!__________________________________________________________________________________________! ! This module contains the Predicted Particle Property (P3) bulk microphysics scheme. ! ! ! ! This code was originally written by H. Morrison, MMM Division, NCAR (Dec 2012). ! ! Modification were made by J. Milbrandt, RPN, Environment Canada (July 2014). ! ! There are two versions of the scheme available: 1) specified droplet number, ! ! 2) predicted droplet number from a specified aerosol distribution. The ! ! predicted droplet number version does NOT include a subgrid-scale vertical velocity ! ! for droplet activation, and hence should only be used for high-resolution ! ! simulations that can resolve vertical motion driving activation. ! ! ! ! For details see: Morrison and Milbrandt (2015) [J. Atmos. Sci., 72, 287-311] ! ! Milbrandt and Morrison (2016) [J. Atmos. Sci., 73, 975-995] ! ! ! ! For questions or bug reports, please contact: ! ! Hugh Morrison (morrison@ucar.edu), or ! ! Jason Milbrandt (jason.milbrandt@canada.ca) ! !__________________________________________________________________________________________! ! ! ! Version: 2.3.2 ! ! Last updated: 2017-02-02 ! !__________________________________________________________________________________________! MODULE MODULE_MP_P3 !WRF ! MODULE MP_P3 !GEM implicit none public :: mp_p3_wrapper_wrf,mp_p3_wrapper_gem,p3_main,polysvp1 private :: gamma,derf,find_lookupTable_indices_1,find_lookupTable_indices_2, & find_lookupTable_indices_3,get_cloud_dsd,get_rain_dsd,calc_bulkRhoRime, & impose_max_total_Ni ! ice microphysics lookup table array dimensions integer, private, parameter :: isize = 50 integer, private, parameter :: iisize = 25 integer, private, parameter :: zsize = 20 ! size of mom6 array in lookup_table (for future 3-moment) integer, private, parameter :: densize = 5 integer, private, parameter :: rimsize = 4 integer, private, parameter :: rcollsize = 30 integer, private, parameter :: tabsize = 12 ! number of quantities used from lookup table integer, private, parameter :: colltabsize = 2 ! number of ice-rain collection quantities used from lookup table integer, private, parameter :: collitabsize = 2 ! number of ice-ice collection quantities used from lookup table real, private, parameter :: real_rcollsize = real(rcollsize) real, private, dimension(densize,rimsize,isize,tabsize) :: itab !ice lookup table values !ice lookup table values for ice-rain collision/collection double precision, private, dimension(densize,rimsize,isize,rcollsize,colltabsize) :: itabcoll ! separated into itabcolli1 and itabcolli2, due to max of 7 dimensional arrays on some FORTRAN compilers double precision, private, dimension(iisize,rimsize,densize,iisize,rimsize,densize) :: itabcolli1 double precision, private, dimension(iisize,rimsize,densize,iisize,rimsize,densize) :: itabcolli2 ! integer switch for warm rain autoconversion/accretion schemes integer, private :: iparam ! droplet spectral shape parameter for mass spectra, used for Seifert and Beheng (2001) ! warm rain autoconversion/accretion option only (iparam = 1) real, private, dimension(16) :: dnu ! lookup table values for rain shape parameter mu_r real, private, dimension(150) :: mu_r_table ! lookup table values for rain number- and mass-weighted fallspeeds and ventilation parameters real, private, dimension(300,10) :: vn_table,vm_table,revap_table ! physical and mathematical constants real, private :: rhosur,rhosui,ar,br,f1r,f2r,ecr,rhow,kr,kc,bimm,aimm,rin,mi0,nccnst, & eci,eri,bcn,cpw,e0,cons1,cons2,cons3,cons4,cons5,cons6,cons7, & inv_rhow,qsmall,nsmall,bsmall,zsmall,cp,g,rd,rv,ep_2,inv_cp,mw,osm, & vi,epsm,rhoa,map,ma,rr,bact,inv_rm1,inv_rm2,sig1,nanew1,f11,f21,sig2, & nanew2,f12,f22,pi,thrd,sxth,piov3,piov6,diff_nucthrs,rho_rimeMin, & rho_rimeMax,inv_rho_rimeMax,max_total_Ni,dbrk,nmltratio contains !==================================================================================================! SUBROUTINE p3_init(lookup_file_1,lookup_file_2,nCat) !------------------------------------------------------------------------------------------! ! This subroutine initializes all physical constants and parameters needed by the P3 ! ! scheme. The subroutine 'P3_INIT' must be called at the first model time step from there ! ! wrapper subroutine, prior to first call to the main scheme subroutine, 'P3_MAIN'. ! !------------------------------------------------------------------------------------------! implicit none ! Passed arguments: character*(*), intent(in) :: lookup_file_1 !lookup table for main processes character*(*), intent(in) :: lookup_file_2 !lookup table for ice category interactions integer, intent(in) :: nCat !number of free ice categories ! Local variables/parameters: integer :: i,j,k,ii,jj,kk,jjj,jjj2,jjjj,jjjj2 real :: lamr,mu_r,lamold,dum,initlamr real :: dm,dum1,dum2,dum3,dum4,dum5,dum6 real :: dd,amg,vt,dia,vn,vm !------------------------------------------------------------------------------------------! ! mathematical/optimization constants pi = 3.14159265 thrd = 1./3. sxth = 1./6. piov3 = pi*thrd piov6 = pi*sxth ! maximum total ice concentration (sum of all categories) max_total_Ni = 500.e+3 !(m) ! switch for warm-rain parameterization ! = 1 Seifert and Beheng 2001 ! = 2 Beheng 1994 ! = 3 Khairoutdinov and Kogan 2000 iparam = 3 ! droplet concentration (m-3) nccnst = 400.e+6 ! parameters for Seifert and Beheng (2001) autoconversion/accretion kc = 9.44e+9 kr = 5.78e+3 ! physical constants cp = 1005. inv_cp = 1./cp g = 9.816 rd = 287.15 rv = 461.51 ep_2 = 0.622 rhosur = 100000./(rd*273.15) rhosui = 60000./(rd*253.15) ar = 841.99667 br = 0.8 f1r = 0.78 f2r = 0.32 ecr = 1. rhow = 997. cpw = 4218. inv_rhow = 1.e-3 !inverse of (max.) density of liquid water ! limits for rime density [kg m-3] rho_rimeMin = 50. rho_rimeMax = 900. inv_rho_rimeMax = 1./rho_rimeMax ! minium allowable prognostic variables qsmall = 1.e-14 nsmall = 1.e-16 bsmall = qsmall*inv_rho_rimeMax !zsmall = 1.e-35 ! Bigg (1953) !bimm = 100. !aimm = 0.66 ! Barklie and Gokhale (1959) bimm = 2. aimm = 0.65 rin = 0.1e-6 mi0 = 4.*piov3*900.*1.e-18 eci = 0.5 eri = 1. bcn = 2. ! mean size for soft lambda_r limiter [microns] dbrk = 600.e-6 ! ratio of rain number produced to ice number loss from melting nmltratio = 0.2 ! saturation pressure at T = 0 C e0 = polysvp1(273.15,0) cons1 = piov6*rhow cons2 = 4.*piov3*rhow cons3 = 1./(cons2*(25.e-6)**3) cons4 = 1./(dbrk**3*pi*rhow) cons5 = piov6*bimm cons6 = piov6**2*rhow*bimm cons7 = 4.*piov3*rhow*(1.e-6)**3 ! aerosol/droplet activation parameters mw = 0.018 osm = 1. vi = 3. epsm = 0.9 rhoa = 1777. map = 0.132 ma = 0.0284 rr = 8.3187 bact = vi*osm*epsm*mw*rhoa/(map*rhow) ! inv_bact = (map*rhow)/(vi*osm*epsm*mw*rhoa) *** to replace /bact ** ! mode 1 inv_rm1 = 2.e+7 ! inverse aerosol mean size (m-1) sig1 = 2.0 ! aerosol standard deviation nanew1 = 300.e6 ! aerosol number mixing ratio (kg-1) f11 = 0.5*exp(2.5*(log(sig1))**2) f21 = 1. + 0.25*log(sig1) ! note: currently only set for a single mode, droplet activation code needs to ! be modified to include the second mode ! mode 2 inv_rm2 = 7.6923076e+5 ! inverse aerosol mean size (m-1) sig2 = 2.5 ! aerosol standard deviation nanew2 = 0. ! aerosol number mixing ratio (kg-1) f12 = 0.5*exp(2.5*(log(sig2))**2) f22 = 1. + 0.25*log(sig2) ! parameters for droplet mass spectral shape, used by Seifert and Beheng (2001) ! warm rain scheme only (iparam = 1) dnu(1) = 0. dnu(2) = -0.557 dnu(3) = -0.430 dnu(4) = -0.307 dnu(5) = -0.186 dnu(6) = -0.067 dnu(7) = 0.050 dnu(8) = 0.167 dnu(9) = 0.282 dnu(10) = 0.397 dnu(11) = 0.512 dnu(12) = 0.626 dnu(13) = 0.739 dnu(14) = 0.853 dnu(15) = 0.966 dnu(16) = 0.966 !------------------------------------------------------------------------------------------! ! read in ice microphysics table print* print*, ' P3 microphysics, version: 2.3.2' print*, ' P3_INIT (READING/CREATING LOOK-UP TABLES) ...' !print*, ' Reading lookup-table 1 ...' open(unit=10,file=lookup_file_1, status='old') do jj = 1,densize do ii = 1,rimsize do i = 1,isize read(10,*) dum,dum,dum,dum,itab(jj,ii,i,1),itab(jj,ii,i,2), & itab(jj,ii,i,3),itab(jj,ii,i,4),itab(jj,ii,i,5), & itab(jj,ii,i,6),itab(jj,ii,i,7),itab(jj,ii,i,8),dum, & itab(jj,ii,i,9),itab(jj,ii,i,10),itab(jj,ii,i,11), & itab(jj,ii,i,12) enddo ! read in table for ice-rain collection do i = 1,isize do j = 1,rcollsize read(10,*) dum,dum,dum,dum,dum,itabcoll(jj,ii,i,j,1), & itabcoll(jj,ii,i,j,2),dum itabcoll(jj,ii,i,j,1) = dlog10(itabcoll(jj,ii,i,j,1)) itabcoll(jj,ii,i,j,2) = dlog10(itabcoll(jj,ii,i,j,2)) enddo enddo enddo enddo ! hm add fix to prevent end-of-file error in nested runs, 3/28/14 close(10) ! read in ice-ice collision lookup table !------------------------------------------------------------------------------------------! ! *** used for multicategory only *** if (nCat>1) then !print*, ' Reading lookup-table 2 ...' open(unit=10,file=lookup_file_2,status='old') do i = 1,iisize do jjj = 1,rimsize do jjjj = 1,densize do ii = 1,iisize do jjj2 = 1,rimsize do jjjj2 = 1,densize read(10,*) dum,dum,dum,dum,dum,dum,dum, & itabcolli1(i,jjj,jjjj,ii,jjj2,jjjj2), & itabcolli2(i,jjj,jjjj,ii,jjj2,jjjj2) enddo enddo enddo enddo enddo enddo close(unit=10) else ! for single cat itabcolli1 = 0. itabcolli2 = 0. endif !------------------------------------------------------------------------------------------! ! Generate lookup table for rain shape parameter mu_r ! this is very fast so it can be generated at the start of each run ! make a 150x1 1D lookup table, this is done in parameter ! space of a scaled mean size proportional qr/Nr -- initlamr !print*, ' Generating rain lookup-table ...' do i = 1,150 ! loop over lookup table values initlamr = 1./((real(i)*2.)*1.e-6 + 250.e-6) ! iterate to get mu_r ! mu_r-lambda relationship is from Cao et al. (2008), eq. (7) ! start with first guess, mu_r = 0 mu_r = 0. do ii=1,50 lamr = initlamr*((mu_r+3.)*(mu_r+2.)*(mu_r+1.)/6.)**thrd ! new estimate for mu_r based on lambda ! set max lambda in formula for mu_r to 20 mm-1, so Cao et al. ! formula is not extrapolated beyond Cao et al. data range dum = min(20.,lamr*1.e-3) mu_r = max(0.,-0.0201*dum**2+0.902*dum-1.718) ! if lambda is converged within 0.1%, then exit loop if (ii.ge.2) then if (abs((lamold-lamr)/lamr).lt.0.001) goto 111 end if lamold = lamr enddo 111 continue ! assign lookup table values mu_r_table(i) = mu_r enddo !....................................................................... ! Generate lookup table for rain fallspeed and ventilation parameters ! the lookup table is two dimensional as a function of number-weighted mean size ! proportional to qr/Nr and shape parameter mu_r mu_r_loop: do ii = 1,10 !** change 10 to 9, since range of mu_r is 0-8 CONFIRM !mu_r_loop: do ii = 1,9 !** change 10 to 9, since range of mu_r is 0-8 mu_r = real(ii-1) ! values of mu ! loop over number-weighted mean size meansize_loop: do jj = 1,300 if (jj.le.20) then dm = (real(jj)*10.-5.)*1.e-6 ! mean size [m] elseif (jj.gt.20) then dm = (real(jj-20)*30.+195.)*1.e-6 ! mean size [m] endif lamr = (mu_r+1)/dm ! do numerical integration over PSD dum1 = 0. ! numerator, number-weighted fallspeed dum2 = 0. ! denominator, number-weighted fallspeed dum3 = 0. ! numerator, mass-weighted fallspeed dum4 = 0. ! denominator, mass-weighted fallspeed dum5 = 0. ! term for ventilation factor in evap dd = 2. ! loop over PSD to numerically integrate number and mass-weighted mean fallspeeds do kk = 1,10000 dia = (real(kk)*dd-dd*0.5)*1.e-6 ! size bin [m] amg = piov6*997.*dia**3 ! mass [kg] amg = amg*1000. ! convert [kg] to [g] !get fallspeed as a function of size [m s-1] if (dia*1.e+6.le.134.43) then vt = 4.5795e+3*amg**(2.*thrd) elseif (dia*1.e+6.lt.1511.64) then vt = 4.962e+1*amg**thrd elseif (dia*1.e+6.lt.3477.84) then vt = 1.732e+1*amg**sxth else vt = 9.17 endif dum1 = dum1 + vt*10.**(mu_r*alog10(dia)+4.*mu_r)*exp(-lamr*dia)*dd*1.e-6 dum2 = dum2 + 10.**(mu_r*alog10(dia)+4.*mu_r)*exp(-lamr*dia)*dd*1.e-6 dum3 = dum3 + vt*10.**((mu_r+3.)*alog10(dia)+4.*mu_r)*exp(-lamr*dia)*dd*1.e-6 dum4 = dum4 + 10.**((mu_r+3.)*alog10(dia)+4.*mu_r)*exp(-lamr*dia)*dd*1.e-6 dum5 = dum5 + (vt*dia)**0.5*10.**((mu_r+1.)*alog10(dia)+3.*mu_r)*exp(-lamr*dia)*dd*1.e-6 enddo ! kk-loop (over PSD) dum2 = max(dum2, 1.e-30) !to prevent divide-by-zero below dum4 = max(dum4, 1.e-30) !to prevent divide-by-zero below dum5 = max(dum5, 1.e-30) !to prevent log10-of-zero below vn_table(jj,ii) = dum1/dum2 vm_table(jj,ii) = dum3/dum4 revap_table(jj,ii) = 10.**(alog10(dum5)+(mu_r+1.)*alog10(lamr)-(3.*mu_r)) enddo meansize_loop enddo mu_r_loop !....................................................................... print*, ' P3_INIT DONE.' print* END SUBROUTINE P3_INIT !==================================================================================================! !-- note: If not running in WRF, one can uncomment the following lines and comment the ! code for s/r mp_p3_wrapper_wrf ! ! ! ! SUBROUTINE mp_p3_wrapper_wrf ! ! ! END SUBROUTINE mp_p3_wrapper_wrf !== SUBROUTINE mp_p3_wrapper_wrf(th_3d,qv_3d,qc_3d,qr_3d,qnr_3d, & th_old_3d,qv_old_3d, & pii,p,dz,w,dt,itimestep, & rainnc,rainncv,sr,snownc,snowncv,n_iceCat, & ids, ide, jds, jde, kds, kde , & ims, ime, jms, jme, kms, kme , & its, ite, jts, jte, kts, kte , & diag_zdbz_3d,diag_effc_3d,diag_effi_3d, & diag_vmi_3d,diag_di_3d,diag_rhopo_3d, & qi1_3d,qni1_3d,qir1_3d,qib1_3d, & qi2_3d,qni2_3d,qir2_3d,qib2_3d,nc_3d) !------------------------------------------------------------------------------------------! ! This subroutine is the main WRF interface with the P3 microphysics scheme. It takes ! ! 3D variables form the driving model and passes 2D slabs (i,k) to the main microphysics ! ! subroutine ('P3_MAIN') over a j-loop. For each slab, 'P3_MAIN' updates the prognostic ! ! variables (hydrometeor variables, potential temperature, and water vapor). The wrapper ! ! also updates the accumulated precipitation arrays and then passes back them, the ! ! updated 3D fields, and some diagnostic fields to the driver model. ! ! ! ! This version of the WRF wrapper works with WRFV3.8. ! !------------------------------------------------------------------------------------------! !--- input: ! pii --> Exner function (nondimensional pressure) (currently not used!) ! p --> pressure (pa) ! dz --> height difference across vertical levels (m) ! w --> vertical air velocity (m/s) ! dt --> time step (s) ! itimestep --> integer time step counter ! n_iceCat --> number of ice-phase categories !--- input/output: ! th_3d --> theta (K) ! qv_3d --> vapor mass mixing ratio (kg/kg) ! qc_3d --> cloud water mass mixing ratio (kg/kg) ! qr_3d --> rain mass mixing ratio (kg/kg) ! qnr_3d --> rain number mixing ratio (#/kg) ! qi1_3d --> total ice mixing ratio (kg/kg) ! qni1_3d --> ice number mixing ratio (#/kg) ! qir1_3d --> rime ice mass mixing ratio (kg/kg) ! qib1_3d --> ice rime volume mixing ratio (m^-3 kg^-1) !--- output: ! rainnc --> accumulated surface precip (mm) ! rainncv --> one time step accumulated surface precip (mm) ! sr --> ice to liquid surface precip ratio ! snownc --> accumulated surface ice precip (mm) ! snowncv --> one time step accumulated surface ice precip (mm) ! ids...kte --> integer domain/tile bounds ! diag_zdbz_3d --> reflectivity (dBZ) ! diag_effc_3d --> cloud droplet effective radius (m) ! diag_effi_3d --> ice effective radius (m) ! diag_vmi_3d --> mean mass weighted ice fallspeed (m/s) ! diag_di_3d --> mean mass weighted ice size (m) ! diag_rhopo_3d --> mean mass weighted ice density (kg/m3) implicit none !--- arguments: integer, intent(in) :: ids, ide, jds, jde, kds, kde , & ims, ime, jms, jme, kms, kme , & its, ite, jts, jte, kts, kte real, dimension(ims:ime, kms:kme, jms:jme), intent(inout):: th_3d,qv_3d,qc_3d,qr_3d, & qnr_3d,diag_zdbz_3d,diag_effc_3d,diag_effi_3d,diag_vmi_3d,diag_di_3d, & diag_rhopo_3d,th_old_3d,qv_old_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(inout):: qi1_3d,qni1_3d,qir1_3d, & qib1_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(inout), optional :: qi2_3d,qni2_3d, & qir2_3d,qib2_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(inout), optional :: nc_3d real, dimension(ims:ime, kms:kme, jms:jme), intent(in) :: pii,p,dz,w real, dimension(ims:ime, jms:jme), intent(inout) :: RAINNC,RAINNCV,SR,SNOWNC,SNOWNCV real, intent(in) :: dt integer, intent(in) :: itimestep integer, intent(in) :: n_iceCat logical :: log_predictNc !--- local variables/parameters: real, dimension(ims:ime, kms:kme) ::nc,ssat real, allocatable, dimension(:,:,:) :: qitot,qirim,nitot,birim,diag_di,diag_vmi, & diag_rhopo,diag_effi real, dimension(its:ite) :: pcprt_liq,pcprt_sol real :: dum1,dum2 integer :: i,k,j logical, parameter :: nk_bottom = .false. !.F. --> nk at model top (as in WRF) allocate (qitot(ims:ime, kms:kme,n_iceCat)) ! ice mixing ratio, mass (total) [kg kg-1] allocate (qirim(ims:ime, kms:kme,n_iceCat)) ! ice mixing ratio, mass (rime) [kg kg-1] allocate (nitot(ims:ime, kms:kme,n_iceCat)) ! ice mixing ratio, number [# kg-1] allocate (birim(ims:ime, kms:kme,n_iceCat)) ! ice mixing ratio, volume [m3 kg-1] allocate (diag_di(ims:ime, kms:kme,n_iceCat)) ! mean-mass ice diameter [m] allocate (diag_vmi(ims:ime, kms:kme,n_iceCat)) ! fall speed (mass-weighted), ice [m s-1] allocate (diag_rhopo(ims:ime, kms:kme,n_iceCat)) ! bulk density, ice [kg m-3] allocate (diag_effi(ims:ime, kms:kme,n_iceCat)) ! effective radius, ice [m] !------------------------------------------------------------------------------------------! log_predictNc=.false. if (present(nc_3d)) log_predictNc = .true. do j = jts,jte ! j loop (north-south) if (log_predictNc) then nc(its:ite,kts:kte)=nc_3d(its:ite,kts:kte,j) ! if Nc is specified then set nc array to zero else nc=0. endif ! note: code for prediction of ssat not currently avaiable, set 2D array to 0 ssat=0. !contruct full ice arrays from individual category arrays: qitot(its:ite,kts:kte,1) = qi1_3d(its:ite,kts:kte,j) qirim(its:ite,kts:kte,1) = qir1_3d(its:ite,kts:kte,j) nitot(its:ite,kts:kte,1) = qni1_3d(its:ite,kts:kte,j) birim(its:ite,kts:kte,1) = qib1_3d(its:ite,kts:kte,j) if (n_iceCat .ge. 2) then qitot(:,:,2) = qi2_3d(:,:,j) qirim(:,:,2) = qir2_3d(:,:,j) nitot(:,:,2) = qni2_3d(:,:,j) birim(:,:,2) = qib2_3d(:,:,j) ! if (n_iceCat .ge. 3) then ! qitot(:,:,3) = qi33d(:,:,j) ! qirim(:,:,3) = qg33d(:,:,j) ! nitot(:,:,3) = qni33d(:,:,j) ! birim(:,:,3) = qvolg33d(:,:,j) ! if (n_iceCat == 4) then ! qitot(:,:,4) = qi43d(:,:,j) ! qirim(:,:,4) = qg43d(:,:,j) ! nitot(:,:,4) = qni43d(:,:,j) ! birim(:,:,4) = qvolg43d(:,:,j) ! endif ! endif endif call P3_MAIN(qc_3d(its:ite,kts:kte,j),nc(its:ite,kts:kte), & qr_3d(its:ite,kts:kte,j),qnr_3d(its:ite,kts:kte,j), & th_3d(its:ite,kts:kte,j),qv_3d(its:ite,kts:kte,j),dt,qitot(its:ite,kts:kte,1:n_iceCat), & qirim(its:ite,kts:kte,1:n_iceCat),nitot(its:ite,kts:kte,1:n_iceCat), & birim(its:ite,kts:kte,1:n_iceCat),ssat(its:ite,kts:kte), & W(its:ite,kts:kte,j),P(its:ite,kts:kte,j), & DZ(its:ite,kts:kte,j),itimestep,pcprt_liq,pcprt_sol,its,ite,kts,kte,nk_bottom,n_iceCat, & diag_zdbz_3d(its:ite,kts:kte,j),diag_effc_3d(its:ite,kts:kte,j), & diag_effi(its:ite,kts:kte,1:n_iceCat),diag_vmi(its:ite,kts:kte,1:n_iceCat), & diag_di(its:ite,kts:kte,1:n_iceCat),diag_rhopo(its:ite,kts:kte,1:n_iceCat), & th_old_3d(its:ite,kts:kte,j),qv_old_3d(its:ite,kts:kte,j),log_predictNc) !surface precipitation output: dum1 = 1000.*dt RAINNC(its:ite,j) = RAINNC(its:ite,j) + pcprt_liq(:)*dum1 ! conversion from m/s to mm/time step RAINNCV(its:ite,j) = pcprt_liq(:)*dum1 ! conversion from m/s to mm/time step SNOWNC(its:ite,j) = SNOWNC(its:ite,j) + pcprt_sol(:)*dum1 ! conversion from m/s to mm/time step SNOWNCV(its:ite,j) = pcprt_sol(:)*dum1 ! conversion from m/s to mm/time step SR(its:ite,j) = pcprt_sol(:)/(pcprt_liq(:)+1.E-12) ! solid-to-liquid ratio !convert nc array from 2D to 3D if Nc is predicted if (log_predictNc) then nc_3d(its:ite,kts:kte,j)=nc(its:ite,kts:kte) endif !decompose full ice arrays into individual category arrays: qi1_3d(its:ite,kts:kte,j) = qitot(its:ite,kts:kte,1) qir1_3d(its:ite,kts:kte,j) = qirim(its:ite,kts:kte,1) qni1_3d(its:ite,kts:kte,j) = nitot(its:ite,kts:kte,1) qib1_3d(its:ite,kts:kte,j) = birim(its:ite,kts:kte,1) if (n_iceCat .eq. 1) then diag_vmi_3d(its:ite,kts:kte,j) = diag_vmi(its:ite,kts:kte,1) diag_di_3d(its:ite,kts:kte,j) = diag_di(its:ite,kts:kte,1) diag_rhopo_3d(its:ite,kts:kte,j) = diag_rhopo(its:ite,kts:kte,1) diag_effi_3d(its:ite,kts:kte,j) = diag_effi(its:ite,kts:kte,1) endif !decompose full ice arrays into individual category arrays: ! qi1_3d(:,:,j) = qitot(:,:,1) ! qir1_3d(:,:,j) = qirim(:,:,1) ! qni1_3d(:,:,j) = nitot(:,:,1) ! qib1_3d(:,:,j) = birim(:,:,1) ! if (n_iceCat .eq. 1) then ! diag_vmi_3d(:,:,j) = diag_vmi(:,:,1) ! diag_di_3d(:,:,j) = diag_di(:,:,1) ! diag_rhopo_3d(:,:,j) = diag_rhopo(:,:,1) ! diag_effi_3d(:,:,j) = diag_effi(:,:,1) ! endif if (n_iceCat .ge. 2) then qi2_3d(:,:,j) = qitot(:,:,2) qir2_3d(:,:,j) = qirim(:,:,2) qni2_3d(:,:,j) = nitot(:,:,2) qib2_3d(:,:,j) = birim(:,:,2) ! do i=its,ite ! do k=kts,kte ! ! ! for output fallspeed, size, and density, use mass-weighting of categories ! ! ****NOTE: this is only for two categories, needs to be modified for more than 2 ! if ((qitot(i,k,1)+qitot(i,k,2)).ge.qsmall) then ! diag_vmi_3d(i,k,j) = (diag_vmi(i,k,1)*qitot(i,k,1)+diag_vmi(i,k,2)*qitot(i,k,2))/(qitot(i,k,1)+qitot(i,k,2)) ! diag_di_3d(i,k,j) = (diag_di(i,k,1)*qitot(i,k,1)+diag_di(i,k,2)*qitot(i,k,2))/(qitot(i,k,1)+qitot(i,k,2)) ! diag_rhopo_3d(i,k,j) = (diag_rhopo(i,k,1)*qitot(i,k,1)+diag_rhopo(i,k,2)*qitot(i,k,2))/(qitot(i,k,1)+qitot(i,k,2)) ! else ! set to default values of 0 if ice is not present ! diag_vmi_3d(i,k,j) = 0. ! diag_di_3d(i,k,j) = 0. ! diag_rhopo_3d(i,k,j) = 0. ! end if ! ! ! for the combined effective radius, we need to approriately weight by mass and projected area ! if (qitot(i,k,1).ge.qsmall) then ! dum1=qitot(i,k,1)/diag_effi(i,k,1) ! else ! dum1=0. ! end if ! if (qitot(i,k,2).ge.qsmall) then ! dum2=qitot(i,k,2)/diag_effi(i,k,2) ! else ! dum2=0. ! end if ! diag_effi_3d(i,k,j)=25.e-6 ! set to default 25 microns ! if (qitot(i,k,1).ge.qsmall.or.qitot(i,k,2).ge.qsmall) then ! diag_effi_3d(i,k,j)=(qitot(i,k,1)+qitot(i,k,2))/(dum1+dum2) ! end if ! ! end do ! end do ! ! if (n_iceCat .ge. 3) then ! ! qi33d(:,:,j) = qitot(:,:,3) ! qg33d(:,:,j) = qirim(:,:,3) ! qni33d(:,:,j) = nitot(:,:,3) ! qvolg33d(:,:,j) = birim(:,:,3) ! ! if (n_iceCat == 4) then ! qi43d(:,:,j) = qitot(:,:,4) ! qg43d(:,:,j) = qirim(:,:,4) ! qni43d(:,:,j) = nitot(:,:,4) ! qvolg43d(:,:,j) = birim(:,:,4) ! endif ! ! endif !if n_iceCat.ge.3 endif !if n_iceCat.ge.2 enddo ! j loop deallocate (qitot,qirim,nitot,birim,diag_di,diag_vmi,diag_rhopo,diag_effi) END SUBROUTINE mp_p3_wrapper_wrf !==================================================================================================! !-- note: to compile with WRF or kin_1d, comment full subroutine and uncomment the following: ! (since mp_p3_wrapper_gem contains some GEM-specific code) ! SUBROUTINE mp_p3_wrapper_gem END SUBROUTINE mp_p3_wrapper_gem !== !--- CURRENT version of mp_p3_wrapper_gem: ! (for radiation interface with ONE ice category only) ! ! ! SUBROUTINE mp_p3_wrapper_gem(qvap,temp,dt,ww,psfc,sigma,kount,trnch,ni,nk,prt_liq, & ! ! ! prt_sol,diag_Zet,diag_Zec,diag_effc,diag_effi,diag_vmi, & ! ! ! diag_di,diag_rhopo,qc,qr,nr,n_iceCat, & ! ! ! qitot_1,qirim_1,nitot_1,birim_1, & ! ! ! qitot_2,qirim_2,nitot_2,birim_2, & ! ! ! qitot_3,qirim_3,nitot_3,birim_3, & ! ! ! qitot_4,qirim_4,nitot_4,birim_4) ! ! ! ! ! ! !------------------------------------------------------------------------------------------! ! ! ! ! This wrapper subroutine is the main GEM interface with the P3 microphysics scheme. It ! ! ! ! ! prepares some necessary fields (converts temperature to potential temperature, etc.), ! ! ! ! ! passes 2D slabs (i,k) to the main microphysics subroutine ('P3_MAIN') -- which updates ! ! ! ! ! the prognostic variables (hydrometeor variables, temperature, and water vapor) and ! ! ! ! ! computes various diagnostics fields (precipitation rates, reflectivity, etc.) -- and ! ! ! ! ! finally converts the updated potential temperature to temperature. ! ! ! ! !------------------------------------------------------------------------------------------! ! ! ! ! ! ! implicit none ! ! ! ! ! ! !----- input/ouput arguments: ----------------------------------------------------------! ! ! ! ! ! ! integer, intent(in) :: ni ! number of columns in slab - ! ! ! integer, intent(in) :: nk ! number of vertical levels - ! ! ! integer, intent(in) :: n_iceCat ! number of ice categories - ! ! ! integer, intent(in) :: kount ! time step counter - ! ! ! integer, intent(in) :: trnch ! number of slice - ! ! ! real, intent(in) :: dt ! model time step s ! ! ! real, intent(inout), dimension(ni,nk) :: qc ! cloud mixing ratio, mass kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk) :: qr ! rain mixing ratio, mass kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk) :: nr ! rain mixing ratio, number # kg-1 ! ! ! real, intent(inout), dimension(ni,nk) :: qitot_1 ! ice mixing ratio, mass (total) kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk) :: qirim_1 ! ice mixing ratio, mass (rime) kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk) :: nitot_1 ! ice mixing ratio, number # kg-1 ! ! ! real, intent(inout), dimension(ni,nk) :: birim_1 ! ice mixing ratio, volume m3 kg-1 ! ! ! ! ! ! real, intent(inout), dimension(ni,nk), optional :: qitot_2 ! ice mixing ratio, mass (total) kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk), optional :: qirim_2 ! ice mixing ratio, mass (rime) kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk), optional :: nitot_2 ! ice mixing ratio, number # kg-1 ! ! ! real, intent(inout), dimension(ni,nk), optional :: birim_2 ! ice mixing ratio, volume m3 kg-1 ! ! ! ! ! ! real, intent(inout), dimension(ni,nk), optional :: qitot_3 ! ice mixing ratio, mass (total) kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk), optional :: qirim_3 ! ice mixing ratio, mass (rime) kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk), optional :: nitot_3 ! ice mixing ratio, number # kg-1 ! ! ! real, intent(inout), dimension(ni,nk), optional :: birim_3 ! ice mixing ratio, volume m3 kg-1 ! ! ! ! ! ! real, intent(inout), dimension(ni,nk), optional :: qitot_4 ! ice mixing ratio, mass (total) kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk), optional :: qirim_4 ! ice mixing ratio, mass (rime) kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk), optional :: nitot_4 ! ice mixing ratio, number # kg-1 ! ! ! real, intent(inout), dimension(ni,nk), optional :: birim_4 ! ice mixing ratio, volume m3 kg-1 ! ! ! ! ! ! real, intent(inout), dimension(ni,nk) :: qvap ! vapor mixing ratio, mass kg kg-1 ! ! ! real, intent(inout), dimension(ni,nk) :: temp ! temperature K ! ! ! real, intent(in), dimension(ni) :: psfc ! surface air pressure Pa ! ! ! real, intent(in), dimension(ni,nk) :: sigma ! sigma = p(k,:)/psfc(:) ! ! ! real, intent(in), dimension(ni,nk) :: ww ! vertical motion m s-1 ! ! ! real, intent(out), dimension(ni) :: prt_liq ! precipitation rate, liquid m s-1 ! ! ! real, intent(out), dimension(ni) :: prt_sol ! precipitation rate, solid m s-1 ! ! ! real, intent(out), dimension(ni,nk) :: diag_Zet ! equivalent reflectivity, 3D dBZ ! ! ! real, intent(out), dimension(ni) :: diag_Zec ! equivalent reflectivity, col-max dBZ ! ! ! real, intent(out), dimension(ni,nk) :: diag_effc ! effective radius, cloud m ! ! ! real, intent(out), dimension(ni,nk) :: diag_effi ! effective radius, ice m ! ! ! real, intent(out), dimension(ni,nk) :: diag_di ! mean-mass diameter, ice m ! ! ! real, intent(out), dimension(ni,nk) :: diag_vmi ! fall speed (mass-weighted), ice m s-1 ! ! ! real, intent(out), dimension(ni,nk) :: diag_rhopo ! bulk density, ice kg m-3 ! ! ! ! ! ! !----------------------------------------------------------------------------------------! ! ! ! ! ! ! !----- local variables and parameters: ! ! ! real, dimension(ni,nk,n_iceCat) :: qitot ! ice mixing ratio, mass (total) kg kg-1 ! ! ! real, dimension(ni,nk,n_iceCat) :: qirim ! ice mixing ratio, mass (rime) kg kg-1 ! ! ! real, dimension(ni,nk,n_iceCat) :: nitot ! ice mixing ratio, number # kg-1 ! ! ! real, dimension(ni,nk,n_iceCat) :: birim ! ice mixing ratio, volume m3 kg-1 ! ! ! ! ! ! real, dimension(ni,nk) :: theta ! potential temperature K ! ! ! real, dimension(ni,nk) :: pres ! pressure Pa ! ! ! real, dimension(ni,nk) :: rho_air ! air density kg m-3 ! ! ! real, dimension(ni,nk) :: DP ! difference in pressure between levels Pa ! ! ! real, dimension(ni,nk) :: DZ ! difference in height between levels m ! ! ! logical, parameter :: nk_BOTTOM = .true. ! .true. for nk at bottom (GEM) ! ! ! integer :: i,k,ktop,kbot,kdir,i_strt,k_strt ! ! ! ! ! ! !----------------------------------------------------------------------------------------! ! ! ! ! ! ! include "thermoconsts.inc" ! ! ! ! ! ! i_strt = 1 ! beginning index of slab ! ! ! k_strt = 1 ! beginning index of column ! ! ! ! ! ! !for nk_bottom = .true. : ! ! ! ktop = 1 ! k index of top level ! ! ! kbot = nk ! k index of bottom level ! ! ! kdir = -1 ! direction of vertical leveling for 1=bottom, nk=top ! ! ! ! ! ! !air pressure: ! ! ! do k = kbot,ktop,kdir ! ! ! pres(:,k)= psfc(:)*sigma(:,k) ! ! ! enddo ! ! ! ! ! ! !air density: ! ! ! rho_air = pres/(RGASD*temp) ! ! ! ! ! ! !pressure difference between levels: ! ! ! DP(:,kbot) = psfc(:)-pres(:,kbot) ! ! ! do k = kbot+kdir,ktop,kdir ! ! ! DP(:,k) = pres(:,k-kdir)-pres(:,k) ! ! ! enddo ! ! ! ! ! ! !thickness of layers for sedimentation calculation: (in height coordiates) ! ! ! DZ = DP/(rho_air*GRAV) ! ! ! ! ! ! !convert to potential temperature: ! ! ! theta = temp*(1.e+5/pres)**0.286 ! ! ! ! ! ! !contruct full ice arrays from individual category arrays: ! ! ! qitot(:,:,1) = qitot_1(:,:) ! ! ! qirim(:,:,1) = qirim_1(:,:) ! ! ! nitot(:,:,1) = nitot_1(:,:) ! ! ! birim(:,:,1) = birim_1(:,:) ! ! ! ! ! ! if (n_iceCat >= 2) then ! ! ! qitot(:,:,2) = qitot_2(:,:) ! ! ! qirim(:,:,2) = qirim_2(:,:) ! ! ! nitot(:,:,2) = nitot_2(:,:) ! ! ! birim(:,:,2) = birim_2(:,:) ! ! ! ! ! ! if (n_iceCat >= 3) then ! ! ! qitot(:,:,3) = qitot_3(:,:) ! ! ! qirim(:,:,3) = qirim_3(:,:) ! ! ! nitot(:,:,3) = nitot_3(:,:) ! ! ! birim(:,:,3) = birim_3(:,:) ! ! ! ! ! ! if (n_iceCat == 4) then ! ! ! qitot(:,:,4) = qitot_4(:,:) ! ! ! qirim(:,:,4) = qirim_4(:,:) ! ! ! nitot(:,:,4) = nitot_4(:,:) ! ! ! birim(:,:,4) = birim_4(:,:) ! ! ! endif ! ! ! endif ! ! ! endif ! ! ! ! ! ! call p3_main(qc,qr,nr,theta,qvap,dt,qitot,qirim,nitot,birim,ww,pres,DZ,kount, & ! ! ! prt_liq,prt_sol,i_strt,ni,k_strt,nk,nk_bottom,n_iceCat,diag_Zet, & ! ! ! diag_effc,diag_effi,diag_vmi,diag_di,diag_rhopo) ! ! ! ! ! ! !decompose full ice arrays back into individual category arrays: ! ! ! qitot_1(:,:) = qitot(:,:,1) ! ! ! qirim_1(:,:) = qirim(:,:,1) ! ! ! nitot_1(:,:) = nitot(:,:,1) ! ! ! birim_1(:,:) = birim(:,:,1) ! ! ! ! ! ! if (n_iceCat >= 2) then ! ! ! qitot_2(:,:) = qitot(:,:,2) ! ! ! qirim_2(:,:) = qirim(:,:,2) ! ! ! nitot_2(:,:) = nitot(:,:,2) ! ! ! birim_2(:,:) = birim(:,:,2) ! ! ! ! ! ! if (n_iceCat >= 3) then ! ! ! qitot_3(:,:) = qitot(:,:,3) ! ! ! qirim_3(:,:) = qirim(:,:,3) ! ! ! nitot_3(:,:) = nitot(:,:,3) ! ! ! birim_3(:,:) = birim(:,:,3) ! ! ! ! ! ! if (n_iceCat == 4) then ! ! ! qitot_4(:,:) = qitot(:,:,4) ! ! ! qirim_4(:,:) = qirim(:,:,4) ! ! ! nitot_4(:,:) = nitot(:,:,4) ! ! ! birim_4(:,:) = birim(:,:,4) ! ! ! endif ! ! ! endif ! ! ! endif ! ! ! ! ! ! !convert back to temperature: ! ! ! temp = theta*(pres*1.e-5)**0.286 ! ! ! ! ! ! !convert precip rates from volume flux (m s-1) to mass flux (kg m-3 s-1): ! ! ! ! (since they are computed back to liq-eqv volume flux in s/r 'ccdiagnostics.F90') ! ! ! prt_liq = prt_liq*1000. ! ! ! prt_sol = prt_sol*1000. ! ! ! ! ! ! !compute composite (column-maximum) reflectivity: ! ! ! do i = 1,ni ! ! ! diag_Zec(i) = maxval(diag_Zet(i,:)) ! ! ! enddo ! ! ! ! ! ! END SUBROUTINE mp_p3_wrapper_gem !==========================================================================================! SUBROUTINE P3_MAIN(qc,nc,qr,nr,th,qv,dt,qitot,qirim,nitot,birim,ssat,uzpl,pres,dzq,it, & pcprt_liq,pcprt_sol,its,ite,kts,kte,nk_bottom,nCat, diag_ze, & diag_effc,diag_effi,diag_vmi,diag_di,diag_rhopo, & th_old,qv_old,log_predictNc) !----------------------------------------------------------------------------------------! ! ! ! This is the main subroutine for the P3 microphysics scheme. It is called from the ! ! wrapper subroutine ('MP_P3_WRAPPER') and is passed i,k slabs of all prognostic ! ! variables -- hydrometeor fields, potential temperature, and water vapor mixing ratio. ! ! Microphysical process rates are computed first. These tendencies are then used to ! ! computed updated values of the prognostic variables. The hydrometeor variables are ! ! then updated further due to sedimentation. ! ! ! ! Several diagnostic values are also computed and returned to the wrapper subroutine, ! ! including precipitation rates. ! ! ! !----------------------------------------------------------------------------------------! implicit none !----- Input/ouput arguments: ----------------------------------------------------------! real, intent(inout), dimension(its:ite,kts:kte) :: qc ! cloud, mass mixing ratio kg kg-1 ! note: Nc may be specified or predicted (set by log_predictNc) real, intent(inout), dimension(its:ite,kts:kte) :: nc ! cloud, number mixing ratio # kg-1 real, intent(inout), dimension(its:ite,kts:kte) :: qr ! rain, mass mixing ratio kg kg-1 real, intent(inout), dimension(its:ite,kts:kte) :: nr ! rain, number mixing ratio # kg-1 real, intent(inout), dimension(its:ite,kts:kte,nCat) :: qitot ! ice, total mass mixing ratio kg kg-1 real, intent(inout), dimension(its:ite,kts:kte,nCat) :: qirim ! ice, rime mass mixing ratio kg kg-1 real, intent(inout), dimension(its:ite,kts:kte,nCat) :: nitot ! ice, total number mixing ratio # kg-1 real, intent(inout), dimension(its:ite,kts:kte,nCat) :: birim ! ice, rime volume mixing ratio m3 kg-1 real, intent(inout), dimension(its:ite,kts:kte) :: ssat ! supersaturation (i.e., qv-qvs) kg kg-1 real, intent(inout), dimension(its:ite,kts:kte) :: qv ! water vapor mixing ratio kg kg-1 real, intent(inout), dimension(its:ite,kts:kte) :: th ! potential temperature K real, intent(inout), dimension(its:ite,kts:kte) :: th_old ! beginning of time step value of theta K real, intent(inout), dimension(its:ite,kts:kte) :: qv_old ! beginning of time step value of qv kg kg-1 real, intent(in), dimension(its:ite,kts:kte) :: uzpl ! vertical air velocity m s-1 real, intent(in), dimension(its:ite,kts:kte) :: pres ! pressure Pa real, intent(in), dimension(its:ite,kts:kte) :: dzq ! vertical grid spacing m real, intent(in) :: dt ! model time step s real, intent(out), dimension(its:ite) :: pcprt_liq ! precipitation rate, liquid m s-1 real, intent(out), dimension(its:ite) :: pcprt_sol ! precipitation rate, solid m s-1 real, intent(out), dimension(its:ite,kts:kte) :: diag_ze ! equivalent reflectivity dBZ real, intent(out), dimension(its:ite,kts:kte) :: diag_effc ! effective radius, cloud m real, intent(out), dimension(its:ite,kts:kte,nCat) :: diag_effi ! effective radius, ice m real, intent(out), dimension(its:ite,kts:kte,nCat) :: diag_vmi ! mass-weighted Vi (w/o rhoa corr) m s-1 real, intent(out), dimension(its:ite,kts:kte,nCat) :: diag_di ! mean size of ice m real, intent(out), dimension(its:ite,kts:kte,nCat) :: diag_rhopo ! bulk ice density kg m-3 integer, intent(in) :: its,ite ! array bounds (horizontal) integer, intent(in) :: kts,kte ! array bounds (vertical) integer, intent(in) :: it ! time step counter NOTE: starts at 1 for first time step integer, intent(in) :: nCat ! number of ice-phase categories logical, intent(in) :: nk_bottom ! .F. -> nk at top (WRF) / .T. -> nk at bottom (GEM) logical, intent(in) :: log_predictNc ! .T. (.F.) for prediction (specification) of Nc !----- Local variables and parameters: -------------------------------------------------! real, dimension(its:ite,kts:kte) :: mu_r ! shape parameter of rain real, dimension(its:ite,kts:kte) :: t ! temperature at the beginning of the microhpysics step [K] real, dimension(its:ite,kts:kte) :: t_old ! temperature at the beginning of the model time step [K] ! 2D size distribution and fallspeed parameters: real, dimension(its:ite,kts:kte) :: lamc real, dimension(its:ite,kts:kte) :: lamr real, dimension(its:ite,kts:kte) :: n0c real, dimension(its:ite,kts:kte) :: logn0r real, dimension(its:ite,kts:kte) :: mu_c real, dimension(its:ite,kts:kte) :: diag_effr real, dimension(its:ite,kts:kte) :: nu real, dimension(its:ite,kts:kte) :: cdist real, dimension(its:ite,kts:kte) :: cdist1 real, dimension(its:ite,kts:kte) :: cdistr real, dimension(its:ite,kts:kte) :: Vt_nc real, dimension(its:ite,kts:kte) :: Vt_qc real, dimension(its:ite,kts:kte) :: Vt_nr real, dimension(its:ite,kts:kte) :: Vt_qr real, dimension(its:ite,kts:kte) :: Vt_qit real, dimension(its:ite,kts:kte) :: Vt_nit !real, dimension(its:ite,kts:kte) :: Vt_zit ! liquid-phase microphysical process rates: ! (all Q process rates in kg kg-1 s-1) ! (all N process rates in # kg-1) real :: qrcon ! rain condensation real :: qcacc ! cloud droplet accretion by rain real :: qcaut ! cloud droplet autoconversion to rain real :: ncacc ! change in cloud droplet number from accretion by rain real :: ncautc ! change in cloud droplet number from autoconversion real :: ncslf ! change in cloud droplet number from self-collection real :: nrslf ! change in rain number from self-collection real :: ncnuc ! change in cloud droplet number from activation of CCN real :: qccon ! cloud droplet condensation real :: qcnuc ! activation of cloud droplets from CCN real :: qrevp ! rain evaporation real :: qcevp ! cloud droplet evaporation real :: nrevp ! change in rain number from evaporation real :: ncautr ! change in rain number from autoconversion of cloud water ! ice-phase microphysical process rates: ! (all Q process rates in kg kg-1 s-1) ! (all N process rates in # kg-1) real, dimension(nCat) :: qccol ! collection cloud water real, dimension(nCat) :: qwgrth ! wet growth rate real, dimension(nCat) :: qidep ! vapor deposition real, dimension(nCat) :: qrcol ! collection rain mass by ice real, dimension(nCat) :: qinuc ! deposition/condensation freezing nuc real, dimension(nCat) :: nccol ! change in cloud droplet number from collection by ice real, dimension(nCat) :: nrcol ! change in rain number from collection by ice real, dimension(nCat) :: ninuc ! change in ice number from deposition/cond-freezing nucleation real, dimension(nCat) :: qisub ! sublimation of ice real, dimension(nCat) :: qimlt ! melting of ice real, dimension(nCat) :: nimlt ! melting of ice real, dimension(nCat) :: nisub ! change in ice number from sublimation real, dimension(nCat) :: nislf ! change in ice number from collection within a category real, dimension(nCat) :: qchetc ! contact freezing droplets real, dimension(nCat) :: qcheti ! contact freezing droplets real, dimension(nCat) :: qrhetc ! contact freezing rain real, dimension(nCat) :: qrheti ! immersion freezing rain real, dimension(nCat) :: nchetc ! contact freezing droplets real, dimension(nCat) :: ncheti ! immersion freezing droplets real, dimension(nCat) :: nrhetc ! contact freezing rain real, dimension(nCat) :: nrheti ! immersion freezing rain real, dimension(nCat) :: nrshdr ! source for rain number from collision of rain/ice above freezing and shedding real, dimension(nCat) :: qcshd ! source for rain mass due to cloud water/ice collision above freezing and shedding or wet growth and shedding real, dimension(nCat) :: qcmul ! change in q, ice multiplication from rime-splitnering of cloud water (not included in the paper) real, dimension(nCat) :: qrmul ! change in q, ice multiplication from rime-splitnering of rain (not included in the paper) real, dimension(nCat) :: nimul ! change in Ni, ice multiplication from rime-splintering (not included in the paper) real, dimension(nCat) :: ncshdc ! source for rain number due to cloud water/ice collision above freezing and shedding (combined with NRSHD in the paper) real, dimension(nCat) :: rhorime_c ! density of rime (from cloud) real, dimension(nCat) :: rhorime_r ! density of rime (from rain) real, dimension(nCat,nCat) :: nicol ! change of N due to ice-ice collision between categories real, dimension(nCat,nCat) :: qicol ! change of q due to ice-ice collision between categories logical, dimension(nCat) :: log_wetgrowth real, dimension(nCat) :: Eii_fact,epsi real :: eii ! temperature dependent aggregation efficiency real, dimension(its:ite,kts:kte,nCat) :: diam_ice real, dimension(its:ite,kts:kte) :: inv_dzq,inv_rho,ze_ice,ze_rain,prec,rho, & rhofacr,rhofaci,acn,xxls,xxlv,xlf,qvs,qvi,sup,supi,ss,vtrmi1,vtrnitot real, dimension(kts:kte) :: dum_qit,dum_qr,dum_nit,dum_qir,dum_bir,dum_zit,dum_nr, & dum_qc,dum_nc,V_qr,V_qit,V_nit,V_nr,V_qc,V_nc,V_zit,flux_qr,flux_qit, & flux_nit,flux_nr,flux_qir,flux_bir,flux_zit,flux_qc,flux_nc,tend_qc,tend_qr, & tend_nr,tend_qit,tend_qir,tend_bir,tend_nit,tend_nc !,tend_zit real :: lammax,lammin,mu,dv,sc,dqsdt,ab,kap,epsr,epsc,xx,aaa,epsilon,sigvl,epsi_tot, & aact,alpha,gamm,gg,psi,eta1,eta2,sm1,sm2,smax,uu1,uu2,dum,dum0,dum1,dum2, & dumqv,dumqvs,dums,dumqc,ratio,qsat0,udiff,dum3,dum4,dum5,dum6,lamold,rdumii, & rdumjj,dqsidt,abi,dumqvi,dap,nacnt,rhop,v_impact,ri,iTc,D_c,D_r,dumlr,tmp1, & tmp2,tmp3,inv_nstep,inv_dum,inv_dum3,odt,oxx,oabi,zero,test,test2,test3, & onstep,fluxdiv_qr,fluxdiv_qit,fluxdiv_nit,fluxdiv_qir,fluxdiv_bir, & fluxdiv_zit,fluxdiv_qc,fluxdiv_nc,fluxdiv_nr,rgvm,D_new,Q_nuc,N_nuc, & deltaD_init,dum1c,dum4c,dum5c,dumt,drhop,timeScaleFactor integer :: dumi,i,k,kk,ii,jj,iice,iice_dest,j,dumk,dumj,dumii,dumjj,dumzz,n,nstep, & tmpint1,tmpint2,ktop,kbot,kdir,qcindex,qrindex,qiindex,dumic,dumiic,dumjjc, & catcoll logical :: log_nucleationPossible,log_hydrometeorsPresent,log_predictSsat,log_tmp1, & log_exitlevel,log_hmossopOn,log_qcpresent,log_qrpresent,log_qipresent, & log_ni_add ! quantities related to process rates/parameters, interpolated from lookup tables: real :: f1pr01 ! number-weighted fallspeed real :: f1pr02 ! mass-weighted fallspeed real :: f1pr03 ! ice collection within a category real :: f1pr04 ! collection of cloud water by ice real :: f1pr05 ! melting real :: f1pr06 ! effective radius real :: f1pr07 ! collection of rain number by ice real :: f1pr08 ! collection of rain mass by ice real :: f1pr09 ! minimum ice number (lambda limiter) real :: f1pr10 ! maximum ice number (lambda limiter) real :: f1pr11 ! not used real :: f1pr12 ! not used real :: f1pr13 ! reflectivity real :: f1pr14 ! melting (ventilation term) real :: f1pr15 ! mass-weighted mean diameter real :: f1pr16 ! mass-weighted mean particle density real :: f1pr17 ! ice-ice category collection change in number real :: f1pr18 ! ice-ice category collection change in mass !-----------------------------------------------------------------------------------! ! End of variabl/parameters declarations. !-----------------------------------------------------------------------------------! !direction of vertical leveling: if (nk_bottom) then !GEM / kin_1d: ktop = kts !k of top level kbot = kte !k of bottom level kdir = -1 !(k: 1=top, nk=bottom) else !WRF / kin_2d: ktop = kte !k of top level kbot = kts !k of bottom level kdir = 1 !(k: 1=bottom, nk=top) endif ! Determine threshold size difference [m] as a function of nCat ! (used for destination category upon ice initiation) ! note -- this code could be moved to 'p3_init' select case (nCat) case (1) deltaD_init = 999. !not used if n_iceCat=1 (but should be defined) case (2) deltaD_init = 500.e-6 case (3) deltaD_init = 400.e-6 case (4) deltaD_init = 235.e-6 case (5) deltaD_init = 175.e-6 case (6:) deltaD_init = 150.e-6 end select ! deltaD_init = 250.e-6 !for testing ! deltaD_init = dummy_in !temporary; passed in from cld1d ! code for prediction of supersaturation is not currently available!!!!!!! log_predictSsat = .false. log_hmossopOn = (nCat.gt.1) !default: off for nCat=1, off for nCat>1 !log_hmossopOn = .true. !switch to have Hallet-Mossop ON !log_hmossopOn = .false. !switch to have Hallet-Mossop OFF inv_dzq = 1./dzq ! inverse of thickness of layers odt = 1./dt ! inverse model time step ! Compute time scale factor over which to apply soft rain lambda limiter ! note: '1./max(30.,dt)' = '1.*min(1./30., 1./dt)' timeScaleFactor = min(1./120., odt) pcprt_liq = 0. pcprt_sol = 0. prec = 0. mu_r = 0. diag_ze = -99. diam_ice = 0. ze_ice = 1.e-22 ze_rain = 1.e-22 diag_effc = 10.e-6 diag_effr = 25.e-6 diag_effi = 25.e-6 diag_vmi = 0. diag_di = 0. diag_rhopo = 0. rhorime_c = 400. !rhorime_r = 400. !-----------------------------------------------------------------------------------! i_loop_main: do i = its,ite ! main i-loop (around the entire scheme) log_hydrometeorsPresent = .false. log_nucleationPossible = .false. k_loop_1: do k = kbot,ktop,kdir !calculate old temperature from old value of theta t_old(i,k) = th_old(i,k)*(pres(i,k)*1.e-5)**(rd*inv_cp) !calculate current temperature from current theta t(i,k) = th(i,k)*(pres(i,k)*1.e-5)**(rd*inv_cp) !calculate some time-varying atmospheric variables rho(i,k) = pres(i,k)/(rd*t(i,k)) inv_rho(i,k) = 1./rho(i,k) xxlv(i,k) = 3.1484e6-2370.*t(i,k) xxls(i,k) = xxlv(i,k)+0.3337e6 xlf(i,k) = xxls(i,k)-xxlv(i,k) dum0 = polysvp1(t_old(i,k),0) dum1 = polysvp1(t_old(i,k),1) qvs(i,k) = ep_2*dum0/max(1.e-3,(pres(i,k)-dum0)) qvi(i,k) = ep_2*dum1/max(1.e-3,(pres(i,k)-dum1)) ! if supersaturation is not predicted or during the first time step, then diagnose from qv and T (qvs) if (.not.(log_predictSsat).or.it.eq.1) then ssat(i,k) = qv_old(i,k)-qvs(i,k) sup(i,k) = qv_old(i,k)/qvs(i,k)-1. supi(i,k) = qv_old(i,k)/qvi(i,k)-1. ! if supersaturation is predicted then diagnose sup and supi from ssat else if ((log_predictSsat).and.it.gt.1) then sup(i,k) = ssat(i,k)/qvs(i,k) supi(i,k) = (ssat(i,k)+qvs(i,k)-qvi(i,k))/qvi(i,k) endif rhofacr(i,k) = (rhosur*inv_rho(i,k))**0.54 rhofaci(i,k) = (rhosui*inv_rho(i,k))**0.54 dum = 1.496e-6*t(i,k)**1.5/(t(i,k)+120.) ! this is mu acn(i,k) = g*rhow/(18.*dum) ! 'a' parameter for droplet fallspeed (Stokes' law) !specify cloud droplet number (for 1-moment version) if (.not.(log_predictNc)) then nc(i,k) = nccnst*inv_rho(i,k) endif if ((t(i,k).lt.273.15 .and. supi(i,k).ge.-0.05) .or. & (t(i,k).ge.273.15 .and. sup(i,k).ge.-0.05 )) log_nucleationPossible = .true. !--- apply mass clipping if dry and mass is sufficiently small ! (implying all mass is expected to evaporate/sublimate in one time step) if (qc(i,k).lt.qsmall .or. (qc(i,k).lt.1.e-8 .and. sup(i,k).lt.-0.1)) then qv(i,k) = qv(i,k) + qc(i,k) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qc(i,k)*xxlv(i,k)*inv_cp qc(i,k) = 0. nc(i,k) = 0. else log_hydrometeorsPresent = .true. ! updated further down endif if (qr(i,k).lt.qsmall .or. (qr(i,k).lt.1.e-8 .and. sup(i,k).lt.-0.1)) then qv(i,k) = qv(i,k) + qr(i,k) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qr(i,k)*xxlv(i,k)*inv_cp qr(i,k) = 0. nr(i,k) = 0. else log_hydrometeorsPresent = .true. ! updated further down endif do iice = 1,nCat if (qitot(i,k,iice).lt.qsmall .or. (qitot(i,k,iice).lt.1.e-8 .and. & supi(i,k).lt.-0.1)) then qv(i,k) = qv(i,k) + qitot(i,k,iice) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qitot(i,k,iice)*xxls(i,k)*inv_cp qitot(i,k,iice) = 0. nitot(i,k,iice) = 0. qirim(i,k,iice) = 0. birim(i,k,iice) = 0. else log_hydrometeorsPresent = .true. ! final update endif if (qitot(i,k,iice).ge.qsmall .and. qitot(i,k,iice).lt.1.e-8 .and. & t(i,k).ge.273.15) then qr(i,k) = qr(i,k) + qitot(i,k,iice) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qitot(i,k,iice)*xlf(i,k)*inv_cp qitot(i,k,iice) = 0. nitot(i,k,iice) = 0. qirim(i,k,iice) = 0. birim(i,k,iice) = 0. endif enddo !iice-loop !=== enddo k_loop_1 !jump to end of i-loop if log_nucleationPossible=.false. (i.e. skip everything) if (.not. (log_nucleationPossible .or. log_hydrometeorsPresent)) goto 333 log_hydrometeorsPresent = .false. ! reset value; used again below !------------------------------------------------------------------------------------------! ! main k-loop (for processes): k_loop_main: do k = kbot,ktop,kdir ! if relatively dry and no hydrometeors at this level, skip to end of k-loop (i.e. skip this level) log_exitlevel = .true. if (qc(i,k).ge.qsmall .or. qr(i,k).ge.qsmall) log_exitlevel = .false. do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall) log_exitlevel = .false. enddo if (log_exitlevel .and. & ((t(i,k).lt.273.15 .and. supi(i,k).lt.-0.05) .or. & (t(i,k).ge.273.15 .and. sup(i,k) .lt.-0.05))) goto 555 !i.e. skip all process rates ! initialize warm-phase process rates qcacc = 0.; qrevp = 0.; qccon = 0. qcaut = 0.; qcevp = 0.; qrcon = 0. ncacc = 0.; ncnuc = 0.; ncslf = 0. ncautc = 0.; qcnuc = 0.; nrslf = 0. nrevp = 0.; ncautr = 0. ! initialize ice-phase process rates qchetc = 0.; qisub = 0.; nrshdr = 0. qcheti = 0.; qrcol = 0.; qcshd = 0. qrhetc = 0.; qimlt = 0.; qccol = 0. qrheti = 0.; qinuc = 0.; nimlt = 0. nchetc = 0.; nccol = 0.; ncshdc = 0. ncheti = 0.; nrcol = 0.; nislf = 0. nrhetc = 0.; ninuc = 0.; qidep = 0. nrheti = 0.; nisub = 0.; qwgrth = 0. qcmul = 0.; qrmul = 0.; nimul = 0. qicol = 0.; nicol = 0. log_wetgrowth = .false. !---------------------------------------------------------------------- predict_supersaturation: if (log_predictSsat) then ! Adjust cloud water and thermodynamics to prognostic supersaturation ! following the method in Grabowski and Morrison (2008). ! Note that the effects of vertical motion are assumed to dominate the ! production term for supersaturation, and the effects are sub-grid ! scale mixing and radiation are not explicitly included. dqsdt = xxlv(i,k)*qvs(i,k)/(rv*t(i,k)*t(i,k)) ab = 1. + dqsdt*xxlv(i,k)*inv_cp epsilon = (qv(i,k)-qvs(i,k)-ssat(i,k))/ab epsilon = max(epsilon,-qc(i,k)) ! limit adjustment to available water ! don't adjust upward if subsaturated ! otherwise this could result in positive adjustment ! (spurious generation ofcloud water) in subsaturated conditions if (ssat(i,k).lt.0.) epsilon = min(0.,epsilon) ! now do the adjustment if (abs(epsilon).ge.1.e-15) then qc(i,k) = qc(i,k)+epsilon qv(i,k) = qv(i,k)-epsilon th(i,k) = th(i,k)+epsilon*th(i,k)/t(i,k)*xxlv(i,k)*inv_cp ! recalculate variables if there was adjustment t(i,k) = th(i,k)*(1.e-5*pres(i,k))**(rd*inv_cp) dum0 = polysvp1(t(i,k),0) dum1 = polysvp1(t(i,k),1) qvs(i,k) = ep_2*dum0/max(1.e-3,(pres(i,k)-dum0)) qvi(i,k) = ep_2*dum1/max(1.e-3,(pres(i,k)-dum1)) sup(i,k) = qv(i,k)/qvs(i,k)-1. supi(i,k) = qv(i,k)/qvi(i,k)-1. ssat(i,k) = qv(i,k)-qvs(i,k) endif endif predict_supersaturation !---------------------------------------------------------------------- ! skip micro process calculations except nucleation/acvtivation if there no hydrometeors are present log_exitlevel = .true. if (qc(i,k).ge.qsmall .or. qr(i,k).ge.qsmall) log_exitlevel = .false. do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall) log_exitlevel=.false. enddo if (log_exitlevel) goto 444 !i.e. skip to nucleation !time/space varying physical variables mu = 1.496e-6*t(i,k)**1.5/(t(i,k)+120.) dv = 8.794e-5*t(i,k)**1.81/pres(i,k) sc = mu/(rho(i,k)*dv) dum = 1./(rv*t(i,k)**2) dqsdt = xxlv(i,k)*qvs(i,k)*dum dqsidt = xxls(i,k)*qvi(i,k)*dum ab = 1.+dqsdt*xxlv(i,k)*inv_cp abi = 1.+dqsidt*xxls(i,k)*inv_cp kap = 1.414e+3*mu ! very simple temperature dependent aggregation efficiency if (t(i,k).lt.253.15) then eii=0.1 else if (t(i,k).ge.253.15.and.t(i,k).lt.268.15) then eii=0.1+(t(i,k)-253.15)/15.*0.9 ! linear ramp from 0.1 to 1 between 253.15 and 268.15 K else if (t(i,k).ge.268.15) then eii=1. end if call get_cloud_dsd(qc(i,k),nc(i,k),mu_c(i,k),rho(i,k),nu(i,k),dnu,lamc(i,k), & lammin,lammax,k,cdist(i,k),cdist1(i,k),tmpint1,log_tmp1) call get_rain_dsd(qr(i,k),nr(i,k),mu_r(i,k),rdumii,dumii,lamr(i,k),mu_r_table, & cdistr(i,k),logn0r(i,k),log_tmp1,tmpint1,tmpint2) !note: log_tmp1,tmpint1,tmpint2 are not used in this section ! initialize inverse supersaturation relaxation timescale for combined ice categories epsi_tot = 0. call impose_max_total_Ni(nitot(i,k,:),max_total_Ni,inv_rho(i,k)) iice_loop1: do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall) then !impose lower limits to prevent taking log of # < 0 nitot(i,k,iice) = max(nitot(i,k,iice),nsmall) nr(i,k) = max(nr(i,k),nsmall) !compute mean-mass ice diameters (estimated; rigorous approach to be implemented later) dum2 = 500. !ice density diam_ice(i,k,iice) = ((qitot(i,k,iice)*6.)/(nitot(i,k,iice)*dum2*pi))**thrd call calc_bulkRhoRime(qitot(i,k,iice),qirim(i,k,iice),birim(i,k,iice),rhop) ! if (.not. tripleMoment_on) zitot(i,k,iice) = diag_mom6(qitot(i,k,iice),nitot(i,k,iice),rho(i,k)) call find_lookupTable_indices_1(dumi,dumj,dumjj,dumii,dumzz, & dum1,dum3,dum4,dum5,dum6, & isize,rimsize,densize,zsize,rcollsize, & qr(i,k),nr(i,k),qitot(i,k,iice),nitot(i,k,iice), & qirim(i,k,iice),999.,rhop,100) ! qirim(i,k,iice),zitot(i,k,iice),rhop,100) !future (3-moment) ! call to lookup table interpolation subroutines to get process rates call access_lookup_table(dumjj,dumii,dumi, 2,dum1,dum4,dum5,f1pr02) call access_lookup_table(dumjj,dumii,dumi, 3,dum1,dum4,dum5,f1pr03) call access_lookup_table(dumjj,dumii,dumi, 4,dum1,dum4,dum5,f1pr04) call access_lookup_table(dumjj,dumii,dumi, 5,dum1,dum4,dum5,f1pr05) call access_lookup_table(dumjj,dumii,dumi, 7,dum1,dum4,dum5,f1pr09) call access_lookup_table(dumjj,dumii,dumi, 8,dum1,dum4,dum5,f1pr10) call access_lookup_table(dumjj,dumii,dumi,10,dum1,dum4,dum5,f1pr14) ! ice-rain collection processes if (qr(i,k).ge.qsmall) then call access_lookup_table_coll(dumjj,dumii,dumj,dumi,1,dum1, & dum3,dum4,dum5,f1pr07) call access_lookup_table_coll(dumjj,dumii,dumj,dumi,2,dum1, & dum3,dum4,dum5,f1pr08) else f1pr07 = 0. f1pr08 = 0. endif ! adjust Ni if needed to make sure mean size is in bounds (i.e. apply lambda limiters) ! note that the Nmax and Nmin are normalized and thus need to be multiplied by existing N nitot(i,k,iice) = min(nitot(i,k,iice),f1pr09*nitot(i,k,iice)) nitot(i,k,iice) = max(nitot(i,k,iice),f1pr10*nitot(i,k,iice)) ! Determine additional collection efficiency factor to be applied to ice-ice collection. ! The computed values of qicol and nicol are multipiled by Eii_fact to gradually shut off collection ! if the ice in iice is highly rimed. if (qirim(i,k,iice)>0.) then tmp1 = qirim(i,k,iice)/qitot(i,k,iice) !rime mass fraction if (tmp1.lt.0.6) then Eii_fact(iice)=1. else if (tmp1.ge.0.6.and.tmp1.lt.0.9) then ! linear ramp from 1 to 0 for Fr between 0.6 and 0.9 Eii_fact(iice) = 1.-(tmp1-0.6)/0.3 else if (tmp1.ge.0.9) then Eii_fact(iice) = 0. endif else Eii_fact(iice) = 1. endif endif ! qitot > qsmall !---------------------------------------------------------------------- ! Begin calculations of microphysical processes !...................................................................... ! ice processes !...................................................................... !....................... ! collection of droplets ! here we multiply rates by air density, air density fallspeed correction ! factor, and collection efficiency since these parameters are not ! included in lookup table calculations ! for T < 273.15, assume collected cloud water is instantly frozen ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall .and. qc(i,k).ge.qsmall .and. t(i,k).le.273.15) then qccol(iice) = rhofaci(i,k)*f1pr04*qc(i,k)*eci*rho(i,k)*nitot(i,k,iice) nccol(iice) = rhofaci(i,k)*f1pr04*nc(i,k)*eci*rho(i,k)*nitot(i,k,iice) endif ! for T > 273.15, assume cloud water is collected and shed as rain drops if (qitot(i,k,iice).ge.qsmall .and. qc(i,k).ge.qsmall .and. t(i,k).gt.273.15) then ! sink for cloud water mass and number, note qcshed is source for rain mass qcshd(iice) = rhofaci(i,k)*f1pr04*qc(i,k)*eci*rho(i,k)*nitot(i,k,iice) nccol(iice) = rhofaci(i,k)*f1pr04*nc(i,k)*eci*rho(i,k)*nitot(i,k,iice) ! source for rain number, assume 1mm drops are shed ncshdc(iice) = qcshd(iice)*1.923e+6 endif !.................... ! collection of rain ! here we multiply rates by air density, air density fallspeed correction ! factor, collection efficiency, and n0r since these parameters are not ! included in lookup table calculations ! for T < 273.15, assume all collected rain mass freezes ! note this is a sink for rain mass and number and a source ! for ice mass ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall .and. qr(i,k).ge.qsmall .and. t(i,k).le.273.15) then ! qrcol(iice)=f1pr08*logn0r(i,k)*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) ! nrcol(iice)=f1pr07*logn0r(i,k)*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) ! note: f1pr08 and logn0r are already calculated as log_10 qrcol(iice) = 10.**(f1pr08+logn0r(i,k))*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) nrcol(iice) = 10.**(f1pr07+logn0r(i,k))*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) endif ! for T > 273.15, assume collected rain number is shed as ! 1 mm drops ! note that melting of ice number is scaled to the loss ! rate of ice mass due to melting ! collection of rain above freezing does not impact total rain mass if (qitot(i,k,iice).ge.qsmall .and. qr(i,k).ge.qsmall .and. t(i,k).gt.273.15) then ! rain number sink due to collection nrcol(iice) = 10.**(f1pr07 + logn0r(i,k))*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) ! rain number source due to shedding = collected rain mass/mass of 1 mm drop dum = 10.**(f1pr08 + logn0r(i,k))*rho(i,k)*rhofaci(i,k)*eri*nitot(i,k,iice) ! for now neglect shedding of ice collecting rain above freezing, since snow is ! not expected to shed in these conditions (though more hevaily rimed ice would be ! expected to lead to shedding) ! nrshdr(iice) = dum*1.923e+6 ! 1./5.2e-7, 5.2e-7 is the mass of a 1 mm raindrop endif !................................... ! collection between ice categories iceice_interaction1: if (iice.ge.2) then ! iceice_interaction1: if (.false.) then !test, to suppress ice-ice interaction qitot_notsmall: if (qitot(i,k,iice).ge.qsmall) then catcoll_loop: do catcoll = 1,iice-1 qitotcatcoll_notsmall: if (qitot(i,k,catcoll).ge.qsmall) then ! first, calculate collection of catcoll category by iice category ! if (.not. tripleMoment_on) zitot(i,k,iice) = diag_mom6(qitot(i,k,iice),nitot(i,k,iice),rho(i,k)) call find_lookupTable_indices_2(dumi,dumii,dumjj,dumic,dumiic, & dumjjc,dum1,dum4,dum5,dum1c,dum4c,dum5c, & iisize,rimsize,densize, & qitot(i,k,iice),qitot(i,k,catcoll),nitot(i,k,iice), & nitot(i,k,catcoll),qirim(i,k,iice),qirim(i,k,catcoll), & birim(i,k,iice),birim(i,k,catcoll)) call access_lookup_table_colli(dumjjc,dumiic,dumic,dumjj,dumii,dumj, & dumi,1,dum1c,dum4c,dum5c,dum1,dum4,dum5,f1pr17) call access_lookup_table_colli(dumjjc,dumiic,dumic,dumjj,dumii,dumj, & dumi,2,dum1c,dum4c,dum5c,dum1,dum4,dum5,f1pr18) ! note: need to multiply by air density, air density fallspeed correction factor, ! and N of the collectee and collector categories for process rates nicol and qicol, ! first index is the collectee, second is the collector nicol(catcoll,iice) = f1pr17*rhofaci(i,k)*rhofaci(i,k)*rho(i,k)* & nitot(i,k,catcoll)*nitot(i,k,iice) qicol(catcoll,iice) = f1pr18*rhofaci(i,k)*rhofaci(i,k)*rho(i,k)* & nitot(i,k,catcoll)*nitot(i,k,iice) nicol(catcoll,iice) = eii*Eii_fact(iice)*nicol(catcoll,iice) qicol(catcoll,iice) = eii*Eii_fact(iice)*qicol(catcoll,iice) ! second, calculate collection of iice category by catcoll category ! if (.not. tripleMoment_on) zitot(i,k,iice) = diag_mom6(qitot(i,k,iice),nitot(i,k,iice),rho(i,k)) !needed to force consistency between qirim(catcoll) and birim(catcoll) (not for rhop) call calc_bulkRhoRime(qitot(i,k,catcoll),qirim(i,k,catcoll),birim(i,k,catcoll),rhop) call find_lookupTable_indices_2(dumi,dumii,dumjj,dumic,dumiic, & dumjjc,dum1,dum4,dum5,dum1c,dum4c,dum5c, & iisize,rimsize,densize, & qitot(i,k,catcoll),qitot(i,k,iice),nitot(i,k,catcoll), & nitot(i,k,iice),qirim(i,k,catcoll),qirim(i,k,iice), & birim(i,k,catcoll),birim(i,k,iice)) call access_lookup_table_colli(dumjjc,dumiic,dumic,dumjj,dumii,dumj, & dumi,1,dum1c,dum4c,dum5c,dum1,dum4,dum5,f1pr17) call access_lookup_table_colli(dumjjc,dumiic,dumic,dumjj,dumii,dumj, & dumi,2,dum1c,dum4c,dum5c,dum1,dum4,dum5,f1pr18) nicol(iice,catcoll) = f1pr17*rhofaci(i,k)*rhofaci(i,k)*rho(i,k)* & nitot(i,k,iice)*nitot(i,k,catcoll) qicol(iice,catcoll) = f1pr18*rhofaci(i,k)*rhofaci(i,k)*rho(i,k)* & nitot(i,k,iice)*nitot(i,k,catcoll) ! note: Eii_fact applied to the collector category nicol(iice,catcoll) = eii*Eii_fact(catcoll)*nicol(iice,catcoll) qicol(iice,catcoll) = eii*Eii_fact(catcoll)*qicol(iice,catcoll) endif qitotcatcoll_notsmall enddo catcoll_loop endif qitot_notsmall endif iceice_interaction1 !............................................. ! self-collection of ice (in a given category) ! here we multiply rates by collection efficiency, air density, ! and air density correction factor since these are not included ! in the lookup table calculations ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall) then nislf(iice) = f1pr03*rho(i,k)*eii*Eii_fact(iice)*rhofaci(i,k)*nitot(i,k,iice) endif !............................................................ ! melting ! need to add back accelerated melting due to collection of ice mass by rain (pracsw1) ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall .and. t(i,k).gt.273.15) then qsat0 = 0.622*e0/(pres(i,k)-e0) ! dum=cpw/xlf(i,k)*(t(i,k)-273.15)*(pracsw1+qcshd(iice)) ! currently enhanced melting from collision is neglected ! dum=cpw/xlf(i,k)*(t(i,k)-273.15)*(pracsw1) dum = 0. ! qimlt(iice)=(f1pr05+f1pr14*sc**0.3333*(rhofaci(i,k)*rho(i,k)/mu)**0.5)* & ! (t(i,k)-273.15)*2.*pi*kap/xlf(i,k)+dum ! include RH dependence qimlt(iice) = ((f1pr05+f1pr14*sc**thrd*(rhofaci(i,k)*rho(i,k)/mu)**0.5)*((t(i,k)- & 273.15)*kap-rho(i,k)*xxlv(i,k)*dv*(qsat0-qv(i,k)))*2.*pi/xlf(i,k)+ & dum)*nitot(i,k,iice) qimlt(iice) = max(qimlt(iice),0.) ! dum1=((f1pr05+f1pr14*sc**0.3333*(rhofaci(i,k)*rho(i,k)/mu)**0.5)* & ! (t(i,k)-273.15)*2.*pi*rho(i,k)*kap/xlf(i,k))*nitot(i,k,iice) dum = -qimlt(iice)*dt/qitot(i,k,iice) dum = max(-1.,dum) nimlt(iice) = dum*nitot(i,k,iice)*odt endif !............................................................ ! calculate wet growth ! similar to Musil (1970), JAS ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall .and. qc(i,k)+qr(i,k).ge.1.e-6 .and. t(i,k).lt.273.15) then qsat0 = 0.622*e0/(pres(i,k)-e0) qwgrth(iice) = ((f1pr05 + f1pr14*sc**thrd*(rhofaci(i,k)*rho(i,k)/mu)**0.5)* & 2.*pi*(rho(i,k)*xxlv(i,k)*dv*(qsat0-qv(i,k))-(t(i,k)-273.15)* & kap)/(xlf(i,k)+cpw*(t(i,k)-273.15)))*nitot(i,k,iice) qwgrth(iice) = max(qwgrth(iice),0.) !calculate shedding for wet growth dum = max(0.,(qccol(iice)+qrcol(iice))-qwgrth(iice)) if (dum.ge.1.e-10) then nrshdr(iice) = nrshdr(iice) + dum*1.923e+6 ! 1/5.2e-7, 5.2e-7 is the mass of a 1 mm raindrop if ((qccol(iice)+qrcol(iice)).ge.1.e-10) then dum1 = 1./(qccol(iice)+qrcol(iice)) qcshd(iice) = qcshd(iice) + dum*qccol(iice)*dum1 qccol(iice) = qccol(iice) - dum*qccol(iice)*dum1 qrcol(iice) = qrcol(iice) - dum*qrcol(iice)*dum1 endif ! densify due to wet growth log_wetgrowth(iice) = .true. endif endif !----------------------------- ! calcualte total inverse ice relaxation timescale combined for all ice categories ! note 'f1pr' values are normalized, so we need to multiply by N if (qitot(i,k,iice).ge.qsmall .and. t(i,k).lt.273.15) then epsi(iice) = ((f1pr05+f1pr14*sc**thrd*(rhofaci(i,k)*rho(i,k)/mu)**0.5)*2.*pi* & rho(i,k)*dv)*nitot(i,k,iice) epsi_tot = epsi_tot + epsi(iice) else epsi(iice) = 0. endif !......................... ! calculate rime density ! FUTURE: Add source term for birim (=qccol/rhorime_c) so that all process rates calculations ! are done together, before conservation. ! NOTE: Tc (ambient) is assumed for the surface temperature. Technically, ! we should diagose graupel surface temperature from heat balance equation. ! (but the ambient temperature is a reasonable approximation; tests show ! very little sensitivity to different assumed values, Milbrandt and Morrison 2012). ! Compute rime density: (based on parameterization of Cober and List, 1993 [JAS]) ! for simplicty use mass-weighted ice and droplet/rain fallspeeds ! if (qitot(i,k,iice).ge.qsmall .and. t(i,k).lt.273.15) then ! NOTE: condition applicable for cloud only; modify when rain is added back if (qccol(iice).ge.qsmall .and. t(i,k).lt.273.15) then ! get mass-weighted mean ice fallspeed vtrmi1(i,k) = f1pr02*rhofaci(i,k) iTc = 1./min(-0.001,t(i,k)-273.15) ! cloud: if (qc(i,k).ge.qsmall) then ! droplet fall speed ! (use Stokes' formulation (thus use analytic solution) Vt_qc(i,k) = acn(i,k)*gamma(4.+bcn+mu_c(i,k))/(lamc(i,k)**bcn*gamma(mu_c(i,k)+4.)) ! use mass-weighted mean size D_c = (mu_c(i,k)+4.)/lamc(i,k) V_impact = abs(vtrmi1(i,k)-Vt_qc(i,k)) Ri = -(0.5e+6*D_c)*V_impact*iTc ! Ri = max(1.,min(Ri,8.)) Ri = max(1.,min(Ri,12.)) if (Ri.le.8.) then rhorime_c(iice) = (0.051 + 0.114*Ri - 0.0055*Ri**2)*1000. else ! for Ri > 8 assume a linear fit between 8 and 12, ! rhorime = 900 kg m-3 at Ri = 12 ! this is somewhat ad-hoc but allows a smoother transition ! in rime density up to wet growth rhorime_c(iice) = 611.+72.25*(Ri-8.) endif endif !if qc>qsmall ! rain: ! assume rime density for rain collecting ice is 900 kg/m3 ! if (qr(i,k).ge.qsmall) then ! D_r = (mu_r(i,k)+1.)/lamr(i,k) ! V_impact = abs(vtrmi1(i,k)-Vt_qr(i,k)) ! Ri = -(0.5e+6*D_r)*V_impact*iTc ! Ri = max(1.,min(Ri,8.)) ! rhorime_r(iice) = (0.051 + 0.114*Ri - 0.0055*Ri*Ri)*1000. ! else ! rhorime_r(iice) = 400. ! endif else rhorime_c(iice) = 400. ! rhorime_r(iice) = 400. endif ! qi > qsmall and T < 273.15 !-------------------- enddo iice_loop1 !-------------------- !............................................................ ! contact and immersion freezing droplets ! contact freezing currently turned off ! dum=7.37*t(i,k)/(288.*10.*pres(i,k))/100. ! dap=4.*pi*1.38e-23*t(i,k)*(1.+dum/rin)/ & ! (6.*pi*rin*mu) ! nacnt=exp(-2.80+0.262*(273.15-t(i,k)))*1000. if (qc(i,k).ge.qsmall .and. t(i,k).le.269.15) then ! qchetc(iice) = pi*pi/3.*Dap*Nacnt*rhow*cdist1(i,k)*gamma(mu_c(i,k)+5.)/lamc(i,k)**4 ! nchetc(iice) = 2.*pi*Dap*Nacnt*cdist1(i,k)*gamma(mu_c(i,k)+2.)/lamc(i,k) ! for future: calculate gamma(mu_c+4) in one place since its used multiple times dum = (1./lamc(i,k))**3 ! qcheti(iice_dest) = cons6*cdist1(i,k)*gamma(7.+pgam(i,k))*exp(aimm*(273.15-t(i,k)))*dum**2 ! ncheti(iice_dest) = cons5*cdist1(i,k)*gamma(pgam(i,k)+4.)*exp(aimm*(273.15-t(i,k)))*dum Q_nuc = cons6*cdist1(i,k)*gamma(7.+mu_c(i,k))*exp(aimm*(273.15-t(i,k)))*dum**2 N_nuc = cons5*cdist1(i,k)*gamma(mu_c(i,k)+4.)*exp(aimm*(273.15-t(i,k)))*dum !--determine destination ice-phase category: dum1 = 900. !density of new ice D_new = ((Q_nuc*6.)/(pi*dum1*N_nuc))**thrd call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & log_ni_add,iice_dest) !== qcheti(iice_dest) = Q_nuc if (log_ni_add) ncheti(iice_dest) = N_nuc endif !............................................................ ! immersion freezing of rain ! for future: get rid of log statements below for rain freezing if (qr(i,k).ge.qsmall.and.t(i,k).le.269.15) then Q_nuc = cons6*exp(log(cdistr(i,k))+log(gamma(7.+mu_r(i,k)))-6.*log(lamr(i,k)))* & exp(aimm*(273.15-T(i,k))) N_nuc = cons5*exp(log(cdistr(i,k))+log(gamma(mu_r(i,k)+4.))-3.*log(lamr(i,k)))* & exp(aimm*(273.15-T(i,k))) !--determine destination ice-phase category: dum1 = 900. !density of new ice D_new = ((Q_nuc*6.)/(pi*dum1*N_nuc))**thrd call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & log_ni_add,iice_dest) !== qrheti(iice_dest) = Q_nuc if (log_ni_add) nrheti(iice_dest) = N_nuc endif !...................................... ! rime splintering (Hallet-Mossop 1974) rimesplintering_on: if (log_hmossopOn) then ! determine destination ice-phase category D_new = 10.e-6 !assumes ice crystals from rime splintering are tiny call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & log_ni_add,iice_dest) iice_loop_HM: do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall.and. (qccol(iice).gt.0. .or. & qrcol(iice).gt.0.)) then if (t(i,k).gt.270.15) then dum = 0. elseif (t(i,k).le.270.15 .and. t(i,k).gt.268.15) then dum = (270.15-t(i,k))*0.5 elseif (t(i,k).le.268.15 .and. t(i,k).ge.265.15) then dum = (t(i,k)-265.15)*thrd elseif (t(i,k).lt.265.15) then dum = 0. endif !rime splintering from riming of cloud droplets ! dum1 = 35.e+4*qccol(iice)*dum*1000. ! 1000 is to convert kg to g ! dum2 = dum1*piov6*900.*(10.e-6)**3 ! assume 10 micron splinters ! qccol(iice) = qccol(iice)-dum2 ! subtract splintering from rime mass transfer ! if (qccol(iice) .lt. 0.) then ! dum2 = qccol(iice) ! qccol(iice) = 0. ! endif ! qcmul(iice_dest) = qcmul(iice_dest)+dum2 ! if (log_ni_add) then ! nimul(iice_dest) = nimul(iice_dest)+dum2/(piov6*900.*(10.e-6)**3) ! end if !rime splintering from riming of raindrops dum1 = 35.e+4*qrcol(iice)*dum*1000. ! 1000 is to convert kg to g dum2 = dum1*piov6*900.*(10.e-6)**3 ! assume 10 micron splinters qrcol(iice) = qrcol(iice)-dum2 ! subtract splintering from rime mass transfer if (qrcol(iice) .lt. 0.) then dum2 = qrcol(iice) qrcol(iice) = 0. endif qrmul(iice_dest) = qrmul(iice_dest) + dum2 if (log_ni_add) nimul(iice_dest) = nimul(iice_dest) + dum2/(piov6*900.*(10.e-6)**3) endif enddo iice_loop_HM endif rimesplintering_on !................................................ ! condensation/evaporation/deposition/sublimation ! (use semi-analytic formulation) !--- note: if the bulk rain fall speed is to be used to calculate rhorime_r, this section ! could be relocated to above ! calculate rain evaporation including ventilation if (qr(i,k).ge.qsmall) then !call find_lookupTable_indices_3(dumii,dumjj,dum1,rdumii,rdumjj,inv_dum3,mu_r(i,k),lamr(i,k)) call find_lookupTable_indices_3(dumii,dumjj,dum1,rdumii,rdumjj,dum3,mu_r(i,k),lamr(i,k)) !interpolate value at mu_r dum1 = revap_table(dumii,dumjj)+(rdumii-real(dumii))/dum3* & (revap_table(dumii+1,dumjj)-revap_table(dumii+1,dumjj)) !interoplate value at mu_r+1 dum2 = revap_table(dumii,dumjj+1)+(rdumii-real(dumii))/dum3* & (revap_table(dumii+1,dumjj+1)-revap_table(dumii+1,dumjj+1)) !final interpolation dum = dum1+(rdumjj-real(dumjj))*(dum2-dum1) epsr = 2.*pi*cdistr(i,k)*rho(i,k)*dv*(f1r*gamma(mu_r(i,k)+2.)/(lamr(i,k))+f2r* & (rho(i,k)/mu)**0.5*sc**thrd*dum) ! number-weighted fallspeed ! value at mu_r ! dum1=vn_table(dumii,dumjj)+(rdumii-real(dumii))/dum3* & !(vn_table(dumii+1,dumjj)-vn_table(dumii+1,dumjj)) ! value at mu_r+1 ! dum2=vn_table(dumii,dumjj+1)+(rdumii-real(dumii))/dum3* & !(vn_table(dumii+1,dumjj+1)-vn_table(dumii+1,dumjj+1)) ! final interpolation ! Vt_nr(i,k) = dum1 + (rdumjj-real(dumjj))*(dum2-dum1) ! Vt_nr(i,k) = Vt_nr(i,k)*rhofacr(i,k) else epsr = 0. !Vt_nr(i,k) = 0. endif if (qc(i,k).ge.qsmall) then epsc = 2.*pi*rho(i,k)*dv*cdist(i,k) else epsc = 0. endif !=== if (t(i,k).lt.273.15) then oabi = 1./abi xx = epsc + epsr + epsi_tot*(1.+xxls(i,k)*inv_cp*dqsdt)*oabi else xx = epsc + epsr endif dumqvi = qvi(i,k) !no modification due to latent heating !---- ! ! ! modify due to latent heating from riming rate ! ! ! - currently this is done by simple linear interpolation ! ! ! between conditions for dry and wet growth --> in wet growth it is assumed ! ! ! that particle surface temperature is at 0 C and saturation vapor pressure ! ! ! is that with respect to liquid. This simple treatment could be improved in the future. ! ! if (qwgrth(iice).ge.1.e-20) then ! ! dum = (qccol(iice)+qrcol(iice))/qwgrth(iice) ! ! else ! ! dum = 0. ! ! endif ! ! dumqvi = qvi(i,k) + dum*(qvs(i,k)-qvi(i,k)) ! ! dumqvi = min(qvs(i,k),dumqvi) !==== ! 'A' term including ice (Bergeron process) ! note: qv and T tendencies due to mixing and radiation are ! currently neglected --> assumed to be much smaller than cooling ! due to vertical motion which IS included ! set equivalent vertical velocity consistent with dT/dt ! since -g/cp*dum = dT/dt therefore dum = -cp/g*dT/dt ! note this formulation for dT/dt is not exact since pressure ! may change and t and t_old were both diagnosed using the current pressure ! errors from this assumption are small dum=-cp/g*(t(i,k)-t_old(i,k))/dt ! dum = qvs(i,k)*rho(i,k)*g*uzpl(i,k)/max(1.e-3,(pres(i,k)-polysvp1(t(i,k),0))) if (t(i,k).lt.273.15) then aaa = (qv(i,k)-qv_old(i,k))/dt - dqsdt*(-dum*g*inv_cp)-(qvs(i,k)-dumqvi)*(1.+xxls(i,k)* & inv_cp*dqsdt)*oabi*epsi_tot else aaa = (qv(i,k)-qv_old(i,k))/dt - dqsdt*(-dum*g*inv_cp) endif xx = max(1.e-20,xx) ! set lower bound on xx to prevent division by zero oxx = 1./xx if (qc(i,k).ge.qsmall) & qccon = (aaa*epsc*oxx+(ssat(i,k)-aaa*oxx)*odt*epsc*oxx*(1.-dexp(-dble(xx*dt))))/ab if (qr(i,k).ge.qsmall) & qrcon = (aaa*epsr*oxx+(ssat(i,k)-aaa*oxx)*odt*epsr*oxx*(1.-dexp(-dble(xx*dt))))/ab !for very small water contents, evaporate instantly if (sup(i,k).lt.-0.001 .and. qc(i,k).lt.1.e-12) & qccon = -qc(i,k)*odt if (sup(i,k).lt.-0.001 .and. qr(i,k).lt.1.e-12) & qrcon = -qr(i,k)*odt if (qccon.lt.0.) then qcevp = -qccon qccon = 0. endif if (qrcon.lt.0.) then qrevp = -qrcon qrcon = 0. endif ! if (ssat(i,k).lt.0.) then ! qccon = min(0.,qccon) ! qrcon = min(0.,qrcon) ! endif if (qrevp.gt.0. .and. qr(i,k).ge.qsmall) then dum1 = -qrevp*dt/qr(i,k) dum1 = max(-1.,dum1) !dum2 = exp(-0.2*mu_r(i,k)) ! mu dependence from Seifert (2008), neglecting size dependence dum2 = 1. ! or, neglect mu dependence nrevp = dum2*dum1*nr(i,k)*odt endif iice_loop_depsub: do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall.and.t(i,k).lt.273.15) then qidep(iice) = (aaa*epsi(iice)*oxx+(ssat(i,k)-aaa*oxx)*odt*epsi(iice)*oxx* & (1.-dexp(-dble(xx*dt))))*oabi+(qvs(i,k)-dumqvi)*epsi(iice)*oabi endif ! if (qv(i,k)-qvi(i,k).lt.0.) qidep(iice) = min(0.,qidep(iice)) !for very small water contents, evaporate instantly if (supi(i,k).lt.-0.001 .and. qitot(i,k,iice).lt.1.e-12) & qidep(iice) = -qitot(i,k,iice)*odt if (qidep(iice).lt.0.) then qisub(iice) = -qidep(iice) qidep(iice) = 0. endif if (qisub(iice).gt.0. .and. qitot(i,k,iice).ge.qsmall) then dum = -qisub(iice)*dt/qitot(i,k,iice) dum = max(-1.,dum) nisub(iice) = dum*nitot(i,k,iice)*odt endif enddo iice_loop_depsub ! in wetgrowth regime, add ice deposition to rain condensation and shed ! neglect for now, instead assume deposition onto wet growth hail goes to ice ! if (log_wetgrowth(iice)) then ! if (qidep(iice).gt.0.) then ! nrshdr(iice) = nrshdr(iice) + qidep(iice)*1.923e+6 ! 1/5.2e-7, 5.2e-7 is the mass of a 1 mm raindrop ! qrcon = qrcon + qidep(iice) ! qidep(iice) = 0. ! endif ! endif 444 continue !................................................................ ! deposition/condensation-freezing nucleation ! allow ice nucleation if < -15 C and > 5% ice supersaturation if (t(i,k).lt.258.15 .and. supi(i,k).ge.0.05) then ! dum = exp(-0.639+0.1296*100.*supi(i,k))*1000.*inv_rho(i,k) !Meyers et al. (1992) dum = 0.005*exp(0.304*(273.15-t(i,k)))*1000.*inv_rho(i,k) !Cooper (1986) dum = min(dum,100.e3*inv_rho(i,k)) N_nuc = max(0.,(dum-sum(nitot(i,k,:)))*odt) if (N_nuc.ge.1.e-20) then Q_nuc = max(0.,(dum-sum(nitot(i,k,:)))*mi0*odt) !--determine destination ice-phase category: dum1 = 900. !density of new ice D_new = ((Q_nuc*6.)/(pi*dum1*N_nuc))**thrd call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & log_ni_add,iice_dest) !== qinuc(iice_dest) = Q_nuc if (log_ni_add) ninuc(iice_dest) = N_nuc endif endif !................................................................. ! droplet activation ! for specified Nc, make sure droplets are present if conditions are supersaturated ! note that this is also applied at the first time step ! this is not applied at the first time step, since saturation adjustment is applied at the first step if (.not.(log_predictNc).and.sup(i,k).gt.1.e-6.and.it.gt.1) then dum = nccnst*inv_rho(i,k)*cons7-qc(i,k) dum = max(0.,dum) dumqvs = ep_2*polysvp1(t(i,k),0)/max(1.e-3,(pres(i,k)-polysvp1(t(i,k),0))) dqsdt = xxlv(i,k)*dumqvs/(rv*t(i,k)*t(i,k)) ab = 1. + dqsdt*xxlv(i,k)*inv_cp dum = min(dum,(qv(i,k)-dumqvs)/ab) ! limit overdepletion of supersaturation qcnuc = dum*odt endif if (log_predictNc) then ! for predicted Nc, calculate activation explicitly from supersaturation ! note that this is also applied at the first time step ! note that this is also applied at the first time step if (sup(i,k).gt.1.e-6) then dum1 = 1./bact**0.5 sigvl = 0.0761 - 1.55e-4*(t(i,k)-273.15) aact = 2.*mw/(rhow*rr*t(i,k))*sigvl sm1 = 2.*dum1*(aact*thrd*inv_rm1)**1.5 sm2 = 2.*dum1*(aact*thrd*inv_rm2)**1.5 uu1 = 2.*log(sm1/sup(i,k))/(4.242*log(sig1)) uu2 = 2.*log(sm2/sup(i,k))/(4.242*log(sig2)) dum1 = nanew1*0.5*(1.-derf(uu1)) ! activated number in kg-1 mode 1 dum2 = nanew2*0.5*(1.-derf(uu2)) ! activated number in kg-1 mode 2 ! make sure this value is not greater than total number of aerosol dum2 = min((nanew1+nanew2),dum1+dum2) dum2 = (dum2-nc(i,k))*odt dum2 = max(0.,dum2) ncnuc = dum2 ! don't include mass increase from droplet activation during first time step ! since this is already accounted for by saturation adjustment below if (it.eq.1) then qcnuc = 0. else qcnuc = ncnuc*cons7 endif endif endif !................................................................ ! saturation adjustment to get initial cloud water ! This is only called once at the beginning of the simulation ! to remove any supersaturation in the intial conditions if (it.eq.1) then dumt = th(i,k)*(pres(i,k)*1.e-5)**(rd*inv_cp) dumqv = qv(i,k) dumqvs = ep_2*polysvp1(dumt,0)/max(1.e-3,(pres(i,k)-polysvp1(dumt,0))) dums = dumqv-dumqvs qccon = dums/(1.+xxlv(i,k)**2*dumqvs/(cp*rv*dumt**2))*odt qccon = max(0.,qccon) if (qccon.le.1.e-7) qccon = 0. endif !................ ! autoconversion qc_not_small: if (qc(i,k).ge.1.e-8) then if (iparam.eq.1) then !Seifert and Beheng (2001) dum = 1.-qc(i,k)/(qc(i,k)+qr(i,k)) dum1 = 600.*dum**0.68*(1.-dum**0.68)**3 ! qcaut = kc/(20.*2.6e-7)*(nu(i,k)+2.)*(nu(i,k)+4.)/(nu(i,k)+1.)**2* & ! (rho(i,k)*qc(i,k)/1000.)**4/(rho(i,k)*nc(i,k)/1.e+6)**2*(1.+ & ! dum1/(1.-dum)**2)*1000.*inv_rho(i,k) ! ncautc = qcaut*2./2.6e-7*1000. qcaut = kc*1.9230769e-5*(nu(i,k)+2.)*(nu(i,k)+4.)/(nu(i,k)+1.)**2* & (rho(i,k)*qc(i,k)*1.e-3)**4/(rho(i,k)*nc(i,k)*1.e-6)**2*(1.+ & dum1/(1.-dum)**2)*1000.*inv_rho(i,k) ncautc = qcaut*7.6923076e+9 elseif (iparam.eq.2) then !Beheng (1994) if (nc(i,k)*rho(i,k)*1.e-6 .lt. 100.) then qcaut = 6.e+28*inv_rho(i,k)*mu_c(i,k)**(-1.7)*(1.e-6*rho(i,k)* & nc(i,k))**(-3.3)*(1.e-3*rho(i,k)*qc(i,k))**4.7 else !2D interpolation of tabled logarithmic values dum = 41.46 + (nc(i,k)*1.e-6*rho(i,k)-100.)*(37.53-41.46)*5.e-3 dum1 = 39.36 + (nc(i,k)*1.e-6*rho(i,k)-100.)*(30.72-39.36)*5.e-3 qcaut = dum+(mu_c(i,k)-5.)*(dum1-dum)*0.1 ! 1000/rho is for conversion from g cm-3/s to kg/kg qcaut = exp(qcaut)*(1.e-3*rho(i,k)*qc(i,k))**4.7*1000.*inv_rho(i,k) endif ncautc = 7.7e+9*qcaut elseif (iparam.eq.3) then !Khroutdinov and Kogan (2000) dum = qc(i,k) qcaut = 1350.*dum**2.47*(nc(i,k)*1.e-6*rho(i,k))**(-1.79) ! note: ncautr is change in Nr; ncautc is change in Nc ncautr = qcaut*cons3 ncautc = qcaut*nc(i,k)/qc(i,k) endif if (qcaut .eq.0.) ncautc = 0. if (ncautc.eq.0.) qcaut = 0. endif qc_not_small !............................ ! self-collection of droplets if (qc(i,k).ge.qsmall) then if (iparam.eq.1) then !Seifert and Beheng (2001) ncslf = -kc*(1.e-3*rho(i,k)*qc(i,k))**2*(nu(i,k)+2.)/(nu(i,k)+1.)* & 1.e+6*inv_rho(i,k)+ncautc elseif (iparam.eq.2) then !Beheng (994) ncslf = -5.5e+16*inv_rho(i,k)*mu_c(i,k)**(-0.63)*(1.e-3*rho(i,k)*qc(i,k))**2 elseif (iparam.eq.3) then !Khroutdinov and Kogan (2000) ncslf = 0. endif endif !............................ ! accretion of cloud by rain if (qr(i,k).ge.qsmall .and. qc(i,k).ge.qsmall) then if (iparam.eq.1) then !Seifert and Beheng (2001) dum = 1.-qc(i,k)/(qc(i,k)+qr(i,k)) dum1 = (dum/(dum+5.e-4))**4 qcacc = kr*rho(i,k)*0.001*qc(i,k)*qr(i,k)*dum1 ncacc = qcacc*rho(i,k)*0.001*(nc(i,k)*rho(i,k)*1.e-6)/(qc(i,k)*rho(i,k)* & 0.001)*1.e+6*inv_rho(i,k) elseif (iparam.eq.2) then !Beheng (994) qcacc = 6.*rho(i,k)*(qc(i,k)*qr(i,k)) ncacc = qcacc*rho(i,k)*1.e-3*(nc(i,k)*rho(i,k)*1.e-6)/(qc(i,k)*rho(i,k)*1.e-3)* & 1.e+6*inv_rho(i,k) elseif (iparam.eq.3) then !Khroutdinov and Kogan (2000) qcacc = 67.*(qc(i,k)*qr(i,k))**1.15 ncacc = qcacc*nc(i,k)/qc(i,k) endif if (qcacc.eq.0.) ncacc = 0. if (ncacc.eq.0.) qcacc = 0. endif !..................................... ! self-collection and breakup of rain ! (breakup following modified Verlinde and Cotton scheme) if (qr(i,k).ge.qsmall) then ! include breakup dum1 = 280.e-6 ! use mass-mean diameter (do this by using ! the old version of lambda w/o mu dependence) ! note there should be a factor of 6^(1/3), but we ! want to keep breakup threshold consistent so 'dum' ! is expressed in terms of lambda rather than mass-mean D dum2 = (qr(i,k)/(pi*rhow*nr(i,k)))**thrd if (dum2.lt.dum1) then dum = 1. else if (dum2.ge.dum1) then dum = 2.-exp(2300.*(dum2-dum1)) endif if (iparam.eq.1.) then nrslf = -dum*kr*1.e-3*qr(i,k)*nr(i,k)*rho(i,k) elseif (iparam.eq.2 .or. iparam.eq.3) then nrslf = -dum*5.78*nr(i,k)*qr(i,k)*rho(i,k) endif endif !................................................................. ! conservation of water !................................................................. ! cloud dum = (qcaut+qcacc+sum(qccol)+qcevp+sum(qchetc)+sum(qcheti)+sum(qcshd))*dt dum1 = qc(i,k)+(qccon+qcnuc)*dt if (dum.gt.dum1 .and. dum.ge.1.e-20) then ratio = dum1/dum qcaut = qcaut*ratio qcacc = qcacc*ratio qcevp = qcevp*ratio qccol = qccol*ratio qchetc = qchetc*ratio qcheti = qcheti*ratio qcshd = qcshd*ratio endif ! rain dum = (qrevp+sum(qrcol)+sum(qrhetc)+sum(qrheti)+sum(qrmul))*dt dum1 = qr(i,k)+(qrcon+qcaut+qcacc+sum(qimlt)+sum(qcshd))*dt if (dum.gt.dum1 .and. dum.ge.1.e-20) then ratio = dum1/dum qrevp = qrevp*ratio qrcol = qrcol*ratio qrhetc = qrhetc*ratio qrheti = qrheti*ratio qrmul = qrmul*ratio endif ! ice do iice = 1,nCat dum = (qisub(iice)+qimlt(iice))*dt dum1 = qitot(i,k,iice)+(qidep(iice)+qinuc(iice)+qrcol(iice)+qccol(iice)+ & qrhetc(iice)+qrheti(iice)+qchetc(iice)+qcheti(iice)+qrmul(iice))*dt do catcoll = 1,nCat !category interaction leading to source for iice category dum1 = dum1 + qicol(catcoll,iice)*dt !category interaction leading to sink for iice category dum = dum + qicol(iice,catcoll)*dt enddo if (dum.gt.dum1 .and. dum.ge.1.e-20) then ratio = dum1/dum qisub(iice) = qisub(iice)*ratio qimlt(iice) = qimlt(iice)*ratio do catcoll = 1,nCat qicol(iice,catcoll) = qicol(iice,catcoll)*ratio enddo endif enddo !iice-loop !--------------------------------------------------------------------------------- ! update prognostic microphysics and thermodynamics variables !--------------------------------------------------------------------------------- !-- ice-phase dependent processes: iice_loop2: do iice = 1,nCat qc(i,k) = qc(i,k) + (-qchetc(iice)-qcheti(iice)-qccol(iice)-qcshd(iice))*dt if (log_predictNc) then nc(i,k) = nc(i,k) + (-nccol(iice)-nchetc(iice)-ncheti(iice))*dt endif qr(i,k) = qr(i,k) + (-qrcol(iice)+qimlt(iice)-qrhetc(iice)-qrheti(iice)+ & qcshd(iice)-qrmul(iice))*dt ! apply factor to source for rain number from melting of ice, (ad-hoc ! but accounts for rapid evaporation of small melting ice particles) nr(i,k) = nr(i,k) + (-nrcol(iice)-nrhetc(iice)-nrheti(iice)-nmltratio*nimlt(iice)+ & nrshdr(iice)+ncshdc(iice))*dt if (qitot(i,k,iice).ge.qsmall) then ! add sink terms, assume density stays constant for sink terms birim(i,k,iice) = birim(i,k,iice) - ((qisub(iice)+qimlt(iice))/qitot(i,k,iice))* & dt*birim(i,k,iice) qirim(i,k,iice) = qirim(i,k,iice) - ((qisub(iice)+qimlt(iice))*qirim(i,k,iice)/ & qitot(i,k,iice))*dt qitot(i,k,iice) = qitot(i,k,iice) - (qisub(iice)+qimlt(iice))*dt endif dum = (qrcol(iice)+qccol(iice)+qrhetc(iice)+qrheti(iice)+ & qchetc(iice)+qcheti(iice)+qrmul(iice))*dt qitot(i,k,iice) = qitot(i,k,iice) + (qidep(iice)+qinuc(iice))*dt + dum qirim(i,k,iice) = qirim(i,k,iice) + dum birim(i,k,iice) = birim(i,k,iice) + (qrcol(iice)*inv_rho_rimeMax+qccol(iice)/ & rhorime_c(iice)+(qrhetc(iice)+qrheti(iice)+qchetc(iice)+ & qcheti(iice)+qrmul(iice))*inv_rho_rimeMax)*dt nitot(i,k,iice) = nitot(i,k,iice) + (ninuc(iice)+nimlt(iice)+nisub(iice)- & nislf(iice)+nrhetc(iice)+nrheti(iice)+nchetc(iice)+ & ncheti(iice)+nimul(iice))*dt interactions_loop: do catcoll = 1,nCat ! add ice-ice category interaction collection tendencies ! note: nicol is a sink for the collectee category, but NOT a source for collector qitot(i,k,catcoll) = qitot(i,k,catcoll) - qicol(catcoll,iice)*dt nitot(i,k,catcoll) = nitot(i,k,catcoll) - nicol(catcoll,iice)*dt qitot(i,k,iice) = qitot(i,k,iice) + qicol(catcoll,iice)*dt ! now modify rime mass and density, assume collection does not modify rime mass ! fraction or density of the collectee, consistent with the assumption that ! these are constant over the PSD if (qitot(i,k,catcoll).ge.qsmall) then !source for collector category qirim(i,k,iice) = qirim(i,k,iice)+qicol(catcoll,iice)*dt* & qirim(i,k,catcoll)/qitot(i,k,catcoll) birim(i,k,iice) = birim(i,k,iice)+qicol(catcoll,iice)*dt* & birim(i,k,catcoll)/qitot(i,k,catcoll) !sink for collectee category qirim(i,k,catcoll) = qirim(i,k,catcoll)-qicol(catcoll,iice)*dt* & qirim(i,k,catcoll)/qitot(i,k,catcoll) birim(i,k,catcoll) = birim(i,k,catcoll)-qicol(catcoll,iice)*dt* & birim(i,k,catcoll)/qitot(i,k,catcoll) endif enddo interactions_loop ! catcoll loop if (qirim(i,k,iice).lt.0.) then qirim(i,k,iice) = 0. birim(i,k,iice) = 0. endif ! densify under wet growth ! -- to be removed post-v2.1. Densification automatically happens ! during wet growth due to parameterized rime density -- if (log_wetgrowth(iice)) then qirim(i,k,iice) = qitot(i,k,iice) birim(i,k,iice) = qirim(i,k,iice)*inv_rho_rimeMax endif ! densify in above freezing conditions and melting ! -- future work -- ! Ideally, this will be treated with the predicted liquid fraction in ice. ! Alternatively, it can be simplified by tending qirim -- qitot ! and birim such that rho_rim (qirim/birim) --> rho_liq during melting. ! == qv(i,k) = qv(i,k) + (-qidep(iice)+qisub(iice)-qinuc(iice))*dt th(i,k) = th(i,k) + th(i,k)/t(i,k)*((qidep(iice)-qisub(iice)+qinuc(iice))* & xxls(i,k)*inv_cp +(qrcol(iice)+qccol(iice)+qchetc(iice)+ & qcheti(iice)+qrhetc(iice)+qrheti(iice)-qimlt(iice))* & xlf(i,k)*inv_cp)*dt enddo iice_loop2 !== !-- warm-phase only processes: qc(i,k) = qc(i,k) + (-qcacc-qcaut+qcnuc+qccon-qcevp)*dt qr(i,k) = qr(i,k) + (qcacc+qcaut+qrcon-qrevp)*dt if (log_predictNc) then nc(i,k) = nc(i,k) + (-ncacc-ncautc+ncslf+ncnuc)*dt else nc(i,k) = nccnst*inv_rho(i,k) endif if (iparam.eq.1 .or. iparam.eq.2) then nr(i,k) = nr(i,k) + (0.5*ncautc+nrslf+nrevp)*dt else nr(i,k) = nr(i,k) + (ncautr+nrslf+nrevp)*dt endif qv(i,k) = qv(i,k) + (-qcnuc-qccon-qrcon+qcevp+qrevp)*dt th(i,k) = th(i,k) + th(i,k)/t(i,k)*((qcnuc+qccon+qrcon-qcevp-qrevp)*xxlv(i,k)* & inv_cp)*dt !== ! clipping for small hydrometeor values if (qc(i,k).lt.qsmall) then qv(i,k) = qv(i,k) + qc(i,k) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qc(i,k)*xxlv(i,k)*inv_cp qc(i,k) = 0. nc(i,k) = 0. else log_hydrometeorsPresent = .true. endif if (qr(i,k).lt.qsmall) then qv(i,k) = qv(i,k) + qr(i,k) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qr(i,k)*xxlv(i,k)*inv_cp qr(i,k) = 0. nr(i,k) = 0. else log_hydrometeorsPresent = .true. endif do iice = 1,nCat if (qitot(i,k,iice).lt.qsmall) then qv(i,k) = qv(i,k) + qitot(i,k,iice) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qitot(i,k,iice)*xxls(i,k)*inv_cp qitot(i,k,iice) = 0. nitot(i,k,iice) = 0. qirim(i,k,iice) = 0. birim(i,k,iice) = 0. else log_hydrometeorsPresent = .true. endif enddo !iice-loop call impose_max_total_Ni(nitot(i,k,:),max_total_Ni,inv_rho(i,k)) !--------------------------------------------------------------------------------- 555 continue enddo k_loop_main if (.not. log_hydrometeorsPresent) goto 333 !------------------------------------------------------------------------------------------! ! End of main microphysical processes section !==========================================================================================! !==========================================================================================! ! Sedimentation: !------------------------------------------------------------------------------------------! ! Cloud sedimentation: ! initialize logicals for presence of hydrometeor species to .false. log_qcpresent = .false. do k = ktop,kbot,-kdir inv_dzq(i,k) = 1./dzq(i,k) ! calculate Q- and N-weighted fallspeeds and find highest k level that hydrometeor is present call get_cloud_dsd(qc(i,k),nc(i,k),mu_c(i,k),rho(i,k),nu(i,k),dnu,lamc(i,k), & lammin,lammax,k,tmp1,tmp2,qcindex,log_qcpresent) ! droplet fall speed ! all droplets in smallest category fallspeed; thus, analytic solution can be used if (qc(i,k).ge.qsmall) then dum = 1./lamc(i,k)**bcn if (log_predictNc) then Vt_nc(i,k) = acn(i,k)*gamma(1.+bcn+mu_c(i,k))*dum/(gamma(mu_c(i,k)+1.)) endif Vt_qc(i,k) = acn(i,k)*gamma(4.+bcn+mu_c(i,k))*dum/(gamma(mu_c(i,k)+4.)) else if (log_predictNc) then Vt_nc(i,k) = 0. endif Vt_qc(i,k) = 0. endif enddo ! k-loop if (log_qcpresent) then ! sedimentation of mass nstep = 1 do k = qcindex+kdir,kbot,-kdir !- weighted fall speed arrays used for sedimentation calculations ! (assigned below to highest non-zero level value at lower levels with Vt_x=0) V_qc(K) = Vt_qc(i,k) if (kdir.eq.1) then if (k.le.qcindex-kdir) then if (V_qc(k).lt.1.E-10) then V_qc(k) = V_qc(k+kdir) endif endif elseif (kdir.eq.-1) then if (k.ge.qcindex-kdir) then if (V_qc(k).lt.1.e-10) then V_qc(k) = V_qc(k+kdir) endif endif endif ! calculate number of split time steps rgvm = V_qc(k) nstep = max(int(rgvm*dt*inv_dzq(i,k)+1.),nstep) dum_qc(k) = qc(i,k)*rho(i,k) tend_qc(K) = 0. enddo ! k-loop inv_nstep = 1./real(nstep) if (nstep.ge.100) then print*,'CLOUD nstep LARGE:',i,nstep stop endif ! calculate sedimentation using first-order upwind method tmp1 = 0. do n = 1,nstep do k = kbot,qcindex,kdir flux_qc(k) = V_qc(k)*dum_qc(k) enddo tmp1 = tmp1 + flux_qc(kbot) !sum flux_ at lowest level for averaging over sub-stepping ! top level with hydrometeor present k = qcindex fluxdiv_qc = flux_qc(k)*inv_dzq(i,k) tend_qc(k) = tend_qc(k)-fluxdiv_qc*inv_nstep*inv_rho(i,k) dum_qc(k) = dum_qc(k)-fluxdiv_qc*dt*inv_nstep ! loop from sceond to top level of hydrometeor to surface do k = qcindex-kdir,kbot,-kdir fluxdiv_qc = (flux_qc(k+kdir)-flux_qc(K))*inv_dzq(i,k) tend_qc(k) = tend_qc(k)+fluxdiv_qc*inv_nstep*inv_rho(i,k) dum_qc(k) = dum_qc(k)+fluxdiv_qc*dt*inv_nstep enddo ! k loop enddo ! nstep-loop do k = kbot,qcindex,kdir qc(i,k) = qc(i,k)+tend_qc(k)*dt enddo ! compute cloud contribution to liquid precipitation rate at surface tmp1 = tmp1*inv_nstep !flux_ at surface, averaged over sub-step pcprt_liq(i) = tmp1*inv_rhow !convert flux_ (kg m-2 s-1) to pcp rate (m s-1) !....................................................................................... ! sedimentation of number if (log_predictNc) then nstep = 1 do k = qcindex+kdir,kbot,-kdir !- weighted fall speed arrays used for sedimentation calculations ! (assigned below to highest non-zero level value at lower levels with Vt_x=0) V_nc(K) = Vt_nc(i,k) if (kdir.eq.1) then if (k.le.qcindex-kdir) then if (V_nc(k).lt.1.E-10) then V_nc(k) = V_nc(k+kdir) endif endif elseif (kdir.eq.-1) then if (k.ge.qcindex-kdir) then if (V_nc(k).lt.1.e-10) then V_nc(k) = V_nc(k+kdir) endif endif endif ! calculate number of split time steps rgvm = V_nc(k) nstep = max(int(rgvm*dt*inv_dzq(i,k)+1.),nstep) dum_nc(k) = nc(i,k)*rho(i,k) tend_nc(K) = 0. enddo ! k-loop inv_nstep = 1./real(nstep) if (nstep.ge.100) then print*,'CLOUD nstep LARGE:',i,nstep stop endif ! calculate sedimentation using first-order upwind method do n = 1,nstep do k = kbot,qcindex,kdir flux_nc(k) = V_nc(k)*dum_nc(k) enddo ! top level with hydrometeor present k = qcindex fluxdiv_nc = flux_nc(k)*inv_dzq(i,k) tend_nc(k) = tend_nc(k)-fluxdiv_nc*inv_nstep*inv_rho(i,k) dum_nc(k) = dum_nc(k)-fluxdiv_nc*dt*inv_nstep ! loop from sceond to top level of hydrometeor to surface do k = qcindex-kdir,kbot,-kdir fluxdiv_nc = (flux_nc(k+kdir)-flux_nc(K))*inv_dzq(i,k) tend_nc(k) = tend_nc(k)+fluxdiv_nc*inv_nstep*inv_rho(i,k) dum_nc(k) = dum_nc(k)+fluxdiv_nc*dt*inv_nstep enddo ! k loop enddo ! nstep-loop do k = kbot,qcindex,kdir nc(i,k) = nc(i,k)+tend_nc(k)*dt enddo endif ! log_predictNc endif ! log_qcpresent !------------------------------------------------------------------------------------------! ! Rain sedimentation: log_qrpresent = .false. do k = ktop,kbot,-kdir call get_rain_dsd(qr(i,k),nr(i,k),mu_r(i,k),rdumii,dumii,lamr(i,k),mu_r_table, & tmp1,tmp2,log_qrpresent,qrindex,k) !note: tmp1,tmp2 are not used in this section if (qr(i,k).ge.qsmall) then ! read in fall mass- and number-weighted fall speeds from lookup table call find_lookupTable_indices_3(dumii,dumjj,dum1,rdumii,rdumjj,inv_dum3, & mu_r(i,k),lamr(i,k)) ! number-weighted fall speed: !at mu_r: dum1 = vn_table(dumii,dumjj)+(rdumii-real(dumii))*inv_dum3* & (vn_table(dumii+1,dumjj)-vn_table(dumii+1,dumjj)) !at mu_r+1: dum2 = vn_table(dumii,dumjj+1)+(rdumii-real(dumii))* & inv_dum3*(vn_table(dumii+1,dumjj+1)-vn_table(dumii+1,dumjj+1)) !interpolated: Vt_nr(i,k) = dum1+(rdumjj-real(dumjj))*(dum2-dum1) Vt_nr(i,k) = Vt_nr(i,k)*rhofacr(i,k) ! mass-weighted fall speed: !at mu_r: dum1 = vm_table(dumii,dumjj)+(rdumii-real(dumii))*inv_dum3* & (vm_table(dumii+1,dumjj)-vm_table(dumii+1,dumjj)) !at mu_r+1: dum2 = vm_table(dumii,dumjj+1)+(rdumii-real(dumii))*inv_dum3* & (vm_table(dumii+1,dumjj+1)-vm_table(dumii+1,dumjj+1)) !interpolated: Vt_qr(i,k) = dum1 + (rdumjj-real(dumjj))*(dum2-dum1) Vt_qr(i,k) = Vt_qr(i,k)*rhofacr(i,k) else Vt_nr(i,k) = 0. Vt_qr(i,k) = 0. endif enddo ! k-loop if (log_qrpresent) then nstep = 1 do k = qrindex+kdir,kbot,-kdir !- weighted fall speed arrays used for sedimentation calculations ! (assigned below to highest non-zero level value at lower levels with Vt_x=0) V_qr(k) = Vt_qr(i,k) V_nr(k) = Vt_nr(i,k) if (kdir.eq.1) then if (k.le.qrindex-kdir) then if (V_qr(k).lt.1.e-10) then V_qr(k) = V_qr(k+kdir) endif if (V_nr(k).lt.1.e-10) then V_nr(k) = V_nr(k+kdir) endif endif elseif (kdir.eq.-1) then if (k.ge.qrindex-kdir) then if (V_qr(k).lt.1.e-10) then V_qr(k) = V_qr(k+kdir) endif if (V_nr(k).lt.1.e-10) then V_nr(k) = V_nr(k+kdir) endif endif endif ! calculate number of split time steps rgvm = max(V_qr(k),V_nr(k)) nstep = max(int(rgvm*dt*inv_dzq(i,k)+1.),nstep) dum_qr(k) = qr(i,k)*rho(i,k) dum_nr(k) = nr(i,k)*rho(i,k) tend_qr(k) = 0. tend_nr(k) = 0. enddo ! k-loop inv_nstep = 1./real(nstep) if (nstep .ge. 100) then print*,'RAIN nstep LARGE:',i,nstep stop endif !--test: explicitly calculate pcp rate: ! pcprt_liq(i) = qr(i,kbot)*rho(i,kbot)*Vt_qr(i,kbot)*1.e-3 !m s-1 !== ! calculate sedimentation using first-order upwind method tmp1 = 0. do n = 1,nstep do k = kbot,qrindex,kdir flux_qr(k) = V_qr(k)*dum_qr(k) flux_nr(k) = V_nr(k)*dum_nr(k) enddo tmp1 = tmp1 + flux_qr(kbot) !sum flux_ at lowest level for averaging over sub-stepping ! top level with hydrometeor present k = qrindex fluxdiv_qr = flux_qr(k)*inv_dzq(i,k) fluxdiv_nr = flux_nr(k)*inv_dzq(i,k) tend_qr(k) = tend_qr(k) - fluxdiv_qr*inv_nstep*inv_rho(i,k) tend_nr(k) = tend_nr(k) - fluxdiv_nr*inv_nstep*inv_rho(i,k) dum_qr(k) = dum_qr(k) - fluxdiv_qr*dt*inv_nstep dum_nr(k) = dum_nr(k) - fluxdiv_nr*dt*inv_nstep ! loop from second to top level of hydrometeor to surface do k = qrindex-kdir,kbot,-kdir fluxdiv_qr = (flux_qr(k+kdir) - flux_qr(K))*inv_dzq(i,k) fluxdiv_nr = (flux_nr(k+kdir) - flux_nr(K))*inv_dzq(i,k) tend_qr(k) = tend_qr(k) + fluxdiv_qr*inv_nstep*inv_rho(i,k) tend_nr(k) = tend_nr(k) + fluxdiv_nr*inv_nstep*inv_rho(i,k) dum_qr(k) = dum_qr(k) + fluxdiv_qr*dt*inv_nstep dum_nr(k) = dum_nr(k) + fluxdiv_nr*dt*inv_nstep enddo ! k loop enddo ! nstep loop ! update prognostic variables with sedimentation tendencies do k = kbot,qrindex,kdir qr(i,k) = qr(i,k) + tend_qr(k)*dt nr(i,k) = nr(i,k) + tend_nr(k)*dt enddo ! add rain component of liquid precipitation rate at surface tmp1 = tmp1*inv_nstep !flux_ at surface, averaged over sub-step tmp1 = tmp1*inv_rhow !convert flux_ (kg m-2 s-1) to pcp rate (m s-1) pcprt_liq(i) = pcprt_liq(i) + tmp1 !add pcp rate from cloud and rain endif ! log_qrpresent !------------------------------------------------------------------------------------------! ! Ice sedimentation: iice_loop_sedi_ice: do iice = 1,nCat log_qipresent = .false. !note: this applies to ice category 'iice' only do k = ktop,kbot,-kdir ! get ice fallspeed for updated variables qitot_not_small: if (qitot(i,k,iice).ge.qsmall) then !impose lower limits to prevent taking log of # < 0 nitot(i,k,iice) = max(nitot(i,k,iice),nsmall) nr(i,k) = max(nr(i,k),nsmall) call calc_bulkRhoRime(qitot(i,k,iice),qirim(i,k,iice),birim(i,k,iice),rhop) ! if (.not. tripleMoment_on) zitot(i,k,iice) = diag_mom6(qitot(i,k,iice),nitot(i,k,iice),rho(i,k)) call find_lookupTable_indices_1(dumi,dumj,dumjj,dumii,dumzz, & dum1,dum3,dum4,dum5,dum6, & isize,rimsize,densize,zsize,rcollsize, & qr(i,k),nr(i,k),qitot(i,k,iice),nitot(i,k,iice), & qirim(i,k,iice),999.,rhop,200) ! qirim(i,k,iice),zitot(i,k,iice),rhop,200) call access_lookup_table(dumjj,dumii,dumi, 1,dum1,dum4,dum5,f1pr01) call access_lookup_table(dumjj,dumii,dumi, 2,dum1,dum4,dum5,f1pr02) call access_lookup_table(dumjj,dumii,dumi, 7,dum1,dum4,dum5,f1pr09) call access_lookup_table(dumjj,dumii,dumi, 8,dum1,dum4,dum5,f1pr10) !-- future (3-moment ice) ! call access_lookup_table(dumzz,dumjj,dumii,dumi, 1,dum1,dum4,dum5,dum6,f1pr01) ! call access_lookup_table(dumzz,dumjj,dumii,dumi, 2,dum1,dum4,dum5,dum6,f1pr02) ! call access_lookup_table(dumzz,dumjj,dumii,dumi, 7,dum1,dum4,dum5,dum6,f1pr09) ! call access_lookup_table(dumzz,dumjj,dumii,dumi, 8,dum1,dum4,dum5,dum6,f1pr10) ! call access_lookup_table(dumzz,dumjj,dumii,dumi,13,dum1,dum4,dum5,dum6,f1pr19) !mom6-weighted V ! call access_lookup_table(dumzz,dumjj,dumii,dumi,14,dum1,dum4,dum5,dum6,f1pr020) !z_max ! call access_lookup_table(dumzz,dumjj,dumii,dumi,15,dum1,dum4,dum5,dum6,f1pr021) !z_min !== ! impose mean ice size bounds (i.e. apply lambda limiters) ! note that the Nmax and Nmin are normalized and thus need to be multiplied by existing N nitot(i,k,iice) = min(nitot(i,k,iice),f1pr09*nitot(i,k,iice)) nitot(i,k,iice) = max(nitot(i,k,iice),f1pr10*nitot(i,k,iice)) ! adjust Zi if needed to make sure mu_i is in bounds ! zitot(i,k,iice) = min(zitot(i,k,iice),f1pr020) ! zitot(i,k,iice) = max(zitot(i,k,iice),f1pr021) if (.not. log_qipresent) then qiindex = k endif log_qipresent = .true. Vt_nit(i,k) = f1pr01*rhofaci(i,k) !number-weighted fall speed (with density factor) Vt_qit(i,k) = f1pr02*rhofaci(i,k) !mass-weighted fall speed (with density factor) ! Vt_zit(i,k) = f1pr19*rhofaci(i,k) !moment6-weighted fall speed (with density factor) diag_vmi(i,k,iice) = f1pr02 !output fallspeed, w/o density correction else Vt_nit(i,k) = 0. Vt_qit(i,k) = 0. ! Vt_zit(i,k) = 0. endif qitot_not_small enddo ! k-loop qipresent: if (log_qipresent) then nstep = 1 do k = qiindex+kdir,kbot,-kdir !- weighted fall speed arrays used for sedimentation calculations ! (assigned below to highest non-zero level value at lower levels with Vt_x=0) V_qit(k) = Vt_qit(i,k) V_nit(k) = Vt_nit(i,k) ! V_zit(k) = Vt_zit(i,k) !--fill in fall speeds levels below lowest level with hydrometeors if (kdir.eq.1) then if (k.le.qiindex-kdir) then if (V_qit(k).lt.1.e-10) V_qit(k) = V_qit(k+kdir) if (V_nit(k).lt.1.e-10) V_nit(k) = V_nit(k+kdir) ! if (V_zit(k).lt.1.e-10) V_zit(k) = V_zit(k+kdir) endif elseif (kdir.eq.-1) then if (k.ge.qiindex-kdir) then if (V_qit(k).lt.1.e-10) V_qit(k) = V_qit(k+kdir) if (V_nit(k).lt.1.e-10) V_nit(k) = V_nit(k+kdir) ! if (V_zit(k).lt.1.e-10) V_zit(k) = V_zit(k+kdir) endif endif ! kdir !== ! calculate number of split time steps rgvm = max(V_qit(k),V_nit(k)) ! rgvm = max(V_zit(k),max(V_qit(k),V_nit(k))) nstep = max(int(rgvm*dt*inv_dzq(i,k)+1.),nstep) dum_qit(k) = qitot(i,k,iice)*rho(i,k) dum_qir(k) = qirim(i,k,iice)*rho(i,k) dum_bir(k) = birim(i,k,iice)*rho(i,k) dum_nit(k) = nitot(i,k,iice)*rho(i,k) ! dum_zit(k) = zitot(i,k,iice)*rho(i,k) tend_qit(k) = 0. tend_qir(k) = 0. tend_bir(k) = 0. tend_nit(k) = 0. ! tend_zit(k) = 0. enddo ! k loop inv_nstep = 1./real(nstep) if (nstep.ge.200) then print*,'ICE nstep LARGE:',i,nstep if (nstep.ge.500) stop endif ! calculate sedimentation using first-order upwind method tmp1 = 0. do n = 1,nstep do k = kbot,qiindex,kdir flux_qit(k) = V_qit(k)*dum_qit(k) flux_nit(k) = V_nit(k)*dum_nit(k) flux_qir(k) = V_qit(k)*dum_qir(k) flux_bir(k) = V_qit(k)*dum_bir(k) ! flux_zit(k) = V_zit(k)*dum_zit(k) enddo tmp1 = tmp1 + flux_qit(kbot) !sum flux_ at lowest level for averaging over sub-stepping ! top level with hydrometeor present k = qiindex fluxdiv_qit = flux_qit(k)*inv_dzq(i,k) fluxdiv_qir = flux_qir(k)*inv_dzq(i,k) fluxdiv_bir = flux_bir(k)*inv_dzq(i,k) fluxdiv_nit = flux_nit(k)*inv_dzq(i,k) ! fluxdiv_zit = flux_zit(k)*inv_dzq(i,k) tend_qit(k) = tend_qit(k) - fluxdiv_qit*inv_nstep*inv_rho(i,k) tend_qir(k) = tend_qir(k) - fluxdiv_qir*inv_nstep*inv_rho(i,k) tend_bir(k) = tend_bir(k) - fluxdiv_bir*inv_nstep*inv_rho(i,k) tend_nit(k) = tend_nit(k) - fluxdiv_nit*inv_nstep*inv_rho(i,k) ! tend_zit(k) = tend_zit(k) - fluxdiv_zit*inv_nstep*inv_rho(i,k) dum_qit(k) = dum_qit(k) - fluxdiv_qit*dt*inv_nstep dum_qir(k) = dum_qir(k) - fluxdiv_qir*dt*inv_nstep dum_bir(k) = dum_bir(k) - fluxdiv_bir*dt*inv_nstep dum_nit(k) = dum_nit(k) - fluxdiv_nit*dt*inv_nstep ! dum_zit(k) = dum_zit(k) - fluxdiv_zit*dt*inv_nstep ! loop from sceond to top level of hydrometeor to surface do k = qiindex-kdir,kbot,-kdir fluxdiv_qit = (flux_qit(k+kdir) - flux_qit(k))*inv_dzq(i,k) fluxdiv_qir = (flux_qir(k+kdir) - flux_qir(k))*inv_dzq(i,k) fluxdiv_bir = (flux_bir(k+kdir) - flux_bir(k))*inv_dzq(i,k) fluxdiv_nit = (flux_nit(k+kdir) - flux_nit(k))*inv_dzq(i,k) ! fluxdiv_zit = (flux_zit(k+kdir) - flux_zit(k))*inv_dzq(i,k) tend_qit(k) = tend_qit(k) + fluxdiv_qit*inv_nstep*inv_rho(i,k) tend_qir(k) = tend_qir(k) + fluxdiv_qir*inv_nstep*inv_rho(i,k) tend_bir(k) = tend_bir(k) + fluxdiv_bir*inv_nstep*inv_rho(i,k) tend_nit(k) = tend_nit(k) + fluxdiv_nit*inv_nstep*inv_rho(i,k) ! tend_zit(k) = tend_zit(k) + fluxdiv_zit*inv_nstep*inv_rho(i,k) dum_qit(k) = dum_qit(k) + fluxdiv_qit*dt*inv_nstep dum_qir(k) = dum_qir(k) + fluxdiv_qir*dt*inv_nstep dum_bir(k) = dum_bir(k) + fluxdiv_bir*dt*inv_nstep dum_nit(k) = dum_nit(k) + fluxdiv_nit*dt*inv_nstep ! dum_zit(k) = dum_nit(k) + fluxdiv_nit*dt*inv_nstep enddo ! k loop enddo ! nstep loop ! update prognostic variables with sedimentation tendencies do k = kbot,qiindex,kdir qitot(i,k,iice) = qitot(i,k,iice) + tend_qit(k)*dt qirim(i,k,iice) = qirim(i,k,iice) + tend_qir(k)*dt birim(i,k,iice) = birim(i,k,iice) + tend_bir(k)*dt nitot(i,k,iice) = nitot(i,k,iice) + tend_nit(k)*dt ! zitot(i,k,iice) = zitot(i,k,iice) + tend_zit(k)*dt enddo ! add contirubtion from iice to solid precipitation rate at surface tmp1 = tmp1*inv_nstep !flux_ at surface, averaged over sub-step tmp1 = tmp1*inv_rhow !convert flux_ (kg m-2 s-1) to pcp rate (m s-1), liquid-equivalent pcprt_sol(i) = pcprt_sol(i) + tmp1 !add pcp rate from endif qipresent enddo iice_loop_sedi_ice !iice-loop !------------------------------------------------------------------------------------------! ! End of sedimentation section !==========================================================================================! !....................................... ! homogeneous freezing of cloud and rain k_loop_fz: do k = kbot,ktop,kdir ! compute mean-mass ice diameters (estimated; rigorous approach to be implemented later) diam_ice(i,k,:) = 0. do iice = 1,nCat if (qitot(i,k,iice).ge.qsmall) then dum1 = max(nitot(i,k,iice),nsmall) dum2 = 500. !ice density diam_ice(i,k,iice) = ((qitot(i,k,iice)*6.)/(dum1*dum2*pi))**thrd endif enddo !iice loop if (qc(i,k).ge.qsmall .and. t(i,k).lt.233.15) then Q_nuc = qc(i,k) N_nuc = max(nc(i,k),nsmall) !--determine destination ice-phase category: dum1 = 900. !density of new ice D_new = ((Q_nuc*6.)/(pi*dum1*N_nuc))**thrd call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & log_ni_add,iice_dest) !== qirim(i,k,iice_dest) = qirim(i,k,iice_dest) + Q_nuc qitot(i,k,iice_dest) = qitot(i,k,iice_dest) + Q_nuc birim(i,k,iice_dest) = birim(i,k,iice_dest) + Q_nuc*inv_rho_rimeMax nitot(i,k,iice_dest) = nitot(i,k,iice_dest) + N_nuc th(i,k) = th(i,k) + th(i,k)/t(i,k)*Q_nuc*xlf(i,k)*inv_cp qc(i,k) = 0. != qc(i,k) - Q_nuc nc(i,k) = 0. != nc(i,k) - N_nuc endif if (qr(i,k).ge.qsmall .and. t(i,k).lt.233.15) then Q_nuc = qr(i,k) N_nuc = max(nr(i,k),nsmall) !--determine destination ice-phase category: dum1 = 900. !density of new ice D_new = ((Q_nuc*6.)/(pi*dum1*N_nuc))**thrd call icecat_destination(qitot(i,k,:),diam_ice(i,k,:),D_new,deltaD_init, & log_ni_add,iice_dest) !== qirim(i,k,iice_dest) = qirim(i,k,iice_dest) + Q_nuc qitot(i,k,iice_dest) = qitot(i,k,iice_dest) + Q_nuc birim(i,k,iice_dest) = birim(i,k,iice_dest) + Q_nuc*inv_rho_rimeMax nitot(i,k,iice_dest) = nitot(i,k,iice_dest) + N_nuc th(i,k) = th(i,k) + th(i,k)/t(i,k)*Q_nuc*xlf(i,k)*inv_cp qr(i,k) = 0. ! = qr(i,k) - Q_nuc nr(i,k) = 0. ! = nr(i,k) - N_nuc endif enddo k_loop_fz !................................................... ! final checks to ensure consistency of mass/number ! and compute diagnostic fields for output k_loop_final_diagnostics: do k = kbot,ktop,kdir ! cloud: if (qc(i,k).ge.qsmall) then call get_cloud_dsd(qc(i,k),nc(i,k),mu_c(i,k),rho(i,k),nu(i,k),dnu,lamc(i,k), & lammin,lammax,k,tmp1,tmp2,tmpint1,log_tmp1) diag_effc(i,k) = 0.5*(mu_c(i,k)+3.)/lamc(i,k) else qv(i,k) = qv(i,k)+qc(i,k) th(i,k) = th(i,k)-th(i,k)/t(i,k)*qc(i,k)*xxlv(i,k)*inv_cp qc(i,k) = 0. nc(i,k) = 0. diag_effc(i,k) = 10.e-6 endif ! rain: if (qr(i,k).ge.qsmall) then call get_rain_dsd(qr(i,k),nr(i,k),mu_r(i,k),rdumii,dumii,lamr(i,k),mu_r_table, & tmp1,tmp2,log_tmp1,tmpint1,tmpint2) ! hm, turn off soft lambda limiter ! impose size limits for rain with 'soft' lambda limiter ! (adjusts over a set timescale rather than within one timestep) ! dum2 = (qr(i,k)/(pi*rhow*nr(i,k)))**thrd ! if (dum2.gt.dbrk) then ! dum = qr(i,k)*cons4 ! !dum1 = (dum-nr(i,k))/max(60.,dt) !time scale for adjustment is 60 s ! dum1 = (dum-nr(i,k))*timeScaleFactor ! nr(i,k) = nr(i,k)+dum1*dt ! endif diag_effr(i,k) = 0.5*(mu_r(i,k)+3.)/lamr(i,k) ! ze_rain(i,k) = n0r(i,k)*720./lamr(i,k)**3/lamr(i,k)**3/lamr(i,k) ! non-exponential rain: ze_rain(i,k) = nr(i,k)*(mu_r(i,k)+6.)*(mu_r(i,k)+5.)*(mu_r(i,k)+4.)* & (mu_r(i,k)+3.)*(mu_r(i,k)+2.)*(mu_r(i,k)+1.)/lamr(i,k)**6 ze_rain(i,k) = max(ze_rain(i,k),1.e-22) else qv(i,k) = qv(i,k)+qr(i,k) th(i,k) = th(i,k)-th(i,k)/t(i,k)*qr(i,k)*xxlv(i,k)*inv_cp qr(i,k) = 0. nr(i,k) = 0. diag_effr(i,k) = 25.e-6 endif ! ice: call impose_max_total_Ni(nitot(i,k,:),max_total_Ni,inv_rho(i,k)) iice_loop_final_diagnostics: do iice = 1,nCat qi_not_small: if (qitot(i,k,iice).ge.qsmall) then !impose lower limits to prevent taking log of # < 0 nitot(i,k,iice) = max(nitot(i,k,iice),nsmall) nr(i,k) = max(nr(i,k),nsmall) call calc_bulkRhoRime(qitot(i,k,iice),qirim(i,k,iice),birim(i,k,iice),rhop) ! if (.not. tripleMoment_on) zitot(i,k,iice) = diag_mom6(qitot(i,k,iice),nitot(i,k,iice),rho(i,k)) call find_lookupTable_indices_1(dumi,dumj,dumjj,dumii,dumzz, & dum1,dum3,dum4,dum5,dum6, & isize,rimsize,densize,zsize,rcollsize, & qr(i,k),nr(i,k),qitot(i,k,iice),nitot(i,k,iice), & qirim(i,k,iice),999.,rhop,300) ! qirim(i,k,iice),zitot(i,k,iice),rhop,100) !future (3-moment) call access_lookup_table(dumjj,dumii,dumi, 6,dum1,dum4,dum5,f1pr06) call access_lookup_table(dumjj,dumii,dumi, 7,dum1,dum4,dum5,f1pr09) call access_lookup_table(dumjj,dumii,dumi, 8,dum1,dum4,dum5,f1pr10) call access_lookup_table(dumjj,dumii,dumi, 9,dum1,dum4,dum5,f1pr13) call access_lookup_table(dumjj,dumii,dumi,11,dum1,dum4,dum5,f1pr15) call access_lookup_table(dumjj,dumii,dumi,12,dum1,dum4,dum5,f1pr16) ! impose mean ice size bounds (i.e. apply lambda limiters) ! note that the Nmax and Nmin are normalized and thus need to be multiplied by existing N nitot(i,k,iice) = min(nitot(i,k,iice),f1pr09*nitot(i,k,iice)) nitot(i,k,iice) = max(nitot(i,k,iice),f1pr10*nitot(i,k,iice)) !--this should already be done in s/r 'calc_bulkRhoRime' if (qirim(i,k,iice).lt.qsmall) then qirim(i,k,iice) = 0. birim(i,k,iice) = 0. endif !== ! note that reflectivity from lookup table is normalized, so we need to multiply by N diag_effi(i,k,iice) = f1pr06 ! units are in m diag_di(i,k,iice) = f1pr15 diag_rhopo(i,k,iice) = f1pr16 ! note factor of air density below is to convert from m^6/kg to m^6/m^3 ze_ice(i,k) = ze_ice(i,k) + 0.1892*f1pr13*nitot(i,k,iice)*rho(i,k) ! sum contribution from each ice category (note: 0.1892 = 0.176/0.93) ze_ice(i,k) = max(ze_ice(i,k),1.e-22) else qv(i,k) = qv(i,k) + qitot(i,k,iice) th(i,k) = th(i,k) - th(i,k)/t(i,k)*qitot(i,k,iice)*xxls(i,k)*inv_cp qitot(i,k,iice) = 0. nitot(i,k,iice) = 0. qirim(i,k,iice) = 0. birim(i,k,iice) = 0. diag_effi(i,k,iice) = 25.e-6 diag_di(i,k,iice) = 0. endif qi_not_small enddo iice_loop_final_diagnostics ! sum ze components and convert to dBZ diag_ze(i,k) = 10.*log10((ze_rain(i,k) + ze_ice(i,k))*1.d+18) ! if qr is very small then set Nr to 0 (needs to be done here after call ! to ice lookup table because a minimum Nr of nsmall will be set otherwise even if qr=0) if (qr(i,k).lt.qsmall) then nr(i,k) = 0. endif enddo k_loop_final_diagnostics !.............................................. ! merge ice categories with similar properties ! note: this should be relocated to above, such that the diagnostic ! ice properties are computed after merging multicat: if (nCat.gt.1) then ! multicat: if (.FALSE.) then ! **** TEST do k = kbot,ktop,kdir do iice = nCat,2,-1 ! simility condition (similar mean sizes; similar bulk densities) if (abs(diag_di(i,k,iice)-diag_di(i,k,iice-1)).le.150.e-6 .and. & abs(diag_rhopo(i,k,iice)-diag_rhopo(i,k,iice-1)).le.100.) then qitot(i,k,iice-1) = qitot(i,k,iice-1) + qitot(i,k,iice) nitot(i,k,iice-1) = nitot(i,k,iice-1) + nitot(i,k,iice) qirim(i,k,iice-1) = qirim(i,k,iice-1) + qirim(i,k,iice) birim(i,k,iice-1) = birim(i,k,iice-1) + birim(i,k,iice) ! zitot(i,k,iice-1) = zitot(i,k,iice-1) + zitot(i,k,iice) qitot(i,k,iice) = 0. nitot(i,k,iice) = 0. qirim(i,k,iice) = 0. birim(i,k,iice) = 0. ! zitot(i,k,iice) = 0. endif enddo !iice loop enddo !k loop endif multicat !.................................................................... 333 continue ! save end of microphysics values of theta and qv as old values for next time step do k = kbot,ktop,kdir th_old(i,k) = th(i,k) qv_old(i,k) = qv(i,k) enddo if (log_predictSsat) then ! recalculate supersaturation from T and qv do k = kbot,ktop,kdir t(i,k) = th(i,k)*(1.e-5*pres(i,k))**(rd*inv_cp) dum0 = polysvp1(t(i,k),0) dum = 0.622*dum0/max(1.e-3,(pres(i,k)-dum0)) ssat(i,k) = qv(i,k)-dum enddo endif !..................................................... ! output only ! if (j.eq.2) then ! do k = kbot,ktop,kdir ! !calculate temperature from theta ! t(i,k) = th(i,k)*(pres(i,k)*1.e-5)**(rd*inv_cp) ! !calculate some time-varying atmospheric variables ! dum0 = polysvp1(t(i,k),0) ! dum1 = polysvp1(t(i,k),1) ! qvs(i,k) = ep_2*dum0/max(1.e-3,(pres(i,k)-dum0)) ! if (qc(i,k).gt.1.e-5) then ! write(6,'(a10,2i5,5e15.5)')'after',i,k,qc(i,k),qr(i,k),nc(i,k),qv(i,k)/qvs(i,k),uzpl(i,k) ! end if ! end do ! end if ! j !..................................................... !..................................................... enddo i_loop_main ! end of main microphysics routine return END SUBROUTINE p3_main !==========================================================================================! SUBROUTINE access_lookup_table(dumjj,dumii,dumi,index,dum1,dum4,dum5,proc) implicit none real :: dum1,dum4,dum5,proc,dproc1,dproc2,iproc1,gproc1,tmp1,tmp2 integer :: dumjj,dumii,dumi,index ! get value at current density index ! first interpolate for current rimed fraction index ! TO BE REMOVED ! dproc1 = itab(dumjj,dumii,dumi,dumk,index)+(dum1-real(dumi))*(itab(dumjj,dumii, & ! dumi+1,dumk,index)-itab(dumjj,dumii,dumi,dumk,index)) ! dproc2 = itab(dumjj,dumii,dumi,dumk+1,index)+(dum1-real(dumi))*(itab(dumjj,dumii, & ! dumi+1,dumk+1,index)-itab(dumjj,dumii,dumi,dumk+1,index)) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) iproc1 = itab(dumjj,dumii,dumi,index)+(dum1-real(dumi))*(itab(dumjj,dumii, & dumi+1,index)-itab(dumjj,dumii,dumi,index)) ! linearly interpolate to get process rates for rimed fraction index + 1 ! to be removed ! dproc1 = itab(dumjj,dumii+1,dumi,dumk,index)+(dum1-real(dumi))*(itab(dumjj,dumii+1, & ! dumi+1,dumk,index)-itab(dumjj,dumii+1,dumi,dumk,index)) ! dproc2 = itab(dumjj,dumii+1,dumi,dumk+1,index)+(dum1-real(dumi))*(itab(dumjj,dumii+1, & ! dumi+1,dumk+1,index)-itab(dumjj,dumii+1,dumi,dumk+1,index)) ! gproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) gproc1 = itab(dumjj,dumii+1,dumi,index)+(dum1-real(dumi))*(itab(dumjj,dumii+1, & dumi+1,index)-itab(dumjj,dumii+1,dumi,index)) tmp1 = iproc1+(dum4-real(dumii))*(gproc1-iproc1) ! get value at density index + 1 ! first interpolate for current rimed fraction index ! to be removed ! dproc1 = itab(dumjj+1,dumii,dumi,dumk,index)+(dum1-real(dumi))*(itab(dumjj+1,dumii, & ! dumi+1,dumk,index)-itab(dumjj+1,dumii,dumi,dumk,index)) ! dproc2 = itab(dumjj+1,dumii,dumi,dumk+1,index)+(dum1-real(dumi))*(itab(dumjj+1,dumii, & ! dumi+1,dumk+1,index)-itab(dumjj+1,dumii,dumi,dumk+1,index)) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) iproc1 = itab(dumjj+1,dumii,dumi,index)+(dum1-real(dumi))*(itab(dumjj+1,dumii, & dumi+1,index)-itab(dumjj+1,dumii,dumi,index)) ! linearly interpolate to get process rates for rimed fraction index + 1 ! to be removed ! dproc1 = itab(dumjj+1,dumii+1,dumi,dumk,index)+(dum1-real(dumi))*(itab(dumjj+1, & ! dumii+1,dumi+1,dumk,index)-itab(dumjj+1,dumii+1,dumi,dumk,index)) ! dproc2 = itab(dumjj+1,dumii+1,dumi,dumk+1,index)+(dum1-real(dumi))*(itab(dumjj+1, & ! dumii+1,dumi+1,dumk+1,index)-itab(dumjj+1,dumii+1,dumi,dumk+1,index)) ! gproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) gproc1 = itab(dumjj+1,dumii+1,dumi,index)+(dum1-real(dumi))*(itab(dumjj+1, & dumii+1,dumi+1,index)-itab(dumjj+1,dumii+1,dumi,index)) tmp2 = iproc1+(dum4-real(dumii))*(gproc1-iproc1) ! get final process rate proc = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) END SUBROUTINE access_lookup_table !------------------------------------------------------------------------------------------! SUBROUTINE access_lookup_table_coll(dumjj,dumii,dumj,dumi,index,dum1,dum3, & dum4,dum5,proc) implicit none real :: dum1,dum3,dum4,dum5,proc,dproc1,dproc2,iproc1,gproc1,tmp1,tmp2,dproc11, & dproc12,dproc21,dproc22 integer :: dumjj,dumii,dumj,dumi,index ! This subroutine interpolates lookup table values for rain/ice collection processes ! current density index ! current rime fraction index ! to be removed ! dproc11 = itabcoll(dumjj,dumii,dumi,dumk,dumj,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj,dumii,dumi+1,dumk,dumj,index)-itabcoll(dumjj,dumii,dumi, & ! dumk,dumj,index)) ! dproc21 = itabcoll(dumjj,dumii,dumi,dumk+1,dumj,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj,dumii,dumi+1,dumk+1,dumj,index)-itabcoll(dumjj,dumii,dumi, & ! dumk+1,dumj,index)) ! dproc1 = dproc11+(dum2-real(dumk))*(dproc21-dproc11) dproc1 = itabcoll(dumjj,dumii,dumi,dumj,index)+(dum1-real(dumi))* & (itabcoll(dumjj,dumii,dumi+1,dumj,index)-itabcoll(dumjj,dumii,dumi, & dumj,index)) ! to be removed ! dproc12 = itabcoll(dumjj,dumii,dumi,dumk,dumj+1,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj,dumii,dumi+1,dumk,dumj+1,index)-itabcoll(dumjj,dumii,dumi, & ! dumk,dumj+1,index)) ! dproc22 = itabcoll(dumjj,dumii,dumi,dumk+1,dumj+1,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj,dumii,dumi+1,dumk+1,dumj+1,index)-itabcoll(dumjj,dumii, & ! dumi,dumk+1,dumj+1,index)) ! dproc2 = dproc12+(dum2-real(dumk))*(dproc22-dproc12) dproc2 = itabcoll(dumjj,dumii,dumi,dumj+1,index)+(dum1-real(dumi))* & (itabcoll(dumjj,dumii,dumi+1,dumj+1,index)-itabcoll(dumjj,dumii,dumi, & dumj+1,index)) iproc1 = dproc1+(dum3-real(dumj))*(dproc2-dproc1) ! rime fraction index + 1 ! to be removed ! dproc11 = itabcoll(dumjj,dumii+1,dumi,dumk,dumj,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj,dumii+1,dumi+1,dumk,dumj,index)-itabcoll(dumjj,dumii+1, & ! dumi,dumk,dumj,index)) ! dproc21 = itabcoll(dumjj,dumii+1,dumi,dumk+1,dumj,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj,dumii+1,dumi+1,dumk+1,dumj,index)-itabcoll(dumjj,dumii+1, & ! dumi,dumk+1,dumj,index)) ! dproc1 = dproc11+(dum2-real(dumk))*(dproc21-dproc11) dproc1 = itabcoll(dumjj,dumii+1,dumi,dumj,index)+(dum1-real(dumi))* & (itabcoll(dumjj,dumii+1,dumi+1,dumj,index)-itabcoll(dumjj,dumii+1, & dumi,dumj,index)) ! to be removed ! dproc12 = itabcoll(dumjj,dumii+1,dumi,dumk,dumj+1,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj,dumii+1,dumi+1,dumk,dumj+1,index)-itabcoll(dumjj,dumii+1, & ! dumi,dumk,dumj+1,index)) ! dproc22 = itabcoll(dumjj,dumii+1,dumi,dumk+1,dumj+1,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj,dumii+1,dumi+1,dumk+1,dumj+1,index)-itabcoll(dumjj,dumii+1, & ! dumi,dumk+1,dumj+1,index)) ! dproc2 = dproc12+(dum2-real(dumk))*(dproc22-dproc12) dproc2 = itabcoll(dumjj,dumii+1,dumi,dumj+1,index)+(dum1-real(dumi))* & (itabcoll(dumjj,dumii+1,dumi+1,dumj+1,index)-itabcoll(dumjj,dumii+1, & dumi,dumj+1,index)) gproc1 = dproc1+(dum3-real(dumj))*(dproc2-dproc1) tmp1 = iproc1+(dum4-real(dumii))*(gproc1-iproc1) ! density index + 1 ! current rime fraction index ! to be removed ! dproc11 = itabcoll(dumjj+1,dumii,dumi,dumk,dumj,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj+1,dumii,dumi+1,dumk,dumj,index)-itabcoll(dumjj+1,dumii, & ! dumi,dumk,dumj,index)) ! dproc21 = itabcoll(dumjj+1,dumii,dumi,dumk+1,dumj,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj+1,dumii,dumi+1,dumk+1,dumj,index)-itabcoll(dumjj+1,dumii, & ! dumi,dumk+1,dumj,index)) ! dproc1 = dproc11+(dum2-real(dumk))*(dproc21-dproc11) dproc1 = itabcoll(dumjj+1,dumii,dumi,dumj,index)+(dum1-real(dumi))* & (itabcoll(dumjj+1,dumii,dumi+1,dumj,index)-itabcoll(dumjj+1,dumii, & dumi,dumj,index)) ! to be removed ! dproc12 = itabcoll(dumjj+1,dumii,dumi,dumk,dumj+1,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj+1,dumii,dumi+1,dumk,dumj+1,index)-itabcoll(dumjj+1,dumii, & ! dumi,dumk,dumj+1,index)) ! dproc22 = itabcoll(dumjj+1,dumii,dumi,dumk+1,dumj+1,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj+1,dumii,dumi+1,dumk+1,dumj+1,index)-itabcoll(dumjj+1, & ! dumii,dumi,dumk+1,dumj+1,index)) ! dproc2 = dproc12+(dum2-real(dumk))*(dproc22-dproc12) dproc2 = itabcoll(dumjj+1,dumii,dumi,dumj+1,index)+(dum1-real(dumi))* & (itabcoll(dumjj+1,dumii,dumi+1,dumj+1,index)-itabcoll(dumjj+1,dumii, & dumi,dumj+1,index)) iproc1 = dproc1+(dum3-real(dumj))*(dproc2-dproc1) ! rime fraction index + 1 ! to be removed ! dproc11 = itabcoll(dumjj+1,dumii+1,dumi,dumk,dumj,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj+1,dumii+1,dumi+1,dumk,dumj,index)-itabcoll(dumjj+1,dumii+1, & ! dumi,dumk,dumj,index)) ! dproc21 = itabcoll(dumjj+1,dumii+1,dumi,dumk+1,dumj,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj+1,dumii+1,dumi+1,dumk+1,dumj,index)-itabcoll(dumjj+1, & ! dumii+1,dumi,dumk+1,dumj,index)) ! dproc1 = dproc11+(dum2-real(dumk))*(dproc21-dproc11) dproc1 = itabcoll(dumjj+1,dumii+1,dumi,dumj,index)+(dum1-real(dumi))* & (itabcoll(dumjj+1,dumii+1,dumi+1,dumj,index)-itabcoll(dumjj+1,dumii+1, & dumi,dumj,index)) ! to be removed ! dproc12 = itabcoll(dumjj+1,dumii+1,dumi,dumk,dumj+1,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj+1,dumii+1,dumi+1,dumk,dumj+1,index)-itabcoll(dumjj+1, & ! dumii+1,dumi,dumk,dumj+1,index)) ! dproc22 = itabcoll(dumjj+1,dumii+1,dumi,dumk+1,dumj+1,index)+(dum1-real(dumi))* & ! (itabcoll(dumjj+1,dumii+1,dumi+1,dumk+1,dumj+1,index)-itabcoll(dumjj+1, & ! dumii+1,dumi,dumk+1,dumj+1,index)) ! dproc2 = dproc12+(dum2-real(dumk))*(dproc22-dproc12) dproc2 = itabcoll(dumjj+1,dumii+1,dumi,dumj+1,index)+(dum1-real(dumi))* & (itabcoll(dumjj+1,dumii+1,dumi+1,dumj+1,index)-itabcoll(dumjj+1, & dumii+1,dumi,dumj+1,index)) gproc1 = dproc1+(dum3-real(dumj))*(dproc2-dproc1) tmp2 = iproc1+(dum4-real(dumii))*(gproc1-iproc1) ! interpolate over density to get final values proc = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) END SUBROUTINE access_lookup_table_coll !------------------------------------------------------------------------------------------! SUBROUTINE access_lookup_table_colli(dumjjc,dumiic,dumic,dumjj,dumii,dumj,dumi, & index,dum1c,dum4c,dum5c,dum1,dum4,dum5,proc) implicit none real :: dum1,dum3,dum4,dum5,dum1c,dum4c,dum5c,proc,dproc1,dproc2,iproc1,iproc2, & gproc1,gproc2,rproc1,rproc2,tmp1,tmp2,dproc11,dproc12 integer :: dumjj,dumii,dumj,dumi,index,dumjjc,dumiic,dumic ! This subroutine interpolates lookup table values for rain/ice collection processes ! current density index collectee category ! current rime fraction index for collectee category ! current density index collector category ! current rime fraction index for collector category if (index.eq.1) then dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumii,dumjj)- & itabcolli1(dumic,dumiic,dumjjc,dumi,dumii,dumjj)) dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumii,dumjj)- & itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! to be removed ! dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj)- & ! itabcolli1(dumic,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj)) ! dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj)+(dum1c-real(dumic))*& ! (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj)- & ! itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumii+1,dumjj)- & itabcolli1(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj)) dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))*& (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumii+1,dumjj)- & itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))*& ! (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj)- & ! itabcolli1(dumic,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj)) ! dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))*& ! (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)- & ! itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumii,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc,dumi,dumii,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))*& (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumii,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))*& ! (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj+1)- & ! itabcolli1(dumic,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj+1)) ! dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))*& ! (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)- & ! itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))*& (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)- & ! itabcolli1(dumic,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)) ! dproc12 = itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)- & ! itabcolli1(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc1 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) !....................................................................................................... ! collectee rime fraction + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumii,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumii,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj)- & ! itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj)) ! dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj)- & ! itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumii+1,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj)- & ! itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj)) ! dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)- & ! itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumii,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj+1)- & ! itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj+1)) ! dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)- & ! itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)- & ! itabcolli1(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)) ! dproc12 = itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)- & ! itabcolli1(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc2 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) rproc1 = gproc1+(dum4c-real(dumiic))*(gproc2-gproc1) !............................................................................................................ !............................................................................................................ ! collectee density index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumii,dumjj)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj)) dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumii,dumjj)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj)- & ! itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj)) ! dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)- & ! itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumii+1,dumjj)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj)) dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)- & ! itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)) ! dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)- & ! itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumii,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)- & ! itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)) ! dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)- & ! itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)- & ! itabcolli1(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)) ! dproc12 = itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)- & ! itabcolli1(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc1 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) !....................................................................................................... ! collectee rime fraction + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumii,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj)- & ! itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj)) ! dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)- & ! itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)- & ! itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)) ! dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)- & ! itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)- & ! itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)) ! dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)- & ! itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)- & itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)- & ! itabcolli1(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)) ! dproc12 = itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli1(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)- & ! itabcolli1(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc2 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) rproc2 = gproc1+(dum4c-real(dumiic))*(gproc2-gproc1) !.......................................................................................... ! final process rate interpolation over collectee density proc = rproc1+(dum5c-real(dumjjc))*(rproc2-rproc1) else if (index.eq.2) then dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumii,dumjj)- & itabcolli2(dumic,dumiic,dumjjc,dumi,dumii,dumjj)) dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumii,dumjj)- & itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj)- & ! itabcolli2(dumic,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj)) ! dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj)- & ! itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumii+1,dumjj)- & itabcolli2(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj)) dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumii+1,dumjj)- & itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj)- & ! itabcolli2(dumic,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj)) ! dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)- & ! itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumii,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc,dumi,dumii,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumii,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj+1)- & ! itabcolli2(dumic,dumiic,dumjjc,dumi,dumk+1,dumii,dumjj+1)) ! dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)- & ! itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumii+1,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)- & ! itabcolli2(dumic,dumiic,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)) ! dproc12 = itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)- & ! itabcolli2(dumic,dumiic,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc1 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) !....................................................................................................... ! collectee rime fraction + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumii,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumii,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj)- & ! itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj)) ! dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj)- & ! itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumii+1,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj)- & ! itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj)) ! dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)- & ! itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumii,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj+1)- & ! itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii,dumjj+1)) ! dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)- & ! itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumii+1,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)- & ! itabcolli2(dumic,dumiic+1,dumjjc,dumi,dumk+1,dumii+1,dumjj+1)) ! dproc12 = itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)- & ! itabcolli2(dumic,dumiic+1,dumjjc,dumi+1,dumk+1,dumii+1,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc2 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) rproc1 = gproc1+(dum4c-real(dumiic))*(gproc2-gproc1) !............................................................................................................ !............................................................................................................ ! collectee density index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumii,dumjj)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj)) dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumii,dumjj)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj)- & ! itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj)) ! dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)- & ! itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumii+1,dumjj)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj)) dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)- & ! itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)) ! dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)- & ! itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumii,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)- & ! itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)) ! dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)- & ! itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumii+1,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)- & ! itabcolli2(dumic,dumiic,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)) ! dproc12 = itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)- & ! itabcolli2(dumic,dumiic,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc1 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) !....................................................................................................... ! collectee rime fraction + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumii,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj)- & ! itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj)) ! dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)- & ! itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)- & ! itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj)) ! dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)- & ! itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp1 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) ! collector density index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)- & ! itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii,dumjj+1)) ! dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)- & ! itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc1 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) ! collector rime fraction index + 1 dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumii+1,dumjj+1)) dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)- & itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumii+1,dumjj+1)) ! dproc1 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) iproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! dproc11 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)- & ! itabcolli2(dumic,dumiic+1,dumjjc+1,dumi,dumk+1,dumii+1,dumjj+1)) ! dproc12 = itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)+(dum1c-real(dumic))* & ! (itabcolli2(dumic+1,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)- & ! itabcolli2(dumic,dumiic+1,dumjjc+1,dumi+1,dumk+1,dumii+1,dumjj+1)) ! dproc2 = dproc11+(dum1-real(dumi))*(dproc12-dproc11) ! iproc2 = dproc1+(dum2-real(dumk))*(dproc2-dproc1) tmp2 = iproc1+(dum4-real(dumii))*(iproc2-iproc1) gproc2 = tmp1+(dum5-real(dumjj))*(tmp2-tmp1) rproc2 = gproc1+(dum4c-real(dumiic))*(gproc2-gproc1) !.......................................................................................... ! final process rate interpolation over collectee density proc = rproc1+(dum5c-real(dumjjc))*(rproc2-rproc1) endif ! index =1 or 2 END SUBROUTINE access_lookup_table_colli !==========================================================================================! real function polysvp1(T,i_type) !------------------------------------------- ! COMPUTE SATURATION VAPOR PRESSURE ! POLYSVP1 RETURNED IN UNITS OF PA. ! T IS INPUT IN UNITS OF K. ! i_type REFERS TO SATURATION WITH RESPECT TO LIQUID (0) OR ICE (1) !------------------------------------------- implicit none real :: DUM,T integer :: i_type ! REPLACE GOFF-GRATCH WITH FASTER FORMULATION FROM FLATAU ET AL. 1992, TABLE 4 (RIGHT-HAND COLUMN) ! ice real a0i,a1i,a2i,a3i,a4i,a5i,a6i,a7i,a8i data a0i,a1i,a2i,a3i,a4i,a5i,a6i,a7i,a8i /& 6.11147274, 0.503160820, 0.188439774e-1, & 0.420895665e-3, 0.615021634e-5,0.602588177e-7, & 0.385852041e-9, 0.146898966e-11, 0.252751365e-14/ ! liquid real a0,a1,a2,a3,a4,a5,a6,a7,a8 ! V1.7 data a0,a1,a2,a3,a4,a5,a6,a7,a8 /& 6.11239921, 0.443987641, 0.142986287e-1, & 0.264847430e-3, 0.302950461e-5, 0.206739458e-7, & 0.640689451e-10,-0.952447341e-13,-0.976195544e-15/ real dt !------------------------------------------- if (i_type.EQ.1 .and. T.lt.273.15) then ! ICE ! Flatau formulation: dt = max(-80.,t-273.16) polysvp1 = a0i + dt*(a1i+dt*(a2i+dt*(a3i+dt*(a4i+dt*(a5i+dt*(a6i+dt*(a7i+ & a8i*dt))))))) polysvp1 = polysvp1*100. ! Goff-Gratch formulation: ! POLYSVP1 = 10.**(-9.09718*(273.16/T-1.)-3.56654* & ! log10(273.16/T)+0.876793*(1.-T/273.16)+ & ! log10(6.1071))*100. elseif (i_type.EQ.0 .or. T.ge.273.15) then ! LIQUID ! Flatau formulation: dt = max(-80.,t-273.16) polysvp1 = a0 + dt*(a1+dt*(a2+dt*(a3+dt*(a4+dt*(a5+dt*(a6+dt*(a7+a8*dt))))))) polysvp1 = polysvp1*100. ! Goff-Gratch formulation: ! POLYSVP1 = 10.**(-7.90298*(373.16/T-1.)+ & ! 5.02808*log10(373.16/T)- & ! 1.3816E-7*(10**(11.344*(1.-T/373.16))-1.)+ & ! 8.1328E-3*(10**(-3.49149*(373.16/T-1.))-1.)+ & ! log10(1013.246))*100. endif end function polysvp1 !------------------------------------------------------------------------------------------! real function gamma(X) !---------------------------------------------------------------------- ! THIS ROUTINE CALCULATES THE gamma FUNCTION FOR A REAL ARGUMENT X. ! COMPUTATION IS BASED ON AN ALGORITHM OUTLINED IN REFERENCE 1. ! THE PROGRAM USES RATIONAL FUNCTIONS THAT APPROXIMATE THE gamma ! FUNCTION TO AT LEAST 20 SIGNIFICANT DECIMAL DIGITS. COEFFICIENTS ! FOR THE APPROXIMATION OVER THE INTERVAL (1,2) ARE UNPUBLISHED. ! THOSE FOR THE APPROXIMATION FOR X .GE. 12 ARE FROM REFERENCE 2. ! THE ACCURACY ACHIEVED DEPENDS ON THE ARITHMETIC SYSTEM, THE ! COMPILER, THE INTRINSIC FUNCTIONS, AND PROPER SELECTION OF THE ! MACHINE-DEPENDENT CONSTANTS. !---------------------------------------------------------------------- ! ! EXPLANATION OF MACHINE-DEPENDENT CONSTANTS ! ! BETA - RADIX FOR THE FLOATING-POINT REPRESENTATION ! MAXEXP - THE SMALLEST POSITIVE POWER OF BETA THAT OVERFLOWS ! XBIG - THE LARGEST ARGUMENT FOR WHICH gamma(X) IS REPRESENTABLE ! IN THE MACHINE, I.E., THE SOLUTION TO THE EQUATION ! gamma(XBIG) = BETA**MAXEXP ! XINF - THE LARGEST MACHINE REPRESENTABLE FLOATING-POINT NUMBER; ! APPROXIMATELY BETA**MAXEXP ! EPS - THE SMALLEST POSITIVE FLOATING-POINT NUMBER SUCH THAT ! 1.0+EPS .GT. 1.0 ! XMININ - THE SMALLEST POSITIVE FLOATING-POINT NUMBER SUCH THAT ! 1/XMININ IS MACHINE REPRESENTABLE ! ! APPROXIMATE VALUES FOR SOME IMPORTANT MACHINES ARE: ! ! BETA MAXEXP XBIG ! ! CRAY-1 (S.P.) 2 8191 966.961 ! CYBER 180/855 ! UNDER NOS (S.P.) 2 1070 177.803 ! IEEE (IBM/XT, ! SUN, ETC.) (S.P.) 2 128 35.040 ! IEEE (IBM/XT, ! SUN, ETC.) (D.P.) 2 1024 171.624 ! IBM 3033 (D.P.) 16 63 57.574 ! VAX D-FORMAT (D.P.) 2 127 34.844 ! VAX G-FORMAT (D.P.) 2 1023 171.489 ! ! XINF EPS XMININ ! ! CRAY-1 (S.P.) 5.45E+2465 7.11E-15 1.84E-2466 ! CYBER 180/855 ! UNDER NOS (S.P.) 1.26E+322 3.55E-15 3.14E-294 ! IEEE (IBM/XT, ! SUN, ETC.) (S.P.) 3.40E+38 1.19E-7 1.18E-38 ! IEEE (IBM/XT, ! SUN, ETC.) (D.P.) 1.79D+308 2.22D-16 2.23D-308 ! IBM 3033 (D.P.) 7.23D+75 2.22D-16 1.39D-76 ! VAX D-FORMAT (D.P.) 1.70D+38 1.39D-17 5.88D-39 ! VAX G-FORMAT (D.P.) 8.98D+307 1.11D-16 1.12D-308 ! !---------------------------------------------------------------------- ! ! ERROR RETURNS ! ! THE PROGRAM RETURNS THE VALUE XINF FOR SINGULARITIES OR ! WHEN OVERFLOW WOULD OCCUR. THE COMPUTATION IS BELIEVED ! TO BE FREE OF UNDERFLOW AND OVERFLOW. ! ! ! INTRINSIC FUNCTIONS REQUIRED ARE: ! ! INT, DBLE, EXP, log, REAL, SIN ! ! ! REFERENCES: AN OVERVIEW OF SOFTWARE DEVELOPMENT FOR SPECIAL ! FUNCTIONS W. J. CODY, LECTURE NOTES IN MATHEMATICS, ! 506, NUMERICAL ANALYSIS DUNDEE, 1975, G. A. WATSON ! (ED.), SPRINGER VERLAG, BERLIN, 1976. ! ! COMPUTER APPROXIMATIONS, HART, ET. AL., WILEY AND ! SONS, NEW YORK, 1968. ! ! LATEST MODIFICATION: OCTOBER 12, 1989 ! ! AUTHORS: W. J. CODY AND L. STOLTZ ! APPLIED MATHEMATICS DIVISION ! ARGONNE NATIONAL LABORATORY ! ARGONNE, IL 60439 ! !---------------------------------------------------------------------- implicit none integer :: I,N logical :: l_parity real :: & CONV,EPS,FACT,HALF,ONE,res,sum,TWELVE, & TWO,X,XBIG,XDEN,XINF,XMININ,XNUM,Y,Y1,YSQ,Z,ZERO real, dimension(7) :: C real, dimension(8) :: P real, dimension(8) :: Q real, parameter :: constant1 = 0.9189385332046727417803297 !---------------------------------------------------------------------- ! MATHEMATICAL CONSTANTS !---------------------------------------------------------------------- data ONE,HALF,TWELVE,TWO,ZERO/1.0E0,0.5E0,12.0E0,2.0E0,0.0E0/ !---------------------------------------------------------------------- ! MACHINE DEPENDENT PARAMETERS !---------------------------------------------------------------------- data XBIG,XMININ,EPS/35.040E0,1.18E-38,1.19E-7/,XINF/3.4E38/ !---------------------------------------------------------------------- ! NUMERATOR AND DENOMINATOR COEFFICIENTS FOR RATIONAL MINIMAX ! APPROXIMATION OVER (1,2). !---------------------------------------------------------------------- data P/-1.71618513886549492533811E+0,2.47656508055759199108314E+1, & -3.79804256470945635097577E+2,6.29331155312818442661052E+2, & 8.66966202790413211295064E+2,-3.14512729688483675254357E+4, & -3.61444134186911729807069E+4,6.64561438202405440627855E+4/ data Q/-3.08402300119738975254353E+1,3.15350626979604161529144E+2, & -1.01515636749021914166146E+3,-3.10777167157231109440444E+3, & 2.25381184209801510330112E+4,4.75584627752788110767815E+3, & -1.34659959864969306392456E+5,-1.15132259675553483497211E+5/ !---------------------------------------------------------------------- ! COEFFICIENTS FOR MINIMAX APPROXIMATION OVER (12, INF). !---------------------------------------------------------------------- data C/-1.910444077728E-03,8.4171387781295E-04, & -5.952379913043012E-04,7.93650793500350248E-04, & -2.777777777777681622553E-03,8.333333333333333331554247E-02, & 5.7083835261E-03/ !---------------------------------------------------------------------- ! STATEMENT FUNCTIONS FOR CONVERSION BETWEEN INTEGER AND FLOAT !---------------------------------------------------------------------- CONV(I) = REAL(I) l_parity=.FALSE. FACT=ONE N=0 Y=X if (Y.LE.ZERO) then !---------------------------------------------------------------------- ! ARGUMENT IS NEGATIVE !---------------------------------------------------------------------- Y=-X Y1=AINT(Y) res=Y-Y1 if (res.NE.ZERO) then if(Y1.NE.AINT(Y1*HALF)*TWO)l_parity=.TRUE. FACT=-PI/SIN(PI*res) Y=Y+ONE else res=XINF goto 900 endif endif !---------------------------------------------------------------------- ! ARGUMENT IS POSITIVE !---------------------------------------------------------------------- if (Y.LT.EPS) then !---------------------------------------------------------------------- ! ARGUMENT .LT. EPS !---------------------------------------------------------------------- if (Y.GE.XMININ) then res=ONE/Y else res=XINF goto 900 endif elseif (Y.LT.TWELVE) then Y1=Y if (Y.LT.ONE) then !---------------------------------------------------------------------- ! 0.0 .LT. ARGUMENT .LT. 1.0 !---------------------------------------------------------------------- Z=Y Y=Y+ONE else !---------------------------------------------------------------------- ! 1.0 .LT. ARGUMENT .LT. 12.0, REDUCE ARGUMENT IF NECESSARY !---------------------------------------------------------------------- N=INT(Y)-1 Y=Y-CONV(N) Z=Y-ONE endif !---------------------------------------------------------------------- ! EVALUATE APPROXIMATION FOR 1.0 .LT. ARGUMENT .LT. 2.0 !---------------------------------------------------------------------- XNUM=ZERO XDEN=ONE do I=1,8 XNUM=(XNUM+P(I))*Z XDEN=XDEN*Z+Q(I) enddo res=XNUM/XDEN+ONE if (Y1.LT.Y) then !---------------------------------------------------------------------- ! ADJUST RESULT FOR CASE 0.0 .LT. ARGUMENT .LT. 1.0 !---------------------------------------------------------------------- res=res/Y1 elseif (Y1.GT.Y) then !---------------------------------------------------------------------- ! ADJUST RESULT FOR CASE 2.0 .LT. ARGUMENT .LT. 12.0 !---------------------------------------------------------------------- do I=1,N res=res*Y Y=Y+ONE enddo endif else !---------------------------------------------------------------------- ! EVALUATE FOR ARGUMENT .GE. 12.0, !---------------------------------------------------------------------- if (Y.LE.XBIG) then YSQ=Y*Y sum=C(7) do I=1,6 sum=sum/YSQ+C(I) enddo sum=sum/Y-Y+constant1 sum=sum+(Y-HALF)*log(Y) res=exp(sum) else res=XINF goto 900 endif endif !---------------------------------------------------------------------- ! FINAL ADJUSTMENTS AND RETURN !---------------------------------------------------------------------- if (l_parity)res=-res if (FACT.NE.ONE)res=FACT/res 900 gamma=res return ! ---------- LAST LINE OF gamma ---------- end function gamma !------------------------------------------------------------------------------------------! real function DERF(X) implicit none real :: X real, dimension(0 : 64) :: A, B real :: W,T,Y integer :: K,I data A/ & 0.00000000005958930743E0, -0.00000000113739022964E0, & 0.00000001466005199839E0, -0.00000016350354461960E0, & 0.00000164610044809620E0, -0.00001492559551950604E0, & 0.00012055331122299265E0, -0.00085483269811296660E0, & 0.00522397762482322257E0, -0.02686617064507733420E0, & 0.11283791670954881569E0, -0.37612638903183748117E0, & 1.12837916709551257377E0, & 0.00000000002372510631E0, -0.00000000045493253732E0, & 0.00000000590362766598E0, -0.00000006642090827576E0, & 0.00000067595634268133E0, -0.00000621188515924000E0, & 0.00005103883009709690E0, -0.00037015410692956173E0, & 0.00233307631218880978E0, -0.01254988477182192210E0, & 0.05657061146827041994E0, -0.21379664776456006580E0, & 0.84270079294971486929E0, & 0.00000000000949905026E0, -0.00000000018310229805E0, & 0.00000000239463074000E0, -0.00000002721444369609E0, & 0.00000028045522331686E0, -0.00000261830022482897E0, & 0.00002195455056768781E0, -0.00016358986921372656E0, & 0.00107052153564110318E0, -0.00608284718113590151E0, & 0.02986978465246258244E0, -0.13055593046562267625E0, & 0.67493323603965504676E0, & 0.00000000000382722073E0, -0.00000000007421598602E0, & 0.00000000097930574080E0, -0.00000001126008898854E0, & 0.00000011775134830784E0, -0.00000111992758382650E0, & 0.00000962023443095201E0, -0.00007404402135070773E0, & 0.00050689993654144881E0, -0.00307553051439272889E0, & 0.01668977892553165586E0, -0.08548534594781312114E0, & 0.56909076642393639985E0, & 0.00000000000155296588E0, -0.00000000003032205868E0, & 0.00000000040424830707E0, -0.00000000471135111493E0, & 0.00000005011915876293E0, -0.00000048722516178974E0, & 0.00000430683284629395E0, -0.00003445026145385764E0, & 0.00024879276133931664E0, -0.00162940941748079288E0, & 0.00988786373932350462E0, -0.05962426839442303805E0, & 0.49766113250947636708E0 / data (B(I), I = 0, 12) / & -0.00000000029734388465E0, 0.00000000269776334046E0, & -0.00000000640788827665E0, -0.00000001667820132100E0, & -0.00000021854388148686E0, 0.00000266246030457984E0, & 0.00001612722157047886E0, -0.00025616361025506629E0, & 0.00015380842432375365E0, 0.00815533022524927908E0, & -0.01402283663896319337E0, -0.19746892495383021487E0, & 0.71511720328842845913E0 / data (B(I), I = 13, 25) / & -0.00000000001951073787E0, -0.00000000032302692214E0, & 0.00000000522461866919E0, 0.00000000342940918551E0, & -0.00000035772874310272E0, 0.00000019999935792654E0, & 0.00002687044575042908E0, -0.00011843240273775776E0, & -0.00080991728956032271E0, 0.00661062970502241174E0, & 0.00909530922354827295E0, -0.20160072778491013140E0, & 0.51169696718727644908E0 / data (B(I), I = 26, 38) / & 0.00000000003147682272E0, -0.00000000048465972408E0, & 0.00000000063675740242E0, 0.00000003377623323271E0, & -0.00000015451139637086E0, -0.00000203340624738438E0, & 0.00001947204525295057E0, 0.00002854147231653228E0, & -0.00101565063152200272E0, 0.00271187003520095655E0, & 0.02328095035422810727E0, -0.16725021123116877197E0, & 0.32490054966649436974E0 / data (B(I), I = 39, 51) / & 0.00000000002319363370E0, -0.00000000006303206648E0, & -0.00000000264888267434E0, 0.00000002050708040581E0, & 0.00000011371857327578E0, -0.00000211211337219663E0, & 0.00000368797328322935E0, 0.00009823686253424796E0, & -0.00065860243990455368E0, -0.00075285814895230877E0, & 0.02585434424202960464E0, -0.11637092784486193258E0, & 0.18267336775296612024E0 / data (B(I), I = 52, 64) / & -0.00000000000367789363E0, 0.00000000020876046746E0, & -0.00000000193319027226E0, -0.00000000435953392472E0, & 0.00000018006992266137E0, -0.00000078441223763969E0, & -0.00000675407647949153E0, 0.00008428418334440096E0, & -0.00017604388937031815E0, -0.00239729611435071610E0, & 0.02064129023876022970E0, -0.06905562880005864105E0, & 0.09084526782065478489E0 / W = ABS(X) if (W .LT. 2.2D0) then T = W * W K = INT(T) T = T - K K = K * 13 Y = ((((((((((((A(K) * T + A(K + 1)) * T + & A(K + 2)) * T + A(K + 3)) * T + A(K + 4)) * T + & A(K + 5)) * T + A(K + 6)) * T + A(K + 7)) * T + & A(K + 8)) * T + A(K + 9)) * T + A(K + 10)) * T + & A(K + 11)) * T + A(K + 12)) * W elseif (W .LT. 6.9D0) then K = INT(W) T = W - K K = 13 * (K - 2) Y = (((((((((((B(K) * T + B(K + 1)) * T + & B(K + 2)) * T + B(K + 3)) * T + B(K + 4)) * T + & B(K + 5)) * T + B(K + 6)) * T + B(K + 7)) * T + & B(K + 8)) * T + B(K + 9)) * T + B(K + 10)) * T + & B(K + 11)) * T + B(K + 12) Y = Y * Y Y = Y * Y Y = Y * Y Y = 1 - Y * Y else Y = 1 endif if (X .LT. 0) Y = -Y DERF = Y end function DERF !------------------------------------------------------------------------------------------! logical function isnan(arg1) real,intent(in) :: arg1 isnan=( arg1 .ne. arg1 ) return end function isnan !------------------------------------------------------------------------------------------! !==========================================================================================! subroutine icecat_destination(Qi,Di,D_nuc,deltaD_init,log_ni_add,iice_dest) !--------------------------------------------------------------------------------------! ! Returns the index of the destination ice category into which new ice is nucleated. ! ! New ice will be nucleated into the category in which the existing ice is ! closest in size to the ice being nucleated. The exception is that if the ! size difference between the nucleated ice and existing ice exceeds a threshold ! value for all categories, then ice is initiated into a new category. ! ! D_nuc = mean diameter of new particles being added to a category ! D(i) = mean diameter of particles in category i ! diff(i) = |D(i) - D_nuc| ! deltaD_init = threshold size difference to consider a new (empty) category ! mindiff = minimum of all diff(i) (for non-empty categories) ! ! POSSIBLE CASES DESTINATION CATEGORY !--------------- -------------------- ! case 1: all empty category 1 ! case 2: all full category with smallest diff ! case 3: partly full ! case 3a: mindiff < diff_thrs category with smallest diff ! case 3b: mindiff >= diff_thrs first empty category !--------------------------------------------------------------------------------------! implicit none ! arguments: real, intent(in), dimension(:) :: Qi,Di real, intent(in) :: D_nuc,deltaD_init integer, intent(out) :: iice_dest logical, intent(out) :: log_ni_add ! local variables: logical :: all_full,all_empty integer :: i_firstEmptyCategory,iice,i_mindiff,n_cat real :: mindiff,diff real, parameter :: qsmall_loc = 1.e-14 !--------------------------------------------------------------------------------------! n_cat = size(Qi) log_ni_add = .true. iice_dest = -99 !-- test: ! iice_dest = 1 ! return !== if (sum(Qi(:))