#include "wwm_functions.h" !/ ------------------------------------------------------------------- / MODULE W3SRC4MD !/ !/ +-----------------------------------+ !/ | WAVEWATCH III SHOM | !/ ! F. Ardhuin ! !/ | FORTRAN 90 | !/ | Last update : 13-Nov-2013 | !/ +-----------------------------------+ !/ !/ 30-Aug-2010 : Origination. ( version 3.14-Ifremer ) !/ 02-Nov-2010 : Addding fudge factor for low freq. ( version 4.03 ) !/ 02-Sep-2011 : Clean up and time optimization ( version 4.04 ) !/ 04-Sep-2011 : Estimation of whitecap stats. ( version 4.04 ) !/ ! 1. Purpose : ! ! The 'SHOM/Ifremer' source terms based on P.A.E.M. Janssen's wind input ! and dissipation functions by Ardhuin et al. (2009,2010) ! and Filipot & Ardhuin (2010) ! The wind input is converted from the original ! WAM codes, courtesy of P.A.E.M. Janssen and J. Bidlot ! ! ! 2. Variables and types : ! ! Name Type Scope Description ! ---------------------------------------------------------------- ! ---------------------------------------------------------------- ! ! 3. Subroutines and functions : ! ! Name Type Scope Description ! ---------------------------------------------------------------- ! W3SPR4 Subr. Public Mean parameters from spectrum. ! W3SIN4 Subr. Public WAM4+ input source term. ! INSIN4 Subr. Public Corresponding initialization routine. ! TABU_STRESS, TABU_TAUHF, TABU_TAUHF2 ! Subr. Public Populate various tables. ! CALC_USTAR ! Subr. Public Compute stresses. ! W3SDS4 Subr. Public Dissipation (Ardhuin & al. / Filipot & Ardhuin) ! ---------------------------------------------------------------- ! ! 4. Subroutines and functions used : ! ! Name Type Module Description ! ---------------------------------------------------------------- ! ---------------------------------------------------------------- ! ! 5. Remarks : ! ! 6. Switches : ! ! 7. Source code : !/ !/ ------------------------------------------------------------------- / !/ USE DATAPOOL, ONLY : rkind SAVE PUBLIC !/ !/ Public variables !/ INTEGER, PARAMETER :: NHMAX = 25 INTEGER(KIND=4) :: NH(3), THO(2,3,NHMAX) REAL(rkind) :: HA(NHMAX,3), HD(NHMAX,3), HA2(NHMAX,3) REAL(rkind), PARAMETER :: kappa = 0.40 !Von Karman's constant !air kinematic viscosity (used in WAM) REAL(rkind), PARAMETER :: nu_air = 1.4E-5 INTEGER, PARAMETER :: ITAUMAX=200,JUMAX=200 INTEGER, PARAMETER :: IUSTAR=100,IALPHA=200, ILEVTAIL=50 INTEGER, PARAMETER :: SIZEFWTABLE=300 INTEGER, PARAMETER :: IAB=200 REAL(rkind) :: TAUT(0:ITAUMAX,0:JUMAX), DELTAUW, DELU ! Table for H.F. stress as a function of 2 variables REAL(rkind) :: TAUHFT(0:IUSTAR,0:IALPHA), DELUST, DELALP ! Table for H.F. stress as a function of 3 variables REAL(rkind) :: TAUHFT2(0:IUSTAR,0:IALPHA,0:ILEVTAIL) ! Table for swell damping REAL(rkind) :: SWELLFT(0:IAB) REAL(rkind) :: DELTAIL REAL(rkind) :: DELAB REAL(rkind), PARAMETER :: UMAX = 50._rkind REAL(rkind), PARAMETER :: TAUWMAX = 2.2361 !SQRT(5.) REAL(rkind), PARAMETER :: ABMIN = 0.3_rkind REAL(rkind), PARAMETER :: ABMAX = 8._rkind REAL(rkind) :: FWTABLE(0:SIZEFWTABLE) REAL(rkind), ALLOCATABLE :: XSTRESS(:),YSTRESS(:) REAL(rkind), ALLOCATABLE :: DCKI(:,:), SATWEIGHTS(:,:) REAL(rkind), ALLOCATABLE :: CUMULW(:,:),QBI(:,:) INTEGER :: DIKCUMUL ! table and variable for wave breaking dissipation term INTEGER, PARAMETER :: NDTAB=2000 ! Max depth: convolution calculation in W3SDS4 INTEGER, PARAMETER :: NKHS=2000, NKD=1300, NKHI=100 REAL(rkind), PARAMETER :: PI=3.14157, G=9.81 REAL(rkind), PARAMETER :: FAC_KD1=1.01, FAC_KD2=1000._rkind REAL(rkind), PARAMETER :: KHSMAX=2., KHMAX=2. REAL(rkind), PARAMETER ::KDMAX=200000._rkind ! variables for negative wind input (beta from ST2) ! INTEGER, PARAMETER, PRIVATE :: NRSIGA = 400 INTEGER, PARAMETER, PRIVATE :: NRDRAG = 20 REAL(rkind), PARAMETER, PRIVATE :: SIGAMX = 40._rkind REAL(rkind), PARAMETER, PRIVATE :: DRAGMX = 1.E-2 ! REAL(rkind), PRIVATE :: DSIGA, DDRAG, & & BETATB(-NRSIGA:NRSIGA+1,NRDRAG+1) !/ LOGICAL, PRIVATE :: FIRST = .TRUE. ! ! WWM FIELD INSERT ... ! LOGICAL :: FLICES = .FALSE. REAL(rkind) :: TTAUWSHELTER = 1. REAL(rkind) :: ZZ0RAT = 0.04_rkind REAL(rkind) :: SSINTHP = 2. INTEGER :: NK, MK, NTH, MTH, MSPEC INTEGER, ALLOCATABLE :: IKTAB(:,:) INTEGER, ALLOCATABLE :: SATINDICES(:,:) LOGICAL, ALLOCATABLE :: LLWS(:) REAL(rkind) :: SSDSC(1:9) REAL(rkind), ALLOCATABLE :: SIG(:), SIG2(:), DDEN(:) REAL(rkind), ALLOCATABLE :: DDEN2(:), DSII(:) REAL(rkind), ALLOCATABLE :: DSIP(:), TH(:), ESIN(:) REAL(rkind), ALLOCATABLE :: ECOS(:), EC2(:), ES2(:), ESC(:) REAL(rkind) :: ZZWND, AALPHA, BBETA, ZZALP REAL(rkind) :: DTH, FACHF, SXFR, XFR, FACHFE REAL(rkind) :: WNMEANP, WNMEANPTAIL REAL(rkind) :: FTE, FTF REAL(rkind) :: STXFTF, STXFTWN, STXFTFTAIL REAL(rkind) :: SSTXFTF, SSTXFTWN, SSTXFTFTAIL REAL(rkind) :: SSWELLF(7) ,SSWELLFPAR REAL(rkind) :: SWELLFPAR, SSDSTH REAL(rkind) :: SSDSDTH, SSDSCOS, SSDSHCK INTEGER :: SDSNTH ! This is wrongly globally defined ... REAL(rkind) :: SSDSBCK, SSDSBINT, SSDSPBK, SSDSABK REAL(rkind) :: SSDSC1, SSDSC2, SSDSC3, SSDSC4 REAL(rkind) :: SSDSC5, SSDSC6, SSDSCUM REAL(rkind) :: SSDSBR, SSDSBRF1, SSDSBRF2 REAL(rkind) :: SSDSBR2, WHITECAPWIDTH REAL(rkind) :: SSDSP INTEGER :: SSDSISO, SSDSBRFDF REAL(rkind) :: SSDSBM(0:4) REAL(rkind) :: ZZ0MAX LOGICAL :: LFIRSTSOURCE = .TRUE. !/ CONTAINS !/ ------------------------------------------------------------------- / SUBROUTINE PREPARE_ARDHUIN USE DATAPOOL IMPLICIT NONE INTEGER :: IK, ISP, ITH, ITH0 REAL(rkind) :: SIGMA, FR1, RTH0 NK = MSC MK = NK ! ? NTH = MDC MTH = NTH ! ? MSPEC = NSPEC ALLOCATE(SIG(0:MSC+1), SIG2(NSPEC), DSIP(0:MSC+1), TH(MDC), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 1') SIG = ZERO SIG2 = ZERO DSIP = ZERO TH = ZERO ALLOCATE(ESIN(MSPEC+MTH), ECOS(MSPEC+MTH), EC2(MSPEC+MTH), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 2') ESIN = ZERO ECOS = ZERO EC2 = ZERO ALLOCATE(ES2(MSPEC+MTH),ESC(MSPEC+MTH), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 3') ES2 = ZERO ESC = ZERO ALLOCATE(DSII(MSC), DDEN(MSC), DDEN2(NSPEC), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 4') DSII = ZERO DDEN = ZERO DDEN2 = ZERO DTH = DDIR FR1 = SPSIG(1)/PI2 TH = SPDIR RTH0 = ZERO DO ITH=1, NTH TH (ITH) = DTH * ( RTH0 + MyREAL(ITH-1) ) ESIN(ITH) = SIN ( TH(ITH) ) ECOS(ITH) = COS ( TH(ITH) ) IF ( ABS(ESIN(ITH)) .LT. 1.E-5 ) THEN ESIN(ITH) = ZERO IF ( ECOS(ITH) .GT. 0.5_rkind ) THEN ECOS(ITH) = 1._rkind ELSE ECOS(ITH) = -1._rkind END IF END IF IF ( ABS(ECOS(ITH)) .LT. 1.E-5 ) THEN ECOS(ITH) = ZERO IF ( ESIN(ITH) .GT. 0.5_rkind ) THEN ESIN(ITH) = 1. ELSE ESIN(ITH) = -1. END IF END IF ES2 (ITH) = ESIN(ITH)**2 EC2 (ITH) = ECOS(ITH)**2 ESC (ITH) = ESIN(ITH)*ECOS(ITH) END DO ! DO IK=2, NK+1 ITH0 = (IK-1)*NTH DO ITH=1, NTH ESIN(ITH0+ITH) = ESIN(ITH) ECOS(ITH0+ITH) = ECOS(ITH) ES2 (ITH0+ITH) = ES2 (ITH) EC2 (ITH0+ITH) = EC2 (ITH) ESC (ITH0+ITH) = ESC (ITH) END DO END DO ! WRITE(5001,*) 'DTH' ! WRITE(5001,*) DTH ! WRITE(5001,*) 'FR1' ! WRITE(5001,*) FR1 ! WRITE(5001,*) 'TH' ! WRITE(5001,*) TH ! WRITE(5001,*) 'ESIN, ECOS, EC2' ! WRITE(5001,*) ESIN, ECOS, EC2 WNMEANP = 0.5_rkind WNMEANPTAIL = -0.5_rkind ! WRITE(5001,*) 'WNMEANP, WNMEANPTAIL' ! WRITE(5001,*) WNMEANP, WNMEANPTAIL XFR = EXP(FRINTF) ! Check with Fabrice ... should be 1.1 SIGMA = FR1 * TPI / XFR**2 ! What is going on here ? SXFR = 0.5_rkind * (XFR-1./XFR) ! WRITE(5001,*) 'XFR, SIGMA, SXFR' ! WRITE(5001,*) XFR, SIGMA, SXFR DO IK=0, NK+1 SIGMA = SIGMA * XFR ! What is going on here ... SIG (IK) = SIGMA DSIP(IK) = SIGMA * SXFR END DO ! WRITE(5001,*) 'SIGMA' ! WRITE(5001,*) SIGMA ! WRITE(5001,*) 'SIG' ! WRITE(5001,*) SIG ! WRITE(5001,*) 'DSIP' ! WRITE(5001,*) DSIP DSII(1) = 0.5_rkind * SIG( 1) * (XFR-1.) DO IK = 2, NK - 1 DSII(IK) = DSIP(IK) END DO DSII(NK) = 0.5_rkind * SIG(NK) * (XFR-1.) / XFR DO IK=1, NK DDEN(IK) = DTH * DSII(IK) * SIG(IK) END DO DO ISP=1, NSPEC IK = 1 + (ISP-1)/NTH SIG2 (ISP) = SIG (IK) DDEN2(ISP) = DDEN(IK) END DO ! WRITE(5001,*) 'SIG2' ! WRITE(5001,*) SIG2 ! WRITE(5001,*) 'DSII' ! WRITE(5001,*) DSII ! WRITE(5001,*) 'DDEN' ! WRITE(5001,*) DDEN ! WRITE(5001,*) 'DDEN2' ! WRITE(5001,*) DDEN2 FTE = 0.25_rkind * SIG(NK) * DTH * SIG(NK) FTF = 0.20_rkind * DTH * SIG(NK) FACHF = 5. FACHFE = XFR**(-FACHF) STXFTFTAIL = 1./(FACHF-1.-WNMEANPTAIL*2) STXFTF = 1./(FACHF-1.-WNMEANP*2) STXFTWN = 1./(FACHF-1.-WNMEANP*2) * SIG(NK)**(2) ! WRITE(5001,*) 'FTE, FTF, FACHF, FACHFE' ! WRITE(5001,*) FTE, FTF, FACHF, FACHFE SSWELLF(1) = 0.8_rkind SSWELLF(2) = -0.018_rkind SSWELLF(3) = 0.015_rkind SSWELLF(4) = 1.E5 SSWELLF(5) = 1.2 SSWELLF(6) = 0._rkind SSWELLF(7) = 0._rkind ! WRITE(5001,*) 'SSWELLF' ! WRITE(5001,*) SSWELLF AALPHA = 0.0095_rkind BBETA = 1.54_rkind ! 1.54 for ECMWF ZZALP = 0.006_rkind ZZWND = 10._rkind SWELLFPAR = 1 SSDSBRF1 = 0.5_rkind SSDSHCK = 1._rkind SSDSBCK = 0._rkind SSDSBINT = 0.3_rkind SSDSPBK = 4._rkind SSDSABK = 1.5_rkind SSDSBR = 9.E-4_rkind SSDSBRFDF = 0 SSDSBRF1 = 0.5_rkind SSDSBRF2 = 0._rkind SSDSBR2 = 0.8_rkind SSDSP = 2. SSDSPBK = 4. SSDSISO = 2 SSDSBM(0) = 1. SSDSBM(1) = 02428._rkind SSDSBM(2) = 1.995_rkind SSDSBM(3) = -2.5709_rkind SSDSBM(4) = 1.3286_rkind ZZ0MAX = 0.002_rkind SSINTHP = 2.0_rkind SSWELLFPAR = 3 TTAUWSHELTER = 1.0_rkind ZZ0RAT = 0.04_rkind SSDSC1 = 0._rkind SSDSC2 = -2.2E-5_rkind ! AR: was originally 2.2 !SSDSC3 = -0.80_rkind ! overwritten by SSDSCUM SSDSC4 = 1._rkind SSDSC5 = 0._rkind SSDSC6 = 0.30_rkind WHITECAPWIDTH = 0.8_rkind SSDSCUM = -0.40344_rkind SSDSDTH = 80._rkind ! not used ... SSDSCOS = 2._rkind SSDSISO = 2 !AR: changes to isotropic breaking ... SSDSC(1) = SSDSC1 SSDSC(2) = SSDSC2 SSDSC(3) = SSDSCUM SSDSC(4) = SSDSC4 SSDSC(5) = SSDSC5 SSDSC(6) = SSDSC6 SSDSC(7) = WHITECAPWIDTH SDSNTH = MIN(NINT(SSDSDTH/(DTH*RADDEG)),NTH/2-1) DELAB = (ABMAX-ABMIN)/MyREAL(SIZEFWTABLE) ALLOCATE(IKTAB(MK,NDTAB), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 5') IKTAB = 0 ALLOCATE(SATINDICES(2*SDSNTH+1,MTH), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 6') SATINDICES = 0 ALLOCATE(SATWEIGHTS(2*SDSNTH+1,MTH), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 7') SATWEIGHTS = 0._rkind ALLOCATE(CUMULW(MK*MTH,MK*MTH), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 8') CUMULW = 0._rkind ALLOCATE(DCKI(NKHS,NKD), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 9') DCKI = 0._rkind ALLOCATE(LLWS(NSPEC), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 10') LLWS = .FALSE. ALLOCATE(QBI(NKHS,NKD), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 11') QBI = 0._rkind TAUWX = ZERO; TAUWY = ZERO; CD = ZERO; Z0 = ZERO; USTDIR = ZERO INQUIRE(FILE='fort.5002',EXIST=LPRECOMP_EXIST) IF (.NOT. LPRECOMP_EXIST) THEN CALL INSIN4(.TRUE.) ELSE CALL READ_INSIN4 END IF END SUBROUTINE !********************************************************************** !* * !********************************************************************** SUBROUTINE READ_INSIN4 USE DATAPOOL, ONLY : LPRECOMP_EXIST, DBG, MSC, MDC IMPLICIT NONE INTEGER :: MSC_TEST, MDC_TEST, ISTAT IF (LPRECOMP_EXIST) THEN READ (5002, IOSTAT=ISTAT) & & MSC_TEST, MDC_TEST, & & ZZWND, AALPHA, ZZ0MAX, BBETA, SSINTHP, ZZALP, & & TTAUWSHELTER, SSWELLFPAR, SSWELLF, & & ZZ0RAT, SSDSC1, SSDSC2, SSDSC3, SSDSC4, SSDSC5, & & SSDSC6, SSDSISO, SSDSBR, SSDSBR2, SSDSBM, SSDSP, & & SSDSCOS, SSDSDTH, SSTXFTF, & & SSTXFTFTAIL, SSTXFTWN, SSTXFTF, SSTXFTWN, & & SSDSBRF1, SSDSBRF2, SSDSBRFDF,SSDSBCK, SSDSABK, & & SSDSPBK, SSDSBINT, & & SSDSHCK, DELUST, DELTAIL, DELTAUW, & & DELU, DELALP, DELAB, TAUT, TAUHFT, TAUHFT2, & & SWELLFT, IKTAB, DCKI, SATINDICES, SATWEIGHTS, & & DIKCUMUL, CUMULW, QBI IF (ISTAT /= 0) CALL WWM_ABORT('Remove fort.5002 Error while trying to read precomputed array') IF (MSC_TEST .NE. MSC .OR. MDC_TEST .NE. MDC) THEN WRITE(DBG%FHNDL,*) 'MSC AND MDC READ FROM FILE AND SET IN WWMINPUT.NML ARE NOT EQUAL -STOP-' WRITE(DBG%FHNDL,*) MSC_TEST, MSC WRITE(DBG%FHNDL,*) MDC_TEST, MDC CALL WWM_ABORT('THE fort.5002 file does not match your specifications. Remove and rerun') ENDIF END IF END SUBROUTINE !********************************************************************** !* * !********************************************************************** SUBROUTINE W3SPR4 (A, CG, WN, EMEAN, FMEAN, FMEAN1, WNMEAN, AMAX, U, UDIR, USTAR, USDIR, TAUWX, TAUWY, CD, Z0, CHARN, LLWS, FMEANWS) !/ !/ +-----------------------------------+ !/ | WAVEWATCH III SHOM | !/ ! F. Ardhuin ! !/ | H. L. Tolman | !/ | FORTRAN 90 | !/ | Last update : 13-Jun-2011 | !/ +-----------------------------------+ !/ !/ 03-Oct-2007 : Origination. ( version 3.13 ) !/ 13-Jun-2011 : Adds f_m0,-1 as FMEAN in the outout ( version 4.xx ) !/ ! 1. Purpose : ! ! Calculate mean wave parameters for the use in the source term ! routines. ! ! 2. Method : ! ! See source term routines. ! ! 3. Parameters : ! ! Parameter list ! ---------------------------------------------------------------- ! A R.A. I Action density spectrum. ! CG R.A. I Group velocities. ! WN R.A. I Wavenumbers. ! EMEAN Real O Energy ! FMEAN1 Real O Mean frequency (fm0,-1) used for reflection ! FMEAN Real O Mean frequency for determination of tail ! WNMEAN Real O Mean wavenumber. ! AMAX Real O Maximum of action spectrum. ! U Real I Wind speed. ! UDIR Real I Wind direction. ! USTAR Real I/O Friction velocity. ! USDIR Real I/O wind stress direction. ! TAUWX-Y Real I Components of wave-supported stress. ! CD Real O Drag coefficient at wind level ZWND. ! Z0 Real O Corresponding z0. ! CHARN Real O Corresponding Charnock coefficient ! LLWS L.A. I Wind sea true/false array for each component ! FMEANWS Real O Mean frequency of wind sea, used for tail ! ---------------------------------------------------------------- ! ! 4. Subroutines used : ! ! STRACE Service routine. ! ! 5. Called by : ! ! W3SRCE Source term integration routine. ! W3OUTP Point output program. ! GXEXPO GrADS point output program. ! ! 6. Error messages : ! ! 7. Remarks : ! ! 8. Structure : ! ! See source code. ! ! 9. Switches : ! ! !/S Enable subroutine tracing. ! !/T Enable test output. ! ! 10. Source code : ! !/ ------------------------------------------------------------------- / USE DATAPOOL, ONLY: SPSIG, INVPI2, PI2, RKIND, NSPEC USE DATAPOOL, ONLY: ZERO, ONE !/T USE W3ODATMD, ONLY: NDST ! IMPLICIT NONE !/ !/ ------------------------------------------------------------------- / !/ Parameter list !/ REAL(rkind), INTENT(IN) :: A(NTH,NK), CG(NK), WN(NK) REAL(rkind), INTENT(IN) :: TAUWX, TAUWY, U, UDIR LOGICAL, INTENT(IN) :: LLWS(NSPEC) REAL(rkind), INTENT(INOUT) :: USTAR ,USDIR REAL(rkind), INTENT(OUT) :: EMEAN, FMEAN, FMEAN1, WNMEAN, & & AMAX, CD, Z0, CHARN, FMEANWS !/ !/ ------------------------------------------------------------------- / !/ Local parameters !/ INTEGER :: IS, IK, ITH !/S INTEGER, SAVE :: IENT = 0 REAL(rkind) :: TAUW, EBAND, EMEANWS, RDCH, FXPMC, & WNP, UNZ, FP, & R1, CP, EB(NK),EB2(NK),ALFA(NK) !/ !/ ------------------------------------------------------------------- / !/ !/S CALL STRACE (IENT, 'W3SPR3') ! UNZ = MAX ( 0.01_rkind , U ) USTAR = MAX ( 0.0001_rkind , USTAR ) ! EMEAN = ZERO EMEANWS= ZERO FMEANWS= ZERO FMEAN = ZERO FMEAN1 = ZERO WNMEAN = ZERO AMAX = ZERO ! ! 1. Integral over directions and maximum --------------------------- * ! DO IK=1, NK EB(IK) = ZERO EB2(IK) = ZERO DO ITH=1, NTH IS=ITH+(IK-1)*NTH EB(IK) = EB(IK) + A(ITH,IK) IF (LLWS(IS)) EB2(IK) = EB2(IK) + A(ITH,IK) AMAX = MAX ( AMAX , A(ITH,IK) ) END DO ! WRITE(DBG%FHNDL,*) IK, EB(IK), IK, ITH, A(ITH,IK) END DO ! ! 2. Integrate over directions -------------------------------------- * ! DO IK=1, NK ALFA(IK) = 2. * DTH * SIG(IK) * EB(IK) * WN(IK)**3 EB(IK) = EB(IK) * DDEN(IK) / CG(IK) EB2(IK) = EB2(IK) * DDEN(IK) / CG(IK) EMEAN = EMEAN + EB(IK) FMEAN = FMEAN + EB(IK) /SIG(IK) FMEAN1 = FMEAN1 + EB(IK) *(SIG(IK)**(2.*WNMEANPTAIL)) WNMEAN = WNMEAN + EB(IK) *(WN(IK)**WNMEANP) EMEANWS = EMEANWS+ EB2(IK) FMEANWS = FMEANWS+ EB2(IK)*(SIG(IK)**(2.*WNMEANPTAIL)) END DO ! ! 3. Add tail beyond discrete spectrum and get mean pars ------------ * ! ( DTH * SIG absorbed in FTxx ) ! EBAND = EB(NK) / DDEN(NK) EMEAN = EMEAN + EBAND * FTE FMEAN = FMEAN + EBAND * FTF FMEAN1 = FMEAN1 + EBAND * SSTXFTFTAIL WNMEAN = WNMEAN + EBAND * SSTXFTWN EBAND = EB2(NK) / DDEN(NK) EMEANWS = EMEANWS + EBAND * FTE FMEANWS = FMEANWS + EBAND * SSTXFTFTAIL ! ! 4. Final processing ! FMEAN = INVPI2 * EMEAN / MAX ( 1.E-7_rkind , FMEAN ) IF (FMEAN1.LT.1.E-7) THEN FMEAN1=INVPI2 * SIG(NK) ELSE FMEAN1 = INVPI2 *( MAX ( 1.E-7_rkind , FMEAN1 ) & & / MAX ( 1.E-7_rkind , EMEAN ))**(1.d0/(2.*WNMEANPTAIL)) ENDIF WNMEAN = ( MAX ( 1.E-7_rkind , WNMEAN ) & & / MAX ( 1.E-7_rkind , EMEAN ) )**(1.d0/WNMEANP) IF (FMEANWS.LT.1.E-7.OR.EMEANWS.LT.1.E-7) THEN FMEANWS=INVPI2 * SIG(NK) ELSE FMEANWS = INVPI2 *( MAX ( 1.E-7_rkind , FMEANWS ) & & / MAX ( 1.E-7_rkind , EMEANWS ))**(1/(2.*WNMEANPTAIL)) END IF ! ! 5. Cd and z0 ----------------------------------------------- * ! TAUW = SQRT(TAUWX**2+TAUWY**2) Z0=ZERO CALL CALC_USTAR(U,TAUW,USTAR,Z0,CHARN) UNZ = MAX ( 0.01_rkind , U ) CD = (USTAR/UNZ)**2 USDIR = UDIR ! ! 6. Final test output ---------------------------------------------- * ! !/T WRITE (NDST,9060) EMEAN, WNMEAN, TPIINV, CP, CD, Z0 ! !/T 9060 FORMAT (' TEST W3SPR3 : E,WN MN :',F8.3,F8.4/ & !/T ' FP, CP, CD, Z0 :',F8.3,F7.2,1X,2F9.5) !/ !/ End of W3SPR3 ----------------------------------------------------- / !/ END SUBROUTINE !/ ------------------------------------------------------------------- / SUBROUTINE W3SIN4 (IP, A, CG, K, U, USTAR, DRAT, AS, USDIR, Z0, CD, TAUWX, TAUWY, TAUWNX, TAUWNY, S, D, LLWS, BRLAMBDA) !/ !/ +-----------------------------------+ !/ | WAVEWATCH III SHOM | !/ ! F. Ardhuin ! !/ | H. L. Tolman | !/ | FORTRAN 90 | !/ | Last update : 16-May-2010 | !/ +-----------------------------------+ !/ !/ 09-Oct-2007 : Origination. ( version 3.13 ) !/ 16-May-2010 : Adding sea ice ( version 3.14_Ifremer ) !/ ! 1. Purpose : ! ! Calculate diagonal and input source term for WAM4+ approach. ! ! 2. Method : ! ! WAM-4 : Janssen et al. ! WAM-"4.5" : gustiness effect (Cavaleri et al. ) ! SAT : high-frequency input reduction for balance with ! saturation dissipation (Ardhuin et al., 2008) ! SWELL : negative wind input (Ardhuin et al. 2008) ! ! 3. Parameters : ! ! Parameter list ! ---------------------------------------------------------------- ! A R.A. I Action density spectrum (1-D). ! CG R.A. I Group speed *) ! K R.A. I Wavenumber for entire spectrum. *) ! U Real I WIND SPEED ! USTAR Real I Friction velocity. ! DRAT Real I Air/water density ratio. ! AS Real I Air-sea temperature difference ! USDIR Real I wind stress direction ! Z0 Real I Air-side roughness lengh. ! CD Real I Wind drag coefficient. ! USDIR Real I Direction of friction velocity ! TAUWX-Y Real I Components of the wave-supported stress. ! TAUWNX Real I Component of the negative wave-supported stress. ! TAUWNY Real I Component of the negative wave-supported stress. ! ICE Real I Sea ice fraction. ! S R.A. O Source term (1-D version). ! D R.A. O Diagonal term of derivative. *) ! ---------------------------------------------------------------- ! *) Stored as 1-D array with dimension NTH*NK ! ! 4. Subroutines used : ! ! STRACE Subroutine tracing. ( !/S switch ) ! PRT2DS Print plot of spectrum. ( !/T0 switch ) ! OUTMAT Print out matrix. ( !/T1 switch ) ! ! 5. Called by : ! ! W3SRCE Source term integration. ! W3EXPO Point output program. ! GXEXPO GrADS point output program. ! ! 6. Error messages : ! ! 7. Remarks : ! ! 8. Structure : ! ! See source code. ! ! 9. Switches : ! ! !/S Enable subroutine tracing. ! !/T Enable general test output. ! !/T0 2-D print plot of source term. ! !/T1 Print arrays. ! ! 10. Source code : ! !/ ------------------------------------------------------------------- / USE DATAPOOL, ONLY : ICOMP, G9, PI2, RADDEG, MSC, MDC, & & MSC, MDC, TAUTOT, RKIND, NSPEC, ZERO, ONE, DBG, THR8, SINBR !/S USE W3SERVMD, ONLY: STRACE !/T USE W3ODATMD, ONLY: NDST !/T0 USE W3ARRYMD, ONLY: PRT2DS !/T1 USE W3ARRYMD, ONLY: OUTMAT ! IMPLICIT NONE !/ !/ ------------------------------------------------------------------- / !/ Parameter list !/ INTEGER, INTENT(IN) :: IP REAL(rkind), INTENT(IN) :: A(NSPEC), BRLAMBDA(NSPEC) REAL(rkind), INTENT(IN) :: CG(NK), K(NSPEC),Z0,U, CD REAL(rkind), INTENT(IN) :: USTAR, USDIR, AS, DRAT REAL(rkind), INTENT(OUT) :: S(NSPEC), D(NSPEC), TAUWX, TAUWY, TAUWNX, TAUWNY LOGICAL, INTENT(OUT) :: LLWS(NSPEC) !/ !/ ------------------------------------------------------------------- / !/ Local parameters !/ INTEGER :: IS,IK,ITH, IOMA, ICL !/S INTEGER, SAVE :: IENT = 0 REAL(rkind) :: FACLN1, FACLN2, ULAM, CLAM, OMA, & RD1, RD2, LAMBDA, COSFAC REAL(rkind) :: COSU, SINU, TAUX, TAUY, USDIRP, USTP REAL(rkind) :: TAUPX, TAUPY, UST2, TAUW, TAUWB REAL(rkind) , PARAMETER :: EPS1 = 0.00001, EPS2 = 0.000001 REAL(rkind) :: Usigma !standard deviation of U due to gustiness REAL(rkind) :: USTARsigma !standard deviation of USTAR due to gustiness REAL(rkind) :: BETA, mu_janssen, omega_janssen, & CM,ZCO,UCO,UCN,ZCN, & Z0VISC, Z0NOZ, EB, & EBX, EBY, AORB, AORB1, FW, UORB, M2, TH2, & RE, FU, FUD, SWELLCOEFV, SWELLCOEFT REAL(rkind) :: HSBLOW, ABJSEA, FACTOR REAL(rkind) :: PTURB, PVISC, SMOOTH REAL(rkind) :: XI,DELI1,DELI2 REAL(rkind) :: XJ,DELJ1,DELJ2 REAL(rkind) :: XK,DELK1,DELK2 REAL(rkind) :: CONST, CONST0, CONST2, TAU1 REAL(rkind) :: X,ZARG,ZLOG,UST REAL(rkind) :: COSWIND, XSTRESS, YSTRESS, TAUHF REAL(rkind) :: TEMP, TEMP2 INTEGER IND,J,I,ISTAB REAL(rkind) :: DSTAB(3,NSPEC), DVISC, DTURB REAL(rkind) :: STRESSSTAB(3,2),STRESSSTABN(3,2) !/T0 REAL :: DOUT(NK,NTH) !/ !/ ------------------------------------------------------------------- / !/ !/S CALL STRACE (IENT, 'W3SIN3') ! !/T WRITE (NDST,9000) BBETA, USTAR, USDIR*RADE ! ! 1. Preparations ! ! ! 1.a estimation of surface roughness parameters ! Z0VISC = 0.1_rkind*nu_air/MAX(USTAR,0.0001_rkind) Z0NOZ = MAX(Z0VISC,ZZ0RAT*Z0) FACLN1 = U / LOG(ZZWND/Z0NOZ) FACLN2 = LOG(Z0NOZ) ! ! 1.b estimation of surface orbital velocity and displacement ! UORB=0. AORB=0. DO IK=1, NK EB = 0. EBX = 0. EBY = 0. DO ITH=1, NTH IS=ITH+(IK-1)*NTH EB = EB + A(IS) END DO ! ! At this point UORB and AORB are the variances of the orbital velocity and surface elevation ! UORB = UORB + EB *SIG(IK)**2 * DDEN(IK) / CG(IK) AORB = AORB + EB * DDEN(IK) / CG(IK) !deep water only END DO UORB = 2*SQRT(UORB) ! significant orbital amplitude AORB1 = 2*AORB**(1-0.5*SSWELLF(6)) ! half the significant wave height ... if SWELLF(6)=1 RE = 4*UORB*AORB1 / NU_AIR ! Reynolds number ! ! Defines the swell dissipation based on the "Reynolds number" ! IF (SSWELLF(4).GT.0) THEN IF (SSWELLF(7).GT.0.) THEN SMOOTH = 0.5*TANH((RE-SSWELLF(4))/SSWELLF(7)) PTURB=(0.5+SMOOTH) PVISC=(0.5-SMOOTH) ELSE IF (RE.LE.SSWELLF(4)) THEN PTURB = ZERO PVISC = ONE ELSE PTURB = ONE PVISC = ZERO END IF END IF ELSE PTURB=ONE PVISC=ONE END IF ! IF (SSWELLF(2).EQ.0) THEN FW=MAX(ABS(SSWELLF(3)),ZERO) FU=ZERO FUD=ZERO ELSE FU=ABS(SSWELLF(3)) FUD=SSWELLF(2) AORB=2*SQRT(AORB) XI=(LOG10(MAX(AORB/Z0NOZ,3._rkind))-ABMIN)/DELAB IND = MIN (SIZEFWTABLE-1, INT(XI)) DELI1= MIN (ONE ,XI-MyREAL(IND)) DELI2= ONE - DELI1 !WRITE(DBG%FHNDL,'(A10,I10,5F15.8)') 'TEST IND',IND, XI, AORB, Z0NOZ, ABMIN, DELAB FW =FWTABLE(IND)*DELI2+FWTABLE(IND+1)*DELI1 END IF ! ! 2. Diagonal ! ! Here AS is the air-sea temperature difference in degrees. Expression given by ! Abdalla & Cavaleri, JGR 2002 for Usigma. For USTARsigma ... I do not see where ! I got it from, maybe just made up from drag law ... ! # ifdef STAB3 Usigma=MAX(0.,-0.025_rkind*AS) USTARsigma=(ONE+U/(10._rkind+U))*Usigma # endif UST=USTAR ISTAB=3 # ifdef STAB3 DO ISTAB=1,2 IF (ISTAB.EQ.1) UST=USTAR*(ONE - USTARsigma) IF (ISTAB.EQ.2) UST=USTAR*(ONE + USTARsigma) # endif TAUX = UST**2* MyCOS(USDIR) TAUY = UST**2* MySIN(USDIR) !WRITE(DBG%FHNDL,*) 'TAU USTAR', TAUX, TAUY, UST, USDIR, USTAR ! ! Loop over the resolved part of the spectrum ! STRESSSTAB(ISTAB,:)=ZERO STRESSSTABN(ISTAB,:)=ZERO ! ! Coupling coefficient times densit ration and fraction of free surface (1-ICE) ! IF (FLICES) THEN STOP 'NO ICE HERE' !CONST0=MIN(ZERO,MAX(ONE,ONE-ICE))*BBETA*DRAT/(kappa**2) ELSE CONST0=BBETA*DRAT/(kappa**2) END IF DO IK=1, NK TAUPX=TAUX-ABS(TTAUWSHELTER)*STRESSSTAB(ISTAB,1) TAUPY=TAUY-ABS(TTAUWSHELTER)*STRESSSTAB(ISTAB,2) ! With MIN and MAX the bug should disappear.... but where did it come from? ! AR: This is ugly ... USTP=MIN((TAUPX**2+TAUPY**2)**0.25_rkind,MAX(UST,0.3_rkind)) !WRITE(DBG%FHNDL,*) 'USTP', IK, USTP, STRESSSTAB(ISTAB,1), STRESSSTAB(ISTAB,2), TTAUWSHELTER USDIRP=ATAN2(TAUPY,TAUPX) COSU = MyCOS(USDIRP) SINU = MySIN(USDIRP) IS=1+(IK-1)*NTH CM=K(IS)/SIG2(IS) !inverse of phase speed UCN=USTP*CM+ZZALP !this is the inverse wave age ! the stress is the real stress (N/m^2) divided by ! rho_a, and thus comparable to USTAR**2 ! it is the integral of rho_w g Sin/C /rho_a ! (air-> waves momentum flux) CONST2=DDEN2(IS)/CG(IK) & !Jacobian to get energy in band & *G9/(SIG(IK)/K(IS)*DRAT) ! coefficient to get momentum CONST=SIG2(IS)*CONST0 ! this CM parameter is 1 / C_phi ! this is the "correct" shallow-water expression ! here Z0 corresponds to Z0+Z1 of the Janssen eq. 14 #ifdef USE_SINGLE ZCN=LOG(K(IS)*Z0) #else ZCN=DLOG(K(IS)*Z0) #endif ! below is the original WAM version (OK for deep water) g*z0/C^2 ! ZCN=LOG(G*Z0b(I)*CM(I)**2) ! ! precomputes swell factors ! SWELLCOEFV=-SSWELLF(5)*DRAT*2*K(IS)*SQRT(2*NU_AIR*SIG2(IS)) SWELLCOEFT=-DRAT*SSWELLF(1)*16*SIG2(IS)**2/G9 ! !WRITE(DBG%FHNDL,*) 'UCN', IK, IS, USTP, CM ,K(IK), DDEN2(IS), Z0 DO ITH=1,NTH IS=ITH+(IK-1)*NTH COSWIND=(ECOS(IS)*COSU+ESIN(IS)*SINU) IF (COSWIND.GT.0.01) THEN X=COSWIND*UCN ! this ZARG term is the argument of the exponential ! in Janssen 1991 eq. 16. ZARG=KAPPA/X ! ZLOG is ALOG(MU) where MU is defined by Janssen 1991 eq. 15 ! MU= ZLOG=ZCN+ZARG !WRITE(DBG%FHNDL,*) 'ZLOG', IK, ITH, ZCN, ZARG, X, KAPPA, UCN IF (ZLOG.LT.0.) THEN ! The source term Sp is beta * omega * X**2 ! as given by Janssen 1991 eq. 19 ! for a faster performance EXP(X)*X**4 should be tabulated DSTAB(ISTAB,IS) = CONST*EXP(ZLOG)*ZLOG**4 & *UCN*UCN*COSWIND**SSINTHP *(1+BRLAMBDA(IS)*20*SINBR) LLWS(IS)=.TRUE. ELSE DSTAB(ISTAB,IS) = 0. LLWS(IS)=.FALSE. END IF !WRITE(DBG%FHNDL,*) 'DSTAB', DSTAB(ISTAB,IS), CONST,EXP(ZLOG),ZLOG**4,UCN**2,COSWIND,SSINTHP ! ! Added for consistency with ECWAM implsch.F ! IF (28._rkind*CM*USTAR*COSWIND.GE.1) THEN LLWS(IS)=.TRUE. END IF ELSE ! (COSWIND.LE.0.01) DSTAB(ISTAB,IS) = 0. LLWS(IS)=.FALSE. END IF IF ((SSWELLF(1).NE.0.AND.DSTAB(ISTAB,IS).LT.1E-7*SIG2(IS)) & & .OR.SSWELLF(3).GT.0) THEN ! DVISC=SWELLCOEFV ! + SSWELLF(7)/SIG2(IS) ! fudge for low frequency DTURB=SWELLCOEFT*(FW*UORB+(FU+FUD*COSWIND)*USTP) DSTAB(ISTAB,IS) = DSTAB(ISTAB,IS) + PTURB*DTURB + PVISC*DVISC END IF ! ! Sums up the wave-supported stress ! ! Wave direction is "direction to" ! therefore there is a PLUS sign for the stress TEMP2=CONST2*DSTAB(ISTAB,IS)*A(IS) IF (DSTAB(ISTAB,IS).LT.0) THEN STRESSSTABN(ISTAB,1)=STRESSSTABN(ISTAB,1)+TEMP2*ECOS(IS) STRESSSTABN(ISTAB,2)=STRESSSTABN(ISTAB,2)+TEMP2*ESIN(IS) ELSE STRESSSTAB(ISTAB,1)=STRESSSTAB(ISTAB,1)+TEMP2*ECOS(IS) STRESSSTAB(ISTAB,2)=STRESSSTAB(ISTAB,2)+TEMP2*ESIN(IS) END IF END DO END DO ! D(:)=DSTAB(3,:) XSTRESS=STRESSSTAB (3,1) YSTRESS=STRESSSTAB (3,2) TAUWNX =STRESSSTABN(3,1) TAUWNY =STRESSSTABN(3,2) !/STAB3 END DO !/STAB3 D(:)=0.5*(DSTAB(1,:)+DSTAB(2,:)) !/STAB3 XSTRESS=0.5*(STRESSSTAB(1,1)+STRESSSTAB(2,1)) !/STAB3 YSTRESS=0.5*(STRESSSTAB(1,2)+STRESSSTAB(2,2)) !/STAB3 TAUWNX=0.5*(STRESSSTABN(1,1)+STRESSSTABN(2,1)) !/STAB3 TAUWNY=0.5*(STRESSSTABN(1,2)+STRESSSTABN(2,2)) ! IMATRAIMATDA ! IF (ICOMP < 2) THEN S = D * A ! ELSE ! DO IK=1, NK ! DO ITH=1, NTH ! IS = ITH+(IK-1)*NTH !write(*,*) IK, ITH, IS, D(IS) ! IF (D(IS) .GT. ZERO) THEN ! S(IS) = D(IS) * A(IS) ! D(IS) = ZERO ! ELSE ! S(IS) = ZERO ! D(IS) = - D(IS) ! ENDIF ! END DO ! END DO ! ENDIF ! ! ... Test output of arrays ! !/T0 DO IK=1, NK !/T0 DO ITH=1, NTH !/T0 DOUT(IK,ITH) = D(ITH+(IK-1)*NTH) !/T0 END DO !/T0 END DO ! !/T0 CALL PRT2DS (NDST, NK, NK, NTH, DOUT, SIG(1), ' ', 1., & !/T0 0.0, 0.001, 'Diag Sin', ' ', 'NONAME') ! !/T1 CALL OUTMAT (NDST, D, NTH, NTH, NK, 'diag Sin') ! ! Computes the high-frequency contribution ! the difference in spectal density (kx,ky) to (f,theta) ! is integrated in this modified CONST0 CONST0=DTH*SIG(NK)**5/((G9**2)*PI2) & & *PI2*SIG(NK) / CG(NK) !conversion WAM (E(f,theta) to WW3 A(k,theta) TEMP=0. DO ITH=1,NTH IS=ITH+(NK-1)*NTH COSWIND=(ECOS(IS)*COSU+ESIN(IS)*SINU) TEMP=TEMP+A(IS)*(MAX(COSWIND,ZERO))**3 !WRITE(DBG%FHNDL,*) ITH, IS, A(IS), (MAX(COSWIND,ZERO))**3 END DO TAUPX=TAUX-ABS(TTAUWSHELTER)*XSTRESS TAUPY=TAUY-ABS(TTAUWSHELTER)*YSTRESS !WRITE(DBG%FHNDL,*) 'TAUPX', TAUPX, TAUPY, TTAUWSHELTER, XSTRESS, YSTRESS USTP=(TAUPX**2+TAUPY**2)**0.25 USDIRP=ATAN2(TAUPY,TAUPX) UST=USTP ! finds the values in the tabulated stress TAUHFT XI=UST/DELUST IND = MAX(1,MIN (IUSTAR-1, INT(XI))) DELI1= MAX(MIN (ONE, XI-FLOAT(IND)),ZERO) DELI2= ONE - DELI1 !AR: this is tricky this runs out of int precision XJ=MIN(10E6,MAX(ZERO,(G9*Z0/MAX(UST,0.0001_rkind)**2-AALPHA) / DELALP)) J = MAX(1 ,MIN (IALPHA-1, INT(XJ))) DELJ1= MAX(0.,MIN (ONE , XJ-FLOAT(J))) DELJ2=ONE- DELJ1 IF (TTAUWSHELTER.GT.0) THEN XK = CONST0*TEMP / DELTAIL I = MIN (ILEVTAIL-1, INT(XK)) !WRITE(*,*) XK, I, CONST0, TEMP, DELTAIL, SUM(A), IP DELK1= MIN (ONE,XK-FLOAT(I)) DELK2=1. - DELK1 TAU1 =((TAUHFT2(IND,J,I)*DELI2+TAUHFT2(IND+1,J,I)*DELI1 )*DELJ2 & +(TAUHFT2(IND,J+1,I)*DELI2+TAUHFT2(IND+1,J+1,I)*DELI1)*DELJ1)*DELK2 & +((TAUHFT2(IND,J,I+1)*DELI2+TAUHFT2(IND+1,J,I+1)*DELI1 )*DELJ2 & +(TAUHFT2(IND,J+1,I+1)*DELI2+TAUHFT2(IND+1,J+1,I+1)*DELI1)*DELJ1)*DELK1 ELSE TAU1 =(TAUHFT(IND,J)*DELI2+TAUHFT(IND+1,J)*DELI1 )*DELJ2 & +(TAUHFT(IND,J+1)*DELI2+TAUHFT(IND+1,J+1)*DELI1)*DELJ1 END IF TAUHF = CONST0*TEMP*UST**2*TAU1 TAUWX = XSTRESS+TAUHF*COS(USDIRP) TAUWY = YSTRESS+TAUHF*SIN(USDIRP) ! ! Reduces tail effect to make sure that wave-supported stress ! is less than total stress, this is borrowed from ECWAM Stresso.F ! TAUW = SQRT(TAUWX**2+TAUWY**2) UST2 = MAX(USTAR,EPS2)**2 TAUWB = MIN(TAUW,MAX(UST2-EPS1,EPS2**2)) IF (TAUWB.LT.TAUW) THEN TAUWX=TAUWX*TAUWB/TAUW TAUWY=TAUWY*TAUWB/TAUW END IF ! RETURN ! ! Formats ! !/T 9000 FORMAT (' TEST W3SIN4 : COMMON FACT.: ',3E10.3) !/ !/ End of W3SIN3 ----------------------------------------------------- / !/ END SUBROUTINE !/ ------------------------------------------------------------------- / SUBROUTINE INSIN4(FLTABS) !/ !/ +-----------------------------------+ !/ | WAVEWATCH III NOAA/NCEP | !/ | SHOM | !/ | F. Ardhuin | !/ | FORTRAN 90 | !/ | Last update : 30-Aug-2010 | !/ +-----------------------------------+ !/ !/ 30-Aug-2010 : Origination. ( version 3.14-Ifremer ) ! ! 1. Purpose : ! ! Initialization for source term routine. ! ! 2. Method : ! ! 3. Parameters : ! ! ---------------------------------------------------------------- ! FLTABS Logical ! ---------------------------------------------------------------- ! ! 4. Subroutines used : ! ! Name Type Module Description ! ---------------------------------------------------------------- ! STRACE Subr. W3SERVMD Subroutine tracing. ! ---------------------------------------------------------------- ! ! 5. Called by : ! ! Name Type Module Description ! ---------------------------------------------------------------- ! W3SIN4 Subr. W3SRC3MD Corresponding source term. ! ---------------------------------------------------------------- ! ! 6. Error messages : ! ! None. ! ! 7. Remarks : ! ! 8. Structure : ! ! See source code. ! ! 9. Switches : ! ! !/S Enable subroutine tracing. ! ! 10. Source code : ! !/ ------------------------------------------------------------------- / USE DATAPOOL, ONLY: G9, INVPI2, RADDEG, RKIND, LPRECOMP_EXIST, MSC, MDC USE DATAPOOL, ONLY: ZERO, ONE, TWO, STAT, TH USE DATAPOOL, ONLY: myrank IMPLICIT NONE !/ !/ ------------------------------------------------------------------- / !/ Parameter list !/ LOGICAL, INTENT(IN) :: FLTABS !/ !/ ------------------------------------------------------------------- / !/ INTEGER SDSNTH, ITH, I_INT, J_INT, IK, IK2, ITH2 , IS, IS2 INTEGER IKL, ID, ICON, IKD, IKHS, IKH, TOTO, ISTAT REAL(rkind) :: C, C2 REAL(rkind) :: DIFF1, DIFF2, K_SUP(NK), BINF, BSUP, K(NK), CGG, PROF REAL(rkind) :: KIK, DHS, KD, KHS, KH, B, XT, GAM, DKH, PR, W, EPS REAL(rkind) :: DKD, DELTAFIT, NHI, H, IH, DH, KDD, CN, CC REAL(rkind), DIMENSION(:,:) , ALLOCATABLE :: SIGTAB REAL(rkind), DIMENSION(:,:) , ALLOCATABLE :: K1, K2 !/ !/ ------------------------------------------------------------------- / !/ Local parameters !/ !/S INTEGER, SAVE :: IENT = 0 !/ !/ ------------------------------------------------------------------- / !/ !/S CALL STRACE (IENT, 'INSIN4') ! ! 1. .... ----------------------------------------------------------- * ! ! These precomputed tables are written in mod_def.ww3 ! ! WRITE(6,*) 'INSIN4:',FLTABS, SSDSDTH, SSDSC3, SSDSBCK IF (FLTABS) THEN CALL TABU_STRESS CALL TABU_TAUHF(SIG(NK) * INVPI2) !tabulate high-frequency stress IF (TTAUWSHELTER.GT.0) THEN WRITE(STAT%FHNDL,*) 'Computing 3D lookup table... please wait ...' CALL TABU_TAUHF2(SIG(NK) * INVPI2) !tabulate high-frequency stress END IF END IF ! ! 2. SPONTANEOUS BREAKING ! 2.a Precomputes the indices for integrating the spectrum to get saturation (TEST 4xx ) ! IF (SSDSDTH.LT.180) THEN SDSNTH = MIN(NINT(SSDSDTH/(DTH*RADDEG)),NTH/2-1) SATINDICES(:,:)=1 SATWEIGHTS(:,:)=0. DO ITH=1,NTH DO I_INT=ITH-SDSNTH, ITH+SDSNTH J_INT=I_INT IF (I_INT.LT.1) J_INT=I_INT+NTH IF (I_INT.GT.NTH) J_INT=I_INT-NTH SATINDICES(I_INT-(ITH-SDSNTH)+1,ITH)=J_INT SATWEIGHTS(I_INT-(ITH-SDSNTH)+1,ITH)= & & MyCOS(TH(ITH)-TH(J_INT))**SSDSCOS END DO END DO ELSE SATINDICES(:,:)=1 SATWEIGHTS(:,:)=ONE END IF !/ ------------------------------------------------------------------- / ! ! Precomputes QBI and DCKI (TEST 500) ! IF (SSDSBCK.GT.0) THEN ! ! Precomputes the indices for integrating the spectrum over frquency bandwidth ! BINF=(1-SSDSBINT) ! Banner et al 2002: Hp=4*sqrt(int_0.7^1.3fp E df), SSDSBINT=0.3 BSUP=(1+SSDSBINT) KIK=0. ! ! High frequency tail for convolution calculation ! ALLOCATE(K1(NK,NDTAB), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 12') ALLOCATE(K2(NK,NDTAB), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 13') ALLOCATE(SIGTAB(NK,NDTAB), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 14') SIGTAB=0. !contains frequency for upper windows boundaries IKTAB=0 ! contains indices for upper windows boundaries DO ID=1,NDTAB TOTO=0 PROF=MyREAL(ID) DO IKL=1,NK ! last window starts at IK=NK !CALL WAVNU2(SIG(IKL), PROF, KIK, CGG, 1E-7, 15, ICON) CALL ALL_FROM_TABLE(SIG(IKL),PROF,KIK,CGG,KDD,CN,CC) K1(IKL,ID)=KIK ! wavenumber lower boundary (is directly related to the frequency indices, IK) K2(IKL,ID)=((BSUP/BINF)**2)*K1(IKL,ID)! wavenumber upper boundary SIGTAB(IKL,ID)=SQRT(G9*K2(IKL,ID)*MyTANH(K2(IKL,ID)*ID)) ! corresponding frequency upper boundary IF(SIGTAB(IKL,ID) .LE. SIG(1)) THEN IKTAB(IKL,ID)=1 END IF IF(SIGTAB(IKL,ID) .GT. SIG(NK)) THEN IKTAB(IKL,ID)=NK+TOTO ! in w3sds4 only windows with IKSUP<=NK will be kept TOTO=1 END IF DO IK=1,NK-1 DIFF1=0. DIFF2=0. IF(SIG(IK) < SIGTAB(IKL,ID) .AND. & & SIG(IK+1)>=SIGTAB(IKL,ID)) THEN DIFF1=SIGTAB(IKL,ID)-SIG(IK) ! seeks the indices of the upper boundary DIFF2=SIG(IK+1)-SIGTAB(IKL,ID)! the indices of lower boudary = IK IF (DIFF1TAUW. ! ---------------------------------------------------------------------- INTEGER I,J,ITER REAL(rkind) ZTAUW,UTOP,CDRAG,WCD,USTOLD,TAUOLD REAL(rkind) X,UST,ZZ0,F,DELF,ZZ00,ALOGZ ! ! DELU = UMAX/MyREAL(JUMAX) DELTAUW = TAUWMAX/MyREAL(ITAUMAX) DO I=0,ITAUMAX ZTAUW = (MyREAL(I)*DELTAUW)**2 DO J=0,JUMAX UTOP = MyREAL(J)*DELU CDRAG = 0.0012875 WCD = SQRT(CDRAG) USTOLD = UTOP*WCD TAUOLD = MAX(USTOLD**2, ZTAUW+EPS1) DO ITER=1,NITER X = ZTAUW/TAUOLD UST = SQRT(TAUOLD) ZZ00=AALPHA*TAUOLD/G9 IF (ZZ0MAX.NE.0) ZZ00=MIN(ZZ00,ZZ0MAX) ! Corrects roughness ZZ00 for quasi-linear effect ZZ0 = ZZ00/(ONE-X)**XM !ZNU = 0.1*nu_air/UST ! This was removed by Bidlot in 1996 !ZZ0 = MAX(ZNU,ZZ0) ALOGZ = LOG(ZZWND/ZZ0) F = UST-KAPPA*UTOP/ALOGZ DELF= ONE-KAPPA*UTOP/ALOGZ**2*TWO/UST & & *(ONE - (XM+1)*X)/(ONE-X) UST = UST-F/DELF TAUOLD= MAX(UST**2, ZTAUW+EPS1) END DO TAUT(I,J) = SQRT(TAUOLD) END DO END DO I=ITAUMAX J=JUMAX ! ! Force zero wind to have zero stress (Bidlot 1996) ! DO I=0,ITAUMAX TAUT(I,0)=0.0 END DO ! ! Write test output ... WWM ! RETURN END SUBROUTINE TABU_STRESS !/ ------------------------------------------------------------------- / SUBROUTINE TABU_TAUHF(FRMAX) !/ !/ +-----------------------------------+ !/ | WAVEWATCH III NOAA/NCEP | !/ | F. Ardhuin | !/ | FORTRAN 90 | !/ | Last update 2006/08/14 | !/ +-----------------------------------+ !/ !/ 27-Feb-2004 : Origination in WW3 ( version 2.22.SHOM ) !/ the resulting table was checked to be identical to the original f77 result !/ 14-Aug-2006 : Modified following Bidlot ( version 2.22.SHOM ) !/ 18-Aug-2006 : Ported to version 3.09 ! ! 1. Purpose : ! ! Tabulation of the high-frequency wave-supported stress ! ! 2. Method : ! ! SEE REFERENCE FOR WAVE STRESS CALCULATION. ! FOR QUASILINEAR EFFECT SEE PETER A.E.M. JANSSEN,1990. ! See tech. Memo ECMWF 03 december 2003 by Bidlot & Janssen ! ! 3. Parameters : ! ! Parameter list ! ---------------------------------------------------------------- ! FRMAX Real I maximum frequency. ! ---------------------------------------------------------------- ! ! 4. Subroutines used : ! ! STRACE Service routine. ! ! 5. Called by : ! ! W3SIN3 Wind input Source term routine. ! ! 6. Error messages : ! ! 7. Remarks : ! ! 8. Structure : ! ! See source code. ! ! 9. Switches : ! ! !/S Enable subroutine tracing. ! !/T Enable test output. ! ! 10. Source code : ! !/ ------------------------------------------------------------------- / !/T USE W3ODATMD, ONLY: NDST ! USE DATAPOOL, ONLY : G9, PI2, RKIND, ZERO, ONE IMPLICIT NONE !/ !/ ------------------------------------------------------------------- / !/ Parameter list !/ REAL(rkind), intent(in) :: FRMAX ! maximum frequency !/ !/ ------------------------------------------------------------------- / !/ Local parameters !/ ! USTARM R.A. Maximum friction velocity ! ALPHAM R.A. Maximum Charnock Coefficient ! WLV R.A. Water levels. ! UA R.A. Absolute wind speeds. ! UD R.A. Absolute wind direction. ! U10 R.A. Wind speed used. ! U10D R.A. Wind direction used. ! 10. Source code : ! !/ ------------------------------------------------------------------- / REAL(rkind) :: USTARM, ALPHAM REAL(rkind) :: CONST1, OMEGA, OMEGAC REAL(rkind) :: UST, ZZ0,OMEGACC, CM INTEGER, PARAMETER :: JTOT=250 REAL(rkind), ALLOCATABLE :: W(:) REAL(rkind) :: ZX,ZARG,ZMU,ZLOG,ZZ00,ZBETA REAL(rkind) :: Y,YC,DELY INTEGER :: J,K,L REAL(rkind) :: X0 integer istat ! !/S CALL STRACE (IENT, 'TABU_HF') ! USTARM = 5. ALPHAM = 20.*AALPHA DELUST = USTARM/MyREAL(IUSTAR) DELALP = ALPHAM/MyREAL(IALPHA) CONST1 = BBETA/KAPPA**2 OMEGAC = PI2*FRMAX ! TAUHFT(0:IUSTAR,0:IALPHA)=0. !table initialization ! ALLOCATE(W(JTOT), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 17') W(2:JTOT-1)=ONE W(1)=0.5_rkind W(JTOT)=0.5_rkind X0 = 0.05_rkind ! DO L=0,IALPHA DO K=0,IUSTAR UST = MAX(MyREAL(K)*DELUST,0.000001_rkind) ZZ00 = UST**2*AALPHA/G9 IF (ZZ0MAX.NE.0) ZZ00=MIN(ZZ00,ZZ0MAX) ZZ0 = ZZ00*(1+MyREAL(L)*DELALP/AALPHA) OMEGACC = MAX(OMEGAC,X0*G9/UST) YC = OMEGACC*SQRT(ZZ0/G9) DELY = MAX((ONE-YC)/MyREAL(JTOT),ZERO) ! For a given value of UST and ALPHA, ! the wave-supported stress is integrated all the way ! to 0.05*g/UST DO J=1,JTOT Y = YC+MyREAL(J-1)*DELY OMEGA = Y*SQRT(G9/ZZ0) ! This is the deep water phase speed CM = G9/OMEGA !this is the inverse wave age, shifted by ZZALP (tuning) ZX = UST/CM +ZZALP ZARG = MIN(KAPPA/ZX,20.0_rkind) ZMU = MIN(G9*ZZ0/CM**2*EXP(ZARG),ONE) ZLOG = MIN(LOG(ZMU),ZERO) ZBETA = CONST1*ZMU*ZLOG**4 ! Power of Y in denominator should be FACHFE-4 TAUHFT(K,L) = TAUHFT(K,L)+W(J)*ZBETA/Y*DELY END DO !/T WRITE (NDST,9000) L,K,AALPHA+MyREAL(L)*DELALP,UST,TAUHFT(K,L) END DO END DO DEALLOCATE(W) !/T 9000 FORMAT ('TABU_HF, L, K, ALPHA, UST, TAUHFT(K,L) :',(2I4,3F8.3)) END SUBROUTINE TABU_TAUHF !/ ------------------------------------------------------------------- / SUBROUTINE TABU_TAUHF2(FRMAX) !/ !/ +-----------------------------------+ !/ | WAVEWATCH III NOAA/NCEP | !/ | F. Ardhuin | !/ | FORTRAN 90 | !/ | Last update 2006/08/14 | !/ +-----------------------------------+ !/ !/ 15-May-2007 : Origination in WW3 ( version 3.10.SHOM ) ! ! 1. Purpose : ! ! Tabulation of the high-frequency wave-supported stress as a function of ! ustar, alpha (modified Charnock), and tail energy level ! ! 2. Method : ! ! SEE REFERENCE FOR WAVE STRESS CALCULATION. ! FOR QUASILINEAR EFFECT SEE PETER A.E.M. JANSSEN,1990. ! See tech. Memo ECMWF 03 december 2003 by Bidlot & Janssen ! ! 3. Parameters : ! ! Parameter list ! ---------------------------------------------------------------- ! FRMAX Real I maximum frequency. ! ---------------------------------------------------------------- ! ! 4. Subroutines used : ! ! STRACE Service routine. ! ! 5. Called by : ! ! W3SIN3 Wind input Source term routine. ! ! 6. Error messages : ! ! 7. Remarks : ! ! 8. Structure : ! ! See source code. ! ! 9. Switches : ! ! !/S Enable subroutine tracing. ! !/T Enable test output. ! ! 10. Source code : ! !/ ------------------------------------------------------------------- / !/T USE W3ODATMD, ONLY: NDST ! USE DATAPOOL, ONLY : G9, PI2, RKIND, ZERO, ONE IMPLICIT NONE !/ !/ ------------------------------------------------------------------- / !/ Parameter list !/ REAL(rkind), intent(in) :: FRMAX ! maximum frequency !/ !/ ------------------------------------------------------------------- / !/ Local parameters !/ ! USTARM R.A. Maximum friction velocity ! ALPHAM R.A. Maximum Charnock Coefficient ! WLV R.A. Water levels. ! UA R.A. Absolute wind speeds. ! UD R.A. Absolute wind direction. ! U10 R.A. Wind speed used. ! U10D R.A. Wind direction used. ! 10. Source code : ! !/ ------------------------------------------------------------------- / REAL(rkind) :: USTARM, ALPHAM, LEVTAILM REAL(rkind) :: CONST1, OMEGA, OMEGAC, LEVTAIL REAL(rkind) :: UST, UST0, ZZ0,OMEGACC, CM REAL(rkind) :: TAUW, TAUW0 INTEGER, PARAMETER :: JTOT=250 REAL(rkind), ALLOCATABLE :: W(:) REAL(rkind) :: ZX,ZARG,ZMU,ZLOG,ZBETA REAL(rkind) :: Y,YC,DELY INTEGER :: I, J, K, L REAL(rkind) :: X0 integer istat ! !/S CALL STRACE (IENT, 'TABU_HF') ! USTARM = 5._rkind ALPHAM = 20.*AALPHA LEVTAILM = 0.05_rkind DELUST = USTARM/MyREAL(IUSTAR) DELALP = ALPHAM/MyREAL(IALPHA) DELTAIL = ALPHAM/MyREAL(ILEVTAIL) CONST1 = BBETA/KAPPA**2 OMEGAC = PI2*FRMAX ! TAUHFT(0:IUSTAR,0:IALPHA)=0._rkind !table initialization ! ALLOCATE(W(JTOT), stat=istat) IF (istat/=0) CALL WWM_ABORT('wwm_ardhuin_new, allocate error 18') W(2:JTOT-1)=ONE W(1)=0.5_rkind W(JTOT)=0.5_rkind X0 = 0.05_rkind ! DO K=0,IUSTAR UST0 = MAX(MyREAL(K)*DELUST,0.000001_rkind) DO L=0,IALPHA UST=UST0 ZZ0 = UST0**2*(AALPHA+MyREAL(L)*DELALP)/G9 OMEGACC = MAX(OMEGAC,X0*G9/UST) YC = OMEGACC*SQRT(ZZ0/G9) DELY = MAX((ONE-YC)/MyREAL(JTOT),ZERO) ! For a given value of UST and ALPHA, ! the wave-supported stress is integrated all the way ! to 0.05*g/UST DO I=0,ILEVTAIL LEVTAIL=MyREAL(I)*DELTAIL TAUHFT(K,L)=0. TAUHFT2(K,L,I)=0. TAUW0=UST0**2 TAUW=TAUW0 DO J=1,JTOT Y = YC+MyREAL(J-1)*DELY OMEGA = Y*SQRT(G9/ZZ0) ! This is the deep water phase speed CM = G9/OMEGA !this is the inverse wave age, shifted by ZZALP (tuning) ZX = UST0/CM +ZZALP ZARG = MIN(KAPPA/ZX,20._rkind) ZMU = MIN(G9*ZZ0/CM**2*EXP(ZARG),1._rkind) ZLOG = MIN(LOG(ZMU),ZERO) ZBETA = CONST1*ZMU*ZLOG**4 ! Power of Y in denominator should be FACHFE-4 TAUHFT(K,L) = TAUHFT(K,L)+W(J)*ZBETA/Y*DELY ZX = UST/CM +ZZALP ZARG = MIN(KAPPA/ZX,20._rkind) ZMU = MIN(G9*ZZ0/CM**2*EXP(ZARG),1._rkind) ZLOG = MIN(LOG(ZMU),0._rkind) ZBETA = CONST1*ZMU*ZLOG**4 ! Power of Y in denominator should be FACHFE-4 TAUHFT2(K,L,I) = TAUHFT2(K,L,I)+ & & W(J)*ZBETA*(UST/UST0)**2/Y*DELY TAUW=TAUW-W(J)*UST**2*ZBETA*LEVTAIL/Y*DELY UST=SQRT(MAX(TAUW,0._rkind)) END DO !/T WRITE (NDST,9000) K,L,I,UST0,AALPHA+MyREAL(L)*DELALP,LEVTAIL,TAUHFT2(K,L,I) END DO END DO END DO DEALLOCATE(W) !/T 9000 FORMAT (' TEST TABU_HFT2, K, L, I, UST, ALPHA, LEVTAIL, TAUHFT2(K,L,I) :',(3I4,4F10.5)) END SUBROUTINE TABU_TAUHF2 !/ ------------------------------------------------------------------- / SUBROUTINE CALC_USTAR(WINDSPEED,TAUW,USTAR,Z0,CHARN) !/ !/ +-----------------------------------+ !/ | WAVEWATCH III NOAA/NCEP | !/ | F. Ardhuin | !/ | FORTRAN 90 | !/ | Last update 2006/08/14 | !/ +-----------------------------------+ !/ !/ 27-Feb-2004 : Origination in WW3 ( version 2.22-SHOM ) !/ the resulting table was checked to be identical to the original f77 result !/ 14-Aug-2006 : Modified following Bidlot ( version 2.22-SHOM ) !/ 18-Aug-2006 : Ported to version 3.09 !/ 03-Apr-2010 : Adding output of Charnock parameter ( version 3.14-IFREMER ) ! ! 1. Purpose : ! ! Compute friction velocity based on wind speed U10 ! ! 2. Method : ! ! Computation of u* based on Quasi-linear theory ! ! 3. Parameters : ! ! Parameter list ! ---------------------------------------------------------------- ! U10,TAUW,USTAR,Z0 ! ---------------------------------------------------------------- ! WINDSPEED Real I 10-m wind speed ... should be NEUTRAL ! TAUW Real I Wave-supported stress ! USTAR Real O Friction velocity. ! Z0 Real O air-side roughness length ! ---------------------------------------------------------------- ! ! 4. Subroutines used : ! ! STRACE Service routine. ! ! 5. Called by : ! ! W3SIN3 Wind input Source term routine. ! ! 6. Error messages : ! ! 7. Remarks : ! ! 8. Structure : ! ! See source code. ! ! 9. Switches : ! ! !/S Enable subroutine tracing. ! !/T Enable test output. ! ! 10. Source code : !-----------------------------------------------------------------------------! !/T USE W3ODATMD, ONLY: NDST USE DATAPOOL, ONLY : G9, PI2, RKIND, ZERO, ONE, THR IMPLICIT NONE ! ! ! REAL(rkind), intent(in) :: WINDSPEED,TAUW REAL(rkind), intent(out) :: USTAR, Z0, CHARN ! local variables REAL(rkind) SQRTCDM1 REAL(rkind) XI,DELI1,DELI2,XJ,delj1,delj2 REAL(rkind) TAUW_LOCAL INTEGER IND,J ! TAUW_LOCAL=MAX(MIN(TAUW,TAUWMAX),ZERO) XI = SQRT(TAUW_LOCAL)/DELTAUW IND = MIN ( ITAUMAX-1, INT(XI)) ! index for stress table DELI1 = MIN(ONE,XI - MyREAL(IND)) !interpolation coefficient for stress table DELI2 = ONE - DELI1 XJ = WINDSPEED/DELU XJ = WINDSPEED/MAX(THR,DELU) J = MIN ( JUMAX-1, INT(XJ) ) DELJ1 = MIN(ONE,XJ - MyREAL(J)) DELJ2 = ONE - DELJ1 USTAR=(TAUT(IND,J)*DELI2+TAUT(IND+1,J )*DELI1)*DELJ2 & & + (TAUT(IND,J+1)*DELI2+TAUT(IND+1,J+1)*DELI1)*DELJ1 ! ! Determines roughness length ! SQRTCDM1 = MIN(WINDSPEED/MAX(0.001,USTAR),100.0) Z0 = ZZWND*EXP(-KAPPA*SQRTCDM1) !AR: Here we need to start debugging ... IF (USTAR.GT.0.001_rkind) THEN CHARN = G9*Z0/USTAR**2 ELSE CHARN = AALPHA END IF ! write(DBG%FHNDL,*) z0, ustar, windspeed ! RETURN END SUBROUTINE CALC_USTAR !/ ------------------------------------------------------------------- / SUBROUTINE W3SDS4(A, K, CG, USTAR, USDIR, DEPTH, S, D, BRLAMBDA, WHITECAP) !/ +-----------------------------------+ !/ | WAVEWATCH III NOAA/NCEP | !/ ! F. Ardhuin ! !/ | FORTRAN 90 | !/ | Last update : 13-Nov-2013 | !/ +-----------------------------------+ !/ !/ 30-Aug-2010 : Clean up from common ST3-ST4 routine( version 3.14-Ifremer ) !/ ! 1. Purpose : ! ! Calculate whitecapping source term and diagonal term of derivative. ! ! 2. Method : ! ! Ardhuin et al. (JPO 2009) and Filipot & Ardhuin (OM, submitted) ! ! 3. Parameters : ! ! Parameter list ! ---------------------------------------------------------------- ! A R.A. I Action density spectrum (1-D). ! K R.A. I Wavenumber for entire spectrum. *) ! USTAR Real I Friction velocity. ! USDIR Real I wind stress direction. ! DEPTH Real I Water depth. ! S R.A. O Source term (1-D version). ! D R.A. O Diagonal term of derivative. *) ! BRLAMBDA R.A. O Phillips' Lambdas ! ---------------------------------------------------------------- ! *) Stored in 1-D array with dimension NTH*NK ! ! 4. Subroutines used : ! ! STRACE Subroutine tracing. ( !/S switch ) ! PRT2DS Print plot of spectrum. ( !/T0 switch ) ! OUTMAT Print out matrix. ( !/T1 switch ) ! ! 5. Called by : ! ! W3SRCE Source term integration. ! W3EXPO Point output program. ! GXEXPO GrADS point output program. ! ! 6. Error messages : ! ! 7. Remarks : ! ! 8. Structure : ! ! See source code. ! ! 9. Switches : ! ! !/S Enable subroutine tracing. ! !/T Enable general test output. ! !/T0 2-D print plot of source term. ! !/T1 Print arrays. ! ! 10. Source code : ! !/ ------------------------------------------------------------------- / USE DATAPOOL, ONLY : ICOMP, INVPI2, G9, RHOW, RHOA, RADDEG, & & PI2, RKIND, NSPEC, ZERO, ONE, ZERO, THR8 ! IMPLICIT NONE !/ !/ ------------------------------------------------------------------- / !/ Parameter list !/ REAL(rkind), INTENT(IN) :: A(NSPEC), K(NK), CG(NK) REAL(rkind), INTENT(IN) :: DEPTH, USTAR, USDIR REAL(rkind), INTENT(OUT) :: S(NSPEC), D(NSPEC), BRLAMBDA(NSPEC) REAL(rkind), INTENT(OUT) :: WHITECAP(1:4) !/ !/ ------------------------------------------------------------------- / !/ Local parameters !/ INTEGER :: IS, IS2, IS0, IS20, IA, J, IKL, ITOT, NTOT, ID, NKL, IO !/S INTEGER, SAVE :: IENT = 0 INTEGER :: IK, IK1, ITH, I_INT, IK2, ITH2, IKIND, L, & IKHS, IKD, SDSNTH, IT INTEGER :: NSMOOTH(NK) REAL(rkind) :: FACTOR, COSWIND, ASUM, SDIAGISO REAL(rkind) :: COEF1, COEF2, COEF3, COEF4(NK) REAL(rkind) :: ALFAMEAN, KB, MSSLONG(NK) REAL(rkind) :: FACTURB, DTURB, DCUMULATIVE, BREAKFRACTION REAL(rkind) :: RENEWALFREQ, EPSR REAL(rkind) :: NTIMES(NK), S1(NK), E1(NK) REAL(rkind) :: GAM, XT, M1 REAL(rkind) :: DK(NK), HS(NK), KBAR(NK), DCK(NK) REAL(rkind) :: EFDF(NK) ! Energy integrated over a spectral band INTEGER :: IKSUP(NK) REAL(rkind) :: Q1(NK) REAL(rkind) :: SSDS(NSPEC) REAL(rkind) :: FACSAT, DKHS, FACSTRAIN REAL(rkind) :: BTH0(NK) !saturation spectrum REAL(rkind) :: BTH(NSPEC) !saturation spectrum REAL(rkind) :: BTH0S(NK) !smoothed saturation spectrum REAL(rkind) :: BTHS(NSPEC) !smoothed saturation spectrum REAL(rkind) :: W, MICHE, X !/T0 REAL :: DOUT(NK,NTH) REAL(rkind) :: QB(NK), S2(NK), KD, DC(NK) REAL(rkind) :: TSTR, TMAX, DT, T, MFT REAL(rkind) :: PB(NSPEC), PB2(NSPEC), LAMBDA(NSPEC) LOGICAL :: MASK(NSPEC) !/ !/ ------------------------------------------------------------------- / !/ !/S CALL STRACE (IENT, 'W3SDS4') ! ! !---------------------------------------------------------------------- ! ! 1. Initialization and numerical factors ! !2do ... take care with SSDSC(5) FACTURB=SSDSC(5)*USTAR**2/G9*RHOA/RHOW BREAKFRACTION=ZERO RENEWALFREQ=ZERO IK1 = 1 ! ! 2. Estimation of spontaneous breaking ! IF ( (SSDSBCK-SSDSC(1)).LE.0 ) THEN ! ! 2.a Case of a direction-dependent breaking term (TEST441) ! S = ZERO D = ZERO PB = ZERO EPSR=SQRT(SSDSBR) ! ! 2.a.1 Computes saturation ! SDSNTH = MIN(NINT(SSDSDTH/(DTH*RADDEG)),NTH/2-1) MSSLONG(:) = 0. ! SSDSDIK is the integer difference in frequency bands ! between the "large breakers" and short "wiped-out waves" ! DO IK=IK1, NK FACSTRAIN=1+SSDSC(8)*MSSLONG(MAX(1,IK-DIKCUMUL)) FACSAT=SIG(IK)*K(IK)**3*DTH*FACSTRAIN IS0=(IK-1)*NTH BTH(IS0+1)=0. ! BTH0(IK)=SUM(A(IS0+1:IS0+NTH))*FACSAT ! Testing straining effect of long waves on short waves ! From Longuet-Higgins and Stewart (1963) the amplitude modulation ! in deep water is equal to the long wave slope k*a ! Here we assume that the saturation is likewise modulated by a factor (ka)^2 ASUM = SUM(A(IS0+1:IS0+NTH)) MSSLONG(IK:NK) = MSSLONG(IK:NK) + K(IK)**2 * & ASUM * DDEN(IK) / CG(IK) BTH0(IK)=ASUM*FACSAT !WRITE(6,*) 'SDS IK:',IK,ASUM,MSSLONG(IK),BTH0(IK),FACSTRAIN IF (SSDSDTH.GE.180) THEN ! integrates around full circle BTH(IS0+1:IS0+NTH)=BTH0(IK) ELSE DO ITH=1,NTH ! partial integration IS=ITH+(IK-1)*NTH BTH(IS)=DOT_PRODUCT(SATWEIGHTS(:,ITH), & A(IS0+SATINDICES(:,ITH)) )*FACSAT ! BTH(IS)=SUM( SATWEIGHTS(:,ITH)* & ! A(IS0+SATINDICES(:,ITH)) )*FACSAT END DO IF (SSDSISO.EQ.1) THEN BTH0(IK)=SUM(A(IS0+1:IS0+NTH))*FACSAT ELSE BTH0(IK)=MAXVAL(BTH(IS0+1:IS0+NTH)) END IF END IF END DO !WRITE(DBG%FHNDL,*) 'FACSAT', FACSAT !WRITE(DBG%FHNDL,*) 'SATWEIGHTS', SATWEIGHTS !WRITE(DBG%FHNDL,*) 'SATINDICES', SATINDICES !WRITE(DBG%FHNDL,*) 'SUMS', SUM(BTH), SUM(BTH0), SUM(A) ! ! Optional smooting of B and B0 over frequencies ! IF ((SSDSBRFDF.GT.ZERO).AND.(SSDSBRFDF.LT.NK/2)) THEN BTH0S(:)=BTH0(:) BTHS(:)=BTH(:) NSMOOTH(:)=1 DO IK=1, SSDSBRFDF BTH0S(1+SSDSBRFDF)=BTH0S(1+SSDSBRFDF)+BTH0(IK) NSMOOTH(1+SSDSBRFDF)=NSMOOTH(1+SSDSBRFDF)+1 DO ITH=1,NTH IS=ITH+(IK-1)*NTH BTHS(ITH+SSDSBRFDF*NTH)=BTHS(ITH+SSDSBRFDF*NTH)+BTH(IS) END DO END DO DO IK=IK1+1+SSDSBRFDF,1+2*SSDSBRFDF BTH0S(1+SSDSBRFDF)=BTH0S(1+SSDSBRFDF)+BTH0(IK) NSMOOTH(1+SSDSBRFDF)=NSMOOTH(1+SSDSBRFDF)+1 DO ITH=1,NTH IS=ITH+(IK-1)*NTH BTHS(ITH+SSDSBRFDF*NTH)=BTHS(ITH+SSDSBRFDF*NTH)+BTH(IS) END DO END DO DO IK=SSDSBRFDF,IK1,-1 BTH0S(IK)=BTH0S(IK+1)-BTH0(IK+SSDSBRFDF+1) NSMOOTH(IK)=NSMOOTH(IK+1)-1 DO ITH=1,NTH IS=ITH+(IK-1)*NTH BTHS(IS)=BTHS(IS+NTH)-BTH(IS+(SSDSBRFDF+1)*NTH) END DO END DO ! DO IK=IK1+1+SSDSBRFDF,NK-SSDSBRFDF BTH0S(IK)=BTH0S(IK-1)-BTH0(IK-SSDSBRFDF-1)+BTH0(IK+SSDSBRFDF) NSMOOTH(IK)=NSMOOTH(IK-1) DO ITH=1,NTH IS=ITH+(IK-1)*NTH BTHS(IS)=BTHS(IS-NTH)-BTH(IS-(SSDSBRFDF+1)*NTH)+BTH(IS+(SSDSBRFDF)*NTH) END DO END DO ! DO IK=NK-SSDSBRFDF+1,NK BTH0S(IK)=BTH0S(IK-1)-BTH0(IK-SSDSBRFDF) NSMOOTH(IK)=NSMOOTH(IK-1)-1 DO ITH=1,NTH IS=ITH+(IK-1)*NTH BTHS(IS)=BTHS(IS-NTH)-BTH(IS-(SSDSBRFDF+1)*NTH) END DO END DO ! ! final division by NSMOOTH ! BTH0(:)=MAX(0.,BTH0S(:)/NSMOOTH(:)) DO IK=IK1,NK IS0=(IK-1)*NTH BTH(IS0+1:IS0+NTH)=MAX(0.,BTHS(IS0+1:IS0+NTH)/NSMOOTH(IK)) END DO END IF ! SMOOTH ! ! 2.a.2 Computes spontaneous breaking dissipation rate ! DO IK=IK1, NK ! ! Correction of saturation level for shallow-water kinematics ! IF (SSDSBM(0).EQ.1) THEN MICHE=ONE ELSE X=TANH(MIN(K(IK)*DEPTH,10.)) MICHE=(X*(SSDSBM(1)+X*(SSDSBM(2)+X*(SSDSBM(3)+X*SSDSBM(4)))))**2 ! Correction of saturation level for shallow-water kinematics END IF COEF1=(SSDSBR*MICHE) ! ! Computes isotropic part ! SDIAGISO = SSDSC(2) * SIG(IK)*SSDSC(6)* & & (MAX(ZERO,BTH0(IK)/COEF1-ONE))**2 ! ! Computes anisotropic part and sums isotropic part ! COEF2=SSDSC(2) * SIG(IK)*(1-SSDSC(6))/(COEF1*COEF1) COEF3=-2.*SIG(IK)*K(IK)*FACTURB D((IK-1)*NTH+1:IK*NTH) = SDIAGISO + & COEF2*((MAX(0.,BTH((IK-1)*NTH+1:IK*NTH)-COEF1))**SSDSP) END DO ! ! Computes Breaking probability ! PB = (MAX(SQRT(BTH)-EPSR,0.))**2 ! ! Multiplies by 28.16 = 22.0 * 1.6² * 1/2 with ! 22.0 (Banner & al. 2000, figure 6) ! 1.6 the coefficient that transforms SQRT(B) to Banner et al. (2000)'s epsilon ! 1/2 factor to correct overestimation of Banner et al. (2000)'s breaking probability due to zero-crossing analysis ! PB = PB * 28.16 !/ END IF ! End of test for (Ardhuin et al. 2010)'s spontaneous dissipation source term ! ! 2.b Computes spontaneous breaking for T500 ////////////// ! IF (SSDSBCK.GT.0) THEN ! test for (Filipot et al. 2010)'s disspation source term E1 =0. HS =0. S =0. D =0. PB2=0. ! ! Computes Wavenumber spectrum E1 integrated over direction and computes dk ! DO IK=IK1, NK E1(IK)=0. DO ITH=1,NTH IS=ITH+(IK-1)*NTH E1(IK)=E1(IK)+(A(IS)*SIG(IK))*DTH END DO DK(IK)=DDEN(IK)/(DTH*SIG(IK)*CG(IK)) END DO ! ! Gets windows indices of IKTAB ! ID=MIN(NINT(DEPTH),NDTAB) IF (ID < 1) THEN ID = 1 ELSE IF(ID > NDTAB) THEN ID = NDTAB END IF ! ! loop over wave scales ! HS=ZERO EFDF=ZERO KBAR=ZERO EFDF=ZERO NKL=0 !number of windows DO IKL=1,NK IKSUP(IKL)=IKTAB(IKL,ID) IF (IKSUP(IKL) .LE. NK) THEN EFDF(IKL) = DOT_PRODUCT(E1(IKL:IKSUP(IKL)-1),DK(IKL:IKSUP(IKL)-1)) IF (EFDF(IKL) .NE. 0) THEN KBAR(IKL) = DOT_PRODUCT(K(IKL:IKSUP(IKL)-1)*E1(IKL:IKSUP(IKL)-1), & DK(IKL:IKSUP(IKL)-1)) / EFDF(IKL) ELSE KBAR(IKL)=0. END IF ! estimation of Significant wave height of a given scale HS(IKL) = 4*SQRT(EFDF(IKL)) NKL = NKL+1 END IF END DO ! ! Computes Dissipation and breaking probability in each scale ! DCK=0. QB =0. DKHS = KHSMAX/NKHS DO IKL=1, NKL IF (HS(IKL) .NE. 0. .AND. KBAR(IKL) .NE. 0.) THEN ! ! gets indices for tabulated dissipation DCKI and breaking probability QBI ! IKD = FAC_KD2+ANINT(LOG(KBAR(IKL)*DEPTH)/LOG(FAC_KD1)) IKHS= 1+ANINT(KBAR(IKL)*HS(IKL)/DKHS) IF (IKD > NKD) THEN ! Deep water IKD = NKD ELSE IF (IKD < 1) THEN ! Shallow water IKD = 1 END IF IF (IKHS > NKHS) THEN IKHS = NKHS ELSE IF (IKHS < 1) THEN IKHS = 1 END IF XT = MyTANH(KBAR(IKL)*DEPTH) ! ! Gamma corrected for water depth ! GAM=1.0314_rkind*(XT**3)-1.9958_rkind*(XT**2)+ & & 1.5522_rkind*XT+0.1885_rkind ! ! Computes the energy dissipated for the scale IKL ! using DCKI which is tabulated in INSIN4 ! DCK(IKL)=((KBAR(IKL)**(-2.5_rkind))*(KBAR(IKL)/(2*PI)))* & & DCKI(IKHS,IKD) ! ! Get the breaking probability for the scale IKL ! QB(IKL) = QBI(IKHS,IKD) ! QBI is tabulated in INSIN4 ELSE DCK(IKL)=0. QB(IKL) =0. END IF END DO ! ! Distributes scale dissipation over the frequency spectrum ! S1 = 0. S2 = 0. NTIMES = 0. DO IKL=1, NKL IF (EFDF(IKL) .GT. 0.) THEN S1(IKL:IKSUP(IKL)) = S1(IKL:IKSUP(IKL)) + & DCK(IKL)*E1(IKL:IKSUP(IKL)) / EFDF(IKL) S2(IKL:IKSUP(IKL)) = S2(IKL:IKSUP(IKL)) + & QB(IKL) *E1(IKL:IKSUP(IKL)) / EFDF(IKL) NTIMES(IKL:IKSUP(IKL)) = NTIMES(IKL:IKSUP(IKL)) + 1 END IF END DO ! ! Finish the average ! WHERE (NTIMES .NE. 0.) S1 = S1 / NTIMES S2 = S2 / NTIMES ELSEWHERE S1 = 0. S2 = 0. END WHERE S1 = S1 / SIG ! goes back to action for dissipation source term ! ! Makes Isotropic distribution ! ASUM = ZERO DO IK = 1, NK ASUM = (SUM(A(((IK-1)*NTH+1):(IK*NTH)))*DTH) IF (ASUM.GT.1.E-8_rkind) THEN FORALL (IS=1+(IK-1)*NTH:IK*NTH) D(IS) = S1(IK)/ASUM FORALL (IS=1+(IK-1)*NTH:IK*NTH) PB2(IS) = S2(IK)/ASUM ELSE FORALL (IS=1+(IK-1)*NTH:IK*NTH) D(IS) = ZERO FORALL (IS=1+(IK-1)*NTH:IK*NTH) PB2(IS) = ZERO END IF IF (PB2(1+(IK-1)*NTH).GT.0.001_rkind) THEN BTH0(IK) = 2._rkind*SSDSBR ELSE BTH0(IK) = ZERO END IF END DO ! PB = (1-SSDSC(1))*PB2*A + SSDSC(1)*PB ! END IF ! END OF TEST ON SSDSBCK ! ! ! ! 3. Computes Lambda from breaking probability ! ! Compute Lambda = PB* l(k,th) ! with l(k,th)=1/(2*pi²)= the breaking crest density ! BRLAMBDA = PB / (2.*PI**2.) ! !/ ------------------------------------------------------------------- / ! WAVE-TURBULENCE INTERACTION AND CUMULATIVE EFFECT !/ ------------------------------------------------------------------- / ! ! ! loop over spectrum ! DO IK=IK1, NK DO ITH=1,NTH IS=ITH+(IK-1)*NTH ! ! Computes cumulative effect from Breaking probability ! RENEWALFREQ = 0. IF (SSDSC(3).NE.0 .AND. IK.GT.DIKCUMUL) THEN DO IK2=IK1,IK-DIKCUMUL IF (BTH0(IK2).GT.SSDSBR) THEN IS2=(IK2-1)*NTH RENEWALFREQ=RENEWALFREQ+DOT_PRODUCT(CUMULW(IS2+1:IS2+NTH,IS),BRLAMBDA(IS2+1:IS2+NTH)) !DO ITH2=1,NTH ! IS2=ITH2+(IK2-1)*NTH ! RENEWALFREQ=RENEWALFREQ+CUMULW(IS2,IS)*BRLAMBDA(IS2) ! END DO END IF END DO END IF ! ! Computes wave turbulence interaction ! COSWIND=(ECOS(IS)*MyCOS(USDIR)+ESIN(IS)*MySIN(USDIR)) DTURB=-2.*SIG(IK)*K(IK)*FACTURB*COSWIND ! Theory -> stress direction ! ! Add effects ! SSDS(IS) = (SSDSC(3)*RENEWALFREQ+DTURB) !WRITE(DBG%FHNDL,*) 'TURBULENCE', IS, D(IS), (SSDSC(3)*RENEWALFREQ+DTURB) END DO END DO ! !/ ------------------------------------------------------------------- / ! COMPUTES SOURCES TERM ! IMATRAIMATDA !/ ------------------------------------------------------------------- / ! IF (ICOMP .LT. 2) THEN S = (SSDS + D) * A D = D + SSDS ! ELSE ! D = D - SSDS ! ENDIF ! !/ ------------------------------------------------------------------- / ! COMPUTES WHITECAP PARAMETERS !/ ------------------------------------------------------------------- / ! ! IF ( .NOT. (FLOGRD(5,7).OR.FLOGRD(5,8) ) ) THEN ! RETURN ! END IF !/ WHITECAP(1:2) = 0. ! ! precomputes integration of Lambda over direction ! times wavelength times a (a=5 in Reul&Chapron JGR 2003) times dk ! DO IK=1,NK COEF4(IK) = SUM(BRLAMBDA((IK-1)*NTH+1:IK*NTH) * DTH) *(2*PI/K(IK)) * & SSDSC(7) * DDEN(IK)/(DTH*SIG(IK)*CG(IK)) ! NB: SSDSC(7) is WHITECAPWIDTH END DO !/ IF ( .FALSE. ) THEN !/ !/ Computes the Total WhiteCap Coverage (a=5. ; Reul and Chapron, 2003) !/ DO IK=IK1,NK WHITECAP(1) = WHITECAP(1) + COEF4(IK) * (1-WHITECAP(1)) END DO END IF !/ IF ( .FALSE. ) THEN !/ !/ Calculates the Mean Foam Thickness for component K(IK) => Fig.3, Reul and Chapron, 2003 !/ DO IK=IK1,NK ! Duration of active breaking (TAU*) TSTR = 0.8 * 2*PI/SIG(IK) ! Time persistence of foam (a=5.) TMAX = 5. * 2*PI/SIG(IK) DT = TMAX / 50 MFT = 0. DO IT = 1, 50 ! integration over time of foam persistance T = FLOAT(IT) * DT ! Eq. 5 and 6 of Reul and Chapron, 2003 IF ( T .LT. TSTR ) THEN MFT = MFT + 0.4 / (K(IK)*TSTR) * T * DT ELSE MFT = MFT + 0.4 / K(IK) * EXP(-1*(T-TSTR)/3.8) * DT END IF END DO MFT = MFT / TMAX ! ! Computes foam-layer thickness (Reul and Chapron, 2003) ! WHITECAP(2) = WHITECAP(2) + COEF4(IK) * MFT END DO END IF ! ! End of output computing ! RETURN ! ! Formats ! !/ !/ End of W3SDS4 ----------------------------------------------------- / !/ END SUBROUTINE W3SDS4 END MODULE W3SRC4MD