SUBROUTINE MEMSLP(TPRES,QPRES,FIPRES)
!
!$$$ SUBPROGRAM DOCUMENTATION BLOCK
! . . .
! SUBROUTINE: MEMSLP MEMBRANE SLP REDUCTION
!
! ABSTRACT: THIS ROUTINE COMPUTES THE SEA LEVEL PRESSURE
! REDUCTION USING THE MESINGER RELAXATION
! METHOD FOR SIGMA COORDINATES.
! A BY-PRODUCT IS THE
! SET OF VALUES FOR THE UNDERGROUND TEMPERATURES
! ON THE SPECIFIED PRESSURE LEVELS
!
! PROGRAM HISTORY LOG:
! 99-09-23 T BLACK - REWRITTEN FROM ROUTINE SLP (ETA
! COORDINATES)
! 02-07-26 H CHUANG - PARALLIZE AND MODIFIED FOR WRF A/C GRIDS
! ALSO REDUCE S.O.R. COEFF FROM 1.75 to 1.25
! BECAUSE THERE WAS NUMERICAL INSTABILITY
! 02-08-21 H CHUANG - MODIFIED TO ALWAYS USE OLD TTV FOR RELAXATION
! SO THAT THERE WAS BIT REPRODUCIBILITY BETWEEN
! USING ONE AND MULTIPLE TASKS
! 11-04-29 H CHUANG - FIX GFS GIBSING BY USING LM-1 STATE VARIABLES
! TO DERIVE SLP HYDROSTATICALLY
! 13-12-06 H CHUANG - REMOVE EXTRA SMOOTHING OF SLP ITSELF
! CHANGES TO AVOID RELAXATION FOR ABOVE G GIBSING
! ARE COMMENTED OUT FOR NOW
!
! USAGE: CALL SLPSIG FROM SUBROUITNE ETA2P
!
! INPUT ARGUMENT LIST:
! PD - SFC PRESSURE MINUS PTOP
! FIS - SURFACE GEOPOTENTIAL
! T - TEMPERATURE
! Q - SPECIFIC HUMIDITY
! FI - GEOPOTENTIAL
! PT - TOP PRESSURE OF DOMAIN
!
! OUTPUT ARGUMENT LIST:
! PSLP - THE FINAL REDUCED SEA LEVEL PRESSURE ARRAY
!
! SUBPROGRAMS CALLED:
! UNIQUE:
! NONE
!
!-----------------------------------------------------------------------
use vrbls3d, only: pint, zint, t, q
use vrbls2d, only: pslp, fis
use masks, only: lmh
use params_mod, only: overrc, ad05, cft0, g, rd, d608, h1, kslpd
use ctlblk_mod, only: jend, jsta, spl, num_procs, mpi_comm_comp, lsmp1, &
jsta_m, jend_m, lm, im, jsta_2l, jend_2u, lsm, jm,&
im_jm
!- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
implicit none
!
INCLUDE "mpif.h"
!-----------------------------------------------------------------------
integer,PARAMETER :: NFILL=0,NRLX1=500,NRLX2=100
real,parameter:: def_of_mountain=2.0
!-----------------------------------------------------------------------
real,dimension(IM,JSTA_2L:JEND_2U,LSM),intent(in) :: QPRES
real,dimension(IM,JSTA_2L:JEND_2U,LSM),intent(inout) :: TPRES,FIPRES
REAL :: TTV(IM,JSTA_2L:JEND_2U),TNEW(IM,JSTA_2L:JEND_2U) &
, P1(IM,JSTA_2L:JEND_2U),HTM2D(IM,JSTA_2L:JEND_2U)
REAL :: HTMO(IM,JSTA_2L:JEND_2U,LSM)
real :: P2,TLYR,GZ1,GZ2,SPLL,PSFC,PCHK,SLOPE,TVRTC,DIS,TVRT,tem
!-----------------------------------------------------------------------
!-----------------------------------------------------------------------
INTEGER :: KMNTM(LSM),IMNT(IM_JM,LSM),JMNT(IM_JM,LSM) &
, LMHO(IM,JSTA_2L:JEND_2U)
INTEGER :: IHE(JM),IHW(JM),IVE(JM),IVW(JM),IHS(JM),IHN(JM)
integer ii,jj,I,J,L,N,LLMH,KM,KS,IHH2,KOUNT,KMN,NRLX,LHMNT, &
LMHIJ,LMAP1,KMM,LP,LXXX,IERR
!-----------------------------------------------------------------------
LOGICAL :: STDRD,DONE(IM,JSTA_2L:JEND_2U)
!-----------------------------------------------------------------------
STDRD = .FALSE.
!-----------------------------------------------------------------------
!***
!*** CALCULATE THE I-INDEX EAST-WEST INCREMENTS
!***
!
ii = IM/2
jj = (JEND-JSTA)/2
DO J=1,JM
IHE(J) = 1
IHW(J) = -1
IHS(J) = -1
IHN(J) = 1
IVE(J) = MOD(J,2)
IVW(J) = IVE(J)-1
ENDDO
! print*,'relaxation coeff= ',OVERRC
!-----------------------------------------------------------------------
!***
!*** INITIALIZE ARRAYS. LOAD SLP ARRAY WITH SURFACE PRESSURE.
!***
!$omp parallel do private(i,j,llmh)
DO J=JSTA,JEND
DO I=1,IM
LLMH = NINT(LMH(I,J))
PSLP(I,J) = PINT(I,J,LLMH+1)
TTV(I,J) = 0.
LMHO(I,J) = 0
DONE(I,J) = .FALSE.
ENDDO
ENDDO
!
!*** CALCULATE SEA LEVEL PRESSURE FOR PROFILES (AND POSSIBLY
!*** FOR POSTING BY POST PROCESSOR).
!
!*** "STDRD" REFERS TO THE "STANDARD" SLP REDUCTION SCHEME.
!
IF(STDRD)GO TO 400
!--------------------------------------------------------------------
!***
!*** CREATE A 3-D "HEIGHT MASK" FOR THE SPECIFIED PRESSURE LEVELS
!*** (1 => ABOVE GROUND) AND A 2-D INDICATOR ARRAY THAT SAYS
!*** WHICH PRESSURE LEVEL IS THE LOWEST ONE ABOVE THE GROUND
!***
DO L=1,LSM
SPLL = SPL(L)
!
!$omp parallel do private(j,i,psfc,pchk)
DO J=JSTA,JEND
DO I=1,IM
PSFC = PSLP(I,J)
PCHK = PSFC
IF(NFILL > 0) THEN
PCHK = PINT(I,J,NINT(LMH(I,J))+1-NFILL)
ENDIF
IF(FIS(I,J) < 1.) PCHK = PSFC
!
IF(SPLL < PCHK) THEN
HTMO(I,J,L) = 1.
ELSE
HTMO(I,J,L) = 0.
IF(L > 1 .AND. HTMO(I,J,L-1) > 0.5) LMHO(I,J) = L-1
ENDIF
IF(L == LSM .AND. HTMO(I,J,L) > 0.5) LMHO(I,J) = LSM
!
! test new idea of filtering above-ground pressure levels for Gibsing
! IF(L.EQ.LSM.AND.HTMO(I,J,L).GT.0.5)THEN
! IF(FIS(I,J)>0.)THEN
! LMHO(I,J)=LSM
! ELSE
! LMHO(I,J)=LSM-2
! HTMO(I,J,LSM)=0.
! HTMO(I,J,LSM-1)=0.
! END IF
! END IF
! if(i.eq.ii.and.j.eq.jj)print*,'Debug: HTMO= ',HTMO(I,J,L)
ENDDO
ENDDO
!
ENDDO
! if(jj.ge.jsta.and.jj.le.jend) print*,'Debug: LMHO=',LMHO(ii,jj)
!--------------------------------------------------------------------
!***
!*** WE REACH THIS LINE IF WE WANT THE MESINGER ETA SLP REDUCTION
!*** BASED ON RELAXATION TEMPERATURES. THE FIRST STEP IS TO
!*** FIND THE HIGHEST LAYER CONTAINING MOUNTAINS.
!***
LHMNT = LSM
DO 210 L=LSM,1,-1
DO J=JSTA,JEND
DO I=1,IM
IF(HTMO(I,J,L) < 0.5) go to 210
ENDDO
ENDDO
LHMNT = L+1
go to 220
210 continue
220 continue
! print*,'Debug in SLP: LHMNT=',LHMNT
if ( num_procs > 1 ) then
CALL MPI_ALLREDUCE &
(LHMNT,LXXX,1,MPI_INTEGER,MPI_MIN,MPI_COMM_COMP,IERR)
LHMNT = LXXX
end if
IF(LHMNT == LSMP1) GO TO 325
! print*,'Debug in SLP: LHMNT A ALLREDUCE=',LHMNT
!***
!*** NOW GATHER THE ADDRESSES OF ALL THE UNDERGROUND POINTS.
!***
!!$omp parallel do private(kmn,kount)
DO L=LHMNT,LSM
KMN = 0
KMNTM(L) = 0
KOUNT = 0
! DO 240 J=JSTA_M2,JEND_M2
DO J=JSTA_M,JEND_M
DO I=2,IM-1
KOUNT = KOUNT + 1
IMNT(KOUNT,L) = 0
JMNT(KOUNT,L) = 0
IF(HTMO(I,J,L) > 0.5) cycle
KMN = KMN + 1
IMNT(KMN,L) = I
JMNT(KMN,L) = J
enddo
enddo
KMNTM(L) = KMN
enddo
!
!
!*** CREATE A TEMPORARY TV ARRAY, AND FOLLOW BY SEQUENTIAL
!*** OVERRELAXATION, DOING NRLX PASSES.
!
! IF(NTSD.EQ.1)THEN
NRLX = NRLX2
! ELSE
! NRLX=NRLX2
! ENDIF
!
!!$omp parallel do private(i,j,ttv,tem,kmma (Can this loop be threaded?))
DO L=LHMNT,LSM
!
!$omp parallel do private(i,j)
DO J=JSTA,JEND
DO I=1,IM
TTV(I,J) = TPRES(I,J,L)
HTM2D(I,J) = HTMO(I,J,L)
! IF(TTV(I,J).lt.150. .and. TTV(I,J).gt.325.0)print* &
! ,'abnormal IC for T relaxation',i,j,TTV(I,J)
enddo
enddo
!
!*** FOR GRID BOXES NEXT TO MOUNTAINS, COMPUTE TV TO USE AS
!*** BOUNDARY CONDITIONS FOR THE RELAXATION UNDERGROUND
!
CALL EXCH(HTM2D(1,JSTA_2L)) !ONLY NEED TO EXCHANGE ONE ROW FOR A/C GRID
! DO J=JSTA_M2,JEND_M2
!$omp parallel do private(i,j,tem)
DO J=JSTA_M,JEND_M
DO I=2,IM-1
!HC IF(HTM2D(I,J,L).GT.0.5.AND.
!HC 1 HTM2D(I+IHW(J),J-1,L)*HTM2D(I+IHE(J),J-1,L)
!HC 2 *HTM2D(I+IHW(J),J+1,L)*HTM2D(I+IHE(J),J+1,L)
!HC 3 *HTM2D(I-1 ,J ,L)*HTM2D(I+1 ,J ,L)
!HC 4 *HTM2D(I ,J-2,L)*HTM2D(I ,J+2,L).LT.0.5)THEN
!HC MODIFICATION FOR C AND A GRIDS
tem = HTM2D(I-1,J)*HTM2D(I+1,J)*HTM2D(I,J-1)*HTM2D(I,J+1) &
* HTM2D(I-1,J-1)*HTM2D(I+1,J-1)*HTM2D(I-1,J+1)*HTM2D(I+1,J+1)
IF(HTM2D(I,J) > 0.5 .AND. tem < 0.5) then
TTV(I,J) = TPRES(I,J,L)*(1.+0.608*QPRES(I,J,L))
ENDIF
! if(i.eq.ii.and.j.eq.jj)print*,'Debug:L,TTV B SMOO= ',l,TTV(I,J)
ENDDO
ENDDO
!
KMM = KMNTM(L)
! print*,'Debug:L,KMM=',L,KMM
!
DO N=1,NRLX
CALL EXCH(TTV(1,JSTA_2L))
!$omp parallel do private(i,j,km)
DO KM=1,KMM
I = IMNT(KM,L)
J = JMNT(KM,L)
!HC TTV(I,J)=AD05*(4.*(TTV(I+IHW(J),J-1)+TTV(I+IHE(J),J-1)
!HC 1 +TTV(I+IHW(J),J+1)+TTV(I+IHE(J),J+1))
!HC 2 +TTV(I-1,J) +TTV(I+1,J)
!HC 3 +TTV(I,J-2) +TTV(I,J+2))
!HC 4 -CFT0*TTV(I,J)
!HC MODIFICATION FOR C AND A GRIDS
! eight point relaxation using updated TTV to the lower and left
! TTV(I,J)=AD05*(4.*(TTV(I-1,J)+TTV(I+1,J)
! 1 +TTV(I,J-1)+TTV(I,J+1))
! 2 +TTV(I-1,J-1)+TTV(I+1,J-1)
! 3 +TTV(I-1,J+1)+TTV(I+1,J+1))
! 4 -CFT0*TTV(I,J)
! eight point relaxation using old TTV
TNEW(I,J) = AD05*(4.*(TTV(I-1,J) +TTV(I+1,J) +TTV(I,J-1) &
+TTV(I,J+1)) +TTV(I-1,J-1) +TTV(I+1,J-1) &
+TTV(I-1,J+1)+TTV(I+1,J+1))-TTV(I,J)*CFT0
! four point relaxation using old TTV
! TNEW(I,J)=TTV(I,J)+1.0*((TTV(I-1,J)+TTV(I+1,J)
! 1 +TTV(I,J-1)+TTV(I,J+1)-4.0*TTV(I,J))/4.0)
! four point relaxation using updated TTV to the lower and left
! TTV(I,J)=TTV(I,J)+1.0*((TTV(I-1,J)+TTV(I+1,J)
! 1 +TTV(I,J-1)+TTV(I,J+1)-4.0*TTV(I,J))/4.0)
!
! if(i.eq.ii.and.j.eq.jj)print*,'Debug: L,TTV A S'
! 1,l,TTV(I,J),N
! 1,l,TNEW(I,J),N
enddo
!
!$omp parallel do private(i,j,km)
DO KM=1,KMM
I = IMNT(KM,L)
J = JMNT(KM,L)
TTV(I,J) = TNEW(I,J)
END DO
END DO ! NRLX loop
!
!$omp parallel do private(i,j,km)
DO KM=1,KMM
I = IMNT(KM,L)
J = JMNT(KM,L)
TPRES(I,J,L) = TTV(I,J)
END DO
enddo ! end of l loop
!----------------------------------------------------------------
!***
!*** CALCULATE THE SEA LEVEL PRESSURE AS PER THE NEW SCHEME.
!*** INTEGRATE THE HYDROSTATIC EQUATION DOWNWARD FROM THE
!*** GROUND THROUGH EACH OUTPUT PRESSURE LEVEL (WHERE TV
!*** IS NOW KNOWN) TO FIND GZ AT THE NEXT MIDPOINT BETWEEN
!*** PRESSURE LEVELS. WHEN GZ=0 IS REACHED, SOLVE FOR THE
!*** PRESSURE.
!***
!
!*** BEFORE APPLYING RELAXATION FOR UNDERGROUND POINTS,
!*** FIRST FIND GRID POINTS AT/NEAR/BELOW SEA LEVEL AND DERIVE
!*** SEA LEVEL PRESSURE TO AVOID MEMBRANE RELAXATION
!*** AT THESE GRID POINTS. E.G. HURRICANE CENTER NEAR COAST
!
KOUNT = 0
DO J=JSTA,JEND
DO I=1,IM
! P1(I,J)=SPL(NINT(LMH(I,J)))
! DONE(I,J)=.FALSE.
IF(ABS(FIS(I,J)) < 1.) THEN
PSLP(I,J) = PINT(I,J,NINT(LMH(I,J))+1)
DONE(I,J) = .TRUE.
KOUNT = KOUNT + 1
! if(i.eq.ii.and.j.eq.jj)print*,'Debug:DONE,PSLP A S1=' &
! ,done(i,j),PSLP(I,J)
ELSE IF(FIS(I,J) < -1.0) THEN
DO L=LM,1,-1
IF(ZINT(I,J,L) > 0.)THEN
! PSLP(I,J)=PINT(I,J,L)/EXP(-ZINT(I,J,L)*G &
! /(RD*T(I,J,L)*(Q(I,J,L)*D608+1.0)))
tem = 0.5*(T(I,J,L)+T(I,J,L-1))*(1.0+0.5*D608*(Q(I,J,L)+Q(I,J,L-1)))
PSLP(I,J) = PINT(I,J,L-1)/EXP(-ZINT(I,J,L-1)*G/(rd*tem))
DONE(I,J) = .TRUE.
! if(i.eq.ii.and.j.eq.jj)print* &
! ,'Debug:DONE,PINT,PSLP A S1=' &
! ,done(i,j),PINT(I,J,L),PSLP(I,J)
exit
END IF
END DO
ENDIF
ENDDO
ENDDO
!
KMM = KMNTM(LSM)
!!$omp parallel do private(gz1,gz2,i,j,lmap1,p1,p2),shared(pslp)
DO 320 KM=1,KMM
I = IMNT(KM,LSM)
J = JMNT(KM,LSM)
IF(DONE(I,J)) cycle
LMHIJ = LMHO(I,J)
GZ1 = FIPRES(I,J,LMHIJ)
P1(I,J) = SPL(LMHIJ)
!
LMAP1 = LMHIJ+1
DO L=LMAP1,LSM
P2 = SPL(L)
TLYR = 0.5*(TPRES(I,J,L)+TPRES(I,J,L-1))
GZ2 = GZ1 + RD*TLYR*LOG(P1(I,J)/P2)
FIPRES(I,J,L) = GZ2
! if(i.eq.ii.and.j.eq.jj)print*,'Debug:L,FI A S2=',L,GZ2
IF(GZ2 <= 0.)THEN
PSLP(I,J) = P1(I,J)/EXP(-GZ1/(RD*TPRES(I,J,L-1)))
! if(i.eq.ii.and.j.eq.jj)print*,'Debug:PSLP A S2=',PSLP(I,J)
DONE(I,J) = .TRUE.
KOUNT = KOUNT + 1
go to 320
ENDIF
P1(I,J) = P2
GZ1 = GZ2
ENDDO
!HC EXPERIMENT
LP = LSM
SLOPE = -6.6E-4
TLYR = TPRES(I,J,LP)-0.5*FIPRES(I,J,LP)*SLOPE
PSLP(I,J) = spl(lp)/EXP(-FIPRES(I,J,LP)/(RD*TLYR))
DONE(I,J) = .TRUE.
! if(i.eq.ii.and.j.eq.jj)print*,'Debug:spl,FI,TLYR,PSLPA3=' &
! ,spl(lp),FIPRES(I,J,LP),TLYR,PSLP(I,J)
!HC EXPERIMENT
320 CONTINUE
!
!*** WHEN SEA LEVEL IS BELOW THE LOWEST OUTPUT PRESSURE LEVEL,
!*** SOLVE THE HYDROSTATIC EQUATION BY CHOOSING A TEMPERATURE
!*** AT THE MIDPOINT OF THE LAYER BETWEEN THAT LOWEST PRESSURE
!*** LEVEL AND THE GROUND BY EXTRAPOLATING DOWNWARD FROM T ON
!*** THE LOWEST PRESSURE LEVEL USING THE DT/DFI BETWEEN THE
!*** LOWEST PRESSURE LEVEL AND THE ONE ABOVE IT.
!
! TOTAL=(IM-2)*(JM-4)
!
!HC DO 340 LP=LSM,1,-1
! IF(KOUNT.EQ.TOTAL)GO TO 350
!HC MODIFICATION FOR SMALL HILL HIGH PRESSURE SITUATION
!HC IF SURFACE PRESSURE IS CLOSER TO SEA LEVEL THAN LWOEST
!HC OUTPUT PRESSURE LEVEL, USE SURFACE PRESSURE TO DO EXTRAPOLATION
325 CONTINUE
LP = LSM
DO J=JSTA,JEND
DO I=1,IM
! if(i.eq.ii.and.j.eq.jj)print*,'Debug: with 330 loop'
IF(DONE(I,J)) cycle
! if(i.eq.ii.and.j.eq.jj)print*,'Debug: still within 330 loop'
!HC Comment out the following line for situation with terrain
!HC at boundary (ie FIPRES<0)
!HC because they were not counted as undergound point for 8 pt
!HC relaxation
!HC IF(FIPRES(I,J,LP).LT.0.)GO TO 330
! IF(FIPRES(I,J,LP).LT.0.)THEN
! DO LP=LSM,1,-1
! IF (FIPRES(I,J) .LE. 0)
! IF(FIPRES(I,J,LP).LT.0..OR.DONE(I,J))GO TO 330
! SLOPE=(TPRES(I,J,LP)-TPRES(I,J,LP-1))
! & /(FIPRES(I,J,LP)-FIPRES(I,J,LP-1))
SLOPE = -6.6E-4
IF(PINT(I,J,NINT(LMH(I,J))+1) > SPL(LP))THEN
LLMH = NINT(LMH(I,J))
TVRT = T(I,J,LLMH)*(H1+D608*Q(I,J,LLMH))
DIS = ZINT(I,J,LLMH+1)-ZINT(I,J,LLMH)+0.5*ZINT(I,J,LLMH+1)
TLYR = TVRT-DIS*G*SLOPE
PSLP(I,J) = PINT(I,J,LLMH+1)*EXP(ZINT(I,J,LLMH+1)*G &
/(RD*TLYR))
! if(i.eq.ii.and.j.eq.jj)print*,'Debug:PSFC,zsfc,TLYR,PSLPA3='
! 1,PINT(I,J,LLMH+1),ZINT(I,J,LLMH+1),TLYR,PSLP(I,J)
ELSE
TLYR=TPRES(I,J,LP)-0.5*FIPRES(I,J,LP)*SLOPE
PSLP(I,J)=spl(lp)/EXP(-FIPRES(I,J,LP)/(RD*TLYR))
! if(i.eq.ii.and.j.eq.jj)print*,'Debug:spl,FI,TLYR,PSLPA3=' &
! ,spl(lp),FIPRES(I,J,LP),TLYR,PSLP(I,J)
END IF
DONE(I,J) = .TRUE.
KOUNT = KOUNT + 1
enddo
enddo
!HC 340 CONTINUE
!
! 350 CONTINUE
!--------------------------------------------------------------------
! SKIP THE STANDARD SCHEME.
!--------------------------------------------------------------------
! GO TO 430
!--------------------------------------------------------------------
!***
!*** IF YOU WANT THE "STANDARD" ETA/SIGMA REDUCTION
!*** THIS IS WHERE IT IS DONE.
!***
400 CONTINUE
!
!****************************************************************
! AT THIS POINT WE HAVE A SEA LEVEL PRESSURE FIELD BY
! EITHER METHOD. 5-POINT AVERAGE THE FIELD ON THE E-GRID.
!****************************************************************
!
! 430 CONTINUE
RETURN
END