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C $Header: /u/gcmpack/MITgcm/model/src/timestep.F,v 1.51 2010/01/23 00:04:03 jmc Exp $ |
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C $Name: $ |
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|
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#include "PACKAGES_CONFIG.h" |
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#include "CPP_OPTIONS.h" |
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#ifdef ALLOW_CD_CODE |
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#include "CD_CODE_OPTIONS.h" |
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#endif |
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|
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CBOP |
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C !ROUTINE: TIMESTEP |
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C !INTERFACE: |
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SUBROUTINE TIMESTEP( bi, bj, iMin, iMax, jMin, jMax, k, |
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I dPhiHydX,dPhiHydY, phiSurfX, phiSurfY, |
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I guDissip, gvDissip, |
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I myTime, myIter, myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | S/R TIMESTEP |
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C | o Step model fields forward in time |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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C == Global variables == |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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#include "SURFACE.h" |
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#include "RESTART.h" |
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#include "DYNVARS.h" |
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#ifdef ALLOW_NONHYDROSTATIC |
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#include "NH_VARS.h" |
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#endif |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine Arguments == |
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C dPhiHydX,Y :: Gradient (X & Y directions) of Hydrostatic Potential |
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C phiSurfX :: gradient of Surface potential (Pressure/rho, ocean) |
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C phiSurfY :: or geopotential (atmos) in X and Y direction |
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C guDissip :: dissipation tendency (all explicit terms), u component |
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C gvDissip :: dissipation tendency (all explicit terms), v component |
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|
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
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INTEGER k |
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_RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL phiSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL phiSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL guDissip(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL gvDissip(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL myTime |
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INTEGER myIter, myThid |
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|
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C !LOCAL VARIABLES: |
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C == Local variables == |
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INTEGER i,j |
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_RL phxFac,phyFac, psFac |
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_RL gUtmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL gVtmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#ifdef ALLOW_NONHYDROSTATIC |
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_RL nhFac |
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#endif |
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#ifdef ALLOW_DIAGNOSTICS |
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C Allow diagnosis of external forcing |
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LOGICAL DIAGNOSTICS_IS_ON |
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EXTERNAL DIAGNOSTICS_IS_ON |
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#endif |
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LOGICAL externForcDiagIsOn |
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#if (defined ALLOW_DIAGNOSTICS) || (defined CD_CODE_NO_AB_MOMENTUM) |
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_RL gUext(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL gVext(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#endif |
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#ifdef ALLOW_CD_CODE |
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_RL guCor(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL gvCor(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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#endif |
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CEOP |
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|
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C-- explicit part of the surface potential gradient is added in this S/R |
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psFac = pfFacMom*(1. _d 0 - implicSurfPress) |
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& *recip_deepFacC(k)*recip_rhoFacC(k) |
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|
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C-- factors for gradient (X & Y directions) of Hydrostatic Potential |
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phxFac = pfFacMom |
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phyFac = pfFacMom |
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|
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externForcDiagIsOn = useDiagnostics .AND. momForcing |
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#ifdef ALLOW_DIAGNOSTICS |
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IF ( externForcDiagIsOn ) THEN |
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externForcDiagIsOn = DIAGNOSTICS_IS_ON('Um_Ext ',myThid) |
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& .OR. DIAGNOSTICS_IS_ON('Vm_Ext ',myThid) |
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ENDIF |
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#endif /* ALLOW_DIAGNOSTICS */ |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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C- Initialize local arrays (not really necessary but safer) |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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gUtmp(i,j) = 0. _d 0 |
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gVtmp(i,j) = 0. _d 0 |
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#ifdef ALLOW_CD_CODE |
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guCor(i,j) = 0. _d 0 |
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gvCor(i,j) = 0. _d 0 |
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#endif |
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ENDDO |
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ENDDO |
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|
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IF ( .NOT.staggerTimeStep .AND. .NOT. implicitIntGravWave ) THEN |
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C-- Synchronous time step: add grad Phi_Hyp to gU,gV before doing Adams-Bashforth |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) - phxFac*dPhiHydX(i,j) |
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gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) - phyFac*dPhiHydY(i,j) |
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ENDDO |
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ENDDO |
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phxFac = 0. |
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phyFac = 0. |
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c ELSE |
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C-- Stagger time step: grad Phi_Hyp will be added later |
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ENDIF |
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|
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C-- Dissipation term inside the Adams-Bashforth: |
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IF ( momViscosity .AND. momDissip_In_AB) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) + guDissip(i,j) |
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gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) + gvDissip(i,j) |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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C-- Forcing term inside the Adams-Bashforth: |
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IF ( momForcing .AND. momForcingOutAB.NE.1 ) THEN |
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#ifdef ALLOW_DIAGNOSTICS |
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IF ( externForcDiagIsOn ) THEN |
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DO j=1,sNy+1 |
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DO i=1,sNx+1 |
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gUext(i,j) = gU(i,j,k,bi,bj) |
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gVext(i,j) = gV(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* ALLOW_DIAGNOSTICS */ |
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|
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CALL EXTERNAL_FORCING_U( |
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I iMin,iMax,jMin,jMax,bi,bj,k, |
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I myTime,myThid) |
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CALL EXTERNAL_FORCING_V( |
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I iMin,iMax,jMin,jMax,bi,bj,k, |
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I myTime,myThid) |
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|
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#ifdef ALLOW_DIAGNOSTICS |
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IF ( externForcDiagIsOn ) THEN |
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DO j=1,sNy+1 |
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DO i=1,sNx+1 |
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gUext(i,j) = gU(i,j,k,bi,bj)-gUext(i,j) |
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gVext(i,j) = gV(i,j,k,bi,bj)-gVext(i,j) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* ALLOW_DIAGNOSTICS */ |
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ENDIF |
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|
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#ifdef CD_CODE_NO_AB_MOMENTUM |
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IF (useCDscheme) THEN |
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C- CD-scheme, before doing AB, store gU,Vtmp = gU,V^n (+dissip. +forcing) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gUtmp(i,j) = gU(i,j,k,bi,bj) |
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gVtmp(i,j) = gV(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* CD_CODE_NO_AB_MOMENTUM */ |
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|
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C- Compute effective gU,gV_[n+1/2] terms (including Adams-Bashforth weights) |
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C and save gU,gV_[n] into guNm1,gvNm1 for the next time step. |
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#ifdef ALLOW_ADAMSBASHFORTH_3 |
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CALL ADAMS_BASHFORTH3( |
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I bi, bj, k, |
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U gU, guNm, |
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I mom_StartAB, myIter, myThid ) |
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CALL ADAMS_BASHFORTH3( |
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I bi, bj, k, |
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U gV, gvNm, |
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I mom_StartAB, myIter, myThid ) |
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#else /* ALLOW_ADAMSBASHFORTH_3 */ |
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CALL ADAMS_BASHFORTH2( |
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I bi, bj, k, |
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U gU, guNm1, |
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I mom_StartAB, myIter, myThid ) |
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CALL ADAMS_BASHFORTH2( |
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I bi, bj, k, |
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U gV, gvNm1, |
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I mom_StartAB, myIter, myThid ) |
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#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
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|
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C-- Forcing term outside the Adams-Bashforth: |
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IF ( momForcing .AND. momForcingOutAB.EQ.1 ) THEN |
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|
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#if (defined ALLOW_DIAGNOSTICS) || (defined CD_CODE_NO_AB_MOMENTUM) |
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IF ( externForcDiagIsOn .OR. useCDscheme ) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gUext(i,j) = gU(i,j,k,bi,bj) |
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gVext(i,j) = gV(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* ALLOW_DIAGNOSTICS or CD_CODE_NO_AB_MOMENTUM */ |
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|
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CALL EXTERNAL_FORCING_U( |
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I iMin,iMax,jMin,jMax,bi,bj,k, |
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I myTime,myThid) |
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CALL EXTERNAL_FORCING_V( |
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I iMin,iMax,jMin,jMax,bi,bj,k, |
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I myTime,myThid) |
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|
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#if (defined ALLOW_DIAGNOSTICS) || (defined CD_CODE_NO_AB_MOMENTUM) |
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IF ( externForcDiagIsOn .OR. useCDscheme ) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gUext(i,j) = gU(i,j,k,bi,bj)-gUext(i,j) |
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gVext(i,j) = gV(i,j,k,bi,bj)-gVext(i,j) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* ALLOW_DIAGNOSTICS or CD_CODE_NO_AB_MOMENTUM */ |
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|
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C-- Forcing term outside the Adams-Bashforth: end of if block |
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ENDIF |
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|
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#ifdef ALLOW_CD_CODE |
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IF (useCDscheme) THEN |
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#ifdef CD_CODE_NO_AB_MOMENTUM |
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C- CD-scheme, add forcing to gU,Vtmp = gU,V^n (+ dissip.) |
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IF ( momForcing .AND. momForcingOutAB.EQ.1 ) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gUtmp(i,j) = gUtmp(i,j) + guExt(i,j) |
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gVtmp(i,j) = gVtmp(i,j) + gvExt(i,j) |
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ENDDO |
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ENDDO |
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ENDIF |
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#else /* CD_CODE_NO_AB_MOMENTUM */ |
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C- CD-scheme, store gU,Vtmp = gU,V^n+1/2 (+dissip.) +forcing |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gUtmp(i,j) = gU(i,j,k,bi,bj) |
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gVtmp(i,j) = gV(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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#endif /* CD_CODE_NO_AB_MOMENTUM */ |
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IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
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C- CD-scheme, add dissip. to gU,Vtmp = gU,V + forcing |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gUtmp(i,j) = gUtmp(i,j) + guDissip(i,j) |
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gVtmp(i,j) = gVtmp(i,j) + gvDissip(i,j) |
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ENDDO |
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ENDDO |
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ENDIF |
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C- Step forward D-grid velocity using C-grid gU,Vtmp = gU,V +dissip +forcing |
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C and return coriolis terms on C-grid (guCor,gvCor) |
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CALL CD_CODE_SCHEME( |
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I bi,bj,k, dPhiHydX,dPhiHydY, gUtmp,gVtmp, |
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O guCor,gvCor, |
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I myTime, myIter, myThid) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gUtmp(i,j) = gU(i,j,k,bi,bj) |
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& + guCor(i,j) |
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gVtmp(i,j) = gV(i,j,k,bi,bj) |
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& + gvCor(i,j) |
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ENDDO |
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ENDDO |
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ELSE |
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#endif /* ALLOW_CD_CODE */ |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gUtmp(i,j) = gU(i,j,k,bi,bj) |
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gVtmp(i,j) = gV(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_CD_CODE |
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ENDIF |
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#endif /* ALLOW_CD_CODE */ |
| 292 |
|
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#ifdef NONLIN_FRSURF |
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IF ( .NOT. vectorInvariantMomentum |
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& .AND. nonlinFreeSurf.GT.1 ) THEN |
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IF ( select_rStar.GT.0 ) THEN |
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# ifndef DISABLE_RSTAR_CODE |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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gUtmp(i,j) = gUtmp(i,j)/rStarExpW(i,j,bi,bj) |
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gVtmp(i,j) = gVtmp(i,j)/rStarExpS(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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# endif /* DISABLE_RSTAR_CODE */ |
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ELSEIF ( selectSigmaCoord.NE.0 ) THEN |
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# ifndef DISABLE_SIGMA_CODE |
| 307 |
DO j=jMin,jMax |
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DO i=iMin,iMax |
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gUtmp(i,j) = gUtmp(i,j) |
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& /( 1. _d 0 + dEtaWdt(i,j,bi,bj)*deltaTfreesurf |
| 311 |
& *dBHybSigF(k)*recip_drF(k) |
| 312 |
& *recip_hFacW(i,j,k,bi,bj) |
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& ) |
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gVtmp(i,j) = gVtmp(i,j) |
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& /( 1. _d 0 + dEtaSdt(i,j,bi,bj)*deltaTfreesurf |
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& *dBHybSigF(k)*recip_drF(k) |
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& *recip_hFacS(i,j,k,bi,bj) |
| 318 |
& ) |
| 319 |
ENDDO |
| 320 |
ENDDO |
| 321 |
# endif /* DISABLE_SIGMA_CODE */ |
| 322 |
ELSE |
| 323 |
DO j=jMin,jMax |
| 324 |
DO i=iMin,iMax |
| 325 |
IF ( k.EQ.kSurfW(i,j,bi,bj) ) THEN |
| 326 |
gUtmp(i,j) = gUtmp(i,j) |
| 327 |
& *_hFacW(i,j,k,bi,bj)/hFac_surfW(i,j,bi,bj) |
| 328 |
ENDIF |
| 329 |
IF ( k.EQ.kSurfS(i,j,bi,bj) ) THEN |
| 330 |
gVtmp(i,j) = gVtmp(i,j) |
| 331 |
& *_hFacS(i,j,k,bi,bj)/hFac_surfS(i,j,bi,bj) |
| 332 |
ENDIF |
| 333 |
ENDDO |
| 334 |
ENDDO |
| 335 |
ENDIF |
| 336 |
ENDIF |
| 337 |
#endif /* NONLIN_FRSURF */ |
| 338 |
|
| 339 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 340 |
|
| 341 |
C-- Dissipation term outside the Adams-Bashforth: |
| 342 |
IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
| 343 |
DO j=jMin,jMax |
| 344 |
DO i=iMin,iMax |
| 345 |
gUtmp(i,j) = gUtmp(i,j) + guDissip(i,j) |
| 346 |
gVtmp(i,j) = gVtmp(i,j) + gvDissip(i,j) |
| 347 |
ENDDO |
| 348 |
ENDDO |
| 349 |
ENDIF |
| 350 |
|
| 351 |
#ifdef ALLOW_NONHYDROSTATIC |
| 352 |
C-- explicit part of the NH pressure gradient is added here |
| 353 |
IF ( use3Dsolver .AND. implicitNHPress.NE.1. _d 0 ) THEN |
| 354 |
nhFac = pfFacMom*(1. _d 0 - implicitNHPress) |
| 355 |
& *recip_deepFacC(k)*recip_rhoFacC(k) |
| 356 |
IF ( exactConserv ) THEN |
| 357 |
DO j=jMin,jMax |
| 358 |
DO i=iMin,iMax |
| 359 |
gUtmp(i,j) = gUtmp(i,j) |
| 360 |
& - nhFac*_recip_dxC(i,j,bi,bj)* |
| 361 |
& ( (phi_nh(i,j,k,bi,bj)-phi_nh(i-1,j,k,bi,bj)) |
| 362 |
& -( dPhiNH(i,j,bi,bj) - dPhiNH(i-1,j,bi,bj) ) |
| 363 |
& ) |
| 364 |
gVtmp(i,j) = gVtmp(i,j) |
| 365 |
& - nhFac*_recip_dyC(i,j,bi,bj)* |
| 366 |
& ( (phi_nh(i,j,k,bi,bj)-phi_nh(i,j-1,k,bi,bj)) |
| 367 |
& -( dPhiNH(i,j,bi,bj) - dPhiNH(i,j-1,bi,bj) ) |
| 368 |
& ) |
| 369 |
ENDDO |
| 370 |
ENDDO |
| 371 |
ELSE |
| 372 |
DO j=jMin,jMax |
| 373 |
DO i=iMin,iMax |
| 374 |
gUtmp(i,j) = gUtmp(i,j) |
| 375 |
& - nhFac*_recip_dxC(i,j,bi,bj)* |
| 376 |
& (phi_nh(i,j,k,bi,bj)-phi_nh(i-1,j,k,bi,bj)) |
| 377 |
gVtmp(i,j) = gVtmp(i,j) |
| 378 |
& - nhFac*_recip_dyC(i,j,bi,bj)* |
| 379 |
& (phi_nh(i,j,k,bi,bj)-phi_nh(i,j-1,k,bi,bj)) |
| 380 |
ENDDO |
| 381 |
ENDDO |
| 382 |
ENDIF |
| 383 |
ENDIF |
| 384 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 385 |
|
| 386 |
C Step forward zonal velocity (store in Gu) |
| 387 |
DO j=jMin,jMax |
| 388 |
DO i=iMin,iMax |
| 389 |
gU(i,j,k,bi,bj) = uVel(i,j,k,bi,bj) |
| 390 |
& +deltaTmom*( |
| 391 |
& gUtmp(i,j) |
| 392 |
& - psFac*phiSurfX(i,j) |
| 393 |
& - phxFac*dPhiHydX(i,j) |
| 394 |
& )*_maskW(i,j,k,bi,bj) |
| 395 |
ENDDO |
| 396 |
ENDDO |
| 397 |
|
| 398 |
C Step forward meridional velocity (store in Gv) |
| 399 |
DO j=jMin,jMax |
| 400 |
DO i=iMin,iMax |
| 401 |
gV(i,j,k,bi,bj) = vVel(i,j,k,bi,bj) |
| 402 |
& +deltaTmom*( |
| 403 |
& gVtmp(i,j) |
| 404 |
& - psFac*phiSurfY(i,j) |
| 405 |
& - phyFac*dPhiHydY(i,j) |
| 406 |
& )*_maskS(i,j,k,bi,bj) |
| 407 |
ENDDO |
| 408 |
ENDDO |
| 409 |
|
| 410 |
#ifdef ALLOW_DIAGNOSTICS |
| 411 |
IF ( externForcDiagIsOn ) THEN |
| 412 |
CALL DIAGNOSTICS_FILL( gUext,'Um_Ext ',k,1,2,bi,bj,myThid ) |
| 413 |
CALL DIAGNOSTICS_FILL( gVext,'Vm_Ext ',k,1,2,bi,bj,myThid ) |
| 414 |
ENDIF |
| 415 |
#ifdef ALLOW_CD_CODE |
| 416 |
IF ( useCDscheme .AND. useDiagnostics ) THEN |
| 417 |
CALL DIAGNOSTICS_FILL( guCor,'Um_Cori ',k,1,2,bi,bj,myThid ) |
| 418 |
CALL DIAGNOSTICS_FILL( gvCor,'Vm_Cori ',k,1,2,bi,bj,myThid ) |
| 419 |
ENDIF |
| 420 |
#endif /* ALLOW_CD_CODE */ |
| 421 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 422 |
|
| 423 |
RETURN |
| 424 |
END |
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