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C $Header$ |
C $Header$ |
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C $Name$ |
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#include "PACKAGES_CONFIG.h" |
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#include "CPP_OPTIONS.h" |
#include "CPP_OPTIONS.h" |
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CStartOfInterFace |
CBOP |
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C !ROUTINE: CALC_GS |
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C !INTERFACE: |
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SUBROUTINE CALC_GS( |
SUBROUTINE CALC_GS( |
11 |
I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
12 |
I xA,yA,uTrans,vTrans,rTrans,maskup,maskC, |
I xA,yA,uTrans,vTrans,rTrans,rTransKp1,maskUp, |
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I K13,K23,KappaRS,KapGM, |
I KappaRS, |
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U af,df,fZon,fMer,fVerS, |
U fVerS, |
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I myCurrentTime, myThid ) |
I myTime,myIter,myThid ) |
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C /==========================================================\ |
C !DESCRIPTION: \bv |
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C | SUBROUTINE CALC_GS | |
C *==========================================================* |
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C | o Calculate the salt tendency terms. | |
C | SUBROUTINE CALC_GS |
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C |==========================================================| |
C | o Calculate the salt tendency terms. |
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C | A procedure called EXTERNAL_FORCING_S is called from | |
C *==========================================================* |
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C | here. These procedures can be used to add per problem | |
C | A procedure called EXTERNAL_FORCING_S is called from |
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C | E-P flux source terms. | |
C | here. These procedures can be used to add per problem |
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C | Note: Although it is slightly counter-intuitive the | |
C | E-P flux source terms. |
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C | EXTERNAL_FORCING routine is not the place to put | |
C | Note: Although it is slightly counter-intuitive the |
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C | file I/O. Instead files that are required to | |
C | EXTERNAL_FORCING routine is not the place to put |
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C | calculate the external source terms are generally | |
C | file I/O. Instead files that are required to |
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C | read during the model main loop. This makes the | |
C | calculate the external source terms are generally |
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C | logisitics of multi-processing simpler and also | |
C | read during the model main loop. This makes the |
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C | makes the adjoint generation simpler. It also | |
C | logisitics of multi-processing simpler and also |
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C | allows for I/O to overlap computation where that | |
C | makes the adjoint generation simpler. It also |
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C | is supported by hardware. | |
C | allows for I/O to overlap computation where that |
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C | Aside from the problem specific term the code here | |
C | is supported by hardware. |
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C | forms the tendency terms due to advection and mixing | |
C | Aside from the problem specific term the code here |
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C | The baseline implementation here uses a centered | |
C | forms the tendency terms due to advection and mixing |
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C | difference form for the advection term and a tensorial | |
C | The baseline implementation here uses a centered |
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C | divergence of a flux form for the diffusive term. The | |
C | difference form for the advection term and a tensorial |
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C | diffusive term is formulated so that isopycnal mixing and| |
C | divergence of a flux form for the diffusive term. The |
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C | GM-style subgrid-scale terms can be incorporated b simply| |
C | diffusive term is formulated so that isopycnal mixing and |
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C | setting the diffusion tensor terms appropriately. | |
C | GM-style subgrid-scale terms can be incorporated b simply |
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C \==========================================================/ |
C | setting the diffusion tensor terms appropriately. |
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IMPLICIT NONE |
C *==========================================================* |
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C \ev |
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C !USES: |
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IMPLICIT NONE |
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C == GLobal variables == |
C == GLobal variables == |
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#include "SIZE.h" |
#include "SIZE.h" |
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#include "DYNVARS.h" |
#include "DYNVARS.h" |
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#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
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#include "PARAMS.h" |
#include "PARAMS.h" |
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#include "GRID.h" |
#include "PACKAGES_CONFIG.h" |
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#include "FFIELDS.h" |
#ifdef ALLOW_GENERIC_ADVDIFF |
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#ifdef ALLOW_KPP |
#include "GAD.h" |
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#include "KPPMIX.h" |
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#endif |
#endif |
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
C == Routine arguments == |
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C fZon - Work array for flux of temperature in the east-west |
C fVerS :: Flux of salt (S) in the vertical |
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C direction at the west face of a cell. |
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C fMer - Work array for flux of temperature in the north-south |
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C direction at the south face of a cell. |
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C fVerS - Flux of salt (S) in the vertical |
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C direction at the upper(U) and lower(D) faces of a cell. |
C direction at the upper(U) and lower(D) faces of a cell. |
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C maskUp - Land mask used to denote base of the domain. |
C maskUp :: Land mask used to denote base of the domain. |
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C maskC - Land mask for salt cells (used in TOP_LAYER only) |
C xA :: Tracer cell face area normal to X |
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C xA - Tracer cell face area normal to X |
C yA :: Tracer cell face area normal to X |
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C yA - Tracer cell face area normal to X |
C uTrans :: Zonal volume transport through cell face |
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C uTrans - Zonal volume transport through cell face |
C vTrans :: Meridional volume transport through cell face |
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C vTrans - Meridional volume transport through cell face |
C rTrans :: Vertical volume transport at interface k |
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C rTrans - Vertical volume transport through cell face |
C rTransKp1 :: Vertical volume transport at inteface k+1 |
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C af - Advective flux component work array |
C bi, bj, iMin, iMax, jMin, jMax :: Range of points for which calculation |
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C df - Diffusive flux component work array |
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C bi, bj, iMin, iMax, jMin, jMax - Range of points for which calculation |
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C results will be set. |
C results will be set. |
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C myThid - Instance number for this innvocation of CALC_GT |
C myThid :: Instance number for this innvocation of CALC_GT |
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_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fVerS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
_RL fVerS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rTransKp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL KappaRS(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL K13 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL K23 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL KappaRS(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL af (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL df (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER k,kUp,kDown,kM1 |
INTEGER k,kUp,kDown,kM1 |
80 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
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_RL myCurrentTime |
_RL myTime |
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INTEGER myIter |
83 |
INTEGER myThid |
INTEGER myThid |
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CEndOfInterface |
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84 |
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85 |
C == Local variables == |
CEOP |
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C I, J, K - Loop counters |
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INTEGER i,j |
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LOGICAL TOP_LAYER |
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_RL afFacS, dfFacS |
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_RL dSdx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dSdy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL df4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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afFacS = 1. _d 0 |
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dfFacS = 1. _d 0 |
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TOP_LAYER = K .EQ. 1 |
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C--- Calculate advective and diffusive fluxes between cells. |
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#ifdef INCLUDE_T_DIFFUSION_CODE |
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C o Zonal tracer gradient |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx+1,sNx+Olx |
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dSdx(i,j) = _recip_dxC(i,j,bi,bj)* |
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& (salt(i,j,k,bi,bj)-salt(i-1,j,k,bi,bj)) |
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ENDDO |
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ENDDO |
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C o Meridional tracer gradient |
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DO j=1-Oly+1,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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dSdy(i,j) = _recip_dyC(i,j,bi,bj)* |
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& (salt(i,j,k,bi,bj)-salt(i,j-1,k,bi,bj)) |
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ENDDO |
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ENDDO |
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C-- del^2 of S, needed for bi-harmonic (del^4) term |
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IF (diffK4S .NE. 0.) THEN |
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DO j=1-Oly+1,sNy+Oly-1 |
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DO i=1-Olx+1,sNx+Olx-1 |
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df4(i,j)= _recip_hFacC(i,j,k,bi,bj) |
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& *recip_drF(k)/_rA(i,j,bi,bj) |
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& *( |
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& +( xA(i+1,j)*dSdx(i+1,j)-xA(i,j)*dSdx(i,j) ) |
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& +( yA(i,j+1)*dSdy(i,j+1)-yA(i,j)*dSdy(i,j) ) |
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& ) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif |
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C-- Zonal flux (fZon is at west face of "salt" cell) |
#ifdef ALLOW_GENERIC_ADVDIFF |
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C Advective component of zonal flux |
C === Local variables === |
89 |
DO j=jMin,jMax |
LOGICAL calcAdvection |
90 |
DO i=iMin,iMax |
INTEGER iterNb |
91 |
af(i,j) = |
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92 |
& uTrans(i,j)*(salt(i,j,k,bi,bj)+salt(i-1,j,k,bi,bj))*0.5 _d 0 |
#ifdef ALLOW_AUTODIFF_TAMC |
93 |
ENDDO |
C-- only the kUp part of fverS is set in this subroutine |
94 |
ENDDO |
C-- the kDown is still required |
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C o Diffusive component of zonal flux |
fVerS(1,1,kDown) = fVerS(1,1,kDown) |
96 |
DO j=jMin,jMax |
#endif |
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DO i=iMin,iMax |
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df(i,j) = -(diffKhS+0.5*(KapGM(i,j)+KapGM(i-1,j)))* |
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& xA(i,j)*dSdx(i,j) |
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ENDDO |
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ENDDO |
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C o Add the bi-harmonic contribution |
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IF (diffK4S .NE. 0.) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = df(i,j) + xA(i,j)* |
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& diffK4S*(df4(i,j)-df4(i-1,j))*_recip_dxC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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C Net zonal flux |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fZon(i,j) = afFacS*af(i,j) + dfFacS*df(i,j) |
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ENDDO |
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ENDDO |
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C-- Meridional flux (fMer is at south face of "salt" cell) |
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C Advective component of meridional flux |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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C Advective component of meridional flux |
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af(i,j) = |
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& vTrans(i,j)*(salt(i,j,k,bi,bj)+salt(i,j-1,k,bi,bj))*0.5 _d 0 |
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ENDDO |
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ENDDO |
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C Diffusive component of meridional flux |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = -(diffKhS+0.5*(KapGM(i,j)+KapGM(i,j-1)))* |
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& yA(i,j)*dSdy(i,j) |
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ENDDO |
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ENDDO |
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C o Add the bi-harmonic contribution |
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IF (diffK4S .NE. 0.) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = df(i,j) + yA(i,j)* |
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& diffK4S*(df4(i,j)-df4(i,j-1))*_recip_dyC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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C Net meridional flux |
calcAdvection = saltAdvection .AND. .NOT.saltMultiDimAdvec |
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DO j=jMin,jMax |
CALL GAD_CALC_RHS( |
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DO i=iMin,iMax |
I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
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fMer(i,j) = afFacS*af(i,j) + dfFacS*df(i,j) |
I xA,yA,uTrans,vTrans,rTrans,rTransKp1,maskUp, |
102 |
ENDDO |
I uVel, vVel, wVel, |
103 |
ENDDO |
I diffKhS, diffK4S, KappaRS, Salt, |
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I GAD_SALINITY, saltAdvScheme, saltVertAdvScheme, |
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C-- Interpolate terms for Redi/GM scheme |
I calcAdvection, saltImplVertAdv, |
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DO j=jMin,jMax |
U fVerS, gS, |
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DO i=iMin,iMax |
I myTime, myIter, myThid ) |
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dSdx(i,j) = 0.5*( |
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& +0.5*(_maskW(i+1,j,k,bi,bj) |
C-- External salinity forcing term(s) inside Adams-Bashforth: |
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& *_recip_dxC(i+1,j,bi,bj)* |
IF ( saltForcing .AND. forcing_In_AB ) |
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& (salt(i+1,j,k,bi,bj)-salt(i,j,k,bi,bj)) |
& CALL EXTERNAL_FORCING_S( |
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& +_maskW(i,j,k,bi,bj) |
I iMin,iMax,jMin,jMax,bi,bj,k, |
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& *_recip_dxC(i,j,bi,bj)* |
I myTime,myThid) |
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& (salt(i,j,k,bi,bj)-salt(i-1,j,k,bi,bj))) |
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& +0.5*(_maskW(i+1,j,km1,bi,bj) |
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& *_recip_dxC(i+1,j,bi,bj)* |
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& (salt(i+1,j,km1,bi,bj)-salt(i,j,km1,bi,bj)) |
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& +_maskW(i,j,km1,bi,bj) |
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& *_recip_dxC(i,j,bi,bj)* |
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& (salt(i,j,km1,bi,bj)-salt(i-1,j,km1,bi,bj))) |
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& ) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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dSdy(i,j) = 0.5*( |
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& +0.5*(_maskS(i,j,k,bi,bj) |
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& *_recip_dyC(i,j,bi,bj)* |
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& (salt(i,j,k,bi,bj)-salt(i,j-1,k,bi,bj)) |
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& +_maskS(i,j+1,k,bi,bj) |
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& *_recip_dyC(i,j+1,bi,bj)* |
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& (salt(i,j+1,k,bi,bj)-salt(i,j,k,bi,bj))) |
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& +0.5*(_maskS(i,j,km1,bi,bj) |
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& *_recip_dyC(i,j,bi,bj)* |
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& (salt(i,j,km1,bi,bj)-salt(i,j-1,km1,bi,bj)) |
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& +_maskS(i,j+1,km1,bi,bj) |
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& *_recip_dyC(i,j+1,bi,bj)* |
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& (salt(i,j+1,km1,bi,bj)-salt(i,j,km1,bi,bj))) |
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& ) |
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ENDDO |
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ENDDO |
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C-- Vertical flux (fVerS) above |
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C Advective component of vertical flux |
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C Note: For K=1 then KM1=1 this gives a barZ(T) = T |
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C (this plays the role of the free-surface correction) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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af(i,j) = |
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& rTrans(i,j)*(salt(i,j,k,bi,bj)+salt(i,j,kM1,bi,bj))*0.5 _d 0 |
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ENDDO |
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ENDDO |
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C Diffusive component of vertical flux |
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C Note: For K=1 then KM1=1 this gives a dS/dz = 0 upper |
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C boundary condition. |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = _rA(i,j,bi,bj)*( |
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& -KapGM(i,j)*K13(i,j,k)*dSdx(i,j) |
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& -KapGM(i,j)*K23(i,j,k)*dSdy(i,j) |
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& ) |
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ENDDO |
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ENDDO |
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IF (.NOT.implicitDiffusion) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = df(i,j) + _rA(i,j,bi,bj)*( |
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& -KappaRS(i,j,k)*recip_drC(k) |
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& *(salt(i,j,kM1,bi,bj)-salt(i,j,k,bi,bj))*rkFac |
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& ) |
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ENDDO |
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ENDDO |
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ENDIF |
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#ifdef ALLOW_KPP |
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IF (usingKPPmixing) THEN |
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C-- Add non local transport coefficient (ghat term) to right-hand-side |
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C The nonlocal transport term is noNrero only for scalars in unstable |
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C (convective) forcing conditions. |
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IF ( TOP_LAYER ) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = df(i,j) - _rA(i,j,bi,bj) * |
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& EmPmR(i,j,bi,bj) * delZ(1) * |
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& ( KappaRS(i,j,k) * KPPghat(i,j,k,bi,bj) ) |
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ENDDO |
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ENDDO |
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ELSE |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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df(i,j) = df(i,j) - _rA(i,j,bi,bj) * |
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& EmPmR(i,j,bi,bj) * delZ(1) * |
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& ( KappaRS(i,j,k) * KPPghat(i,j,k,bi,bj) |
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& - KappaRS(i,j,k-1) * KPPghat(i,j,k-1,bi,bj) ) |
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ENDDO |
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ENDDO |
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ENDIF |
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ENDIF |
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#endif /* ALLOW_KPP */ |
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114 |
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115 |
C Net vertical flux |
IF ( saltAdamsBashforth ) THEN |
116 |
DO j=jMin,jMax |
iterNb = myIter |
117 |
DO i=iMin,iMax |
IF (staggerTimeStep) iterNb = myIter - 1 |
118 |
fVerS(i,j,kUp) = ( afFacS*af(i,j)+ dfFacS*df(i,j) )*maskUp(i,j) |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
119 |
ENDDO |
CALL ADAMS_BASHFORTH3( |
120 |
ENDDO |
I bi, bj, k, |
121 |
IF ( TOP_LAYER ) THEN |
U gS, gsNm, |
122 |
DO j=jMin,jMax |
I iterNb, myThid ) |
123 |
DO i=iMin,iMax |
#else |
124 |
fVerS(i,j,kUp) = afFacS*af(i,j)*freeSurfFac |
CALL ADAMS_BASHFORTH2( |
125 |
ENDDO |
I bi, bj, k, |
126 |
ENDDO |
U gS, gsNm1, |
127 |
|
I iterNb, myThid ) |
128 |
|
#endif |
129 |
ENDIF |
ENDIF |
130 |
|
|
131 |
C-- Tendency is minus divergence of the fluxes. |
C-- External salinity forcing term(s) outside Adams-Bashforth: |
132 |
C Note. Tendency terms will only be correct for range |
IF ( saltForcing .AND. .NOT.forcing_In_AB ) |
133 |
C i=iMin+1:iMax-1, j=jMin+1:jMax-1. Edge points |
& CALL EXTERNAL_FORCING_S( |
|
C will contain valid floating point numbers but |
|
|
C they are not algorithmically correct. These points |
|
|
C are not used. |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
#define _recip_VolS1(i,j,k,bi,bj) _recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
|
|
#define _recip_VolS2(i,j,k,bi,bj) /_rA(i,j,bi,bj) |
|
|
gS(i,j,k,bi,bj)= |
|
|
& -_recip_VolS1(i,j,k,bi,bj) |
|
|
& _recip_VolS2(i,j,k,bi,bj) |
|
|
& *( |
|
|
& +( fZon(i+1,j)-fZon(i,j) ) |
|
|
& +( fMer(i,j+1)-fMer(i,j) ) |
|
|
& +( fVerS(i,j,kUp)-fVerS(i,j,kDown) )*rkFac |
|
|
& ) |
|
|
ENDDO |
|
|
ENDDO |
|
|
|
|
|
C-- External forcing term(s) |
|
|
CALL EXTERNAL_FORCING_S( |
|
134 |
I iMin,iMax,jMin,jMax,bi,bj,k, |
I iMin,iMax,jMin,jMax,bi,bj,k, |
135 |
I maskC, |
I myTime,myThid) |
|
I myCurrentTime,myThid) |
|
136 |
|
|
137 |
#ifdef INCLUDE_LAT_CIRC_FFT_FILTER_CODE |
#ifdef NONLIN_FRSURF |
138 |
C-- |
IF (nonlinFreeSurf.GT.0) THEN |
139 |
CALL FILTER_LATCIRCS_FFT_APPLY( gS, 1, sNy, k, k, bi, bj, 1, myThid) |
CALL FREESURF_RESCALE_G( |
140 |
|
I bi, bj, k, |
141 |
|
U gS, |
142 |
|
I myThid ) |
143 |
|
IF ( saltAdamsBashforth ) THEN |
144 |
|
#ifdef ALLOW_ADAMSBASHFORTH_3 |
145 |
|
CALL FREESURF_RESCALE_G( |
146 |
|
I bi, bj, k, |
147 |
|
U gsNm(1-OLx,1-OLy,1,1,1,1), |
148 |
|
I myThid ) |
149 |
|
CALL FREESURF_RESCALE_G( |
150 |
|
I bi, bj, k, |
151 |
|
U gsNm(1-OLx,1-OLy,1,1,1,2), |
152 |
|
I myThid ) |
153 |
|
#else |
154 |
|
CALL FREESURF_RESCALE_G( |
155 |
|
I bi, bj, k, |
156 |
|
U gsNm1, |
157 |
|
I myThid ) |
158 |
#endif |
#endif |
159 |
|
ENDIF |
160 |
|
ENDIF |
161 |
|
#endif /* NONLIN_FRSURF */ |
162 |
|
|
163 |
|
#endif /* ALLOW_GENERIC_ADVDIFF */ |
164 |
|
|
165 |
RETURN |
RETURN |
166 |
END |
END |