| 1 |
C $Header: /u/gcmpack/models/MITgcmUV/verification/aim.5l_LatLon/code/Attic/calc_gs.F,v 1.1.2.2 2001/04/17 01:38:31 jmc Exp $ |
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C $Name: pre38-close $ |
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|
| 4 |
#include "CPP_OPTIONS.h" |
| 5 |
|
| 6 |
#define COSINEMETH_III |
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#undef ISOTROPIC_COS_SCALING |
| 8 |
#define USE_3RD_O_ADVEC |
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|
| 10 |
CStartOfInterFace |
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SUBROUTINE CALC_GS( |
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I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
| 13 |
I xA,yA,uTrans,vTrans,rTrans,maskUp, |
| 14 |
I KappaRS, |
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U fVerS, |
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I myCurrentTime, myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE CALC_GS | |
| 19 |
C | o Calculate the salt tendency terms. | |
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C |==========================================================| |
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C | A procedure called EXTERNAL_FORCING_S is called from | |
| 22 |
C | here. These procedures can be used to add per problem | |
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C | E-P flux source terms. | |
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C | Note: Although it is slightly counter-intuitive the | |
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C | EXTERNAL_FORCING routine is not the place to put | |
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C | file I/O. Instead files that are required to | |
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C | calculate the external source terms are generally | |
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C | read during the model main loop. This makes the | |
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C | logisitics of multi-processing simpler and also | |
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C | makes the adjoint generation simpler. It also | |
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C | allows for I/O to overlap computation where that | |
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C | is supported by hardware. | |
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C | Aside from the problem specific term the code here | |
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C | forms the tendency terms due to advection and mixing | |
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C | The baseline implementation here uses a centered | |
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C | difference form for the advection term and a tensorial | |
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C | divergence of a flux form for the diffusive term. The | |
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C | diffusive term is formulated so that isopycnal mixing and| |
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C | GM-style subgrid-scale terms can be incorporated b simply| |
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C | setting the diffusion tensor terms appropriately. | |
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C \==========================================================/ |
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IMPLICIT NONE |
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|
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C == GLobal variables == |
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#include "SIZE.h" |
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#include "DYNVARS.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 "FFIELDS.h" |
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|
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C == Routine arguments == |
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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. |
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C maskUp - Land mask used to denote base of the domain. |
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C xA - Tracer cell face area normal to X |
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C yA - Tracer cell face area normal to X |
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C uTrans - Zonal volume transport through cell face |
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C vTrans - Meridional volume transport through cell face |
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C rTrans - Vertical volume transport through cell face |
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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. |
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C myThid - Instance number for this innvocation of CALC_GT |
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_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) |
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_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL KappaRS(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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INTEGER k,kUp,kDown,kM1 |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
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_RL myCurrentTime |
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INTEGER myThid |
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CEndOfInterface |
| 77 |
|
| 78 |
C == Local variables == |
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C I, J, K - Loop counters |
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C tauUpwH - Horizontal upwind weight : 1=Upwind ; 0=Centered |
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C tauUpwV - Vertical upwind weight : 1=Upwind ; 0=Centered |
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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 tauUpwH, tauUpwV |
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_RL df4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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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 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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c_jmc: |
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_RL ddx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL d2dx2(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL ddy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL d2dy2(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL phiLo(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL phiHi(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dist |
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c_jmc. |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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C-- only the kUp part of fverS is set in this subroutine |
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C-- the kDown is still required |
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fVerS(1,1,kDown) = fVerS(1,1,kDown) |
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#endif |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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fZon(i,j) = 0.0 |
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fMer(i,j) = 0.0 |
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fVerS(i,j,kUp) = 0.0 |
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ENDDO |
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ENDDO |
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|
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afFacS = 1. _d 0 |
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dfFacS = 1. _d 0 |
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tauUpwH = 1. _d 0 |
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tauUpwV = 1. _d 0 |
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TOP_LAYER = K .EQ. 1 |
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|
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C--- Calculate advective and diffusive fluxes between cells. |
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|
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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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fZon(i,j) = _recip_dxC(i,j,bi,bj)*xA(i,j) |
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& *(salt(i,j,k,bi,bj)-salt(i-1,j,k,bi,bj)) |
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#ifdef COSINEMETH_III |
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& *sqCosFacU(j,bi,bj) |
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#endif |
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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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fMer(i,j) = _recip_dyC(i,j,bi,bj)*yA(i,j) |
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& *(salt(i,j,k,bi,bj)-salt(i,j-1,k,bi,bj)) |
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#ifdef ISOTROPIC_COS_SCALING |
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#ifdef COSINEMETH_III |
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& *sqCosFacV(j,bi,bj) |
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#endif |
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#endif |
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ENDDO |
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ENDDO |
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|
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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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& +( fZon(i+1,j)-fZon(i,j) ) |
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& +( fMer(i,j+1)-fMer(i,j) ) |
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& ) |
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ENDDO |
| 156 |
ENDDO |
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ENDIF |
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|
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C-- Zonal flux (fZon is at west face of "salt" cell) |
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c---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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#ifdef USE_3RD_O_ADVEC |
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C o Advective component of zonal flux, 3rd order Advec Scheme |
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DO j=jMin,jMax |
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DO i=1-OLx+1,sNx+OLx |
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ddx(i,j) = (salt(i,j,k,bi,bj)-salt(i-1,j,k,bi,bj)) |
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& *_recip_dxC(i,j,bi,bj)*_maskW(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=1-OLx,sNx+OLx-1 |
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d2dx2(i,j) = ( ddx(i+1,j)-ddx(i,j) ) |
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& *_recip_dxF(i,j,bi,bj)*maskC(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=1-OLx+1,sNx+OLx |
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dist = _dxF(i-1,j,bi,bj)*0.5 _d 0 |
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phiLo(i,j) = salt(i-1,j,k,bi,bj) |
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& +dist |
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& *( ddx(i ,j)+ddx(i-1,j) )*0.5 _d 0 |
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& +0.5 _d 0*dist*dist |
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& *d2dx2(i-1,j) |
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dist = -_dxF(i,j,bi,bj)*0.5 _d 0 |
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phiHi(i,j) = salt(i,j,k,bi,bj) |
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& +dist |
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& *( ddx(i+1,j)+ddx(i ,j) )*0.5 _d 0 |
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& +0.5 _d 0*dist*dist |
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& *d2dx2(i,j) |
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ENDDO |
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ENDDO |
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DO j=jMin,jMax |
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DO i=1-OLx,sNx+OLx |
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IF ( uTrans(i,j) .GT. 0. ) THEN |
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af(i,j) = uTrans(i,j)*phiLo(i,j) |
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ELSE |
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af(i,j) = uTrans(i,j)*phiHi(i,j) |
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ENDIF |
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ENDDO |
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ENDDO |
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#else |
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C o Advective component of zonal flux, 1rst & 2nd order Advec Scheme |
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IF (tauUpwH.EQ.0. _d 0) THEN |
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C Centered scheme : |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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af(i,j) = uTrans(i,j)* |
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& (salt(i-1,j,k,bi,bj)+salt(i,j,k,bi,bj))*0.5 _d 0 |
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ENDDO |
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ENDDO |
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ELSE |
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C Upwind weighted scheme : |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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af(i,j) = uTrans(i,j)* |
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& (salt(i-1,j,k,bi,bj)+salt(i,j,k,bi,bj))*0.5 _d 0 |
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& +tauUpwH*abs(uTrans(i,j))* |
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& (salt(i-1,j,k,bi,bj)-salt(i,j,k,bi,bj))*0.5 _d 0 |
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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---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C o Diffusive component of zonal 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*xA(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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& *CosFacU(j,bi,bj) |
| 229 |
ENDDO |
| 230 |
ENDDO |
| 231 |
#ifdef ALLOW_GMREDI |
| 232 |
IF (useGMRedi) CALL GMREDI_XTRANSPORT( |
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I iMin,iMax,jMin,jMax,bi,bj,K, |
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I xA,salt, |
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U df, |
| 236 |
I myThid) |
| 237 |
#endif |
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C o Add the bi-harmonic contribution |
| 239 |
IF (diffK4S .NE. 0.) THEN |
| 240 |
DO j=jMin,jMax |
| 241 |
DO i=iMin,iMax |
| 242 |
df(i,j) = df(i,j) + xA(i,j)* |
| 243 |
& diffK4S*(df4(i,j)-df4(i-1,j))*_recip_dxC(i,j,bi,bj) |
| 244 |
#ifdef COSINEMETH_III |
| 245 |
& *sqCosFacU(j,bi,bj) |
| 246 |
#else |
| 247 |
& *CosFacU(j,bi,bj) |
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#endif |
| 249 |
ENDDO |
| 250 |
ENDDO |
| 251 |
ENDIF |
| 252 |
C Net zonal flux |
| 253 |
DO j=jMin,jMax |
| 254 |
DO i=iMin,iMax |
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fZon(i,j) = afFacS*af(i,j) + dfFacS*df(i,j) |
| 256 |
ENDDO |
| 257 |
ENDDO |
| 258 |
|
| 259 |
C-- Meridional flux (fMer is at south face of "salt" cell) |
| 260 |
c---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 261 |
#ifdef USE_3RD_O_ADVEC |
| 262 |
C o Advective component of meridional flux, 3rd order Advec Scheme |
| 263 |
DO j=jMin,jMax |
| 264 |
DO i=iMin,iMax |
| 265 |
ddy(i,j) = (salt(i,j,k,bi,bj)-salt(i,j-1,k,bi,bj)) |
| 266 |
& *_recip_dyC(i,j,bi,bj)*_maskS(i,j,k,bi,bj) |
| 267 |
ENDDO |
| 268 |
ENDDO |
| 269 |
DO j=jMin,jMax |
| 270 |
DO i=iMin,iMax |
| 271 |
d2dy2(i,j) = ( ddy(i,j+1)-ddy(i,j) ) |
| 272 |
& *_recip_dyF(i,j,bi,bj)*maskC(i,j,k,bi,bj) |
| 273 |
ENDDO |
| 274 |
ENDDO |
| 275 |
DO j=jMin,jMax |
| 276 |
DO i=iMin,iMax |
| 277 |
dist = _dyF(i,j-1,bi,bj)*0.5 _d 0 |
| 278 |
phiLo(i,j) = salt(i,j-1,k,bi,bj) |
| 279 |
& +dist |
| 280 |
& *( ddy(i ,j)+ddy(i,j-1) )*0.5 _d 0 |
| 281 |
& +0.5 _d 0*dist*dist |
| 282 |
& *d2dy2(i,j-1) |
| 283 |
dist = -_dyF(i,j,bi,bj)*0.5 _d 0 |
| 284 |
phiHi(i,j) = salt(i,j,k,bi,bj) |
| 285 |
& +dist |
| 286 |
& *( ddy(i,j+1)+ddy(i ,j) )*0.5 _d 0 |
| 287 |
& +0.5 _d 0*dist*dist |
| 288 |
& *d2dy2(i,j) |
| 289 |
ENDDO |
| 290 |
ENDDO |
| 291 |
DO j=jMin,jMax |
| 292 |
DO i=iMin,iMax |
| 293 |
IF ( vTrans(i,j) .GT. 0. ) THEN |
| 294 |
af(i,j) = vTrans(i,j)*phiLo(i,j) |
| 295 |
ELSE |
| 296 |
af(i,j) = vTrans(i,j)*phiHi(i,j) |
| 297 |
ENDIF |
| 298 |
ENDDO |
| 299 |
ENDDO |
| 300 |
#else |
| 301 |
C o Advective component of meridional flux, 1rst & 2nd order Advec Scheme |
| 302 |
IF (tauUpwH.EQ.0. _d 0) THEN |
| 303 |
C Centered scheme : |
| 304 |
DO j=jMin,jMax |
| 305 |
DO i=iMin,iMax |
| 306 |
af(i,j) = vTrans(i,j)* |
| 307 |
& (salt(i,j-1,k,bi,bj)+salt(i,j,k,bi,bj))*0.5 _d 0 |
| 308 |
ENDDO |
| 309 |
ENDDO |
| 310 |
ELSE |
| 311 |
C Upwind weighted scheme : |
| 312 |
DO j=jMin,jMax |
| 313 |
DO i=iMin,iMax |
| 314 |
af(i,j) = vTrans(i,j)* |
| 315 |
& (salt(i,j-1,k,bi,bj)+salt(i,j,k,bi,bj))*0.5 _d 0 |
| 316 |
& +tauUpwH*abs(vTrans(i,j))* |
| 317 |
& (salt(i,j-1,k,bi,bj)-salt(i,j,k,bi,bj))*0.5 _d 0 |
| 318 |
ENDDO |
| 319 |
ENDDO |
| 320 |
ENDIF |
| 321 |
#endif |
| 322 |
c---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 323 |
C o Diffusive component of meridional flux |
| 324 |
DO j=jMin,jMax |
| 325 |
DO i=iMin,iMax |
| 326 |
df(i,j) = -diffKhS*yA(i,j)*_recip_dyC(i,j,bi,bj)* |
| 327 |
& (salt(i,j,k,bi,bj)-salt(i,j-1,k,bi,bj)) |
| 328 |
& *CosFacV(j,bi,bj) |
| 329 |
ENDDO |
| 330 |
ENDDO |
| 331 |
#ifdef ALLOW_GMREDI |
| 332 |
IF (useGMRedi) CALL GMREDI_YTRANSPORT( |
| 333 |
I iMin,iMax,jMin,jMax,bi,bj,K, |
| 334 |
I yA,salt, |
| 335 |
U df, |
| 336 |
I myThid) |
| 337 |
#endif |
| 338 |
C o Add the bi-harmonic contribution |
| 339 |
IF (diffK4S .NE. 0.) THEN |
| 340 |
DO j=jMin,jMax |
| 341 |
DO i=iMin,iMax |
| 342 |
df(i,j) = df(i,j) + yA(i,j)* |
| 343 |
& diffK4S*(df4(i,j)-df4(i,j-1))*_recip_dyC(i,j,bi,bj) |
| 344 |
#ifdef ISOTROPIC_COS_SCALING |
| 345 |
#ifdef COSINEMETH_III |
| 346 |
& *sqCosFacV(j,bi,bj) |
| 347 |
#else |
| 348 |
& *CosFacV(j,bi,bj) |
| 349 |
#endif |
| 350 |
#endif |
| 351 |
ENDDO |
| 352 |
ENDDO |
| 353 |
ENDIF |
| 354 |
|
| 355 |
C Net meridional flux |
| 356 |
DO j=jMin,jMax |
| 357 |
DO i=iMin,iMax |
| 358 |
fMer(i,j) = afFacS*af(i,j) + dfFacS*df(i,j) |
| 359 |
ENDDO |
| 360 |
ENDDO |
| 361 |
|
| 362 |
C-- Vertical flux ( fVerS(,,kUp) is at upper face of "Tracer" cell ) |
| 363 |
C o Advective component of vertical flux : assume W_bottom=0 (mask) |
| 364 |
C Note: For K=1 then KM1=1 this gives a barZ(S) = S |
| 365 |
C (this plays the role of the free-surface correction for k=1) |
| 366 |
IF ( rigidLid .AND. TOP_LAYER) THEN |
| 367 |
DO j=jMin,jMax |
| 368 |
DO i=iMin,iMax |
| 369 |
af(i,j) = 0. |
| 370 |
ENDDO |
| 371 |
ENDDO |
| 372 |
ELSE |
| 373 |
IF (tauUpwV.EQ.0. _d 0) THEN |
| 374 |
C Centered scheme : |
| 375 |
DO j=jMin,jMax |
| 376 |
DO i=iMin,iMax |
| 377 |
af(i,j) = rTrans(i,j)* |
| 378 |
& (salt(i,j,k,bi,bj)+salt(i,j,kM1,bi,bj))*0.5 _d 0 |
| 379 |
ENDDO |
| 380 |
ENDDO |
| 381 |
ELSE |
| 382 |
C Upwind weighted scheme : |
| 383 |
DO j=jMin,jMax |
| 384 |
DO i=iMin,iMax |
| 385 |
af(i,j) = rTrans(i,j)* |
| 386 |
& (salt(i,j,k,bi,bj)+salt(i,j,kM1,bi,bj))*0.5 _d 0 |
| 387 |
& +tauUpwV*abs(rTrans(i,j))* |
| 388 |
& (salt(i,j,k,bi,bj)-salt(i,j,kM1,bi,bj))*0.5 _d 0 |
| 389 |
ENDDO |
| 390 |
ENDDO |
| 391 |
ENDIF |
| 392 |
IF (.NOT.rigidLid ) THEN |
| 393 |
C free-surface correction for k > 1 |
| 394 |
DO j=jMin,jMax |
| 395 |
DO i=iMin,iMax |
| 396 |
af(i,j) = af(i,j)*maskC(i,j,kM1,bi,bj) |
| 397 |
& +rTrans(i,j)*(maskC(i,j,k,bi,bj)-maskC(i,j,kM1,bi,bj))* |
| 398 |
& salt(i,j,k,bi,bj) |
| 399 |
ENDDO |
| 400 |
ENDDO |
| 401 |
ENDIF |
| 402 |
ENDIF |
| 403 |
C o Diffusive component of vertical flux |
| 404 |
C Note: For K=1 then KM1=1 and this gives a dS/dr = 0 upper |
| 405 |
C boundary condition. |
| 406 |
IF (implicitDiffusion) THEN |
| 407 |
DO j=jMin,jMax |
| 408 |
DO i=iMin,iMax |
| 409 |
df(i,j) = 0. |
| 410 |
ENDDO |
| 411 |
ENDDO |
| 412 |
ELSE |
| 413 |
DO j=jMin,jMax |
| 414 |
DO i=iMin,iMax |
| 415 |
df(i,j) = - _rA(i,j,bi,bj)*( |
| 416 |
& KappaRS(i,j,k)*recip_drC(k) |
| 417 |
& *(salt(i,j,kM1,bi,bj)-salt(i,j,k,bi,bj))*rkFac |
| 418 |
& ) |
| 419 |
ENDDO |
| 420 |
ENDDO |
| 421 |
ENDIF |
| 422 |
|
| 423 |
#ifdef ALLOW_GMREDI |
| 424 |
IF (useGMRedi) CALL GMREDI_RTRANSPORT( |
| 425 |
I iMin,iMax,jMin,jMax,bi,bj,K, |
| 426 |
I maskUp,salt, |
| 427 |
U df, |
| 428 |
I myThid) |
| 429 |
#endif |
| 430 |
|
| 431 |
#ifdef ALLOW_KPP |
| 432 |
C-- Add non-local KPP transport term (ghat) to diffusive salt flux. |
| 433 |
IF (useKPP) CALL KPP_TRANSPORT_S( |
| 434 |
I iMin,iMax,jMin,jMax,bi,bj,k,km1, |
| 435 |
I KappaRS, |
| 436 |
U df ) |
| 437 |
#endif |
| 438 |
|
| 439 |
C Net vertical flux |
| 440 |
DO j=jMin,jMax |
| 441 |
DO i=iMin,iMax |
| 442 |
fVerS(i,j,kUp) = afFacS*af(i,j) + dfFacS*df(i,j)*maskUp(i,j) |
| 443 |
ENDDO |
| 444 |
ENDDO |
| 445 |
|
| 446 |
C-- Tendency is minus divergence of the fluxes. |
| 447 |
C Note. Tendency terms will only be correct for range |
| 448 |
C i=iMin+1:iMax-1, j=jMin+1:jMax-1. Edge points |
| 449 |
C will contain valid floating point numbers but |
| 450 |
C they are not algorithmically correct. These points |
| 451 |
C are not used. |
| 452 |
DO j=jMin,jMax |
| 453 |
DO i=iMin,iMax |
| 454 |
#define _recip_VolS1(i,j,k,bi,bj) _recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 455 |
#define _recip_VolS2(i,j,k,bi,bj) /_rA(i,j,bi,bj) |
| 456 |
gS(i,j,k,bi,bj)= |
| 457 |
& -_recip_VolS1(i,j,k,bi,bj) |
| 458 |
& _recip_VolS2(i,j,k,bi,bj) |
| 459 |
& *( |
| 460 |
& +( fZon(i+1,j)-fZon(i,j) ) |
| 461 |
& +( fMer(i,j+1)-fMer(i,j) ) |
| 462 |
& +( fVerS(i,j,kUp)-fVerS(i,j,kDown) )*rkFac |
| 463 |
& ) |
| 464 |
ENDDO |
| 465 |
ENDDO |
| 466 |
|
| 467 |
C-- External forcing term(s) |
| 468 |
CALL EXTERNAL_FORCING_S( |
| 469 |
I iMin,iMax,jMin,jMax,bi,bj,k, |
| 470 |
I myCurrentTime,myThid) |
| 471 |
|
| 472 |
RETURN |
| 473 |
END |
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