| 1 |
heimbach |
1.20 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/calc_gs.F,v 1.20 2000/06/08 19:01:22 heimbach Exp $ |
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cnh |
1.1 |
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cnh |
1.17 |
#include "CPP_OPTIONS.h" |
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cnh |
1.1 |
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CStartOfInterFace |
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SUBROUTINE CALC_GS( |
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I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
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cnh |
1.12 |
I xA,yA,uTrans,vTrans,rTrans,maskup,maskC, |
| 9 |
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I K13,K23,KappaRS,KapGM, |
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adcroft |
1.7 |
U af,df,fZon,fMer,fVerS, |
| 11 |
cnh |
1.16 |
I myCurrentTime, myThid ) |
| 12 |
cnh |
1.1 |
C /==========================================================\ |
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C | SUBROUTINE CALC_GS | |
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adcroft |
1.7 |
C | o Calculate the salt tendency terms. | |
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cnh |
1.1 |
C |==========================================================| |
| 16 |
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C | A procedure called EXTERNAL_FORCING_S is called from | |
| 17 |
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C | here. These procedures can be used to add per problem | |
| 18 |
adcroft |
1.7 |
C | E-P flux source terms. | |
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cnh |
1.1 |
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 | |
| 30 |
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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 | |
| 32 |
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C | divergence of a flux form for the diffusive term. The | |
| 33 |
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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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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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cnh |
1.8 |
#include "FFIELDS.h" |
| 46 |
adcroft |
1.18 |
#ifdef ALLOW_KPP |
| 47 |
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#include "KPPMIX.h" |
| 48 |
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#endif |
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cnh |
1.1 |
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C == Routine arguments == |
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C fZon - Work array for flux of temperature in the east-west |
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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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adcroft |
1.7 |
C fVerS - Flux of salt (S) in the vertical |
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cnh |
1.1 |
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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adcroft |
1.10 |
C maskC - Land mask for salt cells (used in TOP_LAYER only) |
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cnh |
1.1 |
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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adcroft |
1.18 |
C rTrans - Vertical volume transport through cell face |
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cnh |
1.1 |
C af - Advective flux component work array |
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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. |
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adcroft |
1.7 |
C myThid - Instance number for this innvocation of CALC_GT |
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cnh |
1.1 |
_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) |
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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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cnh |
1.12 |
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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cnh |
1.1 |
_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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adcroft |
1.10 |
_RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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cnh |
1.14 |
_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) |
| 82 |
adcroft |
1.7 |
_RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 83 |
cnh |
1.1 |
_RL af (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 84 |
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_RL df (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 85 |
adcroft |
1.7 |
INTEGER k,kUp,kDown,kM1 |
| 86 |
cnh |
1.1 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 87 |
adcroft |
1.18 |
_RL myCurrentTime |
| 88 |
cnh |
1.1 |
INTEGER myThid |
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CEndOfInterface |
| 90 |
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C == Local variables == |
| 92 |
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C I, J, K - Loop counters |
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adcroft |
1.7 |
INTEGER i,j |
| 94 |
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LOGICAL TOP_LAYER |
| 95 |
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_RL afFacS, dfFacS |
| 96 |
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_RL dSdx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 97 |
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_RL dSdy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 98 |
adcroft |
1.19 |
_RL df4 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 99 |
heimbach |
1.20 |
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| 100 |
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#ifdef ALLOW_AUTODIFF_TAMC |
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C-- only the kUp part of fverS is set in this subroutine |
| 102 |
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C-- the kDown is still required |
| 103 |
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| 104 |
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fVerS(1,1,kDown) = fVerS(1,1,kDown) |
| 105 |
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DO j=1-OLy,sNy+OLy |
| 106 |
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DO i=1-OLx,sNx+OLx |
| 107 |
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fZon(i,j) = 0.0 |
| 108 |
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fMer(i,j) = 0.0 |
| 109 |
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fVerS(i,j,kUp) = 0.0 |
| 110 |
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ENDDO |
| 111 |
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ENDDO |
| 112 |
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#endif |
| 113 |
cnh |
1.1 |
|
| 114 |
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afFacS = 1. _d 0 |
| 115 |
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dfFacS = 1. _d 0 |
| 116 |
adcroft |
1.7 |
TOP_LAYER = K .EQ. 1 |
| 117 |
cnh |
1.1 |
|
| 118 |
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C--- Calculate advective and diffusive fluxes between cells. |
| 119 |
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| 120 |
adcroft |
1.19 |
#ifdef INCLUDE_T_DIFFUSION_CODE |
| 121 |
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C o Zonal tracer gradient |
| 122 |
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DO j=1-Oly,sNy+Oly |
| 123 |
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DO i=1-Olx+1,sNx+Olx |
| 124 |
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dSdx(i,j) = _recip_dxC(i,j,bi,bj)* |
| 125 |
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& (salt(i,j,k,bi,bj)-salt(i-1,j,k,bi,bj)) |
| 126 |
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ENDDO |
| 127 |
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ENDDO |
| 128 |
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C o Meridional tracer gradient |
| 129 |
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DO j=1-Oly+1,sNy+Oly |
| 130 |
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DO i=1-Olx,sNx+Olx |
| 131 |
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dSdy(i,j) = _recip_dyC(i,j,bi,bj)* |
| 132 |
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& (salt(i,j,k,bi,bj)-salt(i,j-1,k,bi,bj)) |
| 133 |
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ENDDO |
| 134 |
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ENDDO |
| 135 |
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| 136 |
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C-- del^2 of S, needed for bi-harmonic (del^4) term |
| 137 |
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IF (diffK4S .NE. 0.) THEN |
| 138 |
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DO j=1-Oly+1,sNy+Oly-1 |
| 139 |
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DO i=1-Olx+1,sNx+Olx-1 |
| 140 |
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df4(i,j)= _recip_hFacC(i,j,k,bi,bj) |
| 141 |
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& *recip_drF(k)/_rA(i,j,bi,bj) |
| 142 |
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& *( |
| 143 |
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& +( xA(i+1,j)*dSdx(i+1,j)-xA(i,j)*dSdx(i,j) ) |
| 144 |
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& +( yA(i,j+1)*dSdy(i,j+1)-yA(i,j)*dSdy(i,j) ) |
| 145 |
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& ) |
| 146 |
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ENDDO |
| 147 |
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ENDDO |
| 148 |
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ENDIF |
| 149 |
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#endif |
| 150 |
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| 151 |
cnh |
1.1 |
C-- Zonal flux (fZon is at west face of "salt" cell) |
| 152 |
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C Advective component of zonal flux |
| 153 |
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DO j=jMin,jMax |
| 154 |
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DO i=iMin,iMax |
| 155 |
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af(i,j) = |
| 156 |
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& uTrans(i,j)*(salt(i,j,k,bi,bj)+salt(i-1,j,k,bi,bj))*0.5 _d 0 |
| 157 |
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ENDDO |
| 158 |
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ENDDO |
| 159 |
adcroft |
1.19 |
C o Diffusive component of zonal flux |
| 160 |
cnh |
1.1 |
DO j=jMin,jMax |
| 161 |
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DO i=iMin,iMax |
| 162 |
adcroft |
1.7 |
df(i,j) = -(diffKhS+0.5*(KapGM(i,j)+KapGM(i-1,j)))* |
| 163 |
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& xA(i,j)*dSdx(i,j) |
| 164 |
cnh |
1.1 |
ENDDO |
| 165 |
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ENDDO |
| 166 |
adcroft |
1.19 |
C o Add the bi-harmonic contribution |
| 167 |
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IF (diffK4S .NE. 0.) THEN |
| 168 |
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DO j=jMin,jMax |
| 169 |
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DO i=iMin,iMax |
| 170 |
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df(i,j) = df(i,j) + xA(i,j)* |
| 171 |
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& diffK4S*(df4(i,j)-df4(i-1,j))*_recip_dxC(i,j,bi,bj) |
| 172 |
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ENDDO |
| 173 |
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ENDDO |
| 174 |
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ENDIF |
| 175 |
cnh |
1.1 |
C Net zonal flux |
| 176 |
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DO j=jMin,jMax |
| 177 |
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DO i=iMin,iMax |
| 178 |
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fZon(i,j) = afFacS*af(i,j) + dfFacS*df(i,j) |
| 179 |
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ENDDO |
| 180 |
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ENDDO |
| 181 |
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| 182 |
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C-- Meridional flux (fMer is at south face of "salt" cell) |
| 183 |
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C Advective component of meridional flux |
| 184 |
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DO j=jMin,jMax |
| 185 |
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DO i=iMin,iMax |
| 186 |
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C Advective component of meridional flux |
| 187 |
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af(i,j) = |
| 188 |
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& vTrans(i,j)*(salt(i,j,k,bi,bj)+salt(i,j-1,k,bi,bj))*0.5 _d 0 |
| 189 |
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ENDDO |
| 190 |
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ENDDO |
| 191 |
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C Diffusive component of meridional flux |
| 192 |
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DO j=jMin,jMax |
| 193 |
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DO i=iMin,iMax |
| 194 |
adcroft |
1.7 |
df(i,j) = -(diffKhS+0.5*(KapGM(i,j)+KapGM(i,j-1)))* |
| 195 |
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& yA(i,j)*dSdy(i,j) |
| 196 |
cnh |
1.1 |
ENDDO |
| 197 |
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ENDDO |
| 198 |
adcroft |
1.19 |
C o Add the bi-harmonic contribution |
| 199 |
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IF (diffK4S .NE. 0.) THEN |
| 200 |
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DO j=jMin,jMax |
| 201 |
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DO i=iMin,iMax |
| 202 |
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df(i,j) = df(i,j) + yA(i,j)* |
| 203 |
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& diffK4S*(df4(i,j)-df4(i,j-1))*_recip_dyC(i,j,bi,bj) |
| 204 |
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ENDDO |
| 205 |
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ENDDO |
| 206 |
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ENDIF |
| 207 |
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| 208 |
cnh |
1.1 |
C Net meridional flux |
| 209 |
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DO j=jMin,jMax |
| 210 |
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DO i=iMin,iMax |
| 211 |
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fMer(i,j) = afFacS*af(i,j) + dfFacS*df(i,j) |
| 212 |
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ENDDO |
| 213 |
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ENDDO |
| 214 |
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| 215 |
adcroft |
1.7 |
C-- Interpolate terms for Redi/GM scheme |
| 216 |
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DO j=jMin,jMax |
| 217 |
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DO i=iMin,iMax |
| 218 |
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dSdx(i,j) = 0.5*( |
| 219 |
cnh |
1.15 |
& +0.5*(_maskW(i+1,j,k,bi,bj) |
| 220 |
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& *_recip_dxC(i+1,j,bi,bj)* |
| 221 |
adcroft |
1.7 |
& (salt(i+1,j,k,bi,bj)-salt(i,j,k,bi,bj)) |
| 222 |
cnh |
1.15 |
& +_maskW(i,j,k,bi,bj) |
| 223 |
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& *_recip_dxC(i,j,bi,bj)* |
| 224 |
adcroft |
1.7 |
& (salt(i,j,k,bi,bj)-salt(i-1,j,k,bi,bj))) |
| 225 |
cnh |
1.15 |
& +0.5*(_maskW(i+1,j,km1,bi,bj) |
| 226 |
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& *_recip_dxC(i+1,j,bi,bj)* |
| 227 |
adcroft |
1.7 |
& (salt(i+1,j,km1,bi,bj)-salt(i,j,km1,bi,bj)) |
| 228 |
cnh |
1.15 |
& +_maskW(i,j,km1,bi,bj) |
| 229 |
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& *_recip_dxC(i,j,bi,bj)* |
| 230 |
adcroft |
1.7 |
& (salt(i,j,km1,bi,bj)-salt(i-1,j,km1,bi,bj))) |
| 231 |
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& ) |
| 232 |
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ENDDO |
| 233 |
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ENDDO |
| 234 |
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DO j=jMin,jMax |
| 235 |
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DO i=iMin,iMax |
| 236 |
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dSdy(i,j) = 0.5*( |
| 237 |
cnh |
1.15 |
& +0.5*(_maskS(i,j,k,bi,bj) |
| 238 |
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& *_recip_dyC(i,j,bi,bj)* |
| 239 |
adcroft |
1.7 |
& (salt(i,j,k,bi,bj)-salt(i,j-1,k,bi,bj)) |
| 240 |
cnh |
1.15 |
& +_maskS(i,j+1,k,bi,bj) |
| 241 |
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& *_recip_dyC(i,j+1,bi,bj)* |
| 242 |
adcroft |
1.7 |
& (salt(i,j+1,k,bi,bj)-salt(i,j,k,bi,bj))) |
| 243 |
cnh |
1.15 |
& +0.5*(_maskS(i,j,km1,bi,bj) |
| 244 |
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& *_recip_dyC(i,j,bi,bj)* |
| 245 |
adcroft |
1.7 |
& (salt(i,j,km1,bi,bj)-salt(i,j-1,km1,bi,bj)) |
| 246 |
cnh |
1.15 |
& +_maskS(i,j+1,km1,bi,bj) |
| 247 |
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& *_recip_dyC(i,j+1,bi,bj)* |
| 248 |
adcroft |
1.7 |
& (salt(i,j+1,km1,bi,bj)-salt(i,j,km1,bi,bj))) |
| 249 |
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& ) |
| 250 |
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ENDDO |
| 251 |
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ENDDO |
| 252 |
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| 253 |
cnh |
1.1 |
C-- Vertical flux (fVerS) above |
| 254 |
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C Advective component of vertical flux |
| 255 |
adcroft |
1.7 |
C Note: For K=1 then KM1=1 this gives a barZ(T) = T |
| 256 |
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C (this plays the role of the free-surface correction) |
| 257 |
cnh |
1.1 |
DO j=jMin,jMax |
| 258 |
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DO i=iMin,iMax |
| 259 |
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af(i,j) = |
| 260 |
cnh |
1.12 |
& rTrans(i,j)*(salt(i,j,k,bi,bj)+salt(i,j,kM1,bi,bj))*0.5 _d 0 |
| 261 |
cnh |
1.1 |
ENDDO |
| 262 |
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ENDDO |
| 263 |
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C Diffusive component of vertical flux |
| 264 |
adcroft |
1.7 |
C Note: For K=1 then KM1=1 this gives a dS/dz = 0 upper |
| 265 |
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C boundary condition. |
| 266 |
cnh |
1.1 |
DO j=jMin,jMax |
| 267 |
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DO i=iMin,iMax |
| 268 |
cnh |
1.13 |
df(i,j) = _rA(i,j,bi,bj)*( |
| 269 |
adcroft |
1.7 |
& -KapGM(i,j)*K13(i,j,k)*dSdx(i,j) |
| 270 |
|
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& -KapGM(i,j)*K23(i,j,k)*dSdy(i,j) |
| 271 |
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& ) |
| 272 |
cnh |
1.1 |
ENDDO |
| 273 |
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ENDDO |
| 274 |
adcroft |
1.7 |
IF (.NOT.implicitDiffusion) THEN |
| 275 |
|
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DO j=jMin,jMax |
| 276 |
|
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DO i=iMin,iMax |
| 277 |
cnh |
1.12 |
df(i,j) = df(i,j) + _rA(i,j,bi,bj)*( |
| 278 |
|
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& -KappaRS(i,j,k)*recip_drC(k) |
| 279 |
cnh |
1.13 |
& *(salt(i,j,kM1,bi,bj)-salt(i,j,k,bi,bj))*rkFac |
| 280 |
adcroft |
1.7 |
& ) |
| 281 |
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ENDDO |
| 282 |
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ENDDO |
| 283 |
|
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ENDIF |
| 284 |
adcroft |
1.18 |
#ifdef ALLOW_KPP |
| 285 |
|
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IF (usingKPPmixing) THEN |
| 286 |
|
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C-- Add non local transport coefficient (ghat term) to right-hand-side |
| 287 |
|
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C The nonlocal transport term is noNrero only for scalars in unstable |
| 288 |
|
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C (convective) forcing conditions. |
| 289 |
|
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IF ( TOP_LAYER ) THEN |
| 290 |
|
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DO j=jMin,jMax |
| 291 |
|
|
DO i=iMin,iMax |
| 292 |
|
|
df(i,j) = df(i,j) - _rA(i,j,bi,bj) * |
| 293 |
|
|
& EmPmR(i,j,bi,bj) * delZ(1) * |
| 294 |
|
|
& ( KappaRS(i,j,k) * KPPghat(i,j,k,bi,bj) ) |
| 295 |
|
|
ENDDO |
| 296 |
|
|
ENDDO |
| 297 |
|
|
ELSE |
| 298 |
|
|
DO j=jMin,jMax |
| 299 |
|
|
DO i=iMin,iMax |
| 300 |
|
|
df(i,j) = df(i,j) - _rA(i,j,bi,bj) * |
| 301 |
|
|
& EmPmR(i,j,bi,bj) * delZ(1) * |
| 302 |
|
|
& ( KappaRS(i,j,k) * KPPghat(i,j,k,bi,bj) |
| 303 |
|
|
& - KappaRS(i,j,k-1) * KPPghat(i,j,k-1,bi,bj) ) |
| 304 |
|
|
ENDDO |
| 305 |
|
|
ENDDO |
| 306 |
|
|
ENDIF |
| 307 |
|
|
ENDIF |
| 308 |
|
|
#endif /* ALLOW_KPP */ |
| 309 |
|
|
|
| 310 |
cnh |
1.1 |
C Net vertical flux |
| 311 |
|
|
DO j=jMin,jMax |
| 312 |
|
|
DO i=iMin,iMax |
| 313 |
adcroft |
1.7 |
fVerS(i,j,kUp) = ( afFacS*af(i,j)+ dfFacS*df(i,j) )*maskUp(i,j) |
| 314 |
cnh |
1.1 |
ENDDO |
| 315 |
|
|
ENDDO |
| 316 |
adcroft |
1.7 |
IF ( TOP_LAYER ) THEN |
| 317 |
|
|
DO j=jMin,jMax |
| 318 |
|
|
DO i=iMin,iMax |
| 319 |
|
|
fVerS(i,j,kUp) = afFacS*af(i,j)*freeSurfFac |
| 320 |
|
|
ENDDO |
| 321 |
|
|
ENDDO |
| 322 |
|
|
ENDIF |
| 323 |
cnh |
1.1 |
|
| 324 |
|
|
C-- Tendency is minus divergence of the fluxes. |
| 325 |
|
|
C Note. Tendency terms will only be correct for range |
| 326 |
|
|
C i=iMin+1:iMax-1, j=jMin+1:jMax-1. Edge points |
| 327 |
|
|
C will contain valid floating point numbers but |
| 328 |
|
|
C they are not algorithmically correct. These points |
| 329 |
|
|
C are not used. |
| 330 |
|
|
DO j=jMin,jMax |
| 331 |
|
|
DO i=iMin,iMax |
| 332 |
cnh |
1.15 |
#define _recip_VolS1(i,j,k,bi,bj) _recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 333 |
|
|
#define _recip_VolS2(i,j,k,bi,bj) /_rA(i,j,bi,bj) |
| 334 |
cnh |
1.1 |
gS(i,j,k,bi,bj)= |
| 335 |
cnh |
1.15 |
& -_recip_VolS1(i,j,k,bi,bj) |
| 336 |
|
|
& _recip_VolS2(i,j,k,bi,bj) |
| 337 |
cnh |
1.1 |
& *( |
| 338 |
|
|
& +( fZon(i+1,j)-fZon(i,j) ) |
| 339 |
|
|
& +( fMer(i,j+1)-fMer(i,j) ) |
| 340 |
cnh |
1.12 |
& +( fVerS(i,j,kUp)-fVerS(i,j,kDown) )*rkFac |
| 341 |
cnh |
1.1 |
& ) |
| 342 |
|
|
ENDDO |
| 343 |
|
|
ENDDO |
| 344 |
|
|
|
| 345 |
cnh |
1.16 |
C-- External forcing term(s) |
| 346 |
|
|
CALL EXTERNAL_FORCING_S( |
| 347 |
|
|
I iMin,iMax,jMin,jMax,bi,bj,k, |
| 348 |
cnh |
1.17 |
I maskC, |
| 349 |
cnh |
1.16 |
I myCurrentTime,myThid) |
| 350 |
|
|
|
| 351 |
cnh |
1.17 |
#ifdef INCLUDE_LAT_CIRC_FFT_FILTER_CODE |
| 352 |
cnh |
1.16 |
C-- |
| 353 |
|
|
CALL FILTER_LATCIRCS_FFT_APPLY( gS, 1, sNy, k, k, bi, bj, 1, myThid) |
| 354 |
|
|
#endif |
| 355 |
cnh |
1.1 |
|
| 356 |
|
|
RETURN |
| 357 |
|
|
END |
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