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C $Header$ |
C $Header$ |
| 2 |
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C $Name$ |
| 3 |
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| 4 |
#include "CPP_EEOPTIONS.h" |
#include "PACKAGES_CONFIG.h" |
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#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,wTrans,maskup,maskC, |
I xA,yA,uTrans,vTrans,rTrans,rTransKp1,maskUp, |
| 13 |
I K13,K23,KappaZS,KapGM, |
I KappaRS, |
| 14 |
U af,df,fZon,fMer,fVerS, |
U fVerS, |
| 15 |
I myThid ) |
I myTime,myIter,myThid ) |
| 16 |
C /==========================================================\ |
C !DESCRIPTION: \bv |
| 17 |
C | SUBROUTINE CALC_GS | |
C *==========================================================* |
| 18 |
C | o Calculate the salt tendency terms. | |
C | SUBROUTINE CALC_GS |
| 19 |
C |==========================================================| |
C | o Calculate the salt tendency terms. |
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C | A procedure called EXTERNAL_FORCING_S is called from | |
C *==========================================================* |
| 21 |
C | here. These procedures can be used to add per problem | |
C | A procedure called EXTERNAL_FORCING_S is called from |
| 22 |
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 |
| 26 |
C | calculate the external source terms are generally | |
C | file I/O. Instead files that are required to |
| 27 |
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 |
| 30 |
C | allows for I/O to overlap computation where that | |
C | makes the adjoint generation simpler. It also |
| 31 |
C | is supported by hardware. | |
C | allows for I/O to overlap computation where that |
| 32 |
C | Aside from the problem specific term the code here | |
C | is supported by hardware. |
| 33 |
C | forms the tendency terms due to advection and mixing | |
C | Aside from the problem specific term the code here |
| 34 |
C | The baseline implementation here uses a centered | |
C | forms the tendency terms due to advection and mixing |
| 35 |
C | difference form for the advection term and a tensorial | |
C | The baseline implementation here uses a centered |
| 36 |
C | divergence of a flux form for the diffusive term. The | |
C | difference form for the advection term and a tensorial |
| 37 |
C | diffusive term is formulated so that isopycnal mixing and| |
C | divergence of a flux form for the diffusive term. The |
| 38 |
C | GM-style subgrid-scale terms can be incorporated b simply| |
C | diffusive term is formulated so that isopycnal mixing and |
| 39 |
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" |
| 48 |
#include "DYNVARS.h" |
#include "DYNVARS.h" |
| 49 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
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#include "PARAMS.h" |
#include "PARAMS.h" |
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#include "GRID.h" |
#ifdef ALLOW_GENERIC_ADVDIFF |
| 52 |
#include "FFIELDS.h" |
#include "GAD.h" |
| 53 |
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#endif |
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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# include "tamc_keys.h" |
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#endif |
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C !INPUT/OUTPUT PARAMETERS: |
| 60 |
C == Routine arguments == |
C == Routine arguments == |
| 61 |
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. |
| 64 |
C maskC - Land mask for salt cells (used in TOP_LAYER only) |
C xA :: Tracer cell face area normal to X |
| 65 |
C xA - Tracer cell face area normal to X |
C yA :: Tracer cell face area normal to X |
| 66 |
C yA - Tracer cell face area normal to X |
C uTrans :: Zonal volume transport through cell face |
| 67 |
C uTrans - Zonal volume transport through cell face |
C vTrans :: Meridional volume transport through cell face |
| 68 |
C vTrans - Meridional volume transport through cell face |
C rTrans :: Vertical volume transport at interface k |
| 69 |
C wTrans - 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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| 71 |
C results will be set. |
C results will be set. |
| 72 |
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) |
| 74 |
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 75 |
_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 76 |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 77 |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 78 |
_RL wTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 79 |
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_RL rTransKp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 80 |
_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 81 |
_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,Nz) |
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_RL K23 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) |
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_RL KappaZS(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) |
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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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| 82 |
INTEGER k,kUp,kDown,kM1 |
INTEGER k,kUp,kDown,kM1 |
| 83 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 84 |
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_RL myTime |
| 85 |
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INTEGER myIter |
| 86 |
INTEGER myThid |
INTEGER myThid |
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CEndOfInterface |
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| 87 |
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| 88 |
C == Local variables == |
CEOP |
| 89 |
C I, J, K - Loop counters |
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| 90 |
INTEGER i,j |
#ifdef ALLOW_GENERIC_ADVDIFF |
| 91 |
LOGICAL TOP_LAYER |
C === Local variables === |
| 92 |
_RL afFacS, dfFacS |
LOGICAL calcAdvection |
| 93 |
_RL dSdx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
INTEGER iterNb |
| 94 |
_RL dSdy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 95 |
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INTEGER m1, m2 |
| 96 |
afFacS = 1. _d 0 |
#endif |
| 97 |
dfFacS = 1. _d 0 |
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| 98 |
TOP_LAYER = K .EQ. 1 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 99 |
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act1 = bi - myBxLo(myThid) |
| 100 |
C--- Calculate advective and diffusive fluxes between cells. |
max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
| 101 |
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act2 = bj - myByLo(myThid) |
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C-- Zonal flux (fZon is at west face of "salt" cell) |
max2 = myByHi(myThid) - myByLo(myThid) + 1 |
| 103 |
C Advective component of zonal flux |
act3 = myThid - 1 |
| 104 |
DO j=jMin,jMax |
max3 = nTx*nTy |
| 105 |
DO i=iMin,iMax |
act4 = ikey_dynamics - 1 |
| 106 |
af(i,j) = |
itdkey = (act1 + 1) + act2*max1 |
| 107 |
& uTrans(i,j)*(salt(i,j,k,bi,bj)+salt(i-1,j,k,bi,bj))*0.5 _d 0 |
& + act3*max1*max2 |
| 108 |
ENDDO |
& + act4*max1*max2*max3 |
| 109 |
ENDDO |
kkey = (itdkey-1)*Nr + k |
| 110 |
C Zonal tracer gradient |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 111 |
DO j=jMin,jMax |
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| 112 |
DO i=iMin,iMax |
#ifdef ALLOW_AUTODIFF_TAMC |
| 113 |
dSdx(i,j) = _rdxC(i,j,bi,bj)* |
C-- only the kUp part of fverS is set in this subroutine |
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& (salt(i,j,k,bi,bj)-salt(i-1,j,k,bi,bj)) |
C-- the kDown is still required |
| 115 |
ENDDO |
fVerS(1,1,kDown) = fVerS(1,1,kDown) |
| 116 |
ENDDO |
# ifdef NONLIN_FRSURF |
| 117 |
C Diffusive component of zonal flux |
CADJ STORE fVerS(:,:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 118 |
DO j=jMin,jMax |
# endif |
| 119 |
DO i=iMin,iMax |
#endif |
| 120 |
df(i,j) = -(diffKhS+0.5*(KapGM(i,j)+KapGM(i-1,j)))* |
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| 121 |
& xA(i,j)*dSdx(i,j) |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 122 |
ENDDO |
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| 123 |
ENDDO |
calcAdvection = saltAdvection .AND. .NOT.saltMultiDimAdvec |
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C Net zonal flux |
iterNb = myIter |
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DO j=jMin,jMax |
IF (staggerTimeStep) iterNb = myIter - 1 |
| 126 |
DO i=iMin,iMax |
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| 127 |
fZon(i,j) = afFacS*af(i,j) + dfFacS*df(i,j) |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 128 |
ENDDO |
m1 = 1 + MOD(iterNb+1,2) |
| 129 |
ENDDO |
m2 = 1 + MOD( iterNb ,2) |
| 130 |
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CALL GAD_CALC_RHS( |
| 131 |
C-- Meridional flux (fMer is at south face of "salt" cell) |
I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
| 132 |
C Advective component of meridional flux |
I xA,yA,uTrans,vTrans,rTrans,rTransKp1,maskUp, |
| 133 |
DO j=jMin,jMax |
I uVel, vVel, wVel, |
| 134 |
DO i=iMin,iMax |
I diffKhS, diffK4S, KappaRS, |
| 135 |
C Advective component of meridional flux |
I gsNm(1-Olx,1-Oly,1,1,1,m2), salt, |
| 136 |
af(i,j) = |
I GAD_SALINITY, saltAdvScheme, saltVertAdvScheme, |
| 137 |
& vTrans(i,j)*(salt(i,j,k,bi,bj)+salt(i,j-1,k,bi,bj))*0.5 _d 0 |
I calcAdvection, saltImplVertAdv, AdamsBashforth_S, |
| 138 |
ENDDO |
U fVerS, gS, |
| 139 |
ENDDO |
I myTime, myIter, myThid ) |
| 140 |
C Zonal tracer gradient |
#else /* ALLOW_ADAMSBASHFORTH_3 */ |
| 141 |
DO j=jMin,jMax |
CALL GAD_CALC_RHS( |
| 142 |
DO i=iMin,iMax |
I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
| 143 |
dSdy(i,j) = _rdyC(i,j,bi,bj)* |
I xA,yA,uTrans,vTrans,rTrans,rTransKp1,maskUp, |
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& (salt(i,j,k,bi,bj)-salt(i,j-1,k,bi,bj)) |
I uVel, vVel, wVel, |
| 145 |
ENDDO |
I diffKhS, diffK4S, KappaRS, gsNm1, salt, |
| 146 |
ENDDO |
I GAD_SALINITY, saltAdvScheme, saltVertAdvScheme, |
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C Diffusive component of meridional flux |
I calcAdvection, saltImplVertAdv, AdamsBashforth_S, |
| 148 |
DO j=jMin,jMax |
U fVerS, gS, |
| 149 |
DO i=iMin,iMax |
I myTime, myIter, myThid ) |
| 150 |
df(i,j) = -(diffKhS+0.5*(KapGM(i,j)+KapGM(i,j-1)))* |
#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
| 151 |
& yA(i,j)*dSdy(i,j) |
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| 152 |
ENDDO |
C-- External salinity forcing term(s) inside Adams-Bashforth: |
| 153 |
ENDDO |
IF ( saltForcing .AND. forcing_In_AB ) |
| 154 |
C Net meridional flux |
& CALL EXTERNAL_FORCING_S( |
| 155 |
DO j=jMin,jMax |
I iMin,iMax,jMin,jMax,bi,bj,k, |
| 156 |
DO i=iMin,iMax |
I myTime,myThid) |
| 157 |
fMer(i,j) = afFacS*af(i,j) + dfFacS*df(i,j) |
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| 158 |
ENDDO |
IF ( AdamsBashforthGs ) THEN |
| 159 |
ENDDO |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 160 |
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CALL ADAMS_BASHFORTH3( |
| 161 |
C-- Interpolate terms for Redi/GM scheme |
I bi, bj, k, |
| 162 |
DO j=jMin,jMax |
U gS, gsNm, |
| 163 |
DO i=iMin,iMax |
I saltStartAB, iterNb, myThid ) |
| 164 |
dSdx(i,j) = 0.5*( |
#else |
| 165 |
& +0.5*(_maskW(i+1,j,k,bi,bj)*_rdxC(i+1,j,bi,bj)* |
CALL ADAMS_BASHFORTH2( |
| 166 |
& (salt(i+1,j,k,bi,bj)-salt(i,j,k,bi,bj)) |
I bi, bj, k, |
| 167 |
& +_maskW(i,j,k,bi,bj)*_rdxC(i,j,bi,bj)* |
U gS, gsNm1, |
| 168 |
& (salt(i,j,k,bi,bj)-salt(i-1,j,k,bi,bj))) |
I iterNb, myThid ) |
| 169 |
& +0.5*(_maskW(i+1,j,km1,bi,bj)*_rdxC(i+1,j,bi,bj)* |
#endif |
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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)*_rdxC(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)*_rdyC(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)*_rdyC(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)*_rdyC(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)*_rdyC(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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& wTrans(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) = _zA(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) + _zA(i,j,bi,bj)*( |
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& -KappaZS(i,j,k)*rdzC(k) |
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& *(salt(i,j,kM1,bi,bj)-salt(i,j,k,bi,bj)) |
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& ) |
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ENDDO |
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ENDDO |
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ENDIF |
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C Net vertical flux |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fVerS(i,j,kUp) = ( afFacS*af(i,j)+ dfFacS*df(i,j) )*maskUp(i,j) |
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ENDDO |
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ENDDO |
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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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fVerS(i,j,kUp) = afFacS*af(i,j)*freeSurfFac |
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ENDDO |
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ENDDO |
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| 170 |
ENDIF |
ENDIF |
| 171 |
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| 172 |
C-- Tendency is minus divergence of the fluxes. |
C-- External salinity forcing term(s) outside Adams-Bashforth: |
| 173 |
C Note. Tendency terms will only be correct for range |
IF ( saltForcing .AND. .NOT.forcing_In_AB ) |
| 174 |
C i=iMin+1:iMax-1, j=jMin+1:jMax-1. Edge points |
& CALL EXTERNAL_FORCING_S( |
| 175 |
C will contain valid floating point numbers but |
I iMin,iMax,jMin,jMax,bi,bj,k, |
| 176 |
C they are not algorithmically correct. These points |
I myTime,myThid) |
| 177 |
C are not used. |
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| 178 |
DO j=jMin,jMax |
#ifdef NONLIN_FRSURF |
| 179 |
DO i=iMin,iMax |
IF (nonlinFreeSurf.GT.0) THEN |
| 180 |
C & -_rhFacC(i,j,k,bi,bj)*rdzF(k)*_rdxF(i,j,bi,bj)*_rdyF(i,j,bi,bj) |
CALL FREESURF_RESCALE_G( |
| 181 |
C & -_rhFacC(i,j,k,bi,bj)*rdzF(k)/_zA(i,j,bi,bj) |
I bi, bj, k, |
| 182 |
C #define _rVolS(i,j,k,bi,bj) _rhFacC(i,j,k,bi,bj)*rdzF(k)*_rdxF(i,j,bi,bj)*_rdyF(i,j,bi,bj) |
U gS, |
| 183 |
#define _rVolS(i,j,k,bi,bj) _rhFacC(i,j,k,bi,bj)*rdzF(k)/_zA(i,j,bi,bj) |
I myThid ) |
| 184 |
gS(i,j,k,bi,bj)= |
IF ( AdamsBashforthGs ) THEN |
| 185 |
& -_rVolS(i,j,k,bi,bj) |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 186 |
& *( |
CALL FREESURF_RESCALE_G( |
| 187 |
& +( fZon(i+1,j)-fZon(i,j) ) |
I bi, bj, k, |
| 188 |
& +( fMer(i,j+1)-fMer(i,j) ) |
U gsNm(1-OLx,1-OLy,1,1,1,1), |
| 189 |
& +( fVerS(i,j,kUp)-fVerS(i,j,kDown) ) |
I myThid ) |
| 190 |
& ) |
CALL FREESURF_RESCALE_G( |
| 191 |
ENDDO |
I bi, bj, k, |
| 192 |
ENDDO |
U gsNm(1-OLx,1-OLy,1,1,1,2), |
| 193 |
|
I myThid ) |
| 194 |
C-- External P-E forcing term(s) |
#else |
| 195 |
C o Surface relaxation term |
CALL FREESURF_RESCALE_G( |
| 196 |
IF ( TOP_LAYER ) THEN |
I bi, bj, k, |
| 197 |
DO j=jMin,jMax |
U gsNm1, |
| 198 |
DO i=iMin,iMax |
I myThid ) |
| 199 |
gS(i,j,k,bi,bj)=gS(i,j,k,bi,bj) |
#endif |
| 200 |
& +maskC(i,j)*( |
ENDIF |
|
& -lambdaSaltClimRelax*(salt(i,j,k,bi,bj)-SSS(i,j,bi,bj)) |
|
|
& +EmPmR(i,j,bi,bj) ) |
|
|
ENDDO |
|
|
ENDDO |
|
| 201 |
ENDIF |
ENDIF |
| 202 |
|
#endif /* NONLIN_FRSURF */ |
| 203 |
|
|
| 204 |
|
#endif /* ALLOW_GENERIC_ADVDIFF */ |
| 205 |
|
|
| 206 |
RETURN |
RETURN |
| 207 |
END |
END |
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