| 1 |
C $Header: /u/gcmpack/MITgcm/model/src/find_rho.F,v 1.42 2014/04/04 20:56:32 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "PACKAGES_CONFIG.h" |
| 5 |
#include "CPP_OPTIONS.h" |
| 6 |
#ifdef TARGET_NEC_SX |
| 7 |
C make sure that the factorized EOS is used on NEC vector computers |
| 8 |
# define USE_FACTORIZED_EOS |
| 9 |
#endif |
| 10 |
C this was the default, so we keep it that way |
| 11 |
#define USE_FACTORIZED_POLY |
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|
| 13 |
C-- File find_rho.F: Routines to compute density |
| 14 |
C-- Contents |
| 15 |
C-- o FIND_RHO_2D |
| 16 |
C-- o FIND_RHOP0 |
| 17 |
C-- o FIND_BULKMOD |
| 18 |
C-- o FIND_RHONUM |
| 19 |
C-- o FIND_RHODEN |
| 20 |
C-- o FIND_RHO_SCALAR: in-situ density for individual points |
| 21 |
C-- o LOOK_FOR_NEG_SALINITY |
| 22 |
|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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CBOP |
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C !ROUTINE: FIND_RHO_2D |
| 26 |
C !INTERFACE: |
| 27 |
SUBROUTINE FIND_RHO_2D( |
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I iMin, iMax, jMin, jMax, kRef, |
| 29 |
I tFld, sFld, |
| 30 |
O rhoLoc, |
| 31 |
I k, bi, bj, myThid ) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | o SUBROUTINE FIND_RHO_2D |
| 36 |
C | Calculates [rho(S,T,z)-rhoConst] of a 2-D slice |
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C *==========================================================* |
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C | kRef - determines pressure reference level |
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C | (not used in 'LINEAR' mode) |
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C | Note: k is not used ; keep it for debugging. |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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C == Global variables == |
| 47 |
#include "SIZE.h" |
| 48 |
#include "EEPARAMS.h" |
| 49 |
#include "PARAMS.h" |
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#include "EOS.h" |
| 51 |
|
| 52 |
C !INPUT/OUTPUT PARAMETERS: |
| 53 |
C == Routine arguments == |
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C k :: Level of Theta/Salt slice |
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C kRef :: Pressure reference level |
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INTEGER iMin,iMax,jMin,jMax |
| 57 |
INTEGER kRef |
| 58 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 59 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 60 |
_RL rhoLoc(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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INTEGER k, bi, bj |
| 62 |
INTEGER myThid |
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|
| 64 |
C !LOCAL VARIABLES: |
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C == Local variables == |
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INTEGER i,j |
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_RL refTemp,refSalt,sigRef,tP,sP,deltaSig,dRho |
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_RL oneMinusKap, facPres, theta_v |
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_RL locPres(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rhoP0 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL bulkMod(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rhoNum (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rhoDen (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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CEOP |
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|
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#ifdef ALLOW_AUTODIFF |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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rhoLoc(i,j) = 0. _d 0 |
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rhoP0(i,j) = 0. _d 0 |
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bulkMod(i,j) = 0. _d 0 |
| 83 |
ENDDO |
| 84 |
ENDDO |
| 85 |
#endif |
| 86 |
|
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#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
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CALL LOOK_FOR_NEG_SALINITY( |
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I iMin, iMax, jMin, jMax, |
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U sFld, |
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I k, bi, bj, myThid ) |
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#endif |
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|
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IF (equationOfState.EQ.'LINEAR') THEN |
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|
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C ***NOTE*** |
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C In the linear EOS, to make the static stability calculation meaningful |
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C we use reference temp & salt from level kRef ; |
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C ********** |
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refTemp=tRef(kRef) |
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refSalt=sRef(kRef) |
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|
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dRho = rhoNil-rhoConst |
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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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rhoLoc(i,j)=rhoNil*( |
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& sBeta*(sFld(i,j)-refSalt) |
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& -tAlpha*(tFld(i,j)-refTemp) ) |
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& + dRho |
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ENDDO |
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ENDDO |
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|
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ELSEIF (equationOfState.EQ.'POLY3') THEN |
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|
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refTemp=eosRefT(kRef) |
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refSalt=eosRefS(kRef) |
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sigRef=eosSig0(kRef) + (1000.-rhoConst) |
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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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tP=tFld(i,j)-refTemp |
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sP=sFld(i,j)-refSalt |
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#ifdef USE_FACTORIZED_POLY |
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deltaSig= |
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& (( eosC(9,kRef)*sP + eosC(5,kRef) )*sP + eosC(2,kRef) )*sP |
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& + ( ( eosC(6,kRef) |
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& *tP |
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& +eosC(7,kRef)*sP + eosC(3,kRef) |
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& )*tP |
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& +(eosC(8,kRef)*sP + eosC(4,kRef) )*sP + eosC(1,kRef) |
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& )*tP |
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#else |
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deltaSig= |
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& eosC(1,kRef)*tP |
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& +eosC(2,kRef) *sP |
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& +eosC(3,kRef)*tP*tP |
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& +eosC(4,kRef)*tP *sP |
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& +eosC(5,kRef) *sP*sP |
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& +eosC(6,kRef)*tP*tP*tP |
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& +eosC(7,kRef)*tP*tP *sP |
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& +eosC(8,kRef)*tP *sP*sP |
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& +eosC(9,kRef) *sP*sP*sP |
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#endif |
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rhoLoc(i,j)=sigRef+deltaSig |
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ENDDO |
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ENDDO |
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|
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ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
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& .OR. equationOfState.EQ.'UNESCO' ) THEN |
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C nonlinear equation of state in pressure coordinates |
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|
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CALL PRESSURE_FOR_EOS( |
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
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O locPres, |
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I myThid ) |
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|
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CALL FIND_RHOP0( |
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I iMin, iMax, jMin, jMax, |
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I tFld, sFld, |
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O rhoP0, |
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I myThid ) |
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|
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CALL FIND_BULKMOD( |
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I iMin, iMax, jMin, jMax, |
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I locPres, tFld, sFld, |
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O bulkMod, |
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I myThid ) |
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|
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c#ifdef ALLOW_AUTODIFF_TAMC |
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cph can not DO storing here since find_rho is called multiple times; |
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cph additional recomp. should be acceptable |
| 173 |
c#endif /* ALLOW_AUTODIFF_TAMC */ |
| 174 |
DO j=jMin,jMax |
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DO i=iMin,iMax |
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|
| 177 |
C density of sea water at pressure p |
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rhoLoc(i,j) = rhoP0(i,j) |
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& /(1. _d 0 - |
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& locPres(i,j)*SItoBar/bulkMod(i,j) ) |
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& - rhoConst |
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|
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ENDDO |
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ENDDO |
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|
| 186 |
ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
| 187 |
|
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CALL PRESSURE_FOR_EOS( |
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 190 |
O locPres, |
| 191 |
I myThid ) |
| 192 |
|
| 193 |
CALL FIND_RHONUM( |
| 194 |
I iMin, iMax, jMin, jMax, |
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I locPres, tFld, sFld, |
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O rhoNum, |
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I myThid ) |
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|
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CALL FIND_RHODEN( |
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I iMin, iMax, jMin, jMax, |
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I locPres, tFld, sFld, |
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O rhoDen, |
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I myThid ) |
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|
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c#ifdef ALLOW_AUTODIFF_TAMC |
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cph can not DO storing here since find_rho is called multiple times; |
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cph additional recomp. should be acceptable |
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c#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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rhoLoc(i,j) = rhoNum(i,j)*rhoDen(i,j) - rhoConst |
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ENDDO |
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ENDDO |
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|
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ELSEIF ( equationOfState.EQ.'TEOS10' ) THEN |
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|
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CALL PRESSURE_FOR_EOS( |
| 218 |
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
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O locPres, |
| 220 |
I myThid ) |
| 221 |
|
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CALL FIND_RHOTEOS( |
| 223 |
I iMin, iMax, jMin, jMax, |
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I locPres, tFld, sFld, |
| 225 |
O rhoNum, rhoDen, |
| 226 |
I myThid ) |
| 227 |
|
| 228 |
c#ifdef ALLOW_AUTODIFF_TAMC |
| 229 |
cph can not DO storing here since find_rho is called multiple times; |
| 230 |
cph additional recomp. should be acceptable |
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c#endif /* ALLOW_AUTODIFF_TAMC */ |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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rhoLoc(i,j) = rhoNum(i,j)*rhoDen(i,j) - rhoConst |
| 235 |
ENDDO |
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ENDDO |
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|
| 238 |
ELSEIF( equationOfState .EQ. 'IDEALG' ) THEN |
| 239 |
|
| 240 |
CALL PRESSURE_FOR_EOS( |
| 241 |
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 242 |
O locPres, |
| 243 |
I myThid ) |
| 244 |
|
| 245 |
oneMinusKap = oneRL - atm_kappa |
| 246 |
C rho = P/(R*T_v) = Po/(R*theta_v)*(P/Po)^(1-kappa) |
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DO j=jMin,jMax |
| 248 |
DO i=iMin,iMax |
| 249 |
IF ( locPres(i,j).GT.zeroRL .AND. tFld(i,j).GT.zeroRL ) THEN |
| 250 |
facPres = ( locPres(i,j)/atm_Po )**oneMinusKap |
| 251 |
theta_v = tFld(i,j)*( sFld(i,j)*atm_Rq + oneRL ) |
| 252 |
rhoLoc(i,j) = atm_Po*facPres |
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& /( atm_Rd*theta_v ) - rhoConst |
| 254 |
ELSE |
| 255 |
rhoLoc(i,j) = zeroRL |
| 256 |
ENDIF |
| 257 |
ENDDO |
| 258 |
ENDDO |
| 259 |
|
| 260 |
ELSE |
| 261 |
WRITE(msgBuf,'(3a)') |
| 262 |
& ' FIND_RHO_2D: equationOfState = "',equationOfState,'"' |
| 263 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 264 |
STOP 'ABNORMAL END: S/R FIND_RHO_2D' |
| 265 |
ENDIF |
| 266 |
|
| 267 |
RETURN |
| 268 |
END |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 271 |
CBOP |
| 272 |
C !ROUTINE: FIND_RHOP0 |
| 273 |
C !INTERFACE: |
| 274 |
SUBROUTINE FIND_RHOP0( |
| 275 |
I iMin, iMax, jMin, jMax, |
| 276 |
I tFld, sFld, |
| 277 |
O rhoP0, |
| 278 |
I myThid ) |
| 279 |
|
| 280 |
C !DESCRIPTION: \bv |
| 281 |
C *==========================================================* |
| 282 |
C | o SUBROUTINE FIND_RHOP0 |
| 283 |
C | Calculates rho(S,T,0) of a slice |
| 284 |
C *==========================================================* |
| 285 |
C *==========================================================* |
| 286 |
C \ev |
| 287 |
|
| 288 |
C !USES: |
| 289 |
IMPLICIT NONE |
| 290 |
C == Global variables == |
| 291 |
#include "SIZE.h" |
| 292 |
#include "EEPARAMS.h" |
| 293 |
#include "PARAMS.h" |
| 294 |
#include "EOS.h" |
| 295 |
|
| 296 |
C !INPUT/OUTPUT PARAMETERS: |
| 297 |
C == Routine arguments == |
| 298 |
INTEGER iMin,iMax,jMin,jMax |
| 299 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 300 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 301 |
_RL rhoP0(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 302 |
INTEGER myThid |
| 303 |
|
| 304 |
C !LOCAL VARIABLES: |
| 305 |
C == Local variables == |
| 306 |
INTEGER i,j |
| 307 |
_RL rfresh, rsalt |
| 308 |
_RL t, t2, t3, t4, s, s3o2 |
| 309 |
#ifdef USE_FACTORIZED_EOS |
| 310 |
_RL eosF1, eosF2, eosF3, eosF4, eosF5, eosF6 |
| 311 |
_RL eosS1, eosS2, eosS3, eosS4, eosS5, eosS6 |
| 312 |
_RL eosS7, eosS8, eosS9 |
| 313 |
#endif /* USE_FACTORIZED_EOS */ |
| 314 |
CEOP |
| 315 |
#ifdef USE_FACTORIZED_EOS |
| 316 |
eosF1 = eosJMDCFw(1) |
| 317 |
eosF2 = eosJMDCFw(2) |
| 318 |
eosF3 = eosJMDCFw(3) |
| 319 |
eosF4 = eosJMDCFw(4) |
| 320 |
eosF5 = eosJMDCFw(5) |
| 321 |
eosF6 = eosJMDCFw(6) |
| 322 |
eosS1 = eosJMDCSw(1) |
| 323 |
eosS2 = eosJMDCSw(2) |
| 324 |
eosS3 = eosJMDCSw(3) |
| 325 |
eosS4 = eosJMDCSw(4) |
| 326 |
eosS5 = eosJMDCSw(5) |
| 327 |
eosS6 = eosJMDCSw(6) |
| 328 |
eosS7 = eosJMDCSw(7) |
| 329 |
eosS8 = eosJMDCSw(8) |
| 330 |
eosS9 = eosJMDCSw(9) |
| 331 |
#endif /* USE_FACTORIZED_EOS */ |
| 332 |
|
| 333 |
DO j=jMin,jMax |
| 334 |
DO i=iMin,iMax |
| 335 |
C abbreviations |
| 336 |
t = tFld(i,j) |
| 337 |
t2 = t*t |
| 338 |
t3 = t2*t |
| 339 |
t4 = t3*t |
| 340 |
|
| 341 |
#if (defined ALLOW_AUTODIFF && defined TARGET_NEC_SX) |
| 342 |
C this line makes TAF create vectorizable code |
| 343 |
s3o2 = 0. _d 0 |
| 344 |
#endif |
| 345 |
s = sFld(i,j) |
| 346 |
IF ( s .GT. 0. _d 0 ) THEN |
| 347 |
s3o2 = s*SQRT(s) |
| 348 |
ELSE |
| 349 |
s = 0. _d 0 |
| 350 |
s3o2 = 0. _d 0 |
| 351 |
ENDIF |
| 352 |
|
| 353 |
C density of freshwater at the surface |
| 354 |
#ifdef USE_FACTORIZED_EOS |
| 355 |
rfresh = |
| 356 |
& eosF1 + |
| 357 |
& t* ( eosF2 + |
| 358 |
& t* ( eosF3 + |
| 359 |
& t* ( eosF4 + |
| 360 |
& t* ( eosF5 + |
| 361 |
& t* eosF6 )))) |
| 362 |
#else |
| 363 |
rfresh = |
| 364 |
& eosJMDCFw(1) |
| 365 |
& + eosJMDCFw(2)*t |
| 366 |
& + eosJMDCFw(3)*t2 |
| 367 |
& + eosJMDCFw(4)*t3 |
| 368 |
& + eosJMDCFw(5)*t4 |
| 369 |
& + eosJMDCFw(6)*t4*t |
| 370 |
#endif /* USE_FACTORIZED_EOS */ |
| 371 |
C density of sea water at the surface |
| 372 |
#ifdef USE_FACTORIZED_EOS |
| 373 |
rsalt = s * ( eosS1 + |
| 374 |
& t * ( eosS2 + |
| 375 |
& t * ( eosS3 + |
| 376 |
& t * ( eosS4 + |
| 377 |
& t * eosS5 )))) |
| 378 |
& + s3o2 * ( eosS6 + |
| 379 |
& t * ( eosS7 + |
| 380 |
& t * eosS8 )) |
| 381 |
& + s*s * eosS9 |
| 382 |
#else |
| 383 |
rsalt = |
| 384 |
& s*( |
| 385 |
& eosJMDCSw(1) |
| 386 |
& + eosJMDCSw(2)*t |
| 387 |
& + eosJMDCSw(3)*t2 |
| 388 |
& + eosJMDCSw(4)*t3 |
| 389 |
& + eosJMDCSw(5)*t4 |
| 390 |
& ) |
| 391 |
& + s3o2*( |
| 392 |
& eosJMDCSw(6) |
| 393 |
& + eosJMDCSw(7)*t |
| 394 |
& + eosJMDCSw(8)*t2 |
| 395 |
& ) |
| 396 |
& + eosJMDCSw(9)*s*s |
| 397 |
#endif /* USE_FACTORIZED_EOS */ |
| 398 |
|
| 399 |
rhoP0(i,j) = rfresh + rsalt |
| 400 |
|
| 401 |
ENDDO |
| 402 |
ENDDO |
| 403 |
|
| 404 |
RETURN |
| 405 |
END |
| 406 |
|
| 407 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 408 |
CBOP |
| 409 |
C !ROUTINE: FIND_BULKMOD |
| 410 |
C !INTERFACE: |
| 411 |
SUBROUTINE FIND_BULKMOD( |
| 412 |
I iMin, iMax, jMin, jMax, |
| 413 |
I locPres, tFld, sFld, |
| 414 |
O bulkMod, |
| 415 |
I myThid ) |
| 416 |
|
| 417 |
C !DESCRIPTION: \bv |
| 418 |
C *==========================================================* |
| 419 |
C | o SUBROUTINE FIND_BULKMOD |
| 420 |
C | Calculates the secant bulk modulus K(S,T,p) of a slice |
| 421 |
C *==========================================================* |
| 422 |
C | k - is the level of Theta/Salt slice |
| 423 |
C *==========================================================* |
| 424 |
C \ev |
| 425 |
|
| 426 |
C !USES: |
| 427 |
IMPLICIT NONE |
| 428 |
C == Global variables == |
| 429 |
#include "SIZE.h" |
| 430 |
#include "EEPARAMS.h" |
| 431 |
#include "PARAMS.h" |
| 432 |
#include "EOS.h" |
| 433 |
|
| 434 |
C !INPUT/OUTPUT PARAMETERS: |
| 435 |
C == Routine arguments == |
| 436 |
INTEGER iMin,iMax,jMin,jMax |
| 437 |
_RL locPres(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 438 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 439 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 440 |
_RL bulkMod(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 441 |
INTEGER myThid |
| 442 |
|
| 443 |
C !LOCAL VARIABLES: |
| 444 |
C == Local variables == |
| 445 |
INTEGER i,j |
| 446 |
_RL bMfresh, bMsalt, bMpres |
| 447 |
_RL t, t2, t3, t4, s, s3o2, p, p2 |
| 448 |
#ifdef USE_FACTORIZED_EOS |
| 449 |
_RL eosF1, eosF2, eosF3, eosF4, eosF5 |
| 450 |
_RL eosS1, eosS2, eosS3, eosS4, eosS5, eosS6, eosS7 |
| 451 |
_RL eosP1, eosP2, eosP3, eosP4, eosP5, eosP6, eosP7 |
| 452 |
_RL eosP8, eosP9, eosP10, eosP11, eosP12, eosP13, eosP14 |
| 453 |
#endif /* USE_FACTORIZED_EOS */ |
| 454 |
CEOP |
| 455 |
#ifdef USE_FACTORIZED_EOS |
| 456 |
eosF1 = eosJMDCKFw(1) |
| 457 |
eosF2 = eosJMDCKFw(2) |
| 458 |
eosF3 = eosJMDCKFw(3) |
| 459 |
eosF4 = eosJMDCKFw(4) |
| 460 |
eosF5 = eosJMDCKFw(5) |
| 461 |
|
| 462 |
eosS1 = eosJMDCKSw(1) |
| 463 |
eosS2 = eosJMDCKSw(2) |
| 464 |
eosS3 = eosJMDCKSw(3) |
| 465 |
eosS4 = eosJMDCKSw(4) |
| 466 |
eosS5 = eosJMDCKSw(5) |
| 467 |
eosS6 = eosJMDCKSw(6) |
| 468 |
eosS7 = eosJMDCKSw(7) |
| 469 |
|
| 470 |
eosP1 =eosJMDCKP(1) |
| 471 |
eosP2 =eosJMDCKP(2) |
| 472 |
eosP3 =eosJMDCKP(3) |
| 473 |
eosP4 =eosJMDCKP(4) |
| 474 |
eosP5 =eosJMDCKP(5) |
| 475 |
eosP6 =eosJMDCKP(6) |
| 476 |
eosP7 =eosJMDCKP(7) |
| 477 |
eosP8 =eosJMDCKP(8) |
| 478 |
eosP9 =eosJMDCKP(9) |
| 479 |
eosP10 =eosJMDCKP(10) |
| 480 |
eosP11 =eosJMDCKP(11) |
| 481 |
eosP12 =eosJMDCKP(12) |
| 482 |
eosP13 =eosJMDCKP(13) |
| 483 |
eosP14 =eosJMDCKP(14) |
| 484 |
#endif /* USE_FACTORIZED_EOS */ |
| 485 |
|
| 486 |
DO j=jMin,jMax |
| 487 |
DO i=iMin,iMax |
| 488 |
C abbreviations |
| 489 |
t = tFld(i,j) |
| 490 |
t2 = t*t |
| 491 |
t3 = t2*t |
| 492 |
t4 = t3*t |
| 493 |
|
| 494 |
#if (defined ALLOW_AUTODIFF && defined TARGET_NEC_SX) |
| 495 |
C this line makes TAF create vectorizable code |
| 496 |
s3o2 = 0. _d 0 |
| 497 |
#endif |
| 498 |
s = sFld(i,j) |
| 499 |
IF ( s .GT. 0. _d 0 ) THEN |
| 500 |
s3o2 = s*SQRT(s) |
| 501 |
ELSE |
| 502 |
s = 0. _d 0 |
| 503 |
s3o2 = 0. _d 0 |
| 504 |
ENDIF |
| 505 |
C |
| 506 |
p = locPres(i,j)*SItoBar |
| 507 |
p2 = p*p |
| 508 |
C secant bulk modulus of fresh water at the surface |
| 509 |
#ifdef USE_FACTORIZED_EOS |
| 510 |
bMfresh = eosF1 + |
| 511 |
& t * ( eosF2 + |
| 512 |
& t * ( eosF3 + |
| 513 |
& t * ( eosF4 + |
| 514 |
& t * eosF5 ))) |
| 515 |
#else |
| 516 |
bMfresh = |
| 517 |
& eosJMDCKFw(1) |
| 518 |
& + eosJMDCKFw(2)*t |
| 519 |
& + eosJMDCKFw(3)*t2 |
| 520 |
& + eosJMDCKFw(4)*t3 |
| 521 |
& + eosJMDCKFw(5)*t4 |
| 522 |
#endif /* USE_FACTORIZED_EOS */ |
| 523 |
C secant bulk modulus of sea water at the surface |
| 524 |
#ifdef USE_FACTORIZED_EOS |
| 525 |
bMsalt = s * ( eosS1 + |
| 526 |
& t * ( eosS2 + |
| 527 |
& t * ( eosS3 + |
| 528 |
& t * eosS4 ))) |
| 529 |
& + s3o2* ( eosS5 + |
| 530 |
& t * ( eosS6 + |
| 531 |
& t * eosS7 )) |
| 532 |
C secant bulk modulus of sea water at pressure p |
| 533 |
bMpres = p * ( eosP1 + |
| 534 |
& t * ( eosP2 + |
| 535 |
& t * ( eosP3 + |
| 536 |
& t * eosP4 ))) |
| 537 |
& + p*s* ( eosP5 + |
| 538 |
& t * ( eosP6 + |
| 539 |
& t * eosP7 )) |
| 540 |
& + p*s3o2*eosP8 |
| 541 |
& + p2 * ( eosP9 + |
| 542 |
& t * ( eosP10 + |
| 543 |
& t * eosP11 )) |
| 544 |
& + p2*s* ( eosP12 + |
| 545 |
& t * ( eosP13 + |
| 546 |
& t * eosP14 )) |
| 547 |
#else |
| 548 |
C secant bulk modulus of sea water at the surface |
| 549 |
bMsalt = |
| 550 |
& s*( eosJMDCKSw(1) |
| 551 |
& + eosJMDCKSw(2)*t |
| 552 |
& + eosJMDCKSw(3)*t2 |
| 553 |
& + eosJMDCKSw(4)*t3 |
| 554 |
& ) |
| 555 |
& + s3o2*( eosJMDCKSw(5) |
| 556 |
& + eosJMDCKSw(6)*t |
| 557 |
& + eosJMDCKSw(7)*t2 |
| 558 |
& ) |
| 559 |
C secant bulk modulus of sea water at pressure p |
| 560 |
bMpres = |
| 561 |
& p*( eosJMDCKP(1) |
| 562 |
& + eosJMDCKP(2)*t |
| 563 |
& + eosJMDCKP(3)*t2 |
| 564 |
& + eosJMDCKP(4)*t3 |
| 565 |
& ) |
| 566 |
& + p*s*( eosJMDCKP(5) |
| 567 |
& + eosJMDCKP(6)*t |
| 568 |
& + eosJMDCKP(7)*t2 |
| 569 |
& ) |
| 570 |
& + p*s3o2*eosJMDCKP(8) |
| 571 |
& + p2*( eosJMDCKP(9) |
| 572 |
& + eosJMDCKP(10)*t |
| 573 |
& + eosJMDCKP(11)*t2 |
| 574 |
& ) |
| 575 |
& + p2*s*( eosJMDCKP(12) |
| 576 |
& + eosJMDCKP(13)*t |
| 577 |
& + eosJMDCKP(14)*t2 |
| 578 |
& ) |
| 579 |
#endif /* USE_FACTORIZED_EOS */ |
| 580 |
|
| 581 |
bulkMod(i,j) = bMfresh + bMsalt + bMpres |
| 582 |
|
| 583 |
ENDDO |
| 584 |
ENDDO |
| 585 |
|
| 586 |
RETURN |
| 587 |
END |
| 588 |
|
| 589 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 590 |
CBOP |
| 591 |
C !ROUTINE: FIND_RHONUM |
| 592 |
C !INTERFACE: |
| 593 |
SUBROUTINE FIND_RHONUM( |
| 594 |
I iMin, iMax, jMin, jMax, |
| 595 |
I locPres, tFld, sFld, |
| 596 |
O rhoNum, |
| 597 |
I myThid ) |
| 598 |
|
| 599 |
C !DESCRIPTION: \bv |
| 600 |
C *==========================================================* |
| 601 |
C | o SUBROUTINE FIND_RHONUM |
| 602 |
C | Calculates the numerator of the McDougall et al. |
| 603 |
C | equation of state |
| 604 |
C | - the code is more or less a copy of MOM4 |
| 605 |
C *==========================================================* |
| 606 |
C *==========================================================* |
| 607 |
C \ev |
| 608 |
|
| 609 |
C !USES: |
| 610 |
IMPLICIT NONE |
| 611 |
C == Global variables == |
| 612 |
#include "SIZE.h" |
| 613 |
#include "EEPARAMS.h" |
| 614 |
#include "PARAMS.h" |
| 615 |
#include "EOS.h" |
| 616 |
|
| 617 |
C !INPUT/OUTPUT PARAMETERS: |
| 618 |
C == Routine arguments == |
| 619 |
INTEGER iMin,iMax,jMin,jMax |
| 620 |
_RL locPres(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 621 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 622 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 623 |
_RL rhoNum (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 624 |
INTEGER myThid |
| 625 |
|
| 626 |
C !LOCAL VARIABLES: |
| 627 |
C == Local variables == |
| 628 |
INTEGER i,j |
| 629 |
_RL t1, t2, s1, p1 |
| 630 |
CEOP |
| 631 |
DO j=jMin,jMax |
| 632 |
DO i=iMin,iMax |
| 633 |
C abbreviations |
| 634 |
t1 = tFld(i,j) |
| 635 |
t2 = t1*t1 |
| 636 |
s1 = sFld(i,j) |
| 637 |
|
| 638 |
p1 = locPres(i,j)*SItodBar |
| 639 |
|
| 640 |
rhoNum(i,j) = eosMDJWFnum(0) |
| 641 |
& + t1*(eosMDJWFnum(1) |
| 642 |
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
| 643 |
& + s1*(eosMDJWFnum(4) |
| 644 |
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
| 645 |
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
| 646 |
& + eosMDJWFnum(9)*s1 |
| 647 |
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
| 648 |
|
| 649 |
ENDDO |
| 650 |
ENDDO |
| 651 |
|
| 652 |
RETURN |
| 653 |
END |
| 654 |
|
| 655 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 656 |
CBOP |
| 657 |
C !ROUTINE: FIND_RHODEN |
| 658 |
C !INTERFACE: |
| 659 |
SUBROUTINE FIND_RHODEN( |
| 660 |
I iMin, iMax, jMin, jMax, |
| 661 |
I locPres, tFld, sFld, |
| 662 |
O rhoDen, |
| 663 |
I myThid ) |
| 664 |
|
| 665 |
C !DESCRIPTION: \bv |
| 666 |
C *==========================================================* |
| 667 |
C | o SUBROUTINE FIND_RHODEN |
| 668 |
C | Calculates the denominator of the McDougall et al. |
| 669 |
C | equation of state |
| 670 |
C | - the code is more or less a copy of MOM4 |
| 671 |
C *==========================================================* |
| 672 |
C *==========================================================* |
| 673 |
C \ev |
| 674 |
|
| 675 |
C !USES: |
| 676 |
IMPLICIT NONE |
| 677 |
C == Global variables == |
| 678 |
#include "SIZE.h" |
| 679 |
#include "EEPARAMS.h" |
| 680 |
#include "PARAMS.h" |
| 681 |
#include "EOS.h" |
| 682 |
|
| 683 |
C !INPUT/OUTPUT PARAMETERS: |
| 684 |
C == Routine arguments == |
| 685 |
INTEGER iMin,iMax,jMin,jMax |
| 686 |
_RL locPres(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 687 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 688 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 689 |
_RL rhoDen (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 690 |
INTEGER myThid |
| 691 |
|
| 692 |
C !LOCAL VARIABLES: |
| 693 |
C == Local variables == |
| 694 |
INTEGER i,j |
| 695 |
_RL t1, t2, s1, sp5, p1, p1t1 |
| 696 |
_RL den, epsln |
| 697 |
parameter ( epsln = 0. _d 0 ) |
| 698 |
CEOP |
| 699 |
DO j=jMin,jMax |
| 700 |
DO i=iMin,iMax |
| 701 |
C abbreviations |
| 702 |
t1 = tFld(i,j) |
| 703 |
t2 = t1*t1 |
| 704 |
s1 = sFld(i,j) |
| 705 |
#if (defined ALLOW_AUTODIFF && defined TARGET_NEC_SX) |
| 706 |
C this line makes TAF create vectorizable code |
| 707 |
sp5 = 0. _d 0 |
| 708 |
#endif |
| 709 |
IF ( s1 .GT. 0. _d 0 ) THEN |
| 710 |
sp5 = SQRT(s1) |
| 711 |
ELSE |
| 712 |
s1 = 0. _d 0 |
| 713 |
sp5 = 0. _d 0 |
| 714 |
ENDIF |
| 715 |
|
| 716 |
p1 = locPres(i,j)*SItodBar |
| 717 |
p1t1 = p1*t1 |
| 718 |
|
| 719 |
den = eosMDJWFden(0) |
| 720 |
& + t1*(eosMDJWFden(1) |
| 721 |
& + t1*(eosMDJWFden(2) |
| 722 |
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
| 723 |
& + s1*(eosMDJWFden(5) |
| 724 |
& + t1*(eosMDJWFden(6) |
| 725 |
& + eosMDJWFden(7)*t2) |
| 726 |
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
| 727 |
& + p1*(eosMDJWFden(10) |
| 728 |
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
| 729 |
|
| 730 |
rhoDen(i,j) = 1.0/(epsln+den) |
| 731 |
|
| 732 |
ENDDO |
| 733 |
ENDDO |
| 734 |
|
| 735 |
RETURN |
| 736 |
END |
| 737 |
|
| 738 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 739 |
CBOP |
| 740 |
C !ROUTINE: FIND_RHOTEOS |
| 741 |
C !INTERFACE: |
| 742 |
SUBROUTINE FIND_RHOTEOS( |
| 743 |
I iMin, iMax, jMin, jMax, |
| 744 |
I locPres, tFld, sFld, |
| 745 |
O rhoNum, rhoDen, |
| 746 |
I myThid ) |
| 747 |
|
| 748 |
C !DESCRIPTION: \bv |
| 749 |
C *==========================================================* |
| 750 |
C | o SUBROUTINE FIND_RHOTEOS |
| 751 |
C | Calculates numerator and inverse of denominator of the |
| 752 |
C | TEOS-10 (McDougall et al. 2011) equation of state |
| 753 |
C | - the code is more or less a copy the teos-10 toolbox |
| 754 |
C | available at http://www.teos-10.org |
| 755 |
C *==========================================================* |
| 756 |
C \ev |
| 757 |
|
| 758 |
C !USES: |
| 759 |
IMPLICIT NONE |
| 760 |
C == Global variables == |
| 761 |
#include "SIZE.h" |
| 762 |
#include "EEPARAMS.h" |
| 763 |
#include "PARAMS.h" |
| 764 |
#include "EOS.h" |
| 765 |
|
| 766 |
C !INPUT/OUTPUT PARAMETERS: |
| 767 |
C == Routine arguments == |
| 768 |
INTEGER iMin,iMax,jMin,jMax |
| 769 |
_RL locPres(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 770 |
_RL tFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 771 |
_RL sFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 772 |
_RL rhoNum (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 773 |
_RL rhoDen (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 774 |
INTEGER myThid |
| 775 |
|
| 776 |
C !LOCAL VARIABLES: |
| 777 |
C == Local variables == |
| 778 |
INTEGER i,j |
| 779 |
_RL ct, sa, sqrtsa, p |
| 780 |
_RL den, epsln |
| 781 |
parameter ( epsln = 0. _d 0 ) |
| 782 |
CEOP |
| 783 |
DO j=jMin,jMax |
| 784 |
DO i=iMin,iMax |
| 785 |
C abbreviations |
| 786 |
ct = tFld(i,j) |
| 787 |
sa = sFld(i,j) |
| 788 |
#if (defined ALLOW_AUTODIFF && defined TARGET_NEC_SX) |
| 789 |
C this line makes TAF create vectorizable code |
| 790 |
sqrtsa = 0. _d 0 |
| 791 |
#endif |
| 792 |
IF ( sa .GT. 0. _d 0 ) THEN |
| 793 |
sqrtsa = SQRT(sa) |
| 794 |
ELSE |
| 795 |
sa = 0. _d 0 |
| 796 |
sqrtsa = 0. _d 0 |
| 797 |
ENDIF |
| 798 |
p = locPres(i,j)*SItodBar |
| 799 |
|
| 800 |
rhoNum(i,j) = teos(01) |
| 801 |
& + ct*(teos(02) + ct*(teos(03) + teos(04)*ct)) |
| 802 |
& + sa*(teos(05) + ct*(teos(06) + teos(07)*ct) |
| 803 |
& + sqrtsa*(teos(08) + ct*(teos(09) |
| 804 |
& + ct*(teos(10) + teos(11)*ct)))) |
| 805 |
& + p*(teos(12) + ct*(teos(13) + teos(14)*ct) |
| 806 |
& + sa*(teos(15) + teos(16)*ct) |
| 807 |
& + p*(teos(17) + ct*(teos(18) + teos(19)*ct) + teos(20)*sa)) |
| 808 |
|
| 809 |
den = teos(21) |
| 810 |
& + ct*(teos(22) + ct*(teos(23) + ct*(teos(24) + teos(25)*ct))) |
| 811 |
& + sa*(teos(26) + ct*(teos(27) + ct*(teos(28) |
| 812 |
& + ct*(teos(29) + teos(30)*ct))) |
| 813 |
& + teos(36)*sa |
| 814 |
& + sqrtsa*(teos(31) + ct*(teos(32) + ct*(teos(33) |
| 815 |
& + ct*(teos(34) + teos(35)*ct))))) |
| 816 |
& + p*(teos(37) + ct*(teos(38) + ct*(teos(39) + teos(40)*ct)) |
| 817 |
& + sa*(teos(41) + teos(42)*ct) |
| 818 |
& + p*(teos(43) + ct*(teos(44) + teos(45)*ct + teos(46)*sa) |
| 819 |
& + p*(teos(47) + teos(48)*ct))) |
| 820 |
|
| 821 |
rhoDen(i,j) = 1.0/(epsln+den) |
| 822 |
|
| 823 |
ENDDO |
| 824 |
ENDDO |
| 825 |
|
| 826 |
RETURN |
| 827 |
END |
| 828 |
|
| 829 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 830 |
CBOP |
| 831 |
C !ROUTINE: FIND_RHO_SCALAR |
| 832 |
C !INTERFACE: |
| 833 |
SUBROUTINE FIND_RHO_SCALAR( |
| 834 |
I tLoc, sLoc, pLoc, |
| 835 |
O rhoLoc, |
| 836 |
I myThid ) |
| 837 |
|
| 838 |
C !DESCRIPTION: \bv |
| 839 |
C *==========================================================* |
| 840 |
C | o SUBROUTINE FIND_RHO_SCALAR |
| 841 |
C | Calculates rho(S,T,p) |
| 842 |
C *==========================================================* |
| 843 |
C \ev |
| 844 |
|
| 845 |
C !USES: |
| 846 |
IMPLICIT NONE |
| 847 |
C == Global variables == |
| 848 |
#include "SIZE.h" |
| 849 |
#include "EEPARAMS.h" |
| 850 |
#include "PARAMS.h" |
| 851 |
#include "EOS.h" |
| 852 |
|
| 853 |
C !INPUT/OUTPUT PARAMETERS: |
| 854 |
C == Routine arguments == |
| 855 |
_RL tLoc, sLoc, pLoc |
| 856 |
_RL rhoLoc |
| 857 |
INTEGER myThid |
| 858 |
|
| 859 |
C !LOCAL VARIABLES: |
| 860 |
C == Local variables == |
| 861 |
_RL t1, t2, t3, t4, s1, s3o2, p1, p2, sp5, p1t1 |
| 862 |
_RL ct, sa, sqrtsa, p |
| 863 |
_RL rfresh, rsalt, rhoP0 |
| 864 |
_RL bMfresh, bMsalt, bMpres, BulkMod |
| 865 |
_RL rhoNum, rhoDen, den, epsln |
| 866 |
_RL oneMinusKap, facPres, theta_v |
| 867 |
PARAMETER ( epsln = 0. _d 0 ) |
| 868 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 869 |
#ifdef USE_FACTORIZED_EOS |
| 870 |
_RL eosF1, eosF2, eosF3, eosF4, eosF5, eosF6 |
| 871 |
_RL eosS1, eosS2, eosS3, eosS4, eosS5, eosS6 |
| 872 |
_RL eosS7, eosS8, eosS9 |
| 873 |
_RL eosP1, eosP2, eosP3, eosP4, eosP5, eosP6, eosP7 |
| 874 |
_RL eosP8, eosP9, eosP10, eosP11, eosP12, eosP13, eosP14 |
| 875 |
#endif /* USE_FACTORIZED_EOS */ |
| 876 |
CEOP |
| 877 |
#ifdef USE_FACTORIZED_EOS |
| 878 |
eosF1 = eosJMDCFw(1) |
| 879 |
eosF2 = eosJMDCFw(2) |
| 880 |
eosF3 = eosJMDCFw(3) |
| 881 |
eosF4 = eosJMDCFw(4) |
| 882 |
eosF5 = eosJMDCFw(5) |
| 883 |
eosF6 = eosJMDCFw(6) |
| 884 |
eosS1 = eosJMDCSw(1) |
| 885 |
eosS2 = eosJMDCSw(2) |
| 886 |
eosS3 = eosJMDCSw(3) |
| 887 |
eosS4 = eosJMDCSw(4) |
| 888 |
eosS5 = eosJMDCSw(5) |
| 889 |
eosS6 = eosJMDCSw(6) |
| 890 |
eosS7 = eosJMDCSw(7) |
| 891 |
eosS8 = eosJMDCSw(8) |
| 892 |
eosS9 = eosJMDCSw(9) |
| 893 |
|
| 894 |
eosP1 =eosJMDCKP(1) |
| 895 |
eosP2 =eosJMDCKP(2) |
| 896 |
eosP3 =eosJMDCKP(3) |
| 897 |
eosP4 =eosJMDCKP(4) |
| 898 |
eosP5 =eosJMDCKP(5) |
| 899 |
eosP6 =eosJMDCKP(6) |
| 900 |
eosP7 =eosJMDCKP(7) |
| 901 |
eosP8 =eosJMDCKP(8) |
| 902 |
eosP9 =eosJMDCKP(9) |
| 903 |
eosP10 =eosJMDCKP(10) |
| 904 |
eosP11 =eosJMDCKP(11) |
| 905 |
eosP12 =eosJMDCKP(12) |
| 906 |
eosP13 =eosJMDCKP(13) |
| 907 |
eosP14 =eosJMDCKP(14) |
| 908 |
#endif /* USE_FACTORIZED_EOS */ |
| 909 |
|
| 910 |
rhoLoc = 0. _d 0 |
| 911 |
rhoP0 = 0. _d 0 |
| 912 |
bulkMod = 0. _d 0 |
| 913 |
rfresh = 0. _d 0 |
| 914 |
rsalt = 0. _d 0 |
| 915 |
bMfresh = 0. _d 0 |
| 916 |
bMsalt = 0. _d 0 |
| 917 |
bMpres = 0. _d 0 |
| 918 |
rhoNum = 0. _d 0 |
| 919 |
rhoDen = 0. _d 0 |
| 920 |
den = 0. _d 0 |
| 921 |
|
| 922 |
t1 = tLoc |
| 923 |
t2 = t1*t1 |
| 924 |
t3 = t2*t1 |
| 925 |
t4 = t3*t1 |
| 926 |
|
| 927 |
s1 = sLoc |
| 928 |
IF ( s1 .LT. 0. _d 0 ) THEN |
| 929 |
C issue a warning |
| 930 |
WRITE(msgBuf,'(A,E13.5)') |
| 931 |
& ' FIND_RHO_SCALAR: WARNING, salinity = ', s1 |
| 932 |
CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
| 933 |
& SQUEEZE_RIGHT , myThid ) |
| 934 |
s1 = 0. _d 0 |
| 935 |
ENDIF |
| 936 |
|
| 937 |
IF (equationOfState.EQ.'LINEAR') THEN |
| 938 |
|
| 939 |
rholoc = rhoNil*( |
| 940 |
& sBeta *(sLoc-sRef(1)) |
| 941 |
& -tAlpha*(tLoc-tRef(1)) |
| 942 |
& ) + rhoNil |
| 943 |
c rhoLoc = 0. _d 0 |
| 944 |
|
| 945 |
ELSEIF (equationOfState.EQ.'POLY3') THEN |
| 946 |
|
| 947 |
C this is not correct, there is a field eosSig0 which should be use here |
| 948 |
C but I DO not intent to include the reference level in this routine |
| 949 |
WRITE(msgBuf,'(A)') |
| 950 |
& ' FIND_RHO_SCALAR: for POLY3, the density is not' |
| 951 |
CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
| 952 |
& SQUEEZE_RIGHT , myThid ) |
| 953 |
WRITE(msgBuf,'(A)') |
| 954 |
& ' computed correctly in this routine' |
| 955 |
CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
| 956 |
& SQUEEZE_RIGHT , myThid ) |
| 957 |
rhoLoc = 0. _d 0 |
| 958 |
|
| 959 |
ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
| 960 |
& .OR. equationOfState.EQ.'UNESCO' ) THEN |
| 961 |
C nonlinear equation of state in pressure coordinates |
| 962 |
|
| 963 |
s3o2 = s1*SQRT(s1) |
| 964 |
|
| 965 |
p1 = pLoc*SItoBar |
| 966 |
p2 = p1*p1 |
| 967 |
|
| 968 |
C density of freshwater at the surface |
| 969 |
#ifdef USE_FACTORIZED_EOS |
| 970 |
rfresh = |
| 971 |
& eosF1 + |
| 972 |
& t1* ( eosF2 + |
| 973 |
& t1* ( eosF3 + |
| 974 |
& t1* ( eosF4 + |
| 975 |
& t1* ( eosF5 + |
| 976 |
& t1* eosF6 )))) |
| 977 |
#else |
| 978 |
rfresh = |
| 979 |
& eosJMDCFw(1) |
| 980 |
& + eosJMDCFw(2)*t1 |
| 981 |
& + eosJMDCFw(3)*t2 |
| 982 |
& + eosJMDCFw(4)*t3 |
| 983 |
& + eosJMDCFw(5)*t4 |
| 984 |
& + eosJMDCFw(6)*t4*t1 |
| 985 |
#endif /* USE_FACTORIZED_EOS */ |
| 986 |
C density of sea water at the surface |
| 987 |
#ifdef USE_FACTORIZED_EOS |
| 988 |
rsalt = s1 * ( eosS1 + |
| 989 |
& t1 * ( eosS2 + |
| 990 |
& t1 * ( eosS3 + |
| 991 |
& t1 * ( eosS4 + |
| 992 |
& t1 * eosS5 )))) |
| 993 |
& + s3o2 * ( eosS6 + |
| 994 |
& t1 * ( eosS7 + |
| 995 |
& t1 * eosS8 )) |
| 996 |
& + s1*s1* eosS9 |
| 997 |
#else |
| 998 |
rsalt = |
| 999 |
& s1*( |
| 1000 |
& eosJMDCSw(1) |
| 1001 |
& + eosJMDCSw(2)*t1 |
| 1002 |
& + eosJMDCSw(3)*t2 |
| 1003 |
& + eosJMDCSw(4)*t3 |
| 1004 |
& + eosJMDCSw(5)*t4 |
| 1005 |
& ) |
| 1006 |
& + s3o2*( |
| 1007 |
& eosJMDCSw(6) |
| 1008 |
& + eosJMDCSw(7)*t1 |
| 1009 |
& + eosJMDCSw(8)*t2 |
| 1010 |
& ) |
| 1011 |
& + eosJMDCSw(9)*s1*s1 |
| 1012 |
#endif /* USE_FACTORIZED_EOS */ |
| 1013 |
|
| 1014 |
rhoP0 = rfresh + rsalt |
| 1015 |
|
| 1016 |
C secant bulk modulus of fresh water at the surface |
| 1017 |
#ifdef USE_FACTORIZED_EOS |
| 1018 |
bMfresh = eosF1 + |
| 1019 |
& t1 * ( eosF2 + |
| 1020 |
& t1 * ( eosF3 + |
| 1021 |
& t1 * ( eosF4 + |
| 1022 |
& t1 * eosF5 ))) |
| 1023 |
#else |
| 1024 |
bMfresh = |
| 1025 |
& eosJMDCKFw(1) |
| 1026 |
& + eosJMDCKFw(2)*t1 |
| 1027 |
& + eosJMDCKFw(3)*t2 |
| 1028 |
& + eosJMDCKFw(4)*t3 |
| 1029 |
& + eosJMDCKFw(5)*t4 |
| 1030 |
#endif /* USE_FACTORIZED_EOS */ |
| 1031 |
C secant bulk modulus of sea water at the surface |
| 1032 |
#ifdef USE_FACTORIZED_EOS |
| 1033 |
bMsalt = s1 * ( eosS1 + |
| 1034 |
& t1 * ( eosS2 + |
| 1035 |
& t1 * ( eosS3 + |
| 1036 |
& t1 * eosS4 ))) |
| 1037 |
& + s3o2 * ( eosS5 + |
| 1038 |
& t1 * ( eosS6 + |
| 1039 |
& t1 * eosS7 )) |
| 1040 |
C secant bulk modulus of sea water at pressure p |
| 1041 |
bMpres = p1 * ( eosP1 + |
| 1042 |
& t1 * ( eosP2 + |
| 1043 |
& t1 * ( eosP3 + |
| 1044 |
& t1 * eosP4 ))) |
| 1045 |
& + p1*s1*( eosP5 + |
| 1046 |
& t1 * ( eosP6 + |
| 1047 |
& t1 * eosP7 )) |
| 1048 |
& + p1*s3o2*eosP8 |
| 1049 |
& + p2 * ( eosP9 + |
| 1050 |
& t1 * ( eosP10 + |
| 1051 |
& t1 * eosP11 )) |
| 1052 |
& + p2*s1* ( eosP12 + |
| 1053 |
& t1 * ( eosP13 + |
| 1054 |
& t1 * eosP14 )) |
| 1055 |
#else |
| 1056 |
C secant bulk modulus of sea water at the surface |
| 1057 |
bMsalt = |
| 1058 |
& s1*( eosJMDCKSw(1) |
| 1059 |
& + eosJMDCKSw(2)*t1 |
| 1060 |
& + eosJMDCKSw(3)*t2 |
| 1061 |
& + eosJMDCKSw(4)*t3 |
| 1062 |
& ) |
| 1063 |
& + s3o2*( eosJMDCKSw(5) |
| 1064 |
& + eosJMDCKSw(6)*t1 |
| 1065 |
& + eosJMDCKSw(7)*t2 |
| 1066 |
& ) |
| 1067 |
C secant bulk modulus of sea water at pressure p |
| 1068 |
bMpres = |
| 1069 |
& p1*( eosJMDCKP(1) |
| 1070 |
& + eosJMDCKP(2)*t1 |
| 1071 |
& + eosJMDCKP(3)*t2 |
| 1072 |
& + eosJMDCKP(4)*t3 |
| 1073 |
& ) |
| 1074 |
& + p1*s1*( eosJMDCKP(5) |
| 1075 |
& + eosJMDCKP(6)*t1 |
| 1076 |
& + eosJMDCKP(7)*t2 |
| 1077 |
& ) |
| 1078 |
& + p1*s3o2*eosJMDCKP(8) |
| 1079 |
& + p2*( eosJMDCKP(9) |
| 1080 |
& + eosJMDCKP(10)*t1 |
| 1081 |
& + eosJMDCKP(11)*t2 |
| 1082 |
& ) |
| 1083 |
& + p2*s1*( eosJMDCKP(12) |
| 1084 |
& + eosJMDCKP(13)*t1 |
| 1085 |
& + eosJMDCKP(14)*t2 |
| 1086 |
& ) |
| 1087 |
#endif /* USE_FACTORIZED_EOS */ |
| 1088 |
|
| 1089 |
bulkMod = bMfresh + bMsalt + bMpres |
| 1090 |
|
| 1091 |
C density of sea water at pressure p |
| 1092 |
rhoLoc = rhoP0/(1. _d 0 - p1/bulkMod) |
| 1093 |
|
| 1094 |
ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
| 1095 |
|
| 1096 |
sp5 = SQRT(s1) |
| 1097 |
|
| 1098 |
p1 = pLoc*SItodBar |
| 1099 |
p1t1 = p1*t1 |
| 1100 |
|
| 1101 |
rhoNum = eosMDJWFnum(0) |
| 1102 |
& + t1*(eosMDJWFnum(1) |
| 1103 |
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
| 1104 |
& + s1*(eosMDJWFnum(4) |
| 1105 |
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
| 1106 |
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
| 1107 |
& + eosMDJWFnum(9)*s1 |
| 1108 |
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
| 1109 |
|
| 1110 |
den = eosMDJWFden(0) |
| 1111 |
& + t1*(eosMDJWFden(1) |
| 1112 |
& + t1*(eosMDJWFden(2) |
| 1113 |
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
| 1114 |
& + s1*(eosMDJWFden(5) |
| 1115 |
& + t1*(eosMDJWFden(6) |
| 1116 |
& + eosMDJWFden(7)*t2) |
| 1117 |
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
| 1118 |
& + p1*(eosMDJWFden(10) |
| 1119 |
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
| 1120 |
|
| 1121 |
rhoDen = 1.0/(epsln+den) |
| 1122 |
|
| 1123 |
rhoLoc = rhoNum*rhoDen |
| 1124 |
|
| 1125 |
ELSEIF( equationOfState .EQ. 'TEOS10' ) THEN |
| 1126 |
|
| 1127 |
ct = tLoc |
| 1128 |
sa = sLoc |
| 1129 |
IF ( sa .GT. 0. _d 0 ) THEN |
| 1130 |
sqrtsa = SQRT(sa) |
| 1131 |
ELSE |
| 1132 |
sa = 0. _d 0 |
| 1133 |
sqrtsa = 0. _d 0 |
| 1134 |
ENDIF |
| 1135 |
p = pLoc*SItodBar |
| 1136 |
|
| 1137 |
rhoNum = teos(01) |
| 1138 |
& + ct*(teos(02) + ct*(teos(03) + teos(04)*ct)) |
| 1139 |
& + sa*(teos(05) + ct*(teos(06) + teos(07)*ct) |
| 1140 |
& + sqrtsa*(teos(08) + ct*(teos(09) |
| 1141 |
& + ct*(teos(10) + teos(11)*ct)))) |
| 1142 |
& + p*(teos(12) + ct*(teos(13) + teos(14)*ct) |
| 1143 |
& + sa*(teos(15) + teos(16)*ct) |
| 1144 |
& + p*(teos(17) + ct*(teos(18) + teos(19)*ct) + teos(20)*sa)) |
| 1145 |
|
| 1146 |
den = teos(21) |
| 1147 |
& + ct*(teos(22) + ct*(teos(23) + ct*(teos(24) + teos(25)*ct))) |
| 1148 |
& + sa*(teos(26) + ct*(teos(27) + ct*(teos(28) |
| 1149 |
& + ct*(teos(29) + teos(30)*ct))) |
| 1150 |
& + teos(36)*sa |
| 1151 |
% + sqrtsa*(teos(31) + ct*(teos(32) + ct*(teos(33) |
| 1152 |
& + ct*(teos(34) + teos(35)*ct))))) |
| 1153 |
% + p*(teos(37) + ct*(teos(38) + ct*(teos(39) + teos(40)*ct)) |
| 1154 |
% + sa*(teos(41) + teos(42)*ct) |
| 1155 |
% + p*(teos(43) + ct*(teos(44) + teos(45)*ct + teos(46)*sa) |
| 1156 |
% + p*(teos(47) + teos(48)*ct))) |
| 1157 |
|
| 1158 |
rhoDen = 1.0/(epsln+den) |
| 1159 |
|
| 1160 |
rhoLoc = rhoNum*rhoDen |
| 1161 |
|
| 1162 |
ELSEIF( equationOfState .EQ. 'IDEALG' ) THEN |
| 1163 |
|
| 1164 |
oneMinusKap = oneRL - atm_kappa |
| 1165 |
C rho = P/(R*T_v) = Po/(R*theta_v)*(P/Po)^(1-kappa) |
| 1166 |
facPres = ( pLoc/atm_Po )**oneMinusKap |
| 1167 |
theta_v = tLoc*( sLoc*atm_Rq + oneRL ) |
| 1168 |
rhoLoc = atm_Po*facPres /( atm_Rd*theta_v ) |
| 1169 |
|
| 1170 |
ELSE |
| 1171 |
WRITE(msgBuf,'(3A)') |
| 1172 |
& ' FIND_RHO_SCALAR : equationOfState = "', |
| 1173 |
& equationOfState,'"' |
| 1174 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 1175 |
STOP 'ABNORMAL END: S/R FIND_RHO_SCALAR' |
| 1176 |
ENDIF |
| 1177 |
|
| 1178 |
RETURN |
| 1179 |
END |
| 1180 |
|
| 1181 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 1182 |
CBOP |
| 1183 |
C !ROUTINE: LOOK_FOR_NEG_SALINITY |
| 1184 |
C !INTERFACE: |
| 1185 |
SUBROUTINE LOOK_FOR_NEG_SALINITY( |
| 1186 |
I iMin, iMax, jMin, jMax, |
| 1187 |
U sFld, |
| 1188 |
I k, bi, bj, myThid ) |
| 1189 |
|
| 1190 |
C !DESCRIPTION: \bv |
| 1191 |
C *==========================================================* |
| 1192 |
C | o SUBROUTINE LOOK_FOR_NEG_SALINITY |
| 1193 |
C | looks for and fixes negative salinity values |
| 1194 |
C | this is necessary IF the equation of state uses |
| 1195 |
C | the square root of salinity |
| 1196 |
C *==========================================================* |
| 1197 |
C | k - is the Salt level |
| 1198 |
C *==========================================================* |
| 1199 |
C \ev |
| 1200 |
|
| 1201 |
C !USES: |
| 1202 |
IMPLICIT NONE |
| 1203 |
C == Global variables == |
| 1204 |
#include "SIZE.h" |
| 1205 |
#include "EEPARAMS.h" |
| 1206 |
#include "PARAMS.h" |
| 1207 |
|
| 1208 |
C !INPUT/OUTPUT PARAMETERS: |
| 1209 |
C == Routine arguments == |
| 1210 |
C k :: Level of Salt slice |
| 1211 |
INTEGER iMin,iMax,jMin,jMax |
| 1212 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 1213 |
INTEGER k, bi, bj |
| 1214 |
INTEGER myThid |
| 1215 |
|
| 1216 |
C !LOCAL VARIABLES: |
| 1217 |
C == Local variables == |
| 1218 |
INTEGER i,j, localWarning |
| 1219 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 1220 |
CEOP |
| 1221 |
|
| 1222 |
localWarning = 0 |
| 1223 |
DO j=jMin,jMax |
| 1224 |
DO i=iMin,iMax |
| 1225 |
C abbreviations |
| 1226 |
IF ( sFld(i,j) .LT. 0. _d 0 ) THEN |
| 1227 |
localWarning = localWarning + 1 |
| 1228 |
sFld(i,j) = 0. _d 0 |
| 1229 |
ENDIF |
| 1230 |
ENDDO |
| 1231 |
ENDDO |
| 1232 |
C issue a warning |
| 1233 |
IF ( localWarning .GT. 0 ) THEN |
| 1234 |
WRITE(msgBuf,'(2A,I5,A,2I4)') 'S/R LOOK_FOR_NEG_SALINITY:', |
| 1235 |
& ' from level k =', k, ' ; bi,bj =', bi, bj |
| 1236 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 1237 |
& SQUEEZE_RIGHT , myThid ) |
| 1238 |
WRITE(msgBuf,'(2A,I6,A)') 'S/R LOOK_FOR_NEG_SALINITY:', |
| 1239 |
& ' reset to zero', localWarning, ' negative salinity.' |
| 1240 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 1241 |
& SQUEEZE_RIGHT , myThid ) |
| 1242 |
ENDIF |
| 1243 |
|
| 1244 |
RETURN |
| 1245 |
END |
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