| 1 |
C $Header: /u/gcmpack/MITgcm/model/src/find_alpha.F,v 1.19 2012/01/20 15:26:33 mlosch Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "PACKAGES_CONFIG.h" |
| 5 |
#include "CPP_OPTIONS.h" |
| 6 |
#define USE_FACTORIZED_POLY |
| 7 |
|
| 8 |
C-- File find_alpha.F: Calculate expansion Coeff |
| 9 |
C-- Contents |
| 10 |
C-- o FIND_ALPHA |
| 11 |
C-- o FIND_BETA |
| 12 |
|
| 13 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 14 |
CBOP |
| 15 |
C !ROUTINE: FIND_ALPHA |
| 16 |
C !INTERFACE: |
| 17 |
SUBROUTINE FIND_ALPHA ( |
| 18 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 19 |
O alphaLoc, |
| 20 |
I myThid ) |
| 21 |
|
| 22 |
C !DESCRIPTION: \bv |
| 23 |
C *==========================================================* |
| 24 |
C | o SUBROUTINE FIND_ALPHA |
| 25 |
C | Calculates [drho(S,T,z) / dT] of a horizontal slice |
| 26 |
C *==========================================================* |
| 27 |
C | k - is the Theta/Salt level |
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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 | alphaLoc - drho / dT (kg/m^3/C) |
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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 |
| 36 |
C === Global variables === |
| 37 |
#include "SIZE.h" |
| 38 |
#include "DYNVARS.h" |
| 39 |
#include "EEPARAMS.h" |
| 40 |
#include "PARAMS.h" |
| 41 |
#include "EOS.h" |
| 42 |
#include "GRID.h" |
| 43 |
|
| 44 |
C !INPUT/OUTPUT PARAMETERS: |
| 45 |
C == Routine arguments == |
| 46 |
C k :: Level of Theta/Salt slice |
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C kRef :: Pressure reference level |
| 48 |
c myThid :: thread number for this instance of the routine |
| 49 |
INTEGER myThid |
| 50 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 51 |
INTEGER k |
| 52 |
INTEGER kRef |
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_RL alphaLoc(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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C !LOCAL VARIABLES: |
| 56 |
C == Local variables == |
| 57 |
INTEGER i,j |
| 58 |
_RL refTemp,refSalt,tP,sP |
| 59 |
_RL t1, t2, t3, s1, s3o2, p1, p2, sp5, p1t1 |
| 60 |
_RL ct, sa, sqrtsa, p |
| 61 |
_RL drhoP0dtheta, drhoP0dthetaFresh, drhoP0dthetaSalt |
| 62 |
_RL dKdtheta, dKdthetaFresh, dKdthetaSalt, dKdthetaPres |
| 63 |
_RL locPres(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 64 |
_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 dnum_dtheta, dden_dtheta |
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_RL rhoDen (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rhoLoc (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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CEOP |
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|
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#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
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c CALL LOOK_FOR_NEG_SALINITY( |
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c I iMin, iMax, jMin, jMax, |
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c U sFld, |
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c 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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DO j=jMin,jMax |
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DO i=iMin,iMax |
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alphaLoc(i,j) = -rhonil * tAlpha |
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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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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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tP=theta(i,j,k,bi,bj)-refTemp |
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sP=salt(i,j,k,bi,bj)-refSalt |
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#ifdef USE_FACTORIZED_POLY |
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alphaLoc(i,j) = |
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& ( eosC(6,kRef) |
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& *tP*3. |
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& +(eosC(7,kRef)*sP + eosC(3,kRef))*2. |
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& )*tP |
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& +(eosC(8,kRef)*sP + eosC(4,kRef) )*sP + eosC(1,kRef) |
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& |
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#else |
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alphaLoc(i,j) = |
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& eosC(1,kRef) + |
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& eosC(3,kRef)*tP*2. + |
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& eosC(4,kRef) *sP + |
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& eosC(6,kRef)*tP*tP*3. + |
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& eosC(7,kRef)*tP*2. *sP + |
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& eosC(8,kRef) *sP*sP |
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#endif |
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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 theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 127 |
O rhoP0, |
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I myThid ) |
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|
| 130 |
CALL FIND_BULKMOD( |
| 131 |
I iMin, iMax, jMin, jMax, locPres, |
| 132 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 133 |
O bulkMod, |
| 134 |
I myThid ) |
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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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|
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C abbreviations |
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t1 = theta(i,j,k,bi,bj) |
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t2 = t1*t1 |
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t3 = t2*t1 |
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|
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#if (defined ALLOW_AUTODIFF_TAMC && defined TARGET_NEC_SX) |
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C this line makes TAF create vectorizable code |
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s3o2 = 0. _d 0 |
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#endif |
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s1 = salt(i,j,k,bi,bj) |
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IF ( s1 .GT. 0. _d 0 ) THEN |
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s3o2 = SQRT(s1*s1*s1) |
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ELSE |
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s1 = 0. _d 0 |
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s3o2 = 0. _d 0 |
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ENDIF |
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|
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p1 = locPres(i,j)*SItoBar |
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p2 = p1*p1 |
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|
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C d(rho)/d(theta) |
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C of fresh water at p = 0 |
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drhoP0dthetaFresh = |
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& eosJMDCFw(2) |
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& + 2.*eosJMDCFw(3)*t1 |
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& + 3.*eosJMDCFw(4)*t2 |
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& + 4.*eosJMDCFw(5)*t3 |
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& + 5.*eosJMDCFw(6)*t3*t1 |
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C of salt water at p = 0 |
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drhoP0dthetaSalt = |
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& s1*( |
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& eosJMDCSw(2) |
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& + 2.*eosJMDCSw(3)*t1 |
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& + 3.*eosJMDCSw(4)*t2 |
| 173 |
& + 4.*eosJMDCSw(5)*t3 |
| 174 |
& ) |
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& + s3o2*( |
| 176 |
& + eosJMDCSw(7) |
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& + 2.*eosJMDCSw(8)*t1 |
| 178 |
& ) |
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C d(bulk modulus)/d(theta) |
| 180 |
C of fresh water at p = 0 |
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dKdthetaFresh = |
| 182 |
& eosJMDCKFw(2) |
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& + 2.*eosJMDCKFw(3)*t1 |
| 184 |
& + 3.*eosJMDCKFw(4)*t2 |
| 185 |
& + 4.*eosJMDCKFw(5)*t3 |
| 186 |
C of sea water at p = 0 |
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dKdthetaSalt = |
| 188 |
& s1*( eosJMDCKSw(2) |
| 189 |
& + 2.*eosJMDCKSw(3)*t1 |
| 190 |
& + 3.*eosJMDCKSw(4)*t2 |
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& ) |
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& + s3o2*( eosJMDCKSw(6) |
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& + 2.*eosJMDCKSw(7)*t1 |
| 194 |
& ) |
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C of sea water at p |
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dKdthetaPres = |
| 197 |
& p1*( eosJMDCKP(2) |
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& + 2.*eosJMDCKP(3)*t1 |
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& + 3.*eosJMDCKP(4)*t2 |
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& ) |
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& + p1*s1*( eosJMDCKP(6) |
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& + 2.*eosJMDCKP(7)*t1 |
| 203 |
& ) |
| 204 |
& + p2*( eosJMDCKP(10) |
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& + 2.*eosJMDCKP(11)*t1 |
| 206 |
& ) |
| 207 |
& + p2*s1*( eosJMDCKP(13) |
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& + 2.*eosJMDCKP(14)*t1 |
| 209 |
& ) |
| 210 |
|
| 211 |
drhoP0dtheta = drhoP0dthetaFresh |
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& + drhoP0dthetaSalt |
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dKdtheta = dKdthetaFresh |
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& + dKdthetaSalt |
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& + dKdthetaPres |
| 216 |
alphaLoc(i,j) = |
| 217 |
& ( bulkmod(i,j)**2*drhoP0dtheta |
| 218 |
& - bulkmod(i,j)*p1*drhoP0dtheta |
| 219 |
& - rhoP0(i,j)*p1*dKdtheta ) |
| 220 |
& /( bulkmod(i,j) - p1 )**2 |
| 221 |
|
| 222 |
ENDDO |
| 223 |
ENDDO |
| 224 |
ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
| 225 |
|
| 226 |
CALL PRESSURE_FOR_EOS( |
| 227 |
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 228 |
O locPres, |
| 229 |
I myThid ) |
| 230 |
|
| 231 |
CALL FIND_RHONUM( |
| 232 |
I iMin, iMax, jMin, jMax, locPres, |
| 233 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 234 |
O rhoLoc, |
| 235 |
I myThid ) |
| 236 |
|
| 237 |
CALL FIND_RHODEN( |
| 238 |
I iMin, iMax, jMin, jMax, locPres, |
| 239 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 240 |
O rhoDen, |
| 241 |
I myThid ) |
| 242 |
|
| 243 |
DO j=jMin,jMax |
| 244 |
DO i=iMin,iMax |
| 245 |
t1 = theta(i,j,k,bi,bj) |
| 246 |
t2 = t1*t1 |
| 247 |
s1 = salt(i,j,k,bi,bj) |
| 248 |
#if (defined ALLOW_AUTODIFF_TAMC && defined TARGET_NEC_SX) |
| 249 |
C this line makes TAF create vectorizable code |
| 250 |
sp5 = 0. _d 0 |
| 251 |
#endif |
| 252 |
IF ( s1 .GT. 0. _d 0 ) THEN |
| 253 |
sp5 = SQRT(s1) |
| 254 |
ELSE |
| 255 |
s1 = 0. _d 0 |
| 256 |
sp5 = 0. _d 0 |
| 257 |
ENDIF |
| 258 |
|
| 259 |
p1 = locPres(i,j)*SItodBar |
| 260 |
p1t1 = p1*t1 |
| 261 |
|
| 262 |
dnum_dtheta = eosMDJWFnum(1) |
| 263 |
& + t1*(2.*eosMDJWFnum(2) + 3.*eosMDJWFnum(3)*t1) |
| 264 |
& + eosMDJWFnum(5)*s1 |
| 265 |
& + p1t1*(2.*eosMDJWFnum(8) + 2.*eosMDJWFnum(11)*p1) |
| 266 |
|
| 267 |
dden_dtheta = eosMDJWFden(1) |
| 268 |
& + t1*(2.*eosMDJWFden(2) |
| 269 |
& + t1*(3.*eosMDJWFden(3) |
| 270 |
& + 4.*eosMDJWFden(4)*t1 ) ) |
| 271 |
& + s1*(eosMDJWFden(6) |
| 272 |
& + t1*(3.*eosMDJWFden(7)*t1 |
| 273 |
& + 2.*eosMDJWFden(9)*sp5 ) ) |
| 274 |
& + p1*p1*(3.*eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) |
| 275 |
|
| 276 |
alphaLoc(i,j) = rhoDen(i,j)*(dnum_dtheta |
| 277 |
& - (rhoLoc(i,j)*rhoDen(i,j))*dden_dtheta) |
| 278 |
|
| 279 |
ENDDO |
| 280 |
ENDDO |
| 281 |
|
| 282 |
ELSEIF ( equationOfState.EQ.'TEOS10' ) THEN |
| 283 |
|
| 284 |
CALL PRESSURE_FOR_EOS( |
| 285 |
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 286 |
O locPres, |
| 287 |
I myThid ) |
| 288 |
|
| 289 |
CALL FIND_RHOTEOS( |
| 290 |
I iMin, iMax, jMin, jMax, locPres, |
| 291 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 292 |
O rhoLoc, rhoDen, |
| 293 |
I myThid ) |
| 294 |
|
| 295 |
DO j=jMin,jMax |
| 296 |
DO i=iMin,iMax |
| 297 |
ct = theta(i,j,k,bi,bj) |
| 298 |
sa = salt(i,j,k,bi,bj) |
| 299 |
#if (defined ALLOW_AUTODIFF_TAMC && defined TARGET_NEC_SX) |
| 300 |
C this line makes TAF create vectorizable code |
| 301 |
sqrtsa = 0. _d 0 |
| 302 |
#endif |
| 303 |
IF ( sa .GT. 0. _d 0 ) THEN |
| 304 |
sqrtsa = SQRT(sa) |
| 305 |
ELSE |
| 306 |
sa = 0. _d 0 |
| 307 |
sqrtsa = 0. _d 0 |
| 308 |
ENDIF |
| 309 |
p = locPres(i,j)*SItodBar |
| 310 |
|
| 311 |
dnum_dtheta = teos(02) |
| 312 |
& + ct*(2.*teos(03) + 3.*teos(04)*ct) |
| 313 |
& + sa*(teos(06) + 2.*teos(07)*ct |
| 314 |
& + sqrtsa*(teos(09) + ct*(2.*teos(10) + 3.*teos(11)*ct))) |
| 315 |
& + p*( teos(13) + 2.*teos(14)*ct + sa*2.*teos(16) |
| 316 |
& + p*(teos(18) + 2.*teos(19)*ct)) |
| 317 |
|
| 318 |
dden_dtheta = teos(22) |
| 319 |
& + ct*(2.*teos(23) + ct*(3.*teos(24) + 4.*teos(25)*ct)) |
| 320 |
& + sa*(teos(27) |
| 321 |
& + ct*(2.*teos(28) + ct*(3.*teos(29) + 4.*teos(30)*ct)) |
| 322 |
& + sqrtsa*(teos(32) |
| 323 |
& + ct*(2.*teos(33) + ct*(3.*teos(34) + 4.*teos(35)*ct)))) |
| 324 |
& + p*(teos(38) + ct*(2.*teos(39) + 3.*teos(40)*ct) |
| 325 |
& + teos(42) |
| 326 |
& + p*(teos(44) + 2.*teos(45)*ct + teos(46)*sa |
| 327 |
& + p*teos(48) )) |
| 328 |
|
| 329 |
alphaLoc(i,j) = rhoDen(i,j)*(dnum_dtheta |
| 330 |
& - (rhoLoc(i,j)*rhoDen(i,j))*dden_dtheta) |
| 331 |
|
| 332 |
ENDDO |
| 333 |
ENDDO |
| 334 |
|
| 335 |
ELSE |
| 336 |
WRITE(*,*) 'FIND_ALPHA: equationOfState = ',equationOfState |
| 337 |
STOP 'FIND_ALPHA: "equationOfState" has illegal value' |
| 338 |
ENDIF |
| 339 |
|
| 340 |
RETURN |
| 341 |
END |
| 342 |
|
| 343 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 344 |
CBOP |
| 345 |
C !ROUTINE: FIND_BETA |
| 346 |
C !INTERFACE: |
| 347 |
SUBROUTINE FIND_BETA ( |
| 348 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 349 |
O betaLoc, |
| 350 |
I myThid ) |
| 351 |
|
| 352 |
C !DESCRIPTION: \bv |
| 353 |
C *==========================================================* |
| 354 |
C | o SUBROUTINE FIND_BETA |
| 355 |
C | Calculates [drho(S,T,z) / dS] of a horizontal slice |
| 356 |
C |==========================================================* |
| 357 |
C | k - is the Theta/Salt level |
| 358 |
C | kRef - determines pressure reference level |
| 359 |
C | (not used in 'LINEAR' mode) |
| 360 |
C | betaLoc - drho / dS (kg/m^3/PSU) |
| 361 |
C *==========================================================* |
| 362 |
C \ev |
| 363 |
|
| 364 |
C !USES: |
| 365 |
IMPLICIT NONE |
| 366 |
C === Global variables === |
| 367 |
#include "SIZE.h" |
| 368 |
#include "DYNVARS.h" |
| 369 |
#include "EEPARAMS.h" |
| 370 |
#include "PARAMS.h" |
| 371 |
#include "EOS.h" |
| 372 |
#include "GRID.h" |
| 373 |
|
| 374 |
C !INPUT/OUTPUT PARAMETERS: |
| 375 |
C == Routine arguments == |
| 376 |
C k :: Level of Theta/Salt slice |
| 377 |
C kRef :: Pressure reference level |
| 378 |
c myThid :: thread number for this instance of the routine |
| 379 |
INTEGER myThid |
| 380 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 381 |
INTEGER k |
| 382 |
INTEGER kRef |
| 383 |
_RL betaLoc(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 384 |
|
| 385 |
C !LOCAL VARIABLES: |
| 386 |
C == Local variables == |
| 387 |
INTEGER i,j |
| 388 |
_RL refTemp,refSalt,tP,sP |
| 389 |
_RL t1, t2, t3, s1, s3o2, p1, sp5, p1t1 |
| 390 |
_RL ct, sa, sqrtsa, p |
| 391 |
_RL drhoP0dS |
| 392 |
_RL dKdS, dKdSSalt, dKdSPres |
| 393 |
_RL locPres(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 394 |
_RL rhoP0 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 395 |
_RL bulkMod(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 396 |
_RL dnum_dsalt, dden_dsalt |
| 397 |
_RL rhoDen (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 398 |
_RL rhoLoc (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 399 |
CEOP |
| 400 |
|
| 401 |
#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
| 402 |
c CALL LOOK_FOR_NEG_SALINITY( |
| 403 |
c I iMin, iMax, jMin, jMax, |
| 404 |
c U sFld, |
| 405 |
c I k, bi, bj, myThid ) |
| 406 |
#endif |
| 407 |
|
| 408 |
IF (equationOfState.EQ.'LINEAR') THEN |
| 409 |
|
| 410 |
DO j=jMin,jMax |
| 411 |
DO i=iMin,iMax |
| 412 |
betaLoc(i,j) = rhonil * sBeta |
| 413 |
ENDDO |
| 414 |
ENDDO |
| 415 |
|
| 416 |
ELSEIF (equationOfState.EQ.'POLY3') THEN |
| 417 |
|
| 418 |
refTemp=eosRefT(kRef) |
| 419 |
refSalt=eosRefS(kRef) |
| 420 |
|
| 421 |
DO j=jMin,jMax |
| 422 |
DO i=iMin,iMax |
| 423 |
tP=theta(i,j,k,bi,bj)-refTemp |
| 424 |
sP=salt(i,j,k,bi,bj)-refSalt |
| 425 |
#ifdef USE_FACTORIZED_POLY |
| 426 |
betaLoc(i,j) = |
| 427 |
& ( eosC(9,kRef)*sP*3. + eosC(5,kRef)*2. )*sP + eosC(2,kRef) |
| 428 |
& + ( eosC(7,kRef)*tP |
| 429 |
& +eosC(8,kRef)*sP*2. + eosC(4,kRef) |
| 430 |
& )*tP |
| 431 |
#else |
| 432 |
betaLoc(i,j) = |
| 433 |
& eosC(2,kRef) + |
| 434 |
& eosC(4,kRef)*tP + |
| 435 |
& eosC(5,kRef) *sP*2. + |
| 436 |
& eosC(7,kRef)*tP*tP + |
| 437 |
& eosC(8,kRef)*tP *sP*2. + |
| 438 |
& eosC(9,kRef) *sP*sP*3. |
| 439 |
#endif |
| 440 |
ENDDO |
| 441 |
ENDDO |
| 442 |
|
| 443 |
ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
| 444 |
& .OR. equationOfState.EQ.'UNESCO' ) THEN |
| 445 |
C nonlinear equation of state in pressure coordinates |
| 446 |
|
| 447 |
CALL PRESSURE_FOR_EOS( |
| 448 |
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 449 |
O locPres, |
| 450 |
I myThid ) |
| 451 |
|
| 452 |
CALL FIND_RHOP0( |
| 453 |
I iMin, iMax, jMin, jMax, |
| 454 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 455 |
O rhoP0, |
| 456 |
I myThid ) |
| 457 |
|
| 458 |
CALL FIND_BULKMOD( |
| 459 |
I iMin, iMax, jMin, jMax, locPres, |
| 460 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 461 |
O bulkMod, |
| 462 |
I myThid ) |
| 463 |
|
| 464 |
DO j=jMin,jMax |
| 465 |
DO i=iMin,iMax |
| 466 |
|
| 467 |
C abbreviations |
| 468 |
t1 = theta(i,j,k,bi,bj) |
| 469 |
t2 = t1*t1 |
| 470 |
t3 = t2*t1 |
| 471 |
|
| 472 |
s1 = salt(i,j,k,bi,bj) |
| 473 |
#if (defined ALLOW_AUTODIFF_TAMC && defined TARGET_NEC_SX) |
| 474 |
C this line makes TAF create vectorizable code |
| 475 |
s3o2 = 0. _d 0 |
| 476 |
#endif |
| 477 |
IF ( s1 .GT. 0. _d 0 ) THEN |
| 478 |
s3o2 = 1.5*SQRT(s1) |
| 479 |
ELSE |
| 480 |
s1 = 0. _d 0 |
| 481 |
s3o2 = 0. _d 0 |
| 482 |
ENDIF |
| 483 |
|
| 484 |
p1 = locPres(i,j)*SItoBar |
| 485 |
|
| 486 |
C d(rho)/d(S) |
| 487 |
C of fresh water at p = 0 |
| 488 |
drhoP0dS = 0. _d 0 |
| 489 |
C of salt water at p = 0 |
| 490 |
drhoP0dS = drhoP0dS |
| 491 |
& + eosJMDCSw(1) |
| 492 |
& + eosJMDCSw(2)*t1 |
| 493 |
& + eosJMDCSw(3)*t2 |
| 494 |
& + eosJMDCSw(4)*t3 |
| 495 |
& + eosJMDCSw(5)*t3*t1 |
| 496 |
& + s3o2*( |
| 497 |
& eosJMDCSw(6) |
| 498 |
& + eosJMDCSw(7)*t1 |
| 499 |
& + eosJMDCSw(8)*t2 |
| 500 |
& ) |
| 501 |
& + 2*eosJMDCSw(9)*s1 |
| 502 |
C d(bulk modulus)/d(S) |
| 503 |
C of fresh water at p = 0 |
| 504 |
dKdS = 0. _d 0 |
| 505 |
C of sea water at p = 0 |
| 506 |
dKdSSalt = |
| 507 |
& eosJMDCKSw(1) |
| 508 |
& + eosJMDCKSw(2)*t1 |
| 509 |
& + eosJMDCKSw(3)*t2 |
| 510 |
& + eosJMDCKSw(4)*t3 |
| 511 |
& + s3o2*( eosJMDCKSw(5) |
| 512 |
& + eosJMDCKSw(6)*t1 |
| 513 |
& + eosJMDCKSw(7)*t2 |
| 514 |
& ) |
| 515 |
|
| 516 |
C of sea water at p |
| 517 |
dKdSPres = |
| 518 |
& p1*( eosJMDCKP(5) |
| 519 |
& + eosJMDCKP(6)*t1 |
| 520 |
& + eosJMDCKP(7)*t2 |
| 521 |
& ) |
| 522 |
& + s3o2*p1*eosJMDCKP(8) |
| 523 |
& + p1*p1*( eosJMDCKP(12) |
| 524 |
& + eosJMDCKP(13)*t1 |
| 525 |
& + eosJMDCKP(14)*t2 |
| 526 |
& ) |
| 527 |
|
| 528 |
dKdS = dKdSSalt + dKdSPres |
| 529 |
|
| 530 |
betaLoc(i,j) = |
| 531 |
& ( bulkmod(i,j)**2*drhoP0dS |
| 532 |
& - bulkmod(i,j)*p1*drhoP0dS |
| 533 |
& - rhoP0(i,j)*p1*dKdS ) |
| 534 |
& /( bulkmod(i,j) - p1 )**2 |
| 535 |
|
| 536 |
ENDDO |
| 537 |
ENDDO |
| 538 |
ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
| 539 |
|
| 540 |
CALL PRESSURE_FOR_EOS( |
| 541 |
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 542 |
O locPres, |
| 543 |
I myThid ) |
| 544 |
|
| 545 |
CALL FIND_RHONUM( |
| 546 |
I iMin, iMax, jMin, jMax, locPres, |
| 547 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 548 |
O rhoLoc, |
| 549 |
I myThid ) |
| 550 |
|
| 551 |
CALL FIND_RHODEN( |
| 552 |
I iMin, iMax, jMin, jMax, locPres, |
| 553 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 554 |
O rhoDen, |
| 555 |
I myThid ) |
| 556 |
|
| 557 |
DO j=jMin,jMax |
| 558 |
DO i=iMin,iMax |
| 559 |
t1 = theta(i,j,k,bi,bj) |
| 560 |
t2 = t1*t1 |
| 561 |
s1 = salt(i,j,k,bi,bj) |
| 562 |
#if (defined ALLOW_AUTODIFF_TAMC && defined TARGET_NEC_SX) |
| 563 |
C this line makes TAF create vectorizable code |
| 564 |
sp5 = 0. _d 0 |
| 565 |
#endif |
| 566 |
IF ( s1 .GT. 0. _d 0 ) THEN |
| 567 |
sp5 = SQRT(s1) |
| 568 |
ELSE |
| 569 |
s1 = 0. _d 0 |
| 570 |
sp5 = 0. _d 0 |
| 571 |
ENDIF |
| 572 |
|
| 573 |
p1 = locPres(i,j)*SItodBar |
| 574 |
p1t1 = p1*t1 |
| 575 |
|
| 576 |
dnum_dsalt = eosMDJWFnum(4) |
| 577 |
& + eosMDJWFnum(5)*t1 |
| 578 |
& + 2.*eosMDJWFnum(6)*s1 + eosMDJWFnum(9)*p1 |
| 579 |
dden_dsalt = eosMDJWFden(5) |
| 580 |
& + t1*( eosMDJWFden(6) + eosMDJWFden(7)*t2 ) |
| 581 |
& + 1.5*sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) |
| 582 |
|
| 583 |
betaLoc(i,j) = rhoDen(i,j)*( dnum_dsalt |
| 584 |
& - (rhoLoc(i,j)*rhoDen(i,j))*dden_dsalt ) |
| 585 |
|
| 586 |
ENDDO |
| 587 |
ENDDO |
| 588 |
|
| 589 |
ELSEIF ( equationOfState.EQ.'TEOS10' ) THEN |
| 590 |
|
| 591 |
CALL PRESSURE_FOR_EOS( |
| 592 |
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 593 |
O locPres, |
| 594 |
I myThid ) |
| 595 |
|
| 596 |
CALL FIND_RHOTEOS( |
| 597 |
I iMin, iMax, jMin, jMax, locPres, |
| 598 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 599 |
O rhoLoc, rhoDen, |
| 600 |
I myThid ) |
| 601 |
|
| 602 |
DO j=jMin,jMax |
| 603 |
DO i=iMin,iMax |
| 604 |
ct = theta(i,j,k,bi,bj) |
| 605 |
sa = salt(i,j,k,bi,bj) |
| 606 |
#if (defined ALLOW_AUTODIFF_TAMC && defined TARGET_NEC_SX) |
| 607 |
C this line makes TAF create vectorizable code |
| 608 |
sqrtsa = 0. _d 0 |
| 609 |
#endif |
| 610 |
IF ( sa .GT. 0. _d 0 ) THEN |
| 611 |
sqrtsa = SQRT(sa) |
| 612 |
ELSE |
| 613 |
sa = 0. _d 0 |
| 614 |
sqrtsa = 0. _d 0 |
| 615 |
ENDIF |
| 616 |
p = locPres(i,j)*SItodBar |
| 617 |
|
| 618 |
dnum_dsalt = teos(05) + ct*(teos(06) + teos(07)*ct) |
| 619 |
& + 1.5*sqrtsa*(teos(08) |
| 620 |
& + ct*(teos(09) + ct*(teos(10) + teos(11)*ct))) |
| 621 |
& + p*(teos(15) + teos(16)*ct + p*teos(20)) |
| 622 |
|
| 623 |
dden_dsalt = teos(26) |
| 624 |
& + ct*(teos(27) + ct*(teos(28) + ct*(teos(29) + teos(30)*ct))) |
| 625 |
& + 2.*teos(36)*sa |
| 626 |
& + 1.5*sqrtsa*(teos(31) + ct*(teos(32) + ct*(teos(33) |
| 627 |
& + ct*(teos(34) + teos(35)*ct)))) |
| 628 |
& + p*(teos(41) + teos(42)*ct + p*teos(46)) |
| 629 |
|
| 630 |
betaLoc(i,j) = rhoDen(i,j)*( dnum_dsalt |
| 631 |
& - (rhoLoc(i,j)*rhoDen(i,j))*dden_dsalt ) |
| 632 |
|
| 633 |
ENDDO |
| 634 |
ENDDO |
| 635 |
|
| 636 |
ELSE |
| 637 |
WRITE(*,*) 'FIND_BETA: equationOfState = ',equationOfState |
| 638 |
STOP 'FIND_BETA: "equationOfState" has illegal value' |
| 639 |
ENDIF |
| 640 |
|
| 641 |
RETURN |
| 642 |
END |
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