| 1 |
mlosch |
1.18 |
C $Header: /u/gcmpack/MITgcm/model/src/find_alpha.F,v 1.17 2008/08/09 01:02:28 jmc Exp $ |
| 2 |
cnh |
1.5 |
C $Name: $ |
| 3 |
adcroft |
1.1 |
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| 4 |
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#include "CPP_OPTIONS.h" |
| 5 |
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#define USE_FACTORIZED_POLY |
| 6 |
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| 7 |
cnh |
1.5 |
CBOP |
| 8 |
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C !ROUTINE: FIND_ALPHA |
| 9 |
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C !INTERFACE: |
| 10 |
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SUBROUTINE FIND_ALPHA ( |
| 11 |
jmc |
1.17 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 12 |
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O alphaLoc, |
| 13 |
mlosch |
1.16 |
I myThid ) |
| 14 |
adcroft |
1.1 |
|
| 15 |
cnh |
1.5 |
C !DESCRIPTION: \bv |
| 16 |
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C *==========================================================* |
| 17 |
jmc |
1.17 |
C | o SUBROUTINE FIND_ALPHA |
| 18 |
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C | Calculates [drho(S,T,z) / dT] of a horizontal slice |
| 19 |
cnh |
1.5 |
C *==========================================================* |
| 20 |
jmc |
1.17 |
C | |
| 21 |
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C | k - is the Theta/Salt level |
| 22 |
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C | kRef - determines pressure reference level |
| 23 |
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C | (not used in 'LINEAR' mode) |
| 24 |
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C | |
| 25 |
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C | alphaLoc - drho / dT (kg/m^3/C) |
| 26 |
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C | |
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cnh |
1.5 |
C *==========================================================* |
| 28 |
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C \ev |
| 29 |
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| 30 |
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C !USES: |
| 31 |
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IMPLICIT NONE |
| 32 |
jmc |
1.12 |
C === Global variables === |
| 33 |
adcroft |
1.1 |
#include "SIZE.h" |
| 34 |
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#include "DYNVARS.h" |
| 35 |
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#include "EEPARAMS.h" |
| 36 |
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#include "PARAMS.h" |
| 37 |
mlosch |
1.6 |
#include "EOS.h" |
| 38 |
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#include "GRID.h" |
| 39 |
adcroft |
1.1 |
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| 40 |
cnh |
1.5 |
C !INPUT/OUTPUT PARAMETERS: |
| 41 |
jmc |
1.12 |
C == Routine arguments == |
| 42 |
mlosch |
1.16 |
C k :: Level of Theta/Salt slice |
| 43 |
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C kRef :: Pressure reference level |
| 44 |
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c myThid :: thread number for this instance of the routine |
| 45 |
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INTEGER myThid |
| 46 |
jmc |
1.12 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 47 |
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INTEGER k |
| 48 |
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INTEGER kRef |
| 49 |
jmc |
1.17 |
_RL alphaLoc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 50 |
adcroft |
1.1 |
|
| 51 |
cnh |
1.5 |
C !LOCAL VARIABLES: |
| 52 |
jmc |
1.17 |
C == Local variables == |
| 53 |
jmc |
1.12 |
INTEGER i,j |
| 54 |
adcroft |
1.1 |
_RL refTemp,refSalt,tP,sP |
| 55 |
mlosch |
1.9 |
_RL t1, t2, t3, s1, s3o2, p1, p2, sp5, p1t1 |
| 56 |
mlosch |
1.18 |
_RL ct, sa, sqrtsa, p |
| 57 |
mlosch |
1.6 |
_RL drhoP0dtheta, drhoP0dthetaFresh, drhoP0dthetaSalt |
| 58 |
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_RL dKdtheta, dKdthetaFresh, dKdthetaSalt, dKdthetaPres |
| 59 |
jmc |
1.12 |
_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 60 |
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_RL rhoP0 (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 61 |
mlosch |
1.6 |
_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 62 |
mlosch |
1.9 |
_RL dnum_dtheta, dden_dtheta |
| 63 |
jmc |
1.12 |
_RL rhoDen (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 64 |
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_RL rhoLoc (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 65 |
cnh |
1.5 |
CEOP |
| 66 |
adcroft |
1.1 |
|
| 67 |
mlosch |
1.11 |
#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
| 68 |
jmc |
1.17 |
c CALL LOOK_FOR_NEG_SALINITY( |
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c I iMin, iMax, jMin, jMax, |
| 70 |
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c U sFld, |
| 71 |
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c I k, bi, bj, myThid ) |
| 72 |
mlosch |
1.11 |
#endif |
| 73 |
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| 74 |
jmc |
1.12 |
IF (equationOfState.EQ.'LINEAR') THEN |
| 75 |
adcroft |
1.1 |
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| 76 |
jmc |
1.12 |
DO j=jMin,jMax |
| 77 |
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DO i=iMin,iMax |
| 78 |
jmc |
1.17 |
alphaLoc(i,j) = -rhonil * tAlpha |
| 79 |
jmc |
1.12 |
ENDDO |
| 80 |
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ENDDO |
| 81 |
jmc |
1.17 |
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| 82 |
jmc |
1.12 |
ELSEIF (equationOfState.EQ.'POLY3') THEN |
| 83 |
adcroft |
1.1 |
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| 84 |
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refTemp=eosRefT(kRef) |
| 85 |
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refSalt=eosRefS(kRef) |
| 86 |
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| 87 |
jmc |
1.12 |
DO j=jMin,jMax |
| 88 |
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DO i=iMin,iMax |
| 89 |
adcroft |
1.1 |
tP=theta(i,j,k,bi,bj)-refTemp |
| 90 |
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sP=salt(i,j,k,bi,bj)-refSalt |
| 91 |
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#ifdef USE_FACTORIZED_POLY |
| 92 |
jmc |
1.17 |
alphaLoc(i,j) = |
| 93 |
adcroft |
1.1 |
& ( eosC(6,kRef) |
| 94 |
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& *tP*3. |
| 95 |
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& +(eosC(7,kRef)*sP + eosC(3,kRef))*2. |
| 96 |
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& )*tP |
| 97 |
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& +(eosC(8,kRef)*sP + eosC(4,kRef) )*sP + eosC(1,kRef) |
| 98 |
jmc |
1.17 |
& |
| 99 |
adcroft |
1.1 |
#else |
| 100 |
jmc |
1.17 |
alphaLoc(i,j) = |
| 101 |
adcroft |
1.1 |
& eosC(1,kRef) + |
| 102 |
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& eosC(3,kRef)*tP*2. + |
| 103 |
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& eosC(4,kRef) *sP + |
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& eosC(6,kRef)*tP*tP*3. + |
| 105 |
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& eosC(7,kRef)*tP*2. *sP + |
| 106 |
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& eosC(8,kRef) *sP*sP |
| 107 |
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#endif |
| 108 |
jmc |
1.12 |
ENDDO |
| 109 |
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ENDDO |
| 110 |
jmc |
1.17 |
|
| 111 |
jmc |
1.12 |
ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
| 112 |
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& .OR. equationOfState.EQ.'UNESCO' ) THEN |
| 113 |
mlosch |
1.6 |
C nonlinear equation of state in pressure coordinates |
| 114 |
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| 115 |
jmc |
1.12 |
CALL PRESSURE_FOR_EOS( |
| 116 |
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 117 |
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O locPres, |
| 118 |
jmc |
1.17 |
I myThid ) |
| 119 |
jmc |
1.12 |
|
| 120 |
mlosch |
1.6 |
CALL FIND_RHOP0( |
| 121 |
jmc |
1.17 |
I iMin, iMax, jMin, jMax, |
| 122 |
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I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 123 |
mlosch |
1.6 |
O rhoP0, |
| 124 |
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I myThid ) |
| 125 |
jmc |
1.17 |
|
| 126 |
mlosch |
1.6 |
CALL FIND_BULKMOD( |
| 127 |
jmc |
1.17 |
I iMin, iMax, jMin, jMax, locPres, |
| 128 |
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I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 129 |
mlosch |
1.6 |
O bulkMod, |
| 130 |
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I myThid ) |
| 131 |
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| 132 |
jmc |
1.12 |
DO j=jMin,jMax |
| 133 |
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DO i=iMin,iMax |
| 134 |
mlosch |
1.6 |
|
| 135 |
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C abbreviations |
| 136 |
jmc |
1.17 |
t1 = theta(i,j,k,bi,bj) |
| 137 |
mlosch |
1.9 |
t2 = t1*t1 |
| 138 |
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t3 = t2*t1 |
| 139 |
jmc |
1.17 |
|
| 140 |
mlosch |
1.9 |
s1 = salt(i,j,k,bi,bj) |
| 141 |
jmc |
1.14 |
IF ( s1 .GT. 0. _d 0 ) THEN |
| 142 |
jmc |
1.12 |
s3o2 = SQRT(s1*s1*s1) |
| 143 |
jmc |
1.14 |
ELSE |
| 144 |
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s1 = 0. _d 0 |
| 145 |
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s3o2 = 0. _d 0 |
| 146 |
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ENDIF |
| 147 |
jmc |
1.17 |
|
| 148 |
jmc |
1.12 |
p1 = locPres(i,j)*SItoBar |
| 149 |
mlosch |
1.9 |
p2 = p1*p1 |
| 150 |
mlosch |
1.6 |
|
| 151 |
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C d(rho)/d(theta) |
| 152 |
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C of fresh water at p = 0 |
| 153 |
jmc |
1.17 |
drhoP0dthetaFresh = |
| 154 |
mlosch |
1.6 |
& eosJMDCFw(2) |
| 155 |
mlosch |
1.9 |
& + 2.*eosJMDCFw(3)*t1 |
| 156 |
mlosch |
1.6 |
& + 3.*eosJMDCFw(4)*t2 |
| 157 |
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& + 4.*eosJMDCFw(5)*t3 |
| 158 |
mlosch |
1.9 |
& + 5.*eosJMDCFw(6)*t3*t1 |
| 159 |
mlosch |
1.6 |
C of salt water at p = 0 |
| 160 |
jmc |
1.17 |
drhoP0dthetaSalt = |
| 161 |
mlosch |
1.9 |
& s1*( |
| 162 |
mlosch |
1.6 |
& eosJMDCSw(2) |
| 163 |
mlosch |
1.9 |
& + 2.*eosJMDCSw(3)*t1 |
| 164 |
mlosch |
1.6 |
& + 3.*eosJMDCSw(4)*t2 |
| 165 |
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& + 4.*eosJMDCSw(5)*t3 |
| 166 |
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& ) |
| 167 |
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& + s3o2*( |
| 168 |
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& + eosJMDCSw(7) |
| 169 |
mlosch |
1.9 |
& + 2.*eosJMDCSw(8)*t1 |
| 170 |
mlosch |
1.6 |
& ) |
| 171 |
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C d(bulk modulus)/d(theta) |
| 172 |
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C of fresh water at p = 0 |
| 173 |
jmc |
1.17 |
dKdthetaFresh = |
| 174 |
mlosch |
1.6 |
& eosJMDCKFw(2) |
| 175 |
mlosch |
1.9 |
& + 2.*eosJMDCKFw(3)*t1 |
| 176 |
mlosch |
1.6 |
& + 3.*eosJMDCKFw(4)*t2 |
| 177 |
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& + 4.*eosJMDCKFw(5)*t3 |
| 178 |
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C of sea water at p = 0 |
| 179 |
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dKdthetaSalt = |
| 180 |
mlosch |
1.9 |
& s1*( eosJMDCKSw(2) |
| 181 |
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& + 2.*eosJMDCKSw(3)*t1 |
| 182 |
mlosch |
1.6 |
& + 3.*eosJMDCKSw(4)*t2 |
| 183 |
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& ) |
| 184 |
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& + s3o2*( eosJMDCKSw(6) |
| 185 |
mlosch |
1.9 |
& + 2.*eosJMDCKSw(7)*t1 |
| 186 |
mlosch |
1.6 |
& ) |
| 187 |
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C of sea water at p |
| 188 |
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dKdthetaPres = |
| 189 |
mlosch |
1.9 |
& p1*( eosJMDCKP(2) |
| 190 |
|
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& + 2.*eosJMDCKP(3)*t1 |
| 191 |
mlosch |
1.6 |
& + 3.*eosJMDCKP(4)*t2 |
| 192 |
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& ) |
| 193 |
mlosch |
1.9 |
& + p1*s1*( eosJMDCKP(6) |
| 194 |
|
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& + 2.*eosJMDCKP(7)*t1 |
| 195 |
mlosch |
1.6 |
& ) |
| 196 |
|
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& + p2*( eosJMDCKP(10) |
| 197 |
mlosch |
1.9 |
& + 2.*eosJMDCKP(11)*t1 |
| 198 |
mlosch |
1.6 |
& ) |
| 199 |
mlosch |
1.9 |
& + p2*s1*( eosJMDCKP(13) |
| 200 |
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& + 2.*eosJMDCKP(14)*t1 |
| 201 |
mlosch |
1.6 |
& ) |
| 202 |
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| 203 |
jmc |
1.17 |
drhoP0dtheta = drhoP0dthetaFresh |
| 204 |
mlosch |
1.6 |
& + drhoP0dthetaSalt |
| 205 |
jmc |
1.17 |
dKdtheta = dKdthetaFresh |
| 206 |
|
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& + dKdthetaSalt |
| 207 |
mlosch |
1.6 |
& + dKdthetaPres |
| 208 |
jmc |
1.17 |
alphaLoc(i,j) = |
| 209 |
mlosch |
1.6 |
& ( bulkmod(i,j)**2*drhoP0dtheta |
| 210 |
mlosch |
1.9 |
& - bulkmod(i,j)*p1*drhoP0dtheta |
| 211 |
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& - rhoP0(i,j)*p1*dKdtheta ) |
| 212 |
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& /( bulkmod(i,j) - p1 )**2 |
| 213 |
jmc |
1.17 |
|
| 214 |
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| 215 |
jmc |
1.12 |
ENDDO |
| 216 |
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ENDDO |
| 217 |
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ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
| 218 |
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| 219 |
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CALL PRESSURE_FOR_EOS( |
| 220 |
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 221 |
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O locPres, |
| 222 |
jmc |
1.17 |
I myThid ) |
| 223 |
jmc |
1.12 |
|
| 224 |
jmc |
1.17 |
CALL FIND_RHONUM( |
| 225 |
|
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I iMin, iMax, jMin, jMax, locPres, |
| 226 |
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I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 227 |
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O rhoLoc, |
| 228 |
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I myThid ) |
| 229 |
heimbach |
1.15 |
|
| 230 |
jmc |
1.17 |
CALL FIND_RHODEN( |
| 231 |
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I iMin, iMax, jMin, jMax, locPres, |
| 232 |
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I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 233 |
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O rhoDen, |
| 234 |
|
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I myThid ) |
| 235 |
mlosch |
1.9 |
|
| 236 |
jmc |
1.12 |
DO j=jMin,jMax |
| 237 |
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DO i=iMin,iMax |
| 238 |
mlosch |
1.9 |
t1 = theta(i,j,k,bi,bj) |
| 239 |
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t2 = t1*t1 |
| 240 |
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s1 = salt(i,j,k,bi,bj) |
| 241 |
jmc |
1.14 |
IF ( s1 .GT. 0. _d 0 ) THEN |
| 242 |
jmc |
1.17 |
sp5 = SQRT(s1) |
| 243 |
jmc |
1.14 |
ELSE |
| 244 |
|
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s1 = 0. _d 0 |
| 245 |
|
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sp5 = 0. _d 0 |
| 246 |
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ENDIF |
| 247 |
mlosch |
1.9 |
|
| 248 |
jmc |
1.12 |
p1 = locPres(i,j)*SItodBar |
| 249 |
mlosch |
1.9 |
p1t1 = p1*t1 |
| 250 |
jmc |
1.17 |
|
| 251 |
mlosch |
1.9 |
dnum_dtheta = eosMDJWFnum(1) |
| 252 |
jmc |
1.17 |
& + t1*(2.*eosMDJWFnum(2) + 3.*eosMDJWFnum(3)*t1) |
| 253 |
|
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& + eosMDJWFnum(5)*s1 |
| 254 |
jmc |
1.14 |
& + p1t1*(2.*eosMDJWFnum(8) + 2.*eosMDJWFnum(11)*p1) |
| 255 |
jmc |
1.17 |
|
| 256 |
|
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dden_dtheta = eosMDJWFden(1) |
| 257 |
|
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& + t1*(2.*eosMDJWFden(2) |
| 258 |
|
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& + t1*(3.*eosMDJWFden(3) |
| 259 |
mlosch |
1.9 |
& + 4.*eosMDJWFden(4)*t1 ) ) |
| 260 |
jmc |
1.17 |
& + s1*(eosMDJWFden(6) |
| 261 |
|
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& + t1*(3.*eosMDJWFden(7)*t1 |
| 262 |
mlosch |
1.9 |
& + 2.*eosMDJWFden(9)*sp5 ) ) |
| 263 |
|
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& + p1*p1*(3.*eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) |
| 264 |
jmc |
1.17 |
|
| 265 |
|
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alphaLoc(i,j) = rhoDen(i,j)*(dnum_dtheta |
| 266 |
heimbach |
1.15 |
& - (rhoLoc(i,j)*rhoDen(i,j))*dden_dtheta) |
| 267 |
jmc |
1.17 |
|
| 268 |
jmc |
1.12 |
ENDDO |
| 269 |
|
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ENDDO |
| 270 |
mlosch |
1.9 |
|
| 271 |
mlosch |
1.18 |
ELSEIF ( equationOfState.EQ.'TEOS10' ) THEN |
| 272 |
|
|
|
| 273 |
|
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CALL PRESSURE_FOR_EOS( |
| 274 |
|
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I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 275 |
|
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O locPres, |
| 276 |
|
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I myThid ) |
| 277 |
|
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| 278 |
|
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CALL FIND_RHOTEOS( |
| 279 |
|
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I iMin, iMax, jMin, jMax, locPres, |
| 280 |
|
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I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 281 |
|
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O rhoLoc, rhoDen, |
| 282 |
|
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I myThid ) |
| 283 |
|
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|
| 284 |
|
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DO j=jMin,jMax |
| 285 |
|
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DO i=iMin,iMax |
| 286 |
|
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ct = theta(i,j,k,bi,bj) |
| 287 |
|
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sa = salt(i,j,k,bi,bj) |
| 288 |
|
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IF ( sa .GT. 0. _d 0 ) THEN |
| 289 |
|
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sqrtsa = SQRT(sa) |
| 290 |
|
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ELSE |
| 291 |
|
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sa = 0. _d 0 |
| 292 |
|
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sqrtsa = 0. _d 0 |
| 293 |
|
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ENDIF |
| 294 |
|
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p = locPres(i,j)*SItodBar |
| 295 |
|
|
|
| 296 |
|
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dnum_dtheta = teos(02) |
| 297 |
|
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& + ct*(2.*teos(03) + 3.*teos(04)*ct) |
| 298 |
|
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& + sa*(teos(06) + 2.*teos(07)*ct |
| 299 |
|
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& + sqrtsa*(teos(09) + ct*(2.*teos(10) + 3.*teos(11)*ct))) |
| 300 |
|
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& + p*( teos(13) + 2.*teos(14)*ct + sa*2.*teos(16) |
| 301 |
|
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& + p*(teos(18) + 2.*teos(19)*ct)) |
| 302 |
|
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|
| 303 |
|
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dden_dtheta = teos(22) |
| 304 |
|
|
& + ct*(2.*teos(23) + ct*(3.*teos(24) + 4.*teos(25)*ct)) |
| 305 |
|
|
& + sa*(teos(27) |
| 306 |
|
|
& + ct*(2.*teos(28) + ct*(3.*teos(29) + 4.*teos(30)*ct)) |
| 307 |
|
|
& + sqrtsa*(teos(32) |
| 308 |
|
|
& + ct*(2.*teos(33) + ct*(3.*teos(34) + 4.*teos(35)*ct)))) |
| 309 |
|
|
& + p*(teos(38) + ct*(2.*teos(39) + 3.*teos(40)*ct) |
| 310 |
|
|
& + teos(42) |
| 311 |
|
|
& + p*(teos(44) + 2.*teos(45)*ct + teos(46)*sa |
| 312 |
|
|
& + p*teos(48) )) |
| 313 |
|
|
|
| 314 |
|
|
alphaLoc(i,j) = rhoDen(i,j)*(dnum_dtheta |
| 315 |
|
|
& - (rhoLoc(i,j)*rhoDen(i,j))*dden_dtheta) |
| 316 |
|
|
|
| 317 |
|
|
ENDDO |
| 318 |
|
|
ENDDO |
| 319 |
|
|
|
| 320 |
jmc |
1.12 |
ELSE |
| 321 |
|
|
WRITE(*,*) 'FIND_ALPHA: equationOfState = ',equationOfState |
| 322 |
|
|
STOP 'FIND_ALPHA: "equationOfState" has illegal value' |
| 323 |
|
|
ENDIF |
| 324 |
adcroft |
1.1 |
|
| 325 |
jmc |
1.17 |
RETURN |
| 326 |
jmc |
1.12 |
END |
| 327 |
adcroft |
1.1 |
|
| 328 |
jmc |
1.12 |
SUBROUTINE FIND_BETA ( |
| 329 |
mlosch |
1.10 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 330 |
jmc |
1.17 |
O betaLoc, |
| 331 |
mlosch |
1.16 |
I myThid ) |
| 332 |
adcroft |
1.1 |
C /==========================================================\ |
| 333 |
|
|
C | o SUBROUTINE FIND_BETA | |
| 334 |
|
|
C | Calculates [drho(S,T,z) / dS] of a horizontal slice | |
| 335 |
|
|
C |==========================================================| |
| 336 |
|
|
C | | |
| 337 |
|
|
C | k - is the Theta/Salt level | |
| 338 |
|
|
C | kRef - determines pressure reference level | |
| 339 |
|
|
C | (not used in 'LINEAR' mode) | |
| 340 |
|
|
C | | |
| 341 |
jmc |
1.17 |
C | betaLoc - drho / dS (kg/m^3/PSU) | |
| 342 |
adcroft |
1.1 |
C | | |
| 343 |
|
|
C \==========================================================/ |
| 344 |
jmc |
1.12 |
IMPLICIT NONE |
| 345 |
adcroft |
1.1 |
|
| 346 |
jmc |
1.12 |
C === Global variables === |
| 347 |
adcroft |
1.1 |
#include "SIZE.h" |
| 348 |
|
|
#include "DYNVARS.h" |
| 349 |
|
|
#include "EEPARAMS.h" |
| 350 |
|
|
#include "PARAMS.h" |
| 351 |
mlosch |
1.6 |
#include "EOS.h" |
| 352 |
|
|
#include "GRID.h" |
| 353 |
adcroft |
1.1 |
|
| 354 |
jmc |
1.12 |
C == Routine arguments == |
| 355 |
mlosch |
1.16 |
C k :: Level of Theta/Salt slice |
| 356 |
|
|
C kRef :: Pressure reference level |
| 357 |
|
|
c myThid :: thread number for this instance of the routine |
| 358 |
|
|
INTEGER myThid |
| 359 |
jmc |
1.12 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 360 |
|
|
INTEGER k |
| 361 |
|
|
INTEGER kRef |
| 362 |
jmc |
1.17 |
_RL betaLoc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 363 |
adcroft |
1.1 |
|
| 364 |
jmc |
1.12 |
C == Local variables == |
| 365 |
|
|
INTEGER i,j |
| 366 |
adcroft |
1.1 |
_RL refTemp,refSalt,tP,sP |
| 367 |
mlosch |
1.9 |
_RL t1, t2, t3, s1, s3o2, p1, sp5, p1t1 |
| 368 |
mlosch |
1.18 |
_RL ct, sa, sqrtsa, p |
| 369 |
mlosch |
1.6 |
_RL drhoP0dS |
| 370 |
|
|
_RL dKdS, dKdSSalt, dKdSPres |
| 371 |
jmc |
1.12 |
_RL locPres(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 372 |
|
|
_RL rhoP0 (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 373 |
mlosch |
1.6 |
_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 374 |
mlosch |
1.9 |
_RL dnum_dsalt, dden_dsalt |
| 375 |
jmc |
1.12 |
_RL rhoDen (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 376 |
|
|
_RL rhoLoc (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 377 |
mlosch |
1.6 |
CEOP |
| 378 |
|
|
|
| 379 |
mlosch |
1.11 |
#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
| 380 |
jmc |
1.17 |
c CALL LOOK_FOR_NEG_SALINITY( |
| 381 |
|
|
c I iMin, iMax, jMin, jMax, |
| 382 |
|
|
c U sFld, |
| 383 |
|
|
c I k, bi, bj, myThid ) |
| 384 |
mlosch |
1.11 |
#endif |
| 385 |
|
|
|
| 386 |
jmc |
1.12 |
IF (equationOfState.EQ.'LINEAR') THEN |
| 387 |
adcroft |
1.1 |
|
| 388 |
jmc |
1.12 |
DO j=jMin,jMax |
| 389 |
|
|
DO i=iMin,iMax |
| 390 |
jmc |
1.17 |
betaLoc(i,j) = rhonil * sBeta |
| 391 |
jmc |
1.12 |
ENDDO |
| 392 |
|
|
ENDDO |
| 393 |
jmc |
1.17 |
|
| 394 |
jmc |
1.12 |
ELSEIF (equationOfState.EQ.'POLY3') THEN |
| 395 |
adcroft |
1.1 |
|
| 396 |
|
|
refTemp=eosRefT(kRef) |
| 397 |
|
|
refSalt=eosRefS(kRef) |
| 398 |
|
|
|
| 399 |
jmc |
1.12 |
DO j=jMin,jMax |
| 400 |
|
|
DO i=iMin,iMax |
| 401 |
adcroft |
1.1 |
tP=theta(i,j,k,bi,bj)-refTemp |
| 402 |
|
|
sP=salt(i,j,k,bi,bj)-refSalt |
| 403 |
|
|
#ifdef USE_FACTORIZED_POLY |
| 404 |
jmc |
1.17 |
betaLoc(i,j) = |
| 405 |
adcroft |
1.1 |
& ( eosC(9,kRef)*sP*3. + eosC(5,kRef)*2. )*sP + eosC(2,kRef) |
| 406 |
|
|
& + ( eosC(7,kRef)*tP |
| 407 |
|
|
& +eosC(8,kRef)*sP*2. + eosC(4,kRef) |
| 408 |
|
|
& )*tP |
| 409 |
|
|
#else |
| 410 |
jmc |
1.17 |
betaLoc(i,j) = |
| 411 |
adcroft |
1.1 |
& eosC(2,kRef) + |
| 412 |
|
|
& eosC(4,kRef)*tP + |
| 413 |
|
|
& eosC(5,kRef) *sP*2. + |
| 414 |
|
|
& eosC(7,kRef)*tP*tP + |
| 415 |
|
|
& eosC(8,kRef)*tP *sP*2. + |
| 416 |
|
|
& eosC(9,kRef) *sP*sP*3. |
| 417 |
|
|
#endif |
| 418 |
jmc |
1.12 |
ENDDO |
| 419 |
|
|
ENDDO |
| 420 |
adcroft |
1.1 |
|
| 421 |
jmc |
1.12 |
ELSEIF ( equationOfState(1:5).EQ.'JMD95' |
| 422 |
|
|
& .OR. equationOfState.EQ.'UNESCO' ) THEN |
| 423 |
mlosch |
1.6 |
C nonlinear equation of state in pressure coordinates |
| 424 |
|
|
|
| 425 |
jmc |
1.12 |
CALL PRESSURE_FOR_EOS( |
| 426 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 427 |
|
|
O locPres, |
| 428 |
jmc |
1.17 |
I myThid ) |
| 429 |
jmc |
1.12 |
|
| 430 |
mlosch |
1.6 |
CALL FIND_RHOP0( |
| 431 |
jmc |
1.17 |
I iMin, iMax, jMin, jMax, |
| 432 |
|
|
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 433 |
mlosch |
1.6 |
O rhoP0, |
| 434 |
|
|
I myThid ) |
| 435 |
jmc |
1.17 |
|
| 436 |
mlosch |
1.6 |
CALL FIND_BULKMOD( |
| 437 |
jmc |
1.17 |
I iMin, iMax, jMin, jMax, locPres, |
| 438 |
|
|
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 439 |
mlosch |
1.6 |
O bulkMod, |
| 440 |
|
|
I myThid ) |
| 441 |
|
|
|
| 442 |
jmc |
1.12 |
DO j=jMin,jMax |
| 443 |
|
|
DO i=iMin,iMax |
| 444 |
mlosch |
1.6 |
|
| 445 |
|
|
C abbreviations |
| 446 |
jmc |
1.17 |
t1 = theta(i,j,k,bi,bj) |
| 447 |
mlosch |
1.9 |
t2 = t1*t1 |
| 448 |
|
|
t3 = t2*t1 |
| 449 |
jmc |
1.17 |
|
| 450 |
mlosch |
1.9 |
s1 = salt(i,j,k,bi,bj) |
| 451 |
jmc |
1.14 |
IF ( s1 .GT. 0. _d 0 ) THEN |
| 452 |
jmc |
1.12 |
s3o2 = 1.5*SQRT(s1) |
| 453 |
jmc |
1.14 |
ELSE |
| 454 |
|
|
s1 = 0. _d 0 |
| 455 |
|
|
s3o2 = 0. _d 0 |
| 456 |
|
|
ENDIF |
| 457 |
mlosch |
1.6 |
|
| 458 |
jmc |
1.12 |
p1 = locPres(i,j)*SItoBar |
| 459 |
mlosch |
1.6 |
|
| 460 |
|
|
C d(rho)/d(S) |
| 461 |
|
|
C of fresh water at p = 0 |
| 462 |
|
|
drhoP0dS = 0. _d 0 |
| 463 |
|
|
C of salt water at p = 0 |
| 464 |
|
|
drhoP0dS = drhoP0dS |
| 465 |
|
|
& + eosJMDCSw(1) |
| 466 |
mlosch |
1.9 |
& + eosJMDCSw(2)*t1 |
| 467 |
mlosch |
1.6 |
& + eosJMDCSw(3)*t2 |
| 468 |
|
|
& + eosJMDCSw(4)*t3 |
| 469 |
mlosch |
1.9 |
& + eosJMDCSw(5)*t3*t1 |
| 470 |
mlosch |
1.6 |
& + s3o2*( |
| 471 |
|
|
& eosJMDCSw(6) |
| 472 |
mlosch |
1.9 |
& + eosJMDCSw(7)*t1 |
| 473 |
mlosch |
1.6 |
& + eosJMDCSw(8)*t2 |
| 474 |
|
|
& ) |
| 475 |
mlosch |
1.9 |
& + 2*eosJMDCSw(9)*s1 |
| 476 |
mlosch |
1.6 |
C d(bulk modulus)/d(S) |
| 477 |
|
|
C of fresh water at p = 0 |
| 478 |
|
|
dKdS = 0. _d 0 |
| 479 |
|
|
C of sea water at p = 0 |
| 480 |
|
|
dKdSSalt = |
| 481 |
|
|
& eosJMDCKSw(1) |
| 482 |
mlosch |
1.9 |
& + eosJMDCKSw(2)*t1 |
| 483 |
mlosch |
1.6 |
& + eosJMDCKSw(3)*t2 |
| 484 |
|
|
& + eosJMDCKSw(4)*t3 |
| 485 |
|
|
& + s3o2*( eosJMDCKSw(5) |
| 486 |
mlosch |
1.9 |
& + eosJMDCKSw(6)*t1 |
| 487 |
mlosch |
1.6 |
& + eosJMDCKSw(7)*t2 |
| 488 |
|
|
& ) |
| 489 |
|
|
|
| 490 |
|
|
C of sea water at p |
| 491 |
jmc |
1.17 |
dKdSPres = |
| 492 |
mlosch |
1.9 |
& p1*( eosJMDCKP(5) |
| 493 |
|
|
& + eosJMDCKP(6)*t1 |
| 494 |
mlosch |
1.6 |
& + eosJMDCKP(7)*t2 |
| 495 |
|
|
& ) |
| 496 |
mlosch |
1.9 |
& + s3o2*p1*eosJMDCKP(8) |
| 497 |
|
|
& + p1*p1*( eosJMDCKP(12) |
| 498 |
|
|
& + eosJMDCKP(13)*t1 |
| 499 |
mlosch |
1.6 |
& + eosJMDCKP(14)*t2 |
| 500 |
|
|
& ) |
| 501 |
|
|
|
| 502 |
|
|
dKdS = dKdSSalt + dKdSPres |
| 503 |
|
|
|
| 504 |
jmc |
1.17 |
betaLoc(i,j) = |
| 505 |
mlosch |
1.6 |
& ( bulkmod(i,j)**2*drhoP0dS |
| 506 |
mlosch |
1.9 |
& - bulkmod(i,j)*p1*drhoP0dS |
| 507 |
|
|
& - rhoP0(i,j)*p1*dKdS ) |
| 508 |
|
|
& /( bulkmod(i,j) - p1 )**2 |
| 509 |
jmc |
1.17 |
|
| 510 |
|
|
|
| 511 |
jmc |
1.12 |
ENDDO |
| 512 |
|
|
ENDDO |
| 513 |
|
|
ELSEIF ( equationOfState.EQ.'MDJWF' ) THEN |
| 514 |
|
|
|
| 515 |
|
|
CALL PRESSURE_FOR_EOS( |
| 516 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 517 |
|
|
O locPres, |
| 518 |
jmc |
1.17 |
I myThid ) |
| 519 |
jmc |
1.12 |
|
| 520 |
jmc |
1.17 |
CALL FIND_RHONUM( |
| 521 |
|
|
I iMin, iMax, jMin, jMax, locPres, |
| 522 |
|
|
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 523 |
|
|
O rhoLoc, |
| 524 |
|
|
I myThid ) |
| 525 |
heimbach |
1.15 |
|
| 526 |
jmc |
1.17 |
CALL FIND_RHODEN( |
| 527 |
|
|
I iMin, iMax, jMin, jMax, locPres, |
| 528 |
|
|
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 529 |
|
|
O rhoDen, |
| 530 |
|
|
I myThid ) |
| 531 |
heimbach |
1.13 |
|
| 532 |
jmc |
1.12 |
DO j=jMin,jMax |
| 533 |
|
|
DO i=iMin,iMax |
| 534 |
mlosch |
1.9 |
t1 = theta(i,j,k,bi,bj) |
| 535 |
|
|
t2 = t1*t1 |
| 536 |
|
|
s1 = salt(i,j,k,bi,bj) |
| 537 |
jmc |
1.14 |
IF ( s1 .GT. 0. _d 0 ) THEN |
| 538 |
jmc |
1.17 |
sp5 = SQRT(s1) |
| 539 |
jmc |
1.14 |
ELSE |
| 540 |
|
|
s1 = 0. _d 0 |
| 541 |
|
|
sp5 = 0. _d 0 |
| 542 |
|
|
ENDIF |
| 543 |
jmc |
1.17 |
|
| 544 |
jmc |
1.12 |
p1 = locPres(i,j)*SItodBar |
| 545 |
mlosch |
1.9 |
p1t1 = p1*t1 |
| 546 |
jmc |
1.17 |
|
| 547 |
|
|
dnum_dsalt = eosMDJWFnum(4) |
| 548 |
mlosch |
1.9 |
& + eosMDJWFnum(5)*t1 |
| 549 |
|
|
& + 2.*eosMDJWFnum(6)*s1 + eosMDJWFnum(9)*p1 |
| 550 |
jmc |
1.17 |
dden_dsalt = eosMDJWFden(5) |
| 551 |
|
|
& + t1*( eosMDJWFden(6) + eosMDJWFden(7)*t2 ) |
| 552 |
mlosch |
1.9 |
& + 1.5*sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) |
| 553 |
|
|
|
| 554 |
jmc |
1.17 |
betaLoc(i,j) = rhoDen(i,j)*( dnum_dsalt |
| 555 |
heimbach |
1.15 |
& - (rhoLoc(i,j)*rhoDen(i,j))*dden_dsalt ) |
| 556 |
mlosch |
1.9 |
|
| 557 |
jmc |
1.12 |
ENDDO |
| 558 |
|
|
ENDDO |
| 559 |
mlosch |
1.9 |
|
| 560 |
mlosch |
1.18 |
ELSEIF ( equationOfState.EQ.'TEOS10' ) THEN |
| 561 |
|
|
|
| 562 |
|
|
CALL PRESSURE_FOR_EOS( |
| 563 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, kRef, |
| 564 |
|
|
O locPres, |
| 565 |
|
|
I myThid ) |
| 566 |
|
|
|
| 567 |
|
|
CALL FIND_RHOTEOS( |
| 568 |
|
|
I iMin, iMax, jMin, jMax, locPres, |
| 569 |
|
|
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
| 570 |
|
|
O rhoLoc, rhoDen, |
| 571 |
|
|
I myThid ) |
| 572 |
|
|
|
| 573 |
|
|
DO j=jMin,jMax |
| 574 |
|
|
DO i=iMin,iMax |
| 575 |
|
|
ct = theta(i,j,k,bi,bj) |
| 576 |
|
|
sa = salt(i,j,k,bi,bj) |
| 577 |
|
|
IF ( sa .GT. 0. _d 0 ) THEN |
| 578 |
|
|
sqrtsa = SQRT(sa) |
| 579 |
|
|
ELSE |
| 580 |
|
|
sa = 0. _d 0 |
| 581 |
|
|
sqrtsa = 0. _d 0 |
| 582 |
|
|
ENDIF |
| 583 |
|
|
p = locPres(i,j)*SItodBar |
| 584 |
|
|
|
| 585 |
|
|
dnum_dsalt = teos(05) + ct*(teos(06) + teos(07)*ct) |
| 586 |
|
|
& + 1.5*sqrtsa*(teos(08) |
| 587 |
|
|
& + ct*(teos(09) + ct*(teos(10) + teos(11)*ct))) |
| 588 |
|
|
& + p*(teos(15) + teos(16)*ct + p*teos(20)) |
| 589 |
|
|
|
| 590 |
|
|
dden_dsalt = teos(26) |
| 591 |
|
|
& + ct*(teos(27) + ct*(teos(28) + ct*(teos(29) + teos(30)*ct))) |
| 592 |
|
|
& + 2.*teos(36)*sa |
| 593 |
|
|
& + 1.5*sqrtsa*(teos(31) + ct*(teos(32) + ct*(teos(33) |
| 594 |
|
|
& + ct*(teos(34) + teos(35)*ct)))) |
| 595 |
|
|
& + p*(teos(41) + teos(42)*ct + p*teos(46)) |
| 596 |
|
|
|
| 597 |
|
|
betaLoc(i,j) = rhoDen(i,j)*( dnum_dsalt |
| 598 |
|
|
& - (rhoLoc(i,j)*rhoDen(i,j))*dden_dsalt ) |
| 599 |
|
|
|
| 600 |
|
|
ENDDO |
| 601 |
|
|
ENDDO |
| 602 |
|
|
|
| 603 |
jmc |
1.12 |
ELSE |
| 604 |
|
|
WRITE(*,*) 'FIND_BETA: equationOfState = ',equationOfState |
| 605 |
|
|
STOP 'FIND_BETA: "equationOfState" has illegal value' |
| 606 |
|
|
ENDIF |
| 607 |
adcroft |
1.1 |
|
| 608 |
jmc |
1.17 |
RETURN |
| 609 |
jmc |
1.12 |
END |
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