| 1 |
heimbach |
1.23 |
C $Header: /u/gcmpack/MITgcm/model/src/find_rho.F,v 1.22 2002/11/01 22:00:33 mlosch Exp $ |
| 2 |
cnh |
1.15 |
C $Name: $ |
| 3 |
cnh |
1.1 |
|
| 4 |
cnh |
1.9 |
#include "CPP_OPTIONS.h" |
| 5 |
adcroft |
1.5 |
#define USE_FACTORIZED_POLY |
| 6 |
cnh |
1.1 |
|
| 7 |
cnh |
1.15 |
CBOP |
| 8 |
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C !ROUTINE: FIND_RHO |
| 9 |
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C !INTERFACE: |
| 10 |
adcroft |
1.4 |
subroutine FIND_RHO( |
| 11 |
mlosch |
1.20 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 12 |
adcroft |
1.13 |
I tFld, sFld, |
| 13 |
adcroft |
1.4 |
O rholoc, |
| 14 |
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I myThid ) |
| 15 |
cnh |
1.15 |
|
| 16 |
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C !DESCRIPTION: \bv |
| 17 |
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C *==========================================================* |
| 18 |
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C | o SUBROUTINE FIND_RHO |
| 19 |
mlosch |
1.21 |
C | Calculates [rho(S,T,z)-rhoConst] of a slice |
| 20 |
cnh |
1.15 |
C *==========================================================* |
| 21 |
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C | |
| 22 |
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C | k - is the Theta/Salt level |
| 23 |
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C | kRef - determines pressure reference level |
| 24 |
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C | (not used in 'LINEAR' mode) |
| 25 |
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C | |
| 26 |
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C *==========================================================* |
| 27 |
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C \ev |
| 28 |
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| 29 |
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C !USES: |
| 30 |
cnh |
1.1 |
implicit none |
| 31 |
heimbach |
1.12 |
C == Global variables == |
| 32 |
cnh |
1.1 |
#include "SIZE.h" |
| 33 |
cnh |
1.7 |
#include "EEPARAMS.h" |
| 34 |
cnh |
1.1 |
#include "PARAMS.h" |
| 35 |
mlosch |
1.16 |
#include "EOS.h" |
| 36 |
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#include "GRID.h" |
| 37 |
heimbach |
1.12 |
|
| 38 |
cnh |
1.15 |
C !INPUT/OUTPUT PARAMETERS: |
| 39 |
heimbach |
1.12 |
C == Routine arguments == |
| 40 |
adcroft |
1.4 |
integer bi,bj,iMin,iMax,jMin,jMax |
| 41 |
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integer k ! Level of Theta/Salt slice |
| 42 |
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integer kRef ! Pressure reference level |
| 43 |
adcroft |
1.13 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 44 |
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_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 45 |
adcroft |
1.4 |
_RL rholoc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 46 |
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integer myThid |
| 47 |
heimbach |
1.12 |
|
| 48 |
cnh |
1.15 |
C !LOCAL VARIABLES: |
| 49 |
heimbach |
1.12 |
C == Local variables == |
| 50 |
adcroft |
1.4 |
integer i,j |
| 51 |
mlosch |
1.21 |
_RL refTemp,refSalt,sigRef,tP,sP,deltaSig,dRho |
| 52 |
mlosch |
1.16 |
_RL rhoP0(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 53 |
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_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 54 |
mlosch |
1.19 |
_RL rhoNum(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 55 |
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_RL rhoDen(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 56 |
adcroft |
1.10 |
character*(max_len_mbuf) msgbuf |
| 57 |
cnh |
1.15 |
CEOP |
| 58 |
heimbach |
1.11 |
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| 59 |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 60 |
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DO j=1-OLy,sNy+OLy |
| 61 |
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DO i=1-OLx,sNx+OLx |
| 62 |
mlosch |
1.16 |
rholoc(i,j) = 0. _d 0 |
| 63 |
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rhoP0(i,j) = 0. _d 0 |
| 64 |
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bulkMod(i,j) = 0. _d 0 |
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heimbach |
1.11 |
ENDDO |
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ENDDO |
| 67 |
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#endif |
| 68 |
cnh |
1.1 |
|
| 69 |
mlosch |
1.22 |
#ifdef CHECK_SALINITY_FOR_NEGATIVE_VALUES |
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CALL LOOK_FOR_NEG_SALINITY( bi, bj, iMin, iMax, jMin, jMax, k, |
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& sFld, myThid ) |
| 72 |
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#endif |
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mlosch |
1.19 |
if (equationOfState.eq.'LINEAR') then |
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adcroft |
1.4 |
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C ***NOTE*** |
| 77 |
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C In the linear EOS, to make the static stability calculation meaningful |
| 78 |
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C we alway calculate the perturbation with respect to the surface level. |
| 79 |
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C ********** |
| 80 |
adcroft |
1.6 |
refTemp=tRef(kRef) |
| 81 |
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refSalt=sRef(kRef) |
| 82 |
adcroft |
1.4 |
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mlosch |
1.21 |
dRho = rhoNil-rhoConst |
| 84 |
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| 85 |
cnh |
1.1 |
do j=jMin,jMax |
| 86 |
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do i=iMin,iMax |
| 87 |
mlosch |
1.21 |
rholoc(i,j)=rhoNil*( |
| 88 |
adcroft |
1.13 |
& sBeta*(sFld(i,j,k,bi,bj)-refSalt) |
| 89 |
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& -tAlpha*(tFld(i,j,k,bi,bj)-refTemp) ) |
| 90 |
mlosch |
1.21 |
& + dRho |
| 91 |
cnh |
1.1 |
enddo |
| 92 |
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enddo |
| 93 |
cnh |
1.8 |
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| 94 |
mlosch |
1.19 |
elseif (equationOfState.eq.'POLY3') then |
| 95 |
adcroft |
1.4 |
|
| 96 |
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refTemp=eosRefT(kRef) |
| 97 |
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refSalt=eosRefS(kRef) |
| 98 |
mlosch |
1.21 |
sigRef=eosSig0(kRef) + (1000.-rhoConst) |
| 99 |
adcroft |
1.4 |
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| 100 |
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do j=jMin,jMax |
| 101 |
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do i=iMin,iMax |
| 102 |
adcroft |
1.13 |
tP=tFld(i,j,k,bi,bj)-refTemp |
| 103 |
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sP=sFld(i,j,k,bi,bj)-refSalt |
| 104 |
adcroft |
1.5 |
#ifdef USE_FACTORIZED_POLY |
| 105 |
adcroft |
1.4 |
deltaSig= |
| 106 |
adcroft |
1.5 |
& (( eosC(9,kRef)*sP + eosC(5,kRef) )*sP + eosC(2,kRef) )*sP |
| 107 |
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& + ( ( eosC(6,kRef) |
| 108 |
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& *tP |
| 109 |
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& +eosC(7,kRef)*sP + eosC(3,kRef) |
| 110 |
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& )*tP |
| 111 |
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& +(eosC(8,kRef)*sP + eosC(4,kRef) )*sP + eosC(1,kRef) |
| 112 |
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& )*tP |
| 113 |
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#else |
| 114 |
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deltaSig= |
| 115 |
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& eosC(1,kRef)*tP |
| 116 |
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& +eosC(2,kRef) *sP |
| 117 |
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& +eosC(3,kRef)*tP*tP |
| 118 |
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& +eosC(4,kRef)*tP *sP |
| 119 |
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& +eosC(5,kRef) *sP*sP |
| 120 |
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& +eosC(6,kRef)*tP*tP*tP |
| 121 |
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& +eosC(7,kRef)*tP*tP *sP |
| 122 |
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& +eosC(8,kRef)*tP *sP*sP |
| 123 |
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& +eosC(9,kRef) *sP*sP*sP |
| 124 |
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#endif |
| 125 |
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rholoc(i,j)=sigRef+deltaSig |
| 126 |
adcroft |
1.4 |
enddo |
| 127 |
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enddo |
| 128 |
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| 129 |
mlosch |
1.19 |
elseif ( equationOfState(1:5).eq.'JMD95' |
| 130 |
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& .or. equationOfState.eq.'UNESCO' ) then |
| 131 |
mlosch |
1.16 |
C nonlinear equation of state in pressure coordinates |
| 132 |
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| 133 |
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CALL FIND_RHOP0( |
| 134 |
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I bi, bj, iMin, iMax, jMin, jMax, k, |
| 135 |
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I tFld, sFld, |
| 136 |
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O rhoP0, |
| 137 |
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I myThid ) |
| 138 |
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| 139 |
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CALL FIND_BULKMOD( |
| 140 |
adcroft |
1.18 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 141 |
mlosch |
1.16 |
I tFld, sFld, |
| 142 |
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O bulkMod, |
| 143 |
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I myThid ) |
| 144 |
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|
| 145 |
heimbach |
1.23 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 146 |
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cph can't do storing here since find_rho is called multiple times; |
| 147 |
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cph additional recomp. should be acceptable |
| 148 |
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cphCADJ STORE rhoP0(:,:) = comlev1_bibj_k , key=kkey , byte=isbyte |
| 149 |
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cphCADJ STORE bulkMod(:,:) = comlev1_bibj_k , key=kkey , byte=isbyte |
| 150 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
| 151 |
mlosch |
1.16 |
do j=jMin,jMax |
| 152 |
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do i=iMin,iMax |
| 153 |
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| 154 |
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C density of sea water at pressure p |
| 155 |
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rholoc(i,j) = rhoP0(i,j) |
| 156 |
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& /(1. _d 0 - |
| 157 |
adcroft |
1.18 |
& pressure(i,j,kRef,bi,bj)*SItoBar/bulkMod(i,j)) |
| 158 |
mlosch |
1.21 |
& - rhoConst |
| 159 |
mlosch |
1.16 |
|
| 160 |
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end do |
| 161 |
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end do |
| 162 |
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| 163 |
mlosch |
1.19 |
elseif ( equationOfState.eq.'MDJWF' ) then |
| 164 |
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| 165 |
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CALL FIND_RHONUM( bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 166 |
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& tFld, sFld, rhoNum, myThid ) |
| 167 |
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| 168 |
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CALL FIND_RHODEN( bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 169 |
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& tFld, sFld, rhoDen, myThid ) |
| 170 |
heimbach |
1.23 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 171 |
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cph can't do storing here since find_rho is called multiple times; |
| 172 |
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cph additional recomp. should be acceptable |
| 173 |
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cphCADJ STORE rhoNum(:,:) = comlev1_bibj_k , key=kkey , byte=isbyte |
| 174 |
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cphCADJ STORE rhoDen(:,:) = comlev1_bibj_k , key=kkey , byte=isbyte |
| 175 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
| 176 |
mlosch |
1.19 |
do j=jMin,jMax |
| 177 |
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do i=iMin,iMax |
| 178 |
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| 179 |
mlosch |
1.21 |
rholoc(i,j) = rhoNum(i,j)*rhoDen(i,j) - rhoConst |
| 180 |
mlosch |
1.19 |
|
| 181 |
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end do |
| 182 |
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end do |
| 183 |
heimbach |
1.23 |
|
| 184 |
mlosch |
1.19 |
elseif( equationOfState .eq. 'IDEALG' ) then |
| 185 |
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C |
| 186 |
adcroft |
1.4 |
else |
| 187 |
mlosch |
1.19 |
write(msgbuf,'(3a)') |
| 188 |
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& ' FIND_RHO: equationOfState = "',equationOfState,'"' |
| 189 |
adcroft |
1.10 |
call print_error( msgbuf, mythid ) |
| 190 |
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stop 'ABNORMAL END: S/R FIND_RHO' |
| 191 |
adcroft |
1.4 |
endif |
| 192 |
cnh |
1.1 |
|
| 193 |
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return |
| 194 |
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end |
| 195 |
mlosch |
1.16 |
|
| 196 |
|
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CBOP |
| 197 |
|
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C !ROUTINE: FIND_RHOP0 |
| 198 |
|
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C !INTERFACE: |
| 199 |
|
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subroutine FIND_RHOP0( |
| 200 |
|
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I bi, bj, iMin, iMax, jMin, jMax, k, |
| 201 |
|
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I tFld, sFld, |
| 202 |
|
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O rhoP0, |
| 203 |
|
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I myThid ) |
| 204 |
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| 205 |
|
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C !DESCRIPTION: \bv |
| 206 |
|
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C *==========================================================* |
| 207 |
|
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C | o SUBROUTINE FIND_RHOP0 |
| 208 |
|
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C | Calculates rho(S,T,0) of a slice |
| 209 |
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C *==========================================================* |
| 210 |
|
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C | |
| 211 |
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C | k - is the surface level |
| 212 |
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C | |
| 213 |
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C *==========================================================* |
| 214 |
|
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C \ev |
| 215 |
|
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|
| 216 |
|
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C !USES: |
| 217 |
|
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implicit none |
| 218 |
|
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C == Global variables == |
| 219 |
|
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#include "SIZE.h" |
| 220 |
|
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#include "EEPARAMS.h" |
| 221 |
|
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#include "PARAMS.h" |
| 222 |
|
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#include "EOS.h" |
| 223 |
|
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|
| 224 |
|
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C !INPUT/OUTPUT PARAMETERS: |
| 225 |
|
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C == Routine arguments == |
| 226 |
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integer bi,bj,iMin,iMax,jMin,jMax |
| 227 |
mlosch |
1.19 |
integer k ! Level of surface slice |
| 228 |
mlosch |
1.16 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 229 |
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_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 230 |
|
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_RL rhoP0(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 231 |
|
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_RL rfresh, rsalt |
| 232 |
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integer myThid |
| 233 |
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| 234 |
|
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C !LOCAL VARIABLES: |
| 235 |
|
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C == Local variables == |
| 236 |
|
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integer i,j |
| 237 |
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_RL t, t2, t3, t4, s, s3o2 |
| 238 |
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CEOP |
| 239 |
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| 240 |
|
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do j=jMin,jMax |
| 241 |
|
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do i=iMin,iMax |
| 242 |
|
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C abbreviations |
| 243 |
|
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t = tFld(i,j,k,bi,bj) |
| 244 |
|
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t2 = t*t |
| 245 |
|
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t3 = t2*t |
| 246 |
|
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t4 = t3*t |
| 247 |
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|
| 248 |
adcroft |
1.17 |
s = sFld(i,j,k,bi,bj) |
| 249 |
mlosch |
1.16 |
s3o2 = s*sqrt(s) |
| 250 |
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| 251 |
|
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C density of freshwater at the surface |
| 252 |
|
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rfresh = |
| 253 |
|
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& eosJMDCFw(1) |
| 254 |
|
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& + eosJMDCFw(2)*t |
| 255 |
|
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& + eosJMDCFw(3)*t2 |
| 256 |
|
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& + eosJMDCFw(4)*t3 |
| 257 |
|
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& + eosJMDCFw(5)*t4 |
| 258 |
|
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& + eosJMDCFw(6)*t4*t |
| 259 |
|
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C density of sea water at the surface |
| 260 |
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rsalt = |
| 261 |
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& s*( |
| 262 |
|
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& eosJMDCSw(1) |
| 263 |
|
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& + eosJMDCSw(2)*t |
| 264 |
|
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& + eosJMDCSw(3)*t2 |
| 265 |
|
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& + eosJMDCSw(4)*t3 |
| 266 |
|
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& + eosJMDCSw(5)*t4 |
| 267 |
|
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& ) |
| 268 |
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& + s3o2*( |
| 269 |
|
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& eosJMDCSw(6) |
| 270 |
|
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& + eosJMDCSw(7)*t |
| 271 |
|
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& + eosJMDCSw(8)*t2 |
| 272 |
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& ) |
| 273 |
|
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& + eosJMDCSw(9)*s*s |
| 274 |
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| 275 |
|
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rhoP0(i,j) = rfresh + rsalt |
| 276 |
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| 277 |
|
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end do |
| 278 |
|
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end do |
| 279 |
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| 280 |
|
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return |
| 281 |
|
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end |
| 282 |
|
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|
| 283 |
|
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C !ROUTINE: FIND_BULKMOD |
| 284 |
|
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C !INTERFACE: |
| 285 |
|
|
subroutine FIND_BULKMOD( |
| 286 |
adcroft |
1.18 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 287 |
mlosch |
1.16 |
I tFld, sFld, |
| 288 |
|
|
O bulkMod, |
| 289 |
|
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I myThid ) |
| 290 |
|
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|
| 291 |
|
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C !DESCRIPTION: \bv |
| 292 |
|
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C *==========================================================* |
| 293 |
|
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C | o SUBROUTINE FIND_BULKMOD |
| 294 |
|
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C | Calculates the secant bulk modulus K(S,T,p) of a slice |
| 295 |
|
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C *==========================================================* |
| 296 |
|
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C | |
| 297 |
adcroft |
1.18 |
C | k - is the surface level |
| 298 |
|
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C | kRef - is the level to use to determine the pressure |
| 299 |
mlosch |
1.16 |
C | |
| 300 |
|
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C *==========================================================* |
| 301 |
|
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C \ev |
| 302 |
|
|
|
| 303 |
|
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C !USES: |
| 304 |
|
|
implicit none |
| 305 |
|
|
C == Global variables == |
| 306 |
|
|
#include "SIZE.h" |
| 307 |
|
|
#include "EEPARAMS.h" |
| 308 |
|
|
#include "PARAMS.h" |
| 309 |
|
|
#include "EOS.h" |
| 310 |
|
|
|
| 311 |
|
|
C !INPUT/OUTPUT PARAMETERS: |
| 312 |
|
|
C == Routine arguments == |
| 313 |
|
|
integer bi,bj,iMin,iMax,jMin,jMax |
| 314 |
|
|
integer k ! Level of surface slice |
| 315 |
adcroft |
1.18 |
integer kRef ! Reference pressure level |
| 316 |
mlosch |
1.16 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 317 |
|
|
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 318 |
|
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_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 319 |
|
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_RL bMfresh, bMsalt, bMpres |
| 320 |
|
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integer myThid |
| 321 |
|
|
|
| 322 |
|
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C !LOCAL VARIABLES: |
| 323 |
|
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C == Local variables == |
| 324 |
|
|
integer i,j |
| 325 |
|
|
_RL t, t2, t3, t4, s, s3o2, p, p2 |
| 326 |
|
|
CEOP |
| 327 |
|
|
|
| 328 |
|
|
do j=jMin,jMax |
| 329 |
|
|
do i=iMin,iMax |
| 330 |
|
|
C abbreviations |
| 331 |
|
|
t = tFld(i,j,k,bi,bj) |
| 332 |
|
|
t2 = t*t |
| 333 |
|
|
t3 = t2*t |
| 334 |
|
|
t4 = t3*t |
| 335 |
|
|
|
| 336 |
adcroft |
1.17 |
s = sFld(i,j,k,bi,bj) |
| 337 |
mlosch |
1.16 |
s3o2 = s*sqrt(s) |
| 338 |
|
|
C |
| 339 |
adcroft |
1.18 |
p = pressure(i,j,kRef,bi,bj)*SItoBar |
| 340 |
mlosch |
1.16 |
p2 = p*p |
| 341 |
|
|
C secant bulk modulus of fresh water at the surface |
| 342 |
|
|
bMfresh = |
| 343 |
|
|
& eosJMDCKFw(1) |
| 344 |
|
|
& + eosJMDCKFw(2)*t |
| 345 |
|
|
& + eosJMDCKFw(3)*t2 |
| 346 |
|
|
& + eosJMDCKFw(4)*t3 |
| 347 |
|
|
& + eosJMDCKFw(5)*t4 |
| 348 |
|
|
C secant bulk modulus of sea water at the surface |
| 349 |
|
|
bMsalt = |
| 350 |
|
|
& s*( eosJMDCKSw(1) |
| 351 |
|
|
& + eosJMDCKSw(2)*t |
| 352 |
|
|
& + eosJMDCKSw(3)*t2 |
| 353 |
|
|
& + eosJMDCKSw(4)*t3 |
| 354 |
|
|
& ) |
| 355 |
|
|
& + s3o2*( eosJMDCKSw(5) |
| 356 |
|
|
& + eosJMDCKSw(6)*t |
| 357 |
|
|
& + eosJMDCKSw(7)*t2 |
| 358 |
|
|
& ) |
| 359 |
|
|
C secant bulk modulus of sea water at pressure p |
| 360 |
|
|
bMpres = |
| 361 |
|
|
& p*( eosJMDCKP(1) |
| 362 |
|
|
& + eosJMDCKP(2)*t |
| 363 |
|
|
& + eosJMDCKP(3)*t2 |
| 364 |
|
|
& + eosJMDCKP(4)*t3 |
| 365 |
|
|
& ) |
| 366 |
|
|
& + p*s*( eosJMDCKP(5) |
| 367 |
|
|
& + eosJMDCKP(6)*t |
| 368 |
|
|
& + eosJMDCKP(7)*t2 |
| 369 |
|
|
& ) |
| 370 |
|
|
& + p*s3o2*eosJMDCKP(8) |
| 371 |
|
|
& + p2*( eosJMDCKP(9) |
| 372 |
|
|
& + eosJMDCKP(10)*t |
| 373 |
|
|
& + eosJMDCKP(11)*t2 |
| 374 |
|
|
& ) |
| 375 |
|
|
& + p2*s*( eosJMDCKP(12) |
| 376 |
|
|
& + eosJMDCKP(13)*t |
| 377 |
|
|
& + eosJMDCKP(14)*t2 |
| 378 |
|
|
& ) |
| 379 |
|
|
|
| 380 |
|
|
bulkMod(i,j) = bMfresh + bMsalt + bMpres |
| 381 |
|
|
|
| 382 |
|
|
end do |
| 383 |
|
|
end do |
| 384 |
|
|
|
| 385 |
|
|
return |
| 386 |
|
|
end |
| 387 |
|
|
|
| 388 |
mlosch |
1.19 |
CBOP |
| 389 |
|
|
C !ROUTINE: FIND_RHONUM |
| 390 |
|
|
C !INTERFACE: |
| 391 |
|
|
subroutine FIND_RHONUM( |
| 392 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 393 |
|
|
I tFld, sFld, |
| 394 |
|
|
O rhoNum, |
| 395 |
|
|
I myThid ) |
| 396 |
|
|
|
| 397 |
|
|
C !DESCRIPTION: \bv |
| 398 |
|
|
C *==========================================================* |
| 399 |
|
|
C | o SUBROUTINE FIND_RHONUM |
| 400 |
|
|
C | Calculates the numerator of the McDougall et al. |
| 401 |
|
|
C | equation of state |
| 402 |
|
|
C | - the code is more or less a copy of MOM4 |
| 403 |
|
|
C *==========================================================* |
| 404 |
|
|
C | |
| 405 |
|
|
C | k - is the surface level |
| 406 |
|
|
C | kRef - is the level to use to determine the pressure |
| 407 |
|
|
C | |
| 408 |
|
|
C *==========================================================* |
| 409 |
|
|
C \ev |
| 410 |
|
|
|
| 411 |
|
|
C !USES: |
| 412 |
|
|
implicit none |
| 413 |
|
|
C == Global variables == |
| 414 |
|
|
#include "SIZE.h" |
| 415 |
|
|
#include "EEPARAMS.h" |
| 416 |
|
|
#include "PARAMS.h" |
| 417 |
|
|
#include "EOS.h" |
| 418 |
|
|
|
| 419 |
|
|
C !INPUT/OUTPUT PARAMETERS: |
| 420 |
|
|
C == Routine arguments == |
| 421 |
|
|
integer bi,bj,iMin,iMax,jMin,jMax |
| 422 |
|
|
integer k ! Level of surface slice |
| 423 |
|
|
integer kRef ! Reference pressure level |
| 424 |
|
|
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 425 |
|
|
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 426 |
|
|
_RL rhoNum(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 427 |
|
|
integer myThid |
| 428 |
|
|
|
| 429 |
|
|
C !LOCAL VARIABLES: |
| 430 |
|
|
C == Local variables == |
| 431 |
|
|
integer i,j |
| 432 |
|
|
_RL t1, t2, s1, p1 |
| 433 |
|
|
CEOP |
| 434 |
|
|
do j=jMin,jMax |
| 435 |
|
|
do i=iMin,iMax |
| 436 |
|
|
C abbreviations |
| 437 |
|
|
t1 = tFld(i,j,k,bi,bj) |
| 438 |
|
|
t2 = t1*t1 |
| 439 |
|
|
s1 = sFld(i,j,k,bi,bj) |
| 440 |
|
|
|
| 441 |
|
|
p1 = pressure(i,j,kRef,bi,bj)*SItodBar |
| 442 |
|
|
|
| 443 |
|
|
rhoNum(i,j) = eosMDJWFnum(0) |
| 444 |
|
|
& + t1*(eosMDJWFnum(1) |
| 445 |
|
|
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
| 446 |
|
|
& + s1*(eosMDJWFnum(4) |
| 447 |
|
|
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
| 448 |
|
|
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
| 449 |
|
|
& + eosMDJWFnum(9)*s1 |
| 450 |
|
|
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
| 451 |
|
|
|
| 452 |
|
|
end do |
| 453 |
|
|
end do |
| 454 |
|
|
|
| 455 |
|
|
return |
| 456 |
|
|
end |
| 457 |
|
|
|
| 458 |
|
|
CBOP |
| 459 |
|
|
C !ROUTINE: FIND_RHODEN |
| 460 |
|
|
C !INTERFACE: |
| 461 |
|
|
subroutine FIND_RHODEN( |
| 462 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 463 |
|
|
I tFld, sFld, |
| 464 |
|
|
O rhoDen, |
| 465 |
|
|
I myThid ) |
| 466 |
|
|
|
| 467 |
|
|
C !DESCRIPTION: \bv |
| 468 |
|
|
C *==========================================================* |
| 469 |
|
|
C | o SUBROUTINE FIND_RHODEN |
| 470 |
|
|
C | Calculates the denominator of the McDougall et al. |
| 471 |
|
|
C | equation of state |
| 472 |
|
|
C | - the code is more or less a copy of MOM4 |
| 473 |
|
|
C *==========================================================* |
| 474 |
|
|
C | |
| 475 |
|
|
C | k - is the surface level |
| 476 |
|
|
C | kRef - is the level to use to determine the pressure |
| 477 |
|
|
C | |
| 478 |
|
|
C *==========================================================* |
| 479 |
|
|
C \ev |
| 480 |
|
|
|
| 481 |
|
|
C !USES: |
| 482 |
|
|
implicit none |
| 483 |
|
|
C == Global variables == |
| 484 |
|
|
#include "SIZE.h" |
| 485 |
|
|
#include "EEPARAMS.h" |
| 486 |
|
|
#include "PARAMS.h" |
| 487 |
|
|
#include "EOS.h" |
| 488 |
|
|
|
| 489 |
|
|
C !INPUT/OUTPUT PARAMETERS: |
| 490 |
|
|
C == Routine arguments == |
| 491 |
|
|
integer bi,bj,iMin,iMax,jMin,jMax |
| 492 |
|
|
integer k ! Level of surface slice |
| 493 |
|
|
integer kRef ! Reference pressure level |
| 494 |
|
|
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 495 |
|
|
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 496 |
|
|
_RL rhoDen(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 497 |
|
|
integer myThid |
| 498 |
|
|
|
| 499 |
|
|
C !LOCAL VARIABLES: |
| 500 |
|
|
C == Local variables == |
| 501 |
|
|
integer i,j |
| 502 |
|
|
_RL t1, t2, s1, sp5, p1, p1t1 |
| 503 |
|
|
_RL den, epsln |
| 504 |
|
|
parameter ( epsln = 0. _d 0 ) |
| 505 |
|
|
CEOP |
| 506 |
|
|
do j=jMin,jMax |
| 507 |
|
|
do i=iMin,iMax |
| 508 |
|
|
C abbreviations |
| 509 |
|
|
t1 = tFld(i,j,k,bi,bj) |
| 510 |
|
|
t2 = t1*t1 |
| 511 |
|
|
s1 = sFld(i,j,k,bi,bj) |
| 512 |
|
|
sp5 = sqrt(s1) |
| 513 |
|
|
|
| 514 |
|
|
p1 = pressure(i,j,kRef,bi,bj)*SItodBar |
| 515 |
|
|
p1t1 = p1*t1 |
| 516 |
|
|
|
| 517 |
|
|
den = eosMDJWFden(0) |
| 518 |
|
|
& + t1*(eosMDJWFden(1) |
| 519 |
|
|
& + t1*(eosMDJWFden(2) |
| 520 |
|
|
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
| 521 |
|
|
& + s1*(eosMDJWFden(5) |
| 522 |
|
|
& + t1*(eosMDJWFden(6) |
| 523 |
|
|
& + eosMDJWFden(7)*t2) |
| 524 |
|
|
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
| 525 |
|
|
& + p1*(eosMDJWFden(10) |
| 526 |
|
|
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
| 527 |
|
|
|
| 528 |
|
|
rhoDen(i,j) = 1.0/(epsln+den) |
| 529 |
|
|
|
| 530 |
|
|
end do |
| 531 |
|
|
end do |
| 532 |
|
|
|
| 533 |
|
|
return |
| 534 |
|
|
end |
| 535 |
mlosch |
1.20 |
|
| 536 |
|
|
subroutine find_rho_scalar( |
| 537 |
|
|
I tLoc, sLoc, pLoc, |
| 538 |
|
|
O rhoLoc, |
| 539 |
|
|
I myThid ) |
| 540 |
|
|
|
| 541 |
|
|
C !DESCRIPTION: \bv |
| 542 |
|
|
C *==========================================================* |
| 543 |
|
|
C | o SUBROUTINE FIND_RHO_SCALAR |
| 544 |
mlosch |
1.21 |
C | Calculates [rho(S,T,p)-rhoConst] |
| 545 |
mlosch |
1.20 |
C *==========================================================* |
| 546 |
|
|
C \ev |
| 547 |
|
|
|
| 548 |
|
|
C !USES: |
| 549 |
|
|
implicit none |
| 550 |
|
|
C == Global variables == |
| 551 |
|
|
#include "SIZE.h" |
| 552 |
|
|
#include "EEPARAMS.h" |
| 553 |
|
|
#include "PARAMS.h" |
| 554 |
|
|
#include "EOS.h" |
| 555 |
|
|
|
| 556 |
|
|
C !INPUT/OUTPUT PARAMETERS: |
| 557 |
|
|
C == Routine arguments == |
| 558 |
|
|
_RL sLoc, tLoc, pLoc |
| 559 |
|
|
_RL rhoLoc |
| 560 |
|
|
integer myThid |
| 561 |
|
|
|
| 562 |
|
|
C !LOCAL VARIABLES: |
| 563 |
|
|
C == Local variables == |
| 564 |
|
|
|
| 565 |
|
|
_RL t1, t2, t3, t4, s1, s3o2, p1, p2, sp5, p1t1 |
| 566 |
|
|
_RL rfresh, rsalt, rhoP0 |
| 567 |
|
|
_RL bMfresh, bMsalt, bMpres, BulkMod |
| 568 |
|
|
_RL rhoNum, rhoDen, den, epsln |
| 569 |
|
|
parameter ( epsln = 0. _d 0 ) |
| 570 |
|
|
|
| 571 |
|
|
character*(max_len_mbuf) msgbuf |
| 572 |
|
|
CEOP |
| 573 |
|
|
|
| 574 |
|
|
rhoLoc = 0. _d 0 |
| 575 |
|
|
rhoP0 = 0. _d 0 |
| 576 |
|
|
bulkMod = 0. _d 0 |
| 577 |
|
|
rfresh = 0. _d 0 |
| 578 |
|
|
rsalt = 0. _d 0 |
| 579 |
|
|
bMfresh = 0. _d 0 |
| 580 |
|
|
bMsalt = 0. _d 0 |
| 581 |
|
|
bMpres = 0. _d 0 |
| 582 |
|
|
rhoNum = 0. _d 0 |
| 583 |
|
|
rhoDen = 0. _d 0 |
| 584 |
|
|
den = 0. _d 0 |
| 585 |
|
|
|
| 586 |
|
|
t1 = tLoc |
| 587 |
|
|
t2 = t1*t1 |
| 588 |
|
|
t3 = t2*t1 |
| 589 |
|
|
t4 = t3*t1 |
| 590 |
|
|
|
| 591 |
|
|
s1 = sLoc |
| 592 |
|
|
if ( s1 .lt. 0. _d 0 ) then |
| 593 |
|
|
C issue a warning |
| 594 |
|
|
write(*,'(a,i3,a,i3,a,i3,a,e13.5)') |
| 595 |
|
|
& ' FIND_RHO_SCALAR: WARNING, salinity = ', s1 |
| 596 |
|
|
s1 = 0. _d 0 |
| 597 |
|
|
end if |
| 598 |
|
|
|
| 599 |
|
|
if (equationOfState.eq.'LINEAR') then |
| 600 |
|
|
|
| 601 |
|
|
rhoLoc = 0. _d 0 |
| 602 |
|
|
|
| 603 |
|
|
elseif (equationOfState.eq.'POLY3') then |
| 604 |
|
|
|
| 605 |
|
|
C this is not correct, there is a field eosSig0 which should be use here |
| 606 |
|
|
C but I do not intent to include the reference level in this routine |
| 607 |
|
|
write(*,'(a)') |
| 608 |
|
|
& ' FIND_RHO_SCALAR: for POLY3, the density is not' |
| 609 |
|
|
write(*,'(a)') |
| 610 |
|
|
& ' computed correctly in this routine' |
| 611 |
|
|
rhoLoc = 0. _d 0 |
| 612 |
|
|
|
| 613 |
|
|
elseif ( equationOfState(1:5).eq.'JMD95' |
| 614 |
|
|
& .or. equationOfState.eq.'UNESCO' ) then |
| 615 |
|
|
C nonlinear equation of state in pressure coordinates |
| 616 |
|
|
|
| 617 |
|
|
s3o2 = s1*sqrt(s1) |
| 618 |
|
|
|
| 619 |
|
|
p1 = pLoc*SItoBar |
| 620 |
|
|
p2 = p1*p1 |
| 621 |
|
|
|
| 622 |
|
|
C density of freshwater at the surface |
| 623 |
|
|
rfresh = |
| 624 |
|
|
& eosJMDCFw(1) |
| 625 |
|
|
& + eosJMDCFw(2)*t1 |
| 626 |
|
|
& + eosJMDCFw(3)*t2 |
| 627 |
|
|
& + eosJMDCFw(4)*t3 |
| 628 |
|
|
& + eosJMDCFw(5)*t4 |
| 629 |
|
|
& + eosJMDCFw(6)*t4*t1 |
| 630 |
|
|
C density of sea water at the surface |
| 631 |
|
|
rsalt = |
| 632 |
|
|
& s1*( |
| 633 |
|
|
& eosJMDCSw(1) |
| 634 |
|
|
& + eosJMDCSw(2)*t1 |
| 635 |
|
|
& + eosJMDCSw(3)*t2 |
| 636 |
|
|
& + eosJMDCSw(4)*t3 |
| 637 |
|
|
& + eosJMDCSw(5)*t4 |
| 638 |
|
|
& ) |
| 639 |
|
|
& + s3o2*( |
| 640 |
|
|
& eosJMDCSw(6) |
| 641 |
|
|
& + eosJMDCSw(7)*t1 |
| 642 |
|
|
& + eosJMDCSw(8)*t2 |
| 643 |
|
|
& ) |
| 644 |
|
|
& + eosJMDCSw(9)*s1*s1 |
| 645 |
|
|
|
| 646 |
|
|
rhoP0 = rfresh + rsalt |
| 647 |
|
|
|
| 648 |
|
|
C secant bulk modulus of fresh water at the surface |
| 649 |
|
|
bMfresh = |
| 650 |
|
|
& eosJMDCKFw(1) |
| 651 |
|
|
& + eosJMDCKFw(2)*t1 |
| 652 |
|
|
& + eosJMDCKFw(3)*t2 |
| 653 |
|
|
& + eosJMDCKFw(4)*t3 |
| 654 |
|
|
& + eosJMDCKFw(5)*t4 |
| 655 |
|
|
C secant bulk modulus of sea water at the surface |
| 656 |
|
|
bMsalt = |
| 657 |
|
|
& s1*( eosJMDCKSw(1) |
| 658 |
|
|
& + eosJMDCKSw(2)*t1 |
| 659 |
|
|
& + eosJMDCKSw(3)*t2 |
| 660 |
|
|
& + eosJMDCKSw(4)*t3 |
| 661 |
|
|
& ) |
| 662 |
|
|
& + s3o2*( eosJMDCKSw(5) |
| 663 |
|
|
& + eosJMDCKSw(6)*t1 |
| 664 |
|
|
& + eosJMDCKSw(7)*t2 |
| 665 |
|
|
& ) |
| 666 |
|
|
C secant bulk modulus of sea water at pressure p |
| 667 |
|
|
bMpres = |
| 668 |
|
|
& p1*( eosJMDCKP(1) |
| 669 |
|
|
& + eosJMDCKP(2)*t1 |
| 670 |
|
|
& + eosJMDCKP(3)*t2 |
| 671 |
|
|
& + eosJMDCKP(4)*t3 |
| 672 |
|
|
& ) |
| 673 |
|
|
& + p1*s1*( eosJMDCKP(5) |
| 674 |
|
|
& + eosJMDCKP(6)*t1 |
| 675 |
|
|
& + eosJMDCKP(7)*t2 |
| 676 |
|
|
& ) |
| 677 |
|
|
& + p1*s3o2*eosJMDCKP(8) |
| 678 |
|
|
& + p2*( eosJMDCKP(9) |
| 679 |
|
|
& + eosJMDCKP(10)*t1 |
| 680 |
|
|
& + eosJMDCKP(11)*t2 |
| 681 |
|
|
& ) |
| 682 |
|
|
& + p2*s1*( eosJMDCKP(12) |
| 683 |
|
|
& + eosJMDCKP(13)*t1 |
| 684 |
|
|
& + eosJMDCKP(14)*t2 |
| 685 |
|
|
& ) |
| 686 |
|
|
|
| 687 |
|
|
bulkMod = bMfresh + bMsalt + bMpres |
| 688 |
|
|
|
| 689 |
|
|
C density of sea water at pressure p |
| 690 |
mlosch |
1.21 |
rhoLoc = rhoP0/(1. _d 0 - p1/bulkMod) - rhoConst |
| 691 |
mlosch |
1.20 |
|
| 692 |
|
|
elseif ( equationOfState.eq.'MDJWF' ) then |
| 693 |
|
|
|
| 694 |
|
|
sp5 = sqrt(s1) |
| 695 |
|
|
|
| 696 |
|
|
p1 = pLoc*SItodBar |
| 697 |
|
|
p1t1 = p1*t1 |
| 698 |
|
|
|
| 699 |
|
|
rhoNum = eosMDJWFnum(0) |
| 700 |
|
|
& + t1*(eosMDJWFnum(1) |
| 701 |
|
|
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
| 702 |
|
|
& + s1*(eosMDJWFnum(4) |
| 703 |
|
|
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
| 704 |
|
|
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
| 705 |
|
|
& + eosMDJWFnum(9)*s1 |
| 706 |
|
|
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
| 707 |
|
|
|
| 708 |
|
|
|
| 709 |
|
|
den = eosMDJWFden(0) |
| 710 |
|
|
& + t1*(eosMDJWFden(1) |
| 711 |
|
|
& + t1*(eosMDJWFden(2) |
| 712 |
|
|
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
| 713 |
|
|
& + s1*(eosMDJWFden(5) |
| 714 |
|
|
& + t1*(eosMDJWFden(6) |
| 715 |
|
|
& + eosMDJWFden(7)*t2) |
| 716 |
|
|
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
| 717 |
|
|
& + p1*(eosMDJWFden(10) |
| 718 |
|
|
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
| 719 |
|
|
|
| 720 |
|
|
rhoDen = 1.0/(epsln+den) |
| 721 |
|
|
|
| 722 |
mlosch |
1.21 |
rhoLoc = rhoNum*rhoDen - rhoConst |
| 723 |
mlosch |
1.20 |
|
| 724 |
|
|
elseif( equationOfState .eq. 'IDEALG' ) then |
| 725 |
|
|
C |
| 726 |
|
|
else |
| 727 |
|
|
write(msgbuf,'(3a)') |
| 728 |
|
|
& ' FIND_RHO_SCALAR : equationOfState = "', |
| 729 |
|
|
& equationOfState,'"' |
| 730 |
|
|
call print_error( msgbuf, mythid ) |
| 731 |
|
|
stop 'ABNORMAL END: S/R FIND_RHO_SCALAR' |
| 732 |
|
|
endif |
| 733 |
mlosch |
1.22 |
|
| 734 |
|
|
return |
| 735 |
|
|
end |
| 736 |
|
|
|
| 737 |
|
|
CBOP |
| 738 |
|
|
C !ROUTINE: LOOK_FOR_NEG_SALINITY |
| 739 |
|
|
C !INTERFACE: |
| 740 |
|
|
subroutine LOOK_FOR_NEG_SALINITY( |
| 741 |
|
|
I bi, bj, iMin, iMax, jMin, jMax, k, |
| 742 |
|
|
I sFld, |
| 743 |
|
|
I myThid ) |
| 744 |
|
|
|
| 745 |
|
|
C !DESCRIPTION: \bv |
| 746 |
|
|
C *==========================================================* |
| 747 |
|
|
C | o SUBROUTINE LOOK_FOR_NEG_SALINITY |
| 748 |
|
|
C | looks for and fixes negative salinity values |
| 749 |
|
|
C | this is necessary if the equation of state uses |
| 750 |
|
|
C | the square root of salinity |
| 751 |
|
|
C *==========================================================* |
| 752 |
|
|
C | |
| 753 |
|
|
C | k - is the Salt level |
| 754 |
|
|
C | |
| 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 "GRID.h" |
| 765 |
|
|
|
| 766 |
|
|
C !INPUT/OUTPUT PARAMETERS: |
| 767 |
|
|
C == Routine arguments == |
| 768 |
|
|
integer bi,bj,iMin,iMax,jMin,jMax |
| 769 |
|
|
integer k ! Level of Salt slice |
| 770 |
|
|
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 771 |
|
|
integer myThid |
| 772 |
|
|
|
| 773 |
|
|
C !LOCAL VARIABLES: |
| 774 |
|
|
C == Local variables == |
| 775 |
|
|
integer i,j, localWarning |
| 776 |
|
|
character*(max_len_mbuf) msgbuf |
| 777 |
|
|
CEOP |
| 778 |
|
|
|
| 779 |
|
|
localWarning = 0 |
| 780 |
|
|
do j=jMin,jMax |
| 781 |
|
|
do i=iMin,iMax |
| 782 |
|
|
C abbreviations |
| 783 |
|
|
if ( sFld(i,j,k,bi,bj) .lt. 0. _d 0 ) then |
| 784 |
|
|
localWarning = localWarning + 1 |
| 785 |
|
|
sFld(i,j,k,bi,bj) = 0. _d 0 |
| 786 |
|
|
end if |
| 787 |
|
|
end do |
| 788 |
|
|
end do |
| 789 |
|
|
C issue a warning |
| 790 |
|
|
if ( localWarning .gt. 0 ) then |
| 791 |
|
|
write(*,'(a,a)') |
| 792 |
|
|
& 'S/R LOOK_FOR_NEG_SALINITY: found negative salinity', |
| 793 |
|
|
& 'values and reset them to zero.' |
| 794 |
|
|
write(*,'(a,I3)') |
| 795 |
|
|
& 'S/R LOOK_FOR_NEG_SALINITY: current level is k = ', k |
| 796 |
|
|
end if |
| 797 |
mlosch |
1.20 |
|
| 798 |
|
|
return |
| 799 |
|
|
end |
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