| 1 |
mlosch |
1.16 |
C $Header: /u/gcmpack/MITgcm/model/src/find_rho.F,v 1.15 2001/09/26 18:09:15 cnh 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 |
|
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I bi, bj, iMin, iMax, jMin, jMax, k, kRef, eqn, |
| 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 |
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C | Calculates [rho(S,T,z)-Rhonil] of a slice |
| 20 |
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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 |
mlosch |
1.16 |
C | eqn - determines the eqn. of state: |
| 26 |
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C | 'LINEAR', 'POLY3', 'UNESCO', 'JMD95Z', 'JMD95P' |
| 27 |
cnh |
1.15 |
C | |
| 28 |
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C *==========================================================* |
| 29 |
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C \ev |
| 30 |
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| 31 |
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C !USES: |
| 32 |
cnh |
1.1 |
implicit none |
| 33 |
heimbach |
1.12 |
C == Global variables == |
| 34 |
cnh |
1.1 |
#include "SIZE.h" |
| 35 |
cnh |
1.7 |
#include "EEPARAMS.h" |
| 36 |
cnh |
1.1 |
#include "PARAMS.h" |
| 37 |
mlosch |
1.16 |
#include "EOS.h" |
| 38 |
|
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#include "GRID.h" |
| 39 |
heimbach |
1.12 |
|
| 40 |
cnh |
1.15 |
C !INPUT/OUTPUT PARAMETERS: |
| 41 |
heimbach |
1.12 |
C == Routine arguments == |
| 42 |
adcroft |
1.4 |
integer bi,bj,iMin,iMax,jMin,jMax |
| 43 |
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integer k ! Level of Theta/Salt slice |
| 44 |
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integer kRef ! Pressure reference level |
| 45 |
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character*(*) eqn |
| 46 |
adcroft |
1.13 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 47 |
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_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 48 |
adcroft |
1.4 |
_RL rholoc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 49 |
|
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integer myThid |
| 50 |
heimbach |
1.12 |
|
| 51 |
cnh |
1.15 |
C !LOCAL VARIABLES: |
| 52 |
heimbach |
1.12 |
C == Local variables == |
| 53 |
adcroft |
1.4 |
integer i,j |
| 54 |
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_RL refTemp,refSalt,sigRef,tP,sP,deltaSig |
| 55 |
mlosch |
1.16 |
_RL rhoP0(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 56 |
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_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 57 |
adcroft |
1.10 |
character*(max_len_mbuf) msgbuf |
| 58 |
cnh |
1.15 |
CEOP |
| 59 |
heimbach |
1.11 |
|
| 60 |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 61 |
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DO j=1-OLy,sNy+OLy |
| 62 |
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DO i=1-OLx,sNx+OLx |
| 63 |
mlosch |
1.16 |
rholoc(i,j) = 0. _d 0 |
| 64 |
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rhoP0(i,j) = 0. _d 0 |
| 65 |
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bulkMod(i,j) = 0. _d 0 |
| 66 |
heimbach |
1.11 |
ENDDO |
| 67 |
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ENDDO |
| 68 |
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#endif |
| 69 |
cnh |
1.1 |
|
| 70 |
adcroft |
1.4 |
if (eqn.eq.'LINEAR') then |
| 71 |
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| 72 |
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C ***NOTE*** |
| 73 |
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C In the linear EOS, to make the static stability calculation meaningful |
| 74 |
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C we alway calculate the perturbation with respect to the surface level. |
| 75 |
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C ********** |
| 76 |
adcroft |
1.6 |
refTemp=tRef(kRef) |
| 77 |
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refSalt=sRef(kRef) |
| 78 |
adcroft |
1.4 |
|
| 79 |
cnh |
1.1 |
do j=jMin,jMax |
| 80 |
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do i=iMin,iMax |
| 81 |
adcroft |
1.4 |
rholoc(i,j)=rhonil*( |
| 82 |
adcroft |
1.13 |
& sBeta*(sFld(i,j,k,bi,bj)-refSalt) |
| 83 |
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& -tAlpha*(tFld(i,j,k,bi,bj)-refTemp) ) |
| 84 |
cnh |
1.1 |
enddo |
| 85 |
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enddo |
| 86 |
cnh |
1.8 |
|
| 87 |
adcroft |
1.4 |
elseif (eqn.eq.'POLY3') then |
| 88 |
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| 89 |
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refTemp=eosRefT(kRef) |
| 90 |
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refSalt=eosRefS(kRef) |
| 91 |
adcroft |
1.5 |
sigRef=eosSig0(kRef) + (1000.-Rhonil) |
| 92 |
adcroft |
1.4 |
|
| 93 |
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do j=jMin,jMax |
| 94 |
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do i=iMin,iMax |
| 95 |
adcroft |
1.13 |
tP=tFld(i,j,k,bi,bj)-refTemp |
| 96 |
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sP=sFld(i,j,k,bi,bj)-refSalt |
| 97 |
adcroft |
1.5 |
#ifdef USE_FACTORIZED_POLY |
| 98 |
adcroft |
1.4 |
deltaSig= |
| 99 |
adcroft |
1.5 |
& (( eosC(9,kRef)*sP + eosC(5,kRef) )*sP + eosC(2,kRef) )*sP |
| 100 |
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& + ( ( eosC(6,kRef) |
| 101 |
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& *tP |
| 102 |
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& +eosC(7,kRef)*sP + eosC(3,kRef) |
| 103 |
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& )*tP |
| 104 |
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& +(eosC(8,kRef)*sP + eosC(4,kRef) )*sP + eosC(1,kRef) |
| 105 |
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& )*tP |
| 106 |
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#else |
| 107 |
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deltaSig= |
| 108 |
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& eosC(1,kRef)*tP |
| 109 |
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& +eosC(2,kRef) *sP |
| 110 |
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& +eosC(3,kRef)*tP*tP |
| 111 |
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& +eosC(4,kRef)*tP *sP |
| 112 |
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& +eosC(5,kRef) *sP*sP |
| 113 |
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& +eosC(6,kRef)*tP*tP*tP |
| 114 |
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& +eosC(7,kRef)*tP*tP *sP |
| 115 |
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& +eosC(8,kRef)*tP *sP*sP |
| 116 |
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& +eosC(9,kRef) *sP*sP*sP |
| 117 |
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#endif |
| 118 |
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rholoc(i,j)=sigRef+deltaSig |
| 119 |
adcroft |
1.4 |
enddo |
| 120 |
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enddo |
| 121 |
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|
| 122 |
mlosch |
1.16 |
elseif ( eqn(1:5).eq.'JMD95' .or. eqn.eq.'UNESCO' ) then |
| 123 |
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C nonlinear equation of state in pressure coordinates |
| 124 |
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| 125 |
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CALL FIND_RHOP0( |
| 126 |
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I bi, bj, iMin, iMax, jMin, jMax, k, |
| 127 |
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I tFld, sFld, |
| 128 |
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O rhoP0, |
| 129 |
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I myThid ) |
| 130 |
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| 131 |
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CALL FIND_BULKMOD( |
| 132 |
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I bi, bj, iMin, iMax, jMin, jMax, k, |
| 133 |
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I tFld, sFld, |
| 134 |
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O bulkMod, |
| 135 |
|
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I myThid ) |
| 136 |
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| 137 |
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do j=jMin,jMax |
| 138 |
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do i=iMin,iMax |
| 139 |
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| 140 |
|
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C density of sea water at pressure p |
| 141 |
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rholoc(i,j) = rhoP0(i,j) |
| 142 |
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& /(1. _d 0 - |
| 143 |
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& pressure(i,j,k,bi,bj)*SItoBar/bulkMod(i,j)) |
| 144 |
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& - rhonil |
| 145 |
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| 146 |
|
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end do |
| 147 |
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end do |
| 148 |
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| 149 |
adcroft |
1.4 |
else |
| 150 |
adcroft |
1.13 |
write(msgbuf,'(3a)') ' FIND_RHO: eqn = "',eqn,'"' |
| 151 |
adcroft |
1.10 |
call print_error( msgbuf, mythid ) |
| 152 |
|
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stop 'ABNORMAL END: S/R FIND_RHO' |
| 153 |
adcroft |
1.4 |
endif |
| 154 |
cnh |
1.1 |
|
| 155 |
|
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return |
| 156 |
|
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end |
| 157 |
mlosch |
1.16 |
|
| 158 |
|
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CBOP |
| 159 |
|
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C !ROUTINE: FIND_RHOP0 |
| 160 |
|
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C !INTERFACE: |
| 161 |
|
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subroutine FIND_RHOP0( |
| 162 |
|
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I bi, bj, iMin, iMax, jMin, jMax, k, |
| 163 |
|
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I tFld, sFld, |
| 164 |
|
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O rhoP0, |
| 165 |
|
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I myThid ) |
| 166 |
|
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|
| 167 |
|
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C !DESCRIPTION: \bv |
| 168 |
|
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C *==========================================================* |
| 169 |
|
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C | o SUBROUTINE FIND_RHOP0 |
| 170 |
|
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C | Calculates rho(S,T,0) of a slice |
| 171 |
|
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C *==========================================================* |
| 172 |
|
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C | |
| 173 |
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C | k - is the surface level |
| 174 |
|
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C | |
| 175 |
|
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C *==========================================================* |
| 176 |
|
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C \ev |
| 177 |
|
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|
| 178 |
|
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C !USES: |
| 179 |
|
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implicit none |
| 180 |
|
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C == Global variables == |
| 181 |
|
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#include "SIZE.h" |
| 182 |
|
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#include "EEPARAMS.h" |
| 183 |
|
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#include "PARAMS.h" |
| 184 |
|
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#include "EOS.h" |
| 185 |
|
|
|
| 186 |
|
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C !INPUT/OUTPUT PARAMETERS: |
| 187 |
|
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C == Routine arguments == |
| 188 |
|
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integer bi,bj,iMin,iMax,jMin,jMax |
| 189 |
|
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integer k ! Level of surface slice |
| 190 |
|
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_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 191 |
|
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_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 192 |
|
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_RL rhoP0(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 193 |
|
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_RL rfresh, rsalt |
| 194 |
|
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integer myThid |
| 195 |
|
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|
| 196 |
|
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C !LOCAL VARIABLES: |
| 197 |
|
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C == Local variables == |
| 198 |
|
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integer i,j |
| 199 |
|
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_RL t, t2, t3, t4, s, s3o2 |
| 200 |
|
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CEOP |
| 201 |
|
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|
| 202 |
|
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do j=jMin,jMax |
| 203 |
|
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do i=iMin,iMax |
| 204 |
|
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C abbreviations |
| 205 |
|
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t = tFld(i,j,k,bi,bj) |
| 206 |
|
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t2 = t*t |
| 207 |
|
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t3 = t2*t |
| 208 |
|
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t4 = t3*t |
| 209 |
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| 210 |
|
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if ( sFld(i,j,k,bi,bj) .lt. 0. _d 0 ) then |
| 211 |
|
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C issue a warning |
| 212 |
|
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write(*,'(a,i3,a,i3,a,i3,a,e13.5)') |
| 213 |
|
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& ' FIND_RHOP0: WARNING, s(',i,',',j,',',k,') = ', s |
| 214 |
|
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s = 0. _d 0 |
| 215 |
|
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else |
| 216 |
|
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s = sFld(i,j,k,bi,bj) |
| 217 |
|
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end if |
| 218 |
|
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s3o2 = s*sqrt(s) |
| 219 |
|
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|
| 220 |
|
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C density of freshwater at the surface |
| 221 |
|
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rfresh = |
| 222 |
|
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& eosJMDCFw(1) |
| 223 |
|
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& + eosJMDCFw(2)*t |
| 224 |
|
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& + eosJMDCFw(3)*t2 |
| 225 |
|
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& + eosJMDCFw(4)*t3 |
| 226 |
|
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& + eosJMDCFw(5)*t4 |
| 227 |
|
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& + eosJMDCFw(6)*t4*t |
| 228 |
|
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C density of sea water at the surface |
| 229 |
|
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rsalt = |
| 230 |
|
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& s*( |
| 231 |
|
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& eosJMDCSw(1) |
| 232 |
|
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& + eosJMDCSw(2)*t |
| 233 |
|
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& + eosJMDCSw(3)*t2 |
| 234 |
|
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& + eosJMDCSw(4)*t3 |
| 235 |
|
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& + eosJMDCSw(5)*t4 |
| 236 |
|
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& ) |
| 237 |
|
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& + s3o2*( |
| 238 |
|
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& eosJMDCSw(6) |
| 239 |
|
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& + eosJMDCSw(7)*t |
| 240 |
|
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& + eosJMDCSw(8)*t2 |
| 241 |
|
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& ) |
| 242 |
|
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& + eosJMDCSw(9)*s*s |
| 243 |
|
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| 244 |
|
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rhoP0(i,j) = rfresh + rsalt |
| 245 |
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| 246 |
|
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end do |
| 247 |
|
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end do |
| 248 |
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| 249 |
|
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return |
| 250 |
|
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end |
| 251 |
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|
| 252 |
|
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C !ROUTINE: FIND_BULKMOD |
| 253 |
|
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C !INTERFACE: |
| 254 |
|
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subroutine FIND_BULKMOD( |
| 255 |
|
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I bi, bj, iMin, iMax, jMin, jMax, k, |
| 256 |
|
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I tFld, sFld, |
| 257 |
|
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O bulkMod, |
| 258 |
|
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I myThid ) |
| 259 |
|
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|
| 260 |
|
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C !DESCRIPTION: \bv |
| 261 |
|
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C *==========================================================* |
| 262 |
|
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C | o SUBROUTINE FIND_BULKMOD |
| 263 |
|
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C | Calculates the secant bulk modulus K(S,T,p) of a slice |
| 264 |
|
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C *==========================================================* |
| 265 |
|
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C | |
| 266 |
|
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C | k - is the surface level |
| 267 |
|
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C | |
| 268 |
|
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C *==========================================================* |
| 269 |
|
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C \ev |
| 270 |
|
|
|
| 271 |
|
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C !USES: |
| 272 |
|
|
implicit none |
| 273 |
|
|
C == Global variables == |
| 274 |
|
|
#include "SIZE.h" |
| 275 |
|
|
#include "EEPARAMS.h" |
| 276 |
|
|
#include "PARAMS.h" |
| 277 |
|
|
#include "EOS.h" |
| 278 |
|
|
|
| 279 |
|
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C !INPUT/OUTPUT PARAMETERS: |
| 280 |
|
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C == Routine arguments == |
| 281 |
|
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integer bi,bj,iMin,iMax,jMin,jMax |
| 282 |
|
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integer k ! Level of surface slice |
| 283 |
|
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_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 284 |
|
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_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 285 |
|
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_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 286 |
|
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_RL bMfresh, bMsalt, bMpres |
| 287 |
|
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integer myThid |
| 288 |
|
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|
| 289 |
|
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C !LOCAL VARIABLES: |
| 290 |
|
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C == Local variables == |
| 291 |
|
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integer i,j |
| 292 |
|
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_RL t, t2, t3, t4, s, s3o2, p, p2 |
| 293 |
|
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CEOP |
| 294 |
|
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|
| 295 |
|
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do j=jMin,jMax |
| 296 |
|
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do i=iMin,iMax |
| 297 |
|
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C abbreviations |
| 298 |
|
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t = tFld(i,j,k,bi,bj) |
| 299 |
|
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t2 = t*t |
| 300 |
|
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t3 = t2*t |
| 301 |
|
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t4 = t3*t |
| 302 |
|
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|
| 303 |
|
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if ( sFld(i,j,k,bi,bj) .lt. 0. _d 0 ) then |
| 304 |
|
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C issue a warning |
| 305 |
|
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write(*,'(a,i3,a,i3,a,i3,a,e13.5)') |
| 306 |
|
|
& ' FIND_BULKMOD: WARNING, s(',i,',',j,',',k,') = ', s |
| 307 |
|
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s = 0. _d 0 |
| 308 |
|
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else |
| 309 |
|
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s = sFld(i,j,k,bi,bj) |
| 310 |
|
|
end if |
| 311 |
|
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s3o2 = s*sqrt(s) |
| 312 |
|
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C |
| 313 |
|
|
p = pressure(i,j,k,bi,bj)*SItoBar |
| 314 |
|
|
p2 = p*p |
| 315 |
|
|
C secant bulk modulus of fresh water at the surface |
| 316 |
|
|
bMfresh = |
| 317 |
|
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& eosJMDCKFw(1) |
| 318 |
|
|
& + eosJMDCKFw(2)*t |
| 319 |
|
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& + eosJMDCKFw(3)*t2 |
| 320 |
|
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& + eosJMDCKFw(4)*t3 |
| 321 |
|
|
& + eosJMDCKFw(5)*t4 |
| 322 |
|
|
C secant bulk modulus of sea water at the surface |
| 323 |
|
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bMsalt = |
| 324 |
|
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& s*( eosJMDCKSw(1) |
| 325 |
|
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& + eosJMDCKSw(2)*t |
| 326 |
|
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& + eosJMDCKSw(3)*t2 |
| 327 |
|
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& + eosJMDCKSw(4)*t3 |
| 328 |
|
|
& ) |
| 329 |
|
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& + s3o2*( eosJMDCKSw(5) |
| 330 |
|
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& + eosJMDCKSw(6)*t |
| 331 |
|
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& + eosJMDCKSw(7)*t2 |
| 332 |
|
|
& ) |
| 333 |
|
|
C secant bulk modulus of sea water at pressure p |
| 334 |
|
|
bMpres = |
| 335 |
|
|
& p*( eosJMDCKP(1) |
| 336 |
|
|
& + eosJMDCKP(2)*t |
| 337 |
|
|
& + eosJMDCKP(3)*t2 |
| 338 |
|
|
& + eosJMDCKP(4)*t3 |
| 339 |
|
|
& ) |
| 340 |
|
|
& + p*s*( eosJMDCKP(5) |
| 341 |
|
|
& + eosJMDCKP(6)*t |
| 342 |
|
|
& + eosJMDCKP(7)*t2 |
| 343 |
|
|
& ) |
| 344 |
|
|
& + p*s3o2*eosJMDCKP(8) |
| 345 |
|
|
& + p2*( eosJMDCKP(9) |
| 346 |
|
|
& + eosJMDCKP(10)*t |
| 347 |
|
|
& + eosJMDCKP(11)*t2 |
| 348 |
|
|
& ) |
| 349 |
|
|
& + p2*s*( eosJMDCKP(12) |
| 350 |
|
|
& + eosJMDCKP(13)*t |
| 351 |
|
|
& + eosJMDCKP(14)*t2 |
| 352 |
|
|
& ) |
| 353 |
|
|
|
| 354 |
|
|
bulkMod(i,j) = bMfresh + bMsalt + bMpres |
| 355 |
|
|
|
| 356 |
|
|
end do |
| 357 |
|
|
end do |
| 358 |
|
|
|
| 359 |
|
|
return |
| 360 |
|
|
end |
| 361 |
|
|
|
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