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C $Header: /u/gcmpack/MITgcm/model/src/find_rho.F,v 1.21 2002/09/25 19:36:50 mlosch Exp $ |
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C $Name: $ |
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|
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#include "CPP_OPTIONS.h" |
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#define USE_FACTORIZED_POLY |
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|
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CBOP |
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C !ROUTINE: FIND_RHO |
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C !INTERFACE: |
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subroutine FIND_RHO( |
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I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
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I tFld, sFld, |
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O rholoc, |
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I myThid ) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | o SUBROUTINE FIND_RHO |
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C | Calculates [rho(S,T,z)-rhoConst] of a slice |
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C *==========================================================* |
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C | |
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C | k - is the Theta/Salt level |
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C | kRef - determines pressure reference level |
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C | (not used in 'LINEAR' mode) |
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C | |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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implicit none |
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C == Global variables == |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "EOS.h" |
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#include "GRID.h" |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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integer bi,bj,iMin,iMax,jMin,jMax |
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integer k ! Level of Theta/Salt slice |
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integer kRef ! Pressure reference level |
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_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL rholoc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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integer myThid |
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|
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C !LOCAL VARIABLES: |
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C == Local variables == |
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integer i,j |
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_RL refTemp,refSalt,sigRef,tP,sP,deltaSig,dRho |
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_RL rhoP0(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL rhoNum(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL rhoDen(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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character*(max_len_mbuf) msgbuf |
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CEOP |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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rholoc(i,j) = 0. _d 0 |
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rhoP0(i,j) = 0. _d 0 |
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bulkMod(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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#endif |
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|
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#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 ) |
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#endif |
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|
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if (equationOfState.eq.'LINEAR') then |
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|
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C ***NOTE*** |
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C In the linear EOS, to make the static stability calculation meaningful |
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C we alway calculate the perturbation with respect to the surface level. |
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C ********** |
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refTemp=tRef(kRef) |
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refSalt=sRef(kRef) |
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|
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dRho = rhoNil-rhoConst |
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|
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do j=jMin,jMax |
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do i=iMin,iMax |
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rholoc(i,j)=rhoNil*( |
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& sBeta*(sFld(i,j,k,bi,bj)-refSalt) |
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& -tAlpha*(tFld(i,j,k,bi,bj)-refTemp) ) |
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& + dRho |
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enddo |
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enddo |
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|
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elseif (equationOfState.eq.'POLY3') then |
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|
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refTemp=eosRefT(kRef) |
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refSalt=eosRefS(kRef) |
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sigRef=eosSig0(kRef) + (1000.-rhoConst) |
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|
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do j=jMin,jMax |
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do i=iMin,iMax |
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tP=tFld(i,j,k,bi,bj)-refTemp |
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sP=sFld(i,j,k,bi,bj)-refSalt |
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#ifdef USE_FACTORIZED_POLY |
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deltaSig= |
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& (( eosC(9,kRef)*sP + eosC(5,kRef) )*sP + eosC(2,kRef) )*sP |
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& + ( ( eosC(6,kRef) |
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& *tP |
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& +eosC(7,kRef)*sP + eosC(3,kRef) |
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& )*tP |
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& +(eosC(8,kRef)*sP + eosC(4,kRef) )*sP + eosC(1,kRef) |
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& )*tP |
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#else |
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deltaSig= |
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& eosC(1,kRef)*tP |
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& +eosC(2,kRef) *sP |
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& +eosC(3,kRef)*tP*tP |
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& +eosC(4,kRef)*tP *sP |
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& +eosC(5,kRef) *sP*sP |
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& +eosC(6,kRef)*tP*tP*tP |
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& +eosC(7,kRef)*tP*tP *sP |
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& +eosC(8,kRef)*tP *sP*sP |
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& +eosC(9,kRef) *sP*sP*sP |
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#endif |
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rholoc(i,j)=sigRef+deltaSig |
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enddo |
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enddo |
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|
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elseif ( equationOfState(1:5).eq.'JMD95' |
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& .or. equationOfState.eq.'UNESCO' ) then |
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C nonlinear equation of state in pressure coordinates |
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|
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CALL FIND_RHOP0( |
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I bi, bj, iMin, iMax, jMin, jMax, k, |
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I tFld, sFld, |
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O rhoP0, |
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I myThid ) |
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|
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CALL FIND_BULKMOD( |
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I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
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I tFld, sFld, |
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O bulkMod, |
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I myThid ) |
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|
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do j=jMin,jMax |
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do i=iMin,iMax |
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|
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C density of sea water at pressure p |
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rholoc(i,j) = rhoP0(i,j) |
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& /(1. _d 0 - |
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& pressure(i,j,kRef,bi,bj)*SItoBar/bulkMod(i,j)) |
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& - rhoConst |
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|
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end do |
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end do |
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|
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elseif ( equationOfState.eq.'MDJWF' ) then |
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|
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CALL FIND_RHONUM( bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
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& tFld, sFld, rhoNum, myThid ) |
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|
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CALL FIND_RHODEN( bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
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& tFld, sFld, rhoDen, myThid ) |
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|
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do j=jMin,jMax |
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do i=iMin,iMax |
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|
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rholoc(i,j) = rhoNum(i,j)*rhoDen(i,j) - rhoConst |
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|
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end do |
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end do |
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elseif( equationOfState .eq. 'IDEALG' ) then |
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C |
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else |
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write(msgbuf,'(3a)') |
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& ' FIND_RHO: equationOfState = "',equationOfState,'"' |
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call print_error( msgbuf, mythid ) |
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stop 'ABNORMAL END: S/R FIND_RHO' |
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endif |
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|
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return |
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end |
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|
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CBOP |
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C !ROUTINE: FIND_RHOP0 |
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C !INTERFACE: |
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subroutine FIND_RHOP0( |
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I bi, bj, iMin, iMax, jMin, jMax, k, |
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I tFld, sFld, |
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O rhoP0, |
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I myThid ) |
192 |
|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | o SUBROUTINE FIND_RHOP0 |
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C | Calculates rho(S,T,0) of a slice |
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C *==========================================================* |
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C | |
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C | k - is the surface level |
200 |
C | |
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C *==========================================================* |
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C \ev |
203 |
|
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C !USES: |
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implicit none |
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C == Global variables == |
207 |
#include "SIZE.h" |
208 |
#include "EEPARAMS.h" |
209 |
#include "PARAMS.h" |
210 |
#include "EOS.h" |
211 |
|
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C !INPUT/OUTPUT PARAMETERS: |
213 |
C == Routine arguments == |
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integer bi,bj,iMin,iMax,jMin,jMax |
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integer k ! Level of surface slice |
216 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
217 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL rhoP0(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
219 |
_RL rfresh, rsalt |
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integer myThid |
221 |
|
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C !LOCAL VARIABLES: |
223 |
C == Local variables == |
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integer i,j |
225 |
_RL t, t2, t3, t4, s, s3o2 |
226 |
CEOP |
227 |
|
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do j=jMin,jMax |
229 |
do i=iMin,iMax |
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C abbreviations |
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t = tFld(i,j,k,bi,bj) |
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t2 = t*t |
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t3 = t2*t |
234 |
t4 = t3*t |
235 |
|
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s = sFld(i,j,k,bi,bj) |
237 |
s3o2 = s*sqrt(s) |
238 |
|
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C density of freshwater at the surface |
240 |
rfresh = |
241 |
& eosJMDCFw(1) |
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& + eosJMDCFw(2)*t |
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& + eosJMDCFw(3)*t2 |
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& + eosJMDCFw(4)*t3 |
245 |
& + eosJMDCFw(5)*t4 |
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& + eosJMDCFw(6)*t4*t |
247 |
C density of sea water at the surface |
248 |
rsalt = |
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& s*( |
250 |
& eosJMDCSw(1) |
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& + eosJMDCSw(2)*t |
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& + eosJMDCSw(3)*t2 |
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& + eosJMDCSw(4)*t3 |
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& + eosJMDCSw(5)*t4 |
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& ) |
256 |
& + s3o2*( |
257 |
& eosJMDCSw(6) |
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& + eosJMDCSw(7)*t |
259 |
& + eosJMDCSw(8)*t2 |
260 |
& ) |
261 |
& + eosJMDCSw(9)*s*s |
262 |
|
263 |
rhoP0(i,j) = rfresh + rsalt |
264 |
|
265 |
end do |
266 |
end do |
267 |
|
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return |
269 |
end |
270 |
|
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C !ROUTINE: FIND_BULKMOD |
272 |
C !INTERFACE: |
273 |
subroutine FIND_BULKMOD( |
274 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
275 |
I tFld, sFld, |
276 |
O bulkMod, |
277 |
I myThid ) |
278 |
|
279 |
C !DESCRIPTION: \bv |
280 |
C *==========================================================* |
281 |
C | o SUBROUTINE FIND_BULKMOD |
282 |
C | Calculates the secant bulk modulus K(S,T,p) of a slice |
283 |
C *==========================================================* |
284 |
C | |
285 |
C | k - is the surface level |
286 |
C | kRef - is the level to use to determine the pressure |
287 |
C | |
288 |
C *==========================================================* |
289 |
C \ev |
290 |
|
291 |
C !USES: |
292 |
implicit none |
293 |
C == Global variables == |
294 |
#include "SIZE.h" |
295 |
#include "EEPARAMS.h" |
296 |
#include "PARAMS.h" |
297 |
#include "EOS.h" |
298 |
|
299 |
C !INPUT/OUTPUT PARAMETERS: |
300 |
C == Routine arguments == |
301 |
integer bi,bj,iMin,iMax,jMin,jMax |
302 |
integer k ! Level of surface slice |
303 |
integer kRef ! Reference pressure level |
304 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
305 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
306 |
_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
307 |
_RL bMfresh, bMsalt, bMpres |
308 |
integer myThid |
309 |
|
310 |
C !LOCAL VARIABLES: |
311 |
C == Local variables == |
312 |
integer i,j |
313 |
_RL t, t2, t3, t4, s, s3o2, p, p2 |
314 |
CEOP |
315 |
|
316 |
do j=jMin,jMax |
317 |
do i=iMin,iMax |
318 |
C abbreviations |
319 |
t = tFld(i,j,k,bi,bj) |
320 |
t2 = t*t |
321 |
t3 = t2*t |
322 |
t4 = t3*t |
323 |
|
324 |
s = sFld(i,j,k,bi,bj) |
325 |
s3o2 = s*sqrt(s) |
326 |
C |
327 |
p = pressure(i,j,kRef,bi,bj)*SItoBar |
328 |
p2 = p*p |
329 |
C secant bulk modulus of fresh water at the surface |
330 |
bMfresh = |
331 |
& eosJMDCKFw(1) |
332 |
& + eosJMDCKFw(2)*t |
333 |
& + eosJMDCKFw(3)*t2 |
334 |
& + eosJMDCKFw(4)*t3 |
335 |
& + eosJMDCKFw(5)*t4 |
336 |
C secant bulk modulus of sea water at the surface |
337 |
bMsalt = |
338 |
& s*( eosJMDCKSw(1) |
339 |
& + eosJMDCKSw(2)*t |
340 |
& + eosJMDCKSw(3)*t2 |
341 |
& + eosJMDCKSw(4)*t3 |
342 |
& ) |
343 |
& + s3o2*( eosJMDCKSw(5) |
344 |
& + eosJMDCKSw(6)*t |
345 |
& + eosJMDCKSw(7)*t2 |
346 |
& ) |
347 |
C secant bulk modulus of sea water at pressure p |
348 |
bMpres = |
349 |
& p*( eosJMDCKP(1) |
350 |
& + eosJMDCKP(2)*t |
351 |
& + eosJMDCKP(3)*t2 |
352 |
& + eosJMDCKP(4)*t3 |
353 |
& ) |
354 |
& + p*s*( eosJMDCKP(5) |
355 |
& + eosJMDCKP(6)*t |
356 |
& + eosJMDCKP(7)*t2 |
357 |
& ) |
358 |
& + p*s3o2*eosJMDCKP(8) |
359 |
& + p2*( eosJMDCKP(9) |
360 |
& + eosJMDCKP(10)*t |
361 |
& + eosJMDCKP(11)*t2 |
362 |
& ) |
363 |
& + p2*s*( eosJMDCKP(12) |
364 |
& + eosJMDCKP(13)*t |
365 |
& + eosJMDCKP(14)*t2 |
366 |
& ) |
367 |
|
368 |
bulkMod(i,j) = bMfresh + bMsalt + bMpres |
369 |
|
370 |
end do |
371 |
end do |
372 |
|
373 |
return |
374 |
end |
375 |
|
376 |
CBOP |
377 |
C !ROUTINE: FIND_RHONUM |
378 |
C !INTERFACE: |
379 |
subroutine FIND_RHONUM( |
380 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
381 |
I tFld, sFld, |
382 |
O rhoNum, |
383 |
I myThid ) |
384 |
|
385 |
C !DESCRIPTION: \bv |
386 |
C *==========================================================* |
387 |
C | o SUBROUTINE FIND_RHONUM |
388 |
C | Calculates the numerator of the McDougall et al. |
389 |
C | equation of state |
390 |
C | - the code is more or less a copy of MOM4 |
391 |
C *==========================================================* |
392 |
C | |
393 |
C | k - is the surface level |
394 |
C | kRef - is the level to use to determine the pressure |
395 |
C | |
396 |
C *==========================================================* |
397 |
C \ev |
398 |
|
399 |
C !USES: |
400 |
implicit none |
401 |
C == Global variables == |
402 |
#include "SIZE.h" |
403 |
#include "EEPARAMS.h" |
404 |
#include "PARAMS.h" |
405 |
#include "EOS.h" |
406 |
|
407 |
C !INPUT/OUTPUT PARAMETERS: |
408 |
C == Routine arguments == |
409 |
integer bi,bj,iMin,iMax,jMin,jMax |
410 |
integer k ! Level of surface slice |
411 |
integer kRef ! Reference pressure level |
412 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
413 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
414 |
_RL rhoNum(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
415 |
integer myThid |
416 |
|
417 |
C !LOCAL VARIABLES: |
418 |
C == Local variables == |
419 |
integer i,j |
420 |
_RL t1, t2, s1, p1 |
421 |
CEOP |
422 |
do j=jMin,jMax |
423 |
do i=iMin,iMax |
424 |
C abbreviations |
425 |
t1 = tFld(i,j,k,bi,bj) |
426 |
t2 = t1*t1 |
427 |
s1 = sFld(i,j,k,bi,bj) |
428 |
|
429 |
p1 = pressure(i,j,kRef,bi,bj)*SItodBar |
430 |
|
431 |
rhoNum(i,j) = eosMDJWFnum(0) |
432 |
& + t1*(eosMDJWFnum(1) |
433 |
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
434 |
& + s1*(eosMDJWFnum(4) |
435 |
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
436 |
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
437 |
& + eosMDJWFnum(9)*s1 |
438 |
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
439 |
|
440 |
end do |
441 |
end do |
442 |
|
443 |
return |
444 |
end |
445 |
|
446 |
CBOP |
447 |
C !ROUTINE: FIND_RHODEN |
448 |
C !INTERFACE: |
449 |
subroutine FIND_RHODEN( |
450 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
451 |
I tFld, sFld, |
452 |
O rhoDen, |
453 |
I myThid ) |
454 |
|
455 |
C !DESCRIPTION: \bv |
456 |
C *==========================================================* |
457 |
C | o SUBROUTINE FIND_RHODEN |
458 |
C | Calculates the denominator of the McDougall et al. |
459 |
C | equation of state |
460 |
C | - the code is more or less a copy of MOM4 |
461 |
C *==========================================================* |
462 |
C | |
463 |
C | k - is the surface level |
464 |
C | kRef - is the level to use to determine the pressure |
465 |
C | |
466 |
C *==========================================================* |
467 |
C \ev |
468 |
|
469 |
C !USES: |
470 |
implicit none |
471 |
C == Global variables == |
472 |
#include "SIZE.h" |
473 |
#include "EEPARAMS.h" |
474 |
#include "PARAMS.h" |
475 |
#include "EOS.h" |
476 |
|
477 |
C !INPUT/OUTPUT PARAMETERS: |
478 |
C == Routine arguments == |
479 |
integer bi,bj,iMin,iMax,jMin,jMax |
480 |
integer k ! Level of surface slice |
481 |
integer kRef ! Reference pressure level |
482 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
483 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
484 |
_RL rhoDen(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
485 |
integer myThid |
486 |
|
487 |
C !LOCAL VARIABLES: |
488 |
C == Local variables == |
489 |
integer i,j |
490 |
_RL t1, t2, s1, sp5, p1, p1t1 |
491 |
_RL den, epsln |
492 |
parameter ( epsln = 0. _d 0 ) |
493 |
CEOP |
494 |
do j=jMin,jMax |
495 |
do i=iMin,iMax |
496 |
C abbreviations |
497 |
t1 = tFld(i,j,k,bi,bj) |
498 |
t2 = t1*t1 |
499 |
s1 = sFld(i,j,k,bi,bj) |
500 |
sp5 = sqrt(s1) |
501 |
|
502 |
p1 = pressure(i,j,kRef,bi,bj)*SItodBar |
503 |
p1t1 = p1*t1 |
504 |
|
505 |
den = eosMDJWFden(0) |
506 |
& + t1*(eosMDJWFden(1) |
507 |
& + t1*(eosMDJWFden(2) |
508 |
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
509 |
& + s1*(eosMDJWFden(5) |
510 |
& + t1*(eosMDJWFden(6) |
511 |
& + eosMDJWFden(7)*t2) |
512 |
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
513 |
& + p1*(eosMDJWFden(10) |
514 |
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
515 |
|
516 |
rhoDen(i,j) = 1.0/(epsln+den) |
517 |
|
518 |
end do |
519 |
end do |
520 |
|
521 |
return |
522 |
end |
523 |
|
524 |
subroutine find_rho_scalar( |
525 |
I tLoc, sLoc, pLoc, |
526 |
O rhoLoc, |
527 |
I myThid ) |
528 |
|
529 |
C !DESCRIPTION: \bv |
530 |
C *==========================================================* |
531 |
C | o SUBROUTINE FIND_RHO_SCALAR |
532 |
C | Calculates [rho(S,T,p)-rhoConst] |
533 |
C *==========================================================* |
534 |
C \ev |
535 |
|
536 |
C !USES: |
537 |
implicit none |
538 |
C == Global variables == |
539 |
#include "SIZE.h" |
540 |
#include "EEPARAMS.h" |
541 |
#include "PARAMS.h" |
542 |
#include "EOS.h" |
543 |
|
544 |
C !INPUT/OUTPUT PARAMETERS: |
545 |
C == Routine arguments == |
546 |
_RL sLoc, tLoc, pLoc |
547 |
_RL rhoLoc |
548 |
integer myThid |
549 |
|
550 |
C !LOCAL VARIABLES: |
551 |
C == Local variables == |
552 |
|
553 |
_RL t1, t2, t3, t4, s1, s3o2, p1, p2, sp5, p1t1 |
554 |
_RL rfresh, rsalt, rhoP0 |
555 |
_RL bMfresh, bMsalt, bMpres, BulkMod |
556 |
_RL rhoNum, rhoDen, den, epsln |
557 |
parameter ( epsln = 0. _d 0 ) |
558 |
|
559 |
character*(max_len_mbuf) msgbuf |
560 |
CEOP |
561 |
|
562 |
rhoLoc = 0. _d 0 |
563 |
rhoP0 = 0. _d 0 |
564 |
bulkMod = 0. _d 0 |
565 |
rfresh = 0. _d 0 |
566 |
rsalt = 0. _d 0 |
567 |
bMfresh = 0. _d 0 |
568 |
bMsalt = 0. _d 0 |
569 |
bMpres = 0. _d 0 |
570 |
rhoNum = 0. _d 0 |
571 |
rhoDen = 0. _d 0 |
572 |
den = 0. _d 0 |
573 |
|
574 |
t1 = tLoc |
575 |
t2 = t1*t1 |
576 |
t3 = t2*t1 |
577 |
t4 = t3*t1 |
578 |
|
579 |
s1 = sLoc |
580 |
if ( s1 .lt. 0. _d 0 ) then |
581 |
C issue a warning |
582 |
write(*,'(a,i3,a,i3,a,i3,a,e13.5)') |
583 |
& ' FIND_RHO_SCALAR: WARNING, salinity = ', s1 |
584 |
s1 = 0. _d 0 |
585 |
end if |
586 |
|
587 |
if (equationOfState.eq.'LINEAR') then |
588 |
|
589 |
rhoLoc = 0. _d 0 |
590 |
|
591 |
elseif (equationOfState.eq.'POLY3') then |
592 |
|
593 |
C this is not correct, there is a field eosSig0 which should be use here |
594 |
C but I do not intent to include the reference level in this routine |
595 |
write(*,'(a)') |
596 |
& ' FIND_RHO_SCALAR: for POLY3, the density is not' |
597 |
write(*,'(a)') |
598 |
& ' computed correctly in this routine' |
599 |
rhoLoc = 0. _d 0 |
600 |
|
601 |
elseif ( equationOfState(1:5).eq.'JMD95' |
602 |
& .or. equationOfState.eq.'UNESCO' ) then |
603 |
C nonlinear equation of state in pressure coordinates |
604 |
|
605 |
s3o2 = s1*sqrt(s1) |
606 |
|
607 |
p1 = pLoc*SItoBar |
608 |
p2 = p1*p1 |
609 |
|
610 |
C density of freshwater at the surface |
611 |
rfresh = |
612 |
& eosJMDCFw(1) |
613 |
& + eosJMDCFw(2)*t1 |
614 |
& + eosJMDCFw(3)*t2 |
615 |
& + eosJMDCFw(4)*t3 |
616 |
& + eosJMDCFw(5)*t4 |
617 |
& + eosJMDCFw(6)*t4*t1 |
618 |
C density of sea water at the surface |
619 |
rsalt = |
620 |
& s1*( |
621 |
& eosJMDCSw(1) |
622 |
& + eosJMDCSw(2)*t1 |
623 |
& + eosJMDCSw(3)*t2 |
624 |
& + eosJMDCSw(4)*t3 |
625 |
& + eosJMDCSw(5)*t4 |
626 |
& ) |
627 |
& + s3o2*( |
628 |
& eosJMDCSw(6) |
629 |
& + eosJMDCSw(7)*t1 |
630 |
& + eosJMDCSw(8)*t2 |
631 |
& ) |
632 |
& + eosJMDCSw(9)*s1*s1 |
633 |
|
634 |
rhoP0 = rfresh + rsalt |
635 |
|
636 |
C secant bulk modulus of fresh water at the surface |
637 |
bMfresh = |
638 |
& eosJMDCKFw(1) |
639 |
& + eosJMDCKFw(2)*t1 |
640 |
& + eosJMDCKFw(3)*t2 |
641 |
& + eosJMDCKFw(4)*t3 |
642 |
& + eosJMDCKFw(5)*t4 |
643 |
C secant bulk modulus of sea water at the surface |
644 |
bMsalt = |
645 |
& s1*( eosJMDCKSw(1) |
646 |
& + eosJMDCKSw(2)*t1 |
647 |
& + eosJMDCKSw(3)*t2 |
648 |
& + eosJMDCKSw(4)*t3 |
649 |
& ) |
650 |
& + s3o2*( eosJMDCKSw(5) |
651 |
& + eosJMDCKSw(6)*t1 |
652 |
& + eosJMDCKSw(7)*t2 |
653 |
& ) |
654 |
C secant bulk modulus of sea water at pressure p |
655 |
bMpres = |
656 |
& p1*( eosJMDCKP(1) |
657 |
& + eosJMDCKP(2)*t1 |
658 |
& + eosJMDCKP(3)*t2 |
659 |
& + eosJMDCKP(4)*t3 |
660 |
& ) |
661 |
& + p1*s1*( eosJMDCKP(5) |
662 |
& + eosJMDCKP(6)*t1 |
663 |
& + eosJMDCKP(7)*t2 |
664 |
& ) |
665 |
& + p1*s3o2*eosJMDCKP(8) |
666 |
& + p2*( eosJMDCKP(9) |
667 |
& + eosJMDCKP(10)*t1 |
668 |
& + eosJMDCKP(11)*t2 |
669 |
& ) |
670 |
& + p2*s1*( eosJMDCKP(12) |
671 |
& + eosJMDCKP(13)*t1 |
672 |
& + eosJMDCKP(14)*t2 |
673 |
& ) |
674 |
|
675 |
bulkMod = bMfresh + bMsalt + bMpres |
676 |
|
677 |
C density of sea water at pressure p |
678 |
rhoLoc = rhoP0/(1. _d 0 - p1/bulkMod) - rhoConst |
679 |
|
680 |
elseif ( equationOfState.eq.'MDJWF' ) then |
681 |
|
682 |
sp5 = sqrt(s1) |
683 |
|
684 |
p1 = pLoc*SItodBar |
685 |
p1t1 = p1*t1 |
686 |
|
687 |
rhoNum = eosMDJWFnum(0) |
688 |
& + t1*(eosMDJWFnum(1) |
689 |
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
690 |
& + s1*(eosMDJWFnum(4) |
691 |
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
692 |
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
693 |
& + eosMDJWFnum(9)*s1 |
694 |
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
695 |
|
696 |
|
697 |
den = eosMDJWFden(0) |
698 |
& + t1*(eosMDJWFden(1) |
699 |
& + t1*(eosMDJWFden(2) |
700 |
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
701 |
& + s1*(eosMDJWFden(5) |
702 |
& + t1*(eosMDJWFden(6) |
703 |
& + eosMDJWFden(7)*t2) |
704 |
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
705 |
& + p1*(eosMDJWFden(10) |
706 |
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
707 |
|
708 |
rhoDen = 1.0/(epsln+den) |
709 |
|
710 |
rhoLoc = rhoNum*rhoDen - rhoConst |
711 |
|
712 |
elseif( equationOfState .eq. 'IDEALG' ) then |
713 |
C |
714 |
else |
715 |
write(msgbuf,'(3a)') |
716 |
& ' FIND_RHO_SCALAR : equationOfState = "', |
717 |
& equationOfState,'"' |
718 |
call print_error( msgbuf, mythid ) |
719 |
stop 'ABNORMAL END: S/R FIND_RHO_SCALAR' |
720 |
endif |
721 |
|
722 |
return |
723 |
end |
724 |
|
725 |
CBOP |
726 |
C !ROUTINE: LOOK_FOR_NEG_SALINITY |
727 |
C !INTERFACE: |
728 |
subroutine LOOK_FOR_NEG_SALINITY( |
729 |
I bi, bj, iMin, iMax, jMin, jMax, k, |
730 |
I sFld, |
731 |
I myThid ) |
732 |
|
733 |
C !DESCRIPTION: \bv |
734 |
C *==========================================================* |
735 |
C | o SUBROUTINE LOOK_FOR_NEG_SALINITY |
736 |
C | looks for and fixes negative salinity values |
737 |
C | this is necessary if the equation of state uses |
738 |
C | the square root of salinity |
739 |
C *==========================================================* |
740 |
C | |
741 |
C | k - is the Salt level |
742 |
C | |
743 |
C *==========================================================* |
744 |
C \ev |
745 |
|
746 |
C !USES: |
747 |
implicit none |
748 |
C == Global variables == |
749 |
#include "SIZE.h" |
750 |
#include "EEPARAMS.h" |
751 |
#include "PARAMS.h" |
752 |
#include "GRID.h" |
753 |
|
754 |
C !INPUT/OUTPUT PARAMETERS: |
755 |
C == Routine arguments == |
756 |
integer bi,bj,iMin,iMax,jMin,jMax |
757 |
integer k ! Level of Salt slice |
758 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
759 |
integer myThid |
760 |
|
761 |
C !LOCAL VARIABLES: |
762 |
C == Local variables == |
763 |
integer i,j, localWarning |
764 |
character*(max_len_mbuf) msgbuf |
765 |
CEOP |
766 |
|
767 |
localWarning = 0 |
768 |
do j=jMin,jMax |
769 |
do i=iMin,iMax |
770 |
C abbreviations |
771 |
if ( sFld(i,j,k,bi,bj) .lt. 0. _d 0 ) then |
772 |
localWarning = localWarning + 1 |
773 |
sFld(i,j,k,bi,bj) = 0. _d 0 |
774 |
end if |
775 |
end do |
776 |
end do |
777 |
C issue a warning |
778 |
if ( localWarning .gt. 0 ) then |
779 |
write(*,'(a,a)') |
780 |
& 'S/R LOOK_FOR_NEG_SALINITY: found negative salinity', |
781 |
& 'values and reset them to zero.' |
782 |
write(*,'(a,I3)') |
783 |
& 'S/R LOOK_FOR_NEG_SALINITY: current level is k = ', k |
784 |
end if |
785 |
|
786 |
return |
787 |
end |