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C $Header: /u/gcmpack/MITgcm/model/src/find_rho.F,v 1.19 2002/09/05 20:49:33 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)-Rhonil] 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 |
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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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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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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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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.-Rhonil) |
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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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& - rhonil |
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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) - rhoNil |
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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, |
| 183 |
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_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 |
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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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|
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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 surface slice |
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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 rhoP0(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL rfresh, rsalt |
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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 t, t2, t3, t4, s, s3o2 |
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CEOP |
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|
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do j=jMin,jMax |
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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 |
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t4 = t3*t |
| 227 |
|
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s = sFld(i,j,k,bi,bj) |
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if ( s .lt. 0. _d 0 ) then |
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C issue a warning |
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write(*,'(a,i3,a,i3,a,i3,a,i3,a,i3,a,e13.5)') |
| 232 |
& ' FIND_RHOP0: WARNING, salinity(', |
| 233 |
& i,',',j,',',k,',',bi,',',bj,') = ', s |
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s = 0. _d 0 |
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end if |
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s3o2 = s*sqrt(s) |
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|
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C density of freshwater at the surface |
| 239 |
rfresh = |
| 240 |
& eosJMDCFw(1) |
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& + eosJMDCFw(2)*t |
| 242 |
& + eosJMDCFw(3)*t2 |
| 243 |
& + eosJMDCFw(4)*t3 |
| 244 |
& + eosJMDCFw(5)*t4 |
| 245 |
& + eosJMDCFw(6)*t4*t |
| 246 |
C density of sea water at the surface |
| 247 |
rsalt = |
| 248 |
& s*( |
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& eosJMDCSw(1) |
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& + eosJMDCSw(2)*t |
| 251 |
& + eosJMDCSw(3)*t2 |
| 252 |
& + eosJMDCSw(4)*t3 |
| 253 |
& + eosJMDCSw(5)*t4 |
| 254 |
& ) |
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& + s3o2*( |
| 256 |
& eosJMDCSw(6) |
| 257 |
& + eosJMDCSw(7)*t |
| 258 |
& + eosJMDCSw(8)*t2 |
| 259 |
& ) |
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& + eosJMDCSw(9)*s*s |
| 261 |
|
| 262 |
rhoP0(i,j) = rfresh + rsalt |
| 263 |
|
| 264 |
end do |
| 265 |
end do |
| 266 |
|
| 267 |
return |
| 268 |
end |
| 269 |
|
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C !ROUTINE: FIND_BULKMOD |
| 271 |
C !INTERFACE: |
| 272 |
subroutine FIND_BULKMOD( |
| 273 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 274 |
I tFld, sFld, |
| 275 |
O bulkMod, |
| 276 |
I myThid ) |
| 277 |
|
| 278 |
C !DESCRIPTION: \bv |
| 279 |
C *==========================================================* |
| 280 |
C | o SUBROUTINE FIND_BULKMOD |
| 281 |
C | Calculates the secant bulk modulus K(S,T,p) of a slice |
| 282 |
C *==========================================================* |
| 283 |
C | |
| 284 |
C | k - is the surface level |
| 285 |
C | kRef - is the level to use to determine the pressure |
| 286 |
C | |
| 287 |
C *==========================================================* |
| 288 |
C \ev |
| 289 |
|
| 290 |
C !USES: |
| 291 |
implicit none |
| 292 |
C == Global variables == |
| 293 |
#include "SIZE.h" |
| 294 |
#include "EEPARAMS.h" |
| 295 |
#include "PARAMS.h" |
| 296 |
#include "EOS.h" |
| 297 |
|
| 298 |
C !INPUT/OUTPUT PARAMETERS: |
| 299 |
C == Routine arguments == |
| 300 |
integer bi,bj,iMin,iMax,jMin,jMax |
| 301 |
integer k ! Level of surface slice |
| 302 |
integer kRef ! Reference pressure level |
| 303 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 304 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 305 |
_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 306 |
_RL bMfresh, bMsalt, bMpres |
| 307 |
integer myThid |
| 308 |
|
| 309 |
C !LOCAL VARIABLES: |
| 310 |
C == Local variables == |
| 311 |
integer i,j |
| 312 |
_RL t, t2, t3, t4, s, s3o2, p, p2 |
| 313 |
CEOP |
| 314 |
|
| 315 |
do j=jMin,jMax |
| 316 |
do i=iMin,iMax |
| 317 |
C abbreviations |
| 318 |
t = tFld(i,j,k,bi,bj) |
| 319 |
t2 = t*t |
| 320 |
t3 = t2*t |
| 321 |
t4 = t3*t |
| 322 |
|
| 323 |
s = sFld(i,j,k,bi,bj) |
| 324 |
if ( s .lt. 0. _d 0 ) then |
| 325 |
C issue a warning |
| 326 |
write(*,'(a,i3,a,i3,a,i3,a,i3,a,i3,a,e13.5)') |
| 327 |
& ' FIND_BULKMOD: WARNING, salinity(', |
| 328 |
& i,',',j,',',k,',',bi,',',bj,') = ', s |
| 329 |
s = 0. _d 0 |
| 330 |
end if |
| 331 |
s3o2 = s*sqrt(s) |
| 332 |
C |
| 333 |
p = pressure(i,j,kRef,bi,bj)*SItoBar |
| 334 |
p2 = p*p |
| 335 |
C secant bulk modulus of fresh water at the surface |
| 336 |
bMfresh = |
| 337 |
& eosJMDCKFw(1) |
| 338 |
& + eosJMDCKFw(2)*t |
| 339 |
& + eosJMDCKFw(3)*t2 |
| 340 |
& + eosJMDCKFw(4)*t3 |
| 341 |
& + eosJMDCKFw(5)*t4 |
| 342 |
C secant bulk modulus of sea water at the surface |
| 343 |
bMsalt = |
| 344 |
& s*( eosJMDCKSw(1) |
| 345 |
& + eosJMDCKSw(2)*t |
| 346 |
& + eosJMDCKSw(3)*t2 |
| 347 |
& + eosJMDCKSw(4)*t3 |
| 348 |
& ) |
| 349 |
& + s3o2*( eosJMDCKSw(5) |
| 350 |
& + eosJMDCKSw(6)*t |
| 351 |
& + eosJMDCKSw(7)*t2 |
| 352 |
& ) |
| 353 |
C secant bulk modulus of sea water at pressure p |
| 354 |
bMpres = |
| 355 |
& p*( eosJMDCKP(1) |
| 356 |
& + eosJMDCKP(2)*t |
| 357 |
& + eosJMDCKP(3)*t2 |
| 358 |
& + eosJMDCKP(4)*t3 |
| 359 |
& ) |
| 360 |
& + p*s*( eosJMDCKP(5) |
| 361 |
& + eosJMDCKP(6)*t |
| 362 |
& + eosJMDCKP(7)*t2 |
| 363 |
& ) |
| 364 |
& + p*s3o2*eosJMDCKP(8) |
| 365 |
& + p2*( eosJMDCKP(9) |
| 366 |
& + eosJMDCKP(10)*t |
| 367 |
& + eosJMDCKP(11)*t2 |
| 368 |
& ) |
| 369 |
& + p2*s*( eosJMDCKP(12) |
| 370 |
& + eosJMDCKP(13)*t |
| 371 |
& + eosJMDCKP(14)*t2 |
| 372 |
& ) |
| 373 |
|
| 374 |
bulkMod(i,j) = bMfresh + bMsalt + bMpres |
| 375 |
|
| 376 |
end do |
| 377 |
end do |
| 378 |
|
| 379 |
return |
| 380 |
end |
| 381 |
|
| 382 |
CBOP |
| 383 |
C !ROUTINE: FIND_RHONUM |
| 384 |
C !INTERFACE: |
| 385 |
subroutine FIND_RHONUM( |
| 386 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 387 |
I tFld, sFld, |
| 388 |
O rhoNum, |
| 389 |
I myThid ) |
| 390 |
|
| 391 |
C !DESCRIPTION: \bv |
| 392 |
C *==========================================================* |
| 393 |
C | o SUBROUTINE FIND_RHONUM |
| 394 |
C | Calculates the numerator of the McDougall et al. |
| 395 |
C | equation of state |
| 396 |
C | - the code is more or less a copy of MOM4 |
| 397 |
C *==========================================================* |
| 398 |
C | |
| 399 |
C | k - is the surface level |
| 400 |
C | kRef - is the level to use to determine the pressure |
| 401 |
C | |
| 402 |
C *==========================================================* |
| 403 |
C \ev |
| 404 |
|
| 405 |
C !USES: |
| 406 |
implicit none |
| 407 |
C == Global variables == |
| 408 |
#include "SIZE.h" |
| 409 |
#include "EEPARAMS.h" |
| 410 |
#include "PARAMS.h" |
| 411 |
#include "EOS.h" |
| 412 |
|
| 413 |
C !INPUT/OUTPUT PARAMETERS: |
| 414 |
C == Routine arguments == |
| 415 |
integer bi,bj,iMin,iMax,jMin,jMax |
| 416 |
integer k ! Level of surface slice |
| 417 |
integer kRef ! Reference pressure level |
| 418 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 419 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 420 |
_RL rhoNum(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 421 |
integer myThid |
| 422 |
|
| 423 |
C !LOCAL VARIABLES: |
| 424 |
C == Local variables == |
| 425 |
integer i,j |
| 426 |
_RL t1, t2, s1, p1 |
| 427 |
CEOP |
| 428 |
do j=jMin,jMax |
| 429 |
do i=iMin,iMax |
| 430 |
C abbreviations |
| 431 |
t1 = tFld(i,j,k,bi,bj) |
| 432 |
t2 = t1*t1 |
| 433 |
s1 = sFld(i,j,k,bi,bj) |
| 434 |
|
| 435 |
p1 = pressure(i,j,kRef,bi,bj)*SItodBar |
| 436 |
|
| 437 |
rhoNum(i,j) = eosMDJWFnum(0) |
| 438 |
& + t1*(eosMDJWFnum(1) |
| 439 |
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
| 440 |
& + s1*(eosMDJWFnum(4) |
| 441 |
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
| 442 |
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
| 443 |
& + eosMDJWFnum(9)*s1 |
| 444 |
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
| 445 |
|
| 446 |
end do |
| 447 |
end do |
| 448 |
|
| 449 |
return |
| 450 |
end |
| 451 |
|
| 452 |
CBOP |
| 453 |
C !ROUTINE: FIND_RHODEN |
| 454 |
C !INTERFACE: |
| 455 |
subroutine FIND_RHODEN( |
| 456 |
I bi, bj, iMin, iMax, jMin, jMax, k, kRef, |
| 457 |
I tFld, sFld, |
| 458 |
O rhoDen, |
| 459 |
I myThid ) |
| 460 |
|
| 461 |
C !DESCRIPTION: \bv |
| 462 |
C *==========================================================* |
| 463 |
C | o SUBROUTINE FIND_RHODEN |
| 464 |
C | Calculates the denominator of the McDougall et al. |
| 465 |
C | equation of state |
| 466 |
C | - the code is more or less a copy of MOM4 |
| 467 |
C *==========================================================* |
| 468 |
C | |
| 469 |
C | k - is the surface level |
| 470 |
C | kRef - is the level to use to determine the pressure |
| 471 |
C | |
| 472 |
C *==========================================================* |
| 473 |
C \ev |
| 474 |
|
| 475 |
C !USES: |
| 476 |
implicit none |
| 477 |
C == Global variables == |
| 478 |
#include "SIZE.h" |
| 479 |
#include "EEPARAMS.h" |
| 480 |
#include "PARAMS.h" |
| 481 |
#include "EOS.h" |
| 482 |
|
| 483 |
C !INPUT/OUTPUT PARAMETERS: |
| 484 |
C == Routine arguments == |
| 485 |
integer bi,bj,iMin,iMax,jMin,jMax |
| 486 |
integer k ! Level of surface slice |
| 487 |
integer kRef ! Reference pressure level |
| 488 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 489 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 490 |
_RL rhoDen(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 491 |
integer myThid |
| 492 |
|
| 493 |
C !LOCAL VARIABLES: |
| 494 |
C == Local variables == |
| 495 |
integer i,j |
| 496 |
_RL t1, t2, s1, sp5, p1, p1t1 |
| 497 |
_RL den, epsln |
| 498 |
parameter ( epsln = 0. _d 0 ) |
| 499 |
CEOP |
| 500 |
do j=jMin,jMax |
| 501 |
do i=iMin,iMax |
| 502 |
C abbreviations |
| 503 |
t1 = tFld(i,j,k,bi,bj) |
| 504 |
t2 = t1*t1 |
| 505 |
s1 = sFld(i,j,k,bi,bj) |
| 506 |
if ( s1 .lt. 0. _d 0 ) then |
| 507 |
C issue a warning |
| 508 |
write(*,'(a,i3,a,i3,a,i3,a,i3,a,i3,a,e13.5)') |
| 509 |
& ' FIND_RHODEN: WARNING, salinity(', |
| 510 |
& i,',',j,',',k,',',bi,',',bj,') = ', s1 |
| 511 |
s1 = 0. _d 0 |
| 512 |
end if |
| 513 |
sp5 = sqrt(s1) |
| 514 |
|
| 515 |
p1 = pressure(i,j,kRef,bi,bj)*SItodBar |
| 516 |
p1t1 = p1*t1 |
| 517 |
|
| 518 |
den = eosMDJWFden(0) |
| 519 |
& + t1*(eosMDJWFden(1) |
| 520 |
& + t1*(eosMDJWFden(2) |
| 521 |
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
| 522 |
& + s1*(eosMDJWFden(5) |
| 523 |
& + t1*(eosMDJWFden(6) |
| 524 |
& + eosMDJWFden(7)*t2) |
| 525 |
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
| 526 |
& + p1*(eosMDJWFden(10) |
| 527 |
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
| 528 |
|
| 529 |
rhoDen(i,j) = 1.0/(epsln+den) |
| 530 |
|
| 531 |
end do |
| 532 |
end do |
| 533 |
|
| 534 |
return |
| 535 |
end |
| 536 |
|
| 537 |
subroutine find_rho_scalar( |
| 538 |
I tLoc, sLoc, pLoc, |
| 539 |
O rhoLoc, |
| 540 |
I myThid ) |
| 541 |
|
| 542 |
C !DESCRIPTION: \bv |
| 543 |
C *==========================================================* |
| 544 |
C | o SUBROUTINE FIND_RHO_SCALAR |
| 545 |
C | Calculates [rho(S,T,p)-Rhonil] |
| 546 |
C *==========================================================* |
| 547 |
C \ev |
| 548 |
|
| 549 |
C !USES: |
| 550 |
implicit none |
| 551 |
C == Global variables == |
| 552 |
#include "SIZE.h" |
| 553 |
#include "EEPARAMS.h" |
| 554 |
#include "PARAMS.h" |
| 555 |
#include "EOS.h" |
| 556 |
|
| 557 |
C !INPUT/OUTPUT PARAMETERS: |
| 558 |
C == Routine arguments == |
| 559 |
_RL sLoc, tLoc, pLoc |
| 560 |
_RL rhoLoc |
| 561 |
integer myThid |
| 562 |
|
| 563 |
C !LOCAL VARIABLES: |
| 564 |
C == Local variables == |
| 565 |
|
| 566 |
_RL t1, t2, t3, t4, s1, s3o2, p1, p2, sp5, p1t1 |
| 567 |
_RL rfresh, rsalt, rhoP0 |
| 568 |
_RL bMfresh, bMsalt, bMpres, BulkMod |
| 569 |
_RL rhoNum, rhoDen, den, epsln |
| 570 |
parameter ( epsln = 0. _d 0 ) |
| 571 |
|
| 572 |
character*(max_len_mbuf) msgbuf |
| 573 |
CEOP |
| 574 |
|
| 575 |
rhoLoc = 0. _d 0 |
| 576 |
rhoP0 = 0. _d 0 |
| 577 |
bulkMod = 0. _d 0 |
| 578 |
rfresh = 0. _d 0 |
| 579 |
rsalt = 0. _d 0 |
| 580 |
bMfresh = 0. _d 0 |
| 581 |
bMsalt = 0. _d 0 |
| 582 |
bMpres = 0. _d 0 |
| 583 |
rhoNum = 0. _d 0 |
| 584 |
rhoDen = 0. _d 0 |
| 585 |
den = 0. _d 0 |
| 586 |
|
| 587 |
t1 = tLoc |
| 588 |
t2 = t1*t1 |
| 589 |
t3 = t2*t1 |
| 590 |
t4 = t3*t1 |
| 591 |
|
| 592 |
s1 = sLoc |
| 593 |
if ( s1 .lt. 0. _d 0 ) then |
| 594 |
C issue a warning |
| 595 |
write(*,'(a,i3,a,i3,a,i3,a,e13.5)') |
| 596 |
& ' FIND_RHO_SCALAR: WARNING, salinity = ', s1 |
| 597 |
s1 = 0. _d 0 |
| 598 |
end if |
| 599 |
|
| 600 |
if (equationOfState.eq.'LINEAR') then |
| 601 |
|
| 602 |
rhoLoc = 0. _d 0 |
| 603 |
|
| 604 |
elseif (equationOfState.eq.'POLY3') then |
| 605 |
|
| 606 |
C this is not correct, there is a field eosSig0 which should be use here |
| 607 |
C but I do not intent to include the reference level in this routine |
| 608 |
write(*,'(a)') |
| 609 |
& ' FIND_RHO_SCALAR: for POLY3, the density is not' |
| 610 |
write(*,'(a)') |
| 611 |
& ' computed correctly in this routine' |
| 612 |
rhoLoc = 0. _d 0 |
| 613 |
|
| 614 |
elseif ( equationOfState(1:5).eq.'JMD95' |
| 615 |
& .or. equationOfState.eq.'UNESCO' ) then |
| 616 |
C nonlinear equation of state in pressure coordinates |
| 617 |
|
| 618 |
s3o2 = s1*sqrt(s1) |
| 619 |
|
| 620 |
p1 = pLoc*SItoBar |
| 621 |
p2 = p1*p1 |
| 622 |
|
| 623 |
C density of freshwater at the surface |
| 624 |
rfresh = |
| 625 |
& eosJMDCFw(1) |
| 626 |
& + eosJMDCFw(2)*t1 |
| 627 |
& + eosJMDCFw(3)*t2 |
| 628 |
& + eosJMDCFw(4)*t3 |
| 629 |
& + eosJMDCFw(5)*t4 |
| 630 |
& + eosJMDCFw(6)*t4*t1 |
| 631 |
C density of sea water at the surface |
| 632 |
rsalt = |
| 633 |
& s1*( |
| 634 |
& eosJMDCSw(1) |
| 635 |
& + eosJMDCSw(2)*t1 |
| 636 |
& + eosJMDCSw(3)*t2 |
| 637 |
& + eosJMDCSw(4)*t3 |
| 638 |
& + eosJMDCSw(5)*t4 |
| 639 |
& ) |
| 640 |
& + s3o2*( |
| 641 |
& eosJMDCSw(6) |
| 642 |
& + eosJMDCSw(7)*t1 |
| 643 |
& + eosJMDCSw(8)*t2 |
| 644 |
& ) |
| 645 |
& + eosJMDCSw(9)*s1*s1 |
| 646 |
|
| 647 |
rhoP0 = rfresh + rsalt |
| 648 |
|
| 649 |
C secant bulk modulus of fresh water at the surface |
| 650 |
bMfresh = |
| 651 |
& eosJMDCKFw(1) |
| 652 |
& + eosJMDCKFw(2)*t1 |
| 653 |
& + eosJMDCKFw(3)*t2 |
| 654 |
& + eosJMDCKFw(4)*t3 |
| 655 |
& + eosJMDCKFw(5)*t4 |
| 656 |
C secant bulk modulus of sea water at the surface |
| 657 |
bMsalt = |
| 658 |
& s1*( eosJMDCKSw(1) |
| 659 |
& + eosJMDCKSw(2)*t1 |
| 660 |
& + eosJMDCKSw(3)*t2 |
| 661 |
& + eosJMDCKSw(4)*t3 |
| 662 |
& ) |
| 663 |
& + s3o2*( eosJMDCKSw(5) |
| 664 |
& + eosJMDCKSw(6)*t1 |
| 665 |
& + eosJMDCKSw(7)*t2 |
| 666 |
& ) |
| 667 |
C secant bulk modulus of sea water at pressure p |
| 668 |
bMpres = |
| 669 |
& p1*( eosJMDCKP(1) |
| 670 |
& + eosJMDCKP(2)*t1 |
| 671 |
& + eosJMDCKP(3)*t2 |
| 672 |
& + eosJMDCKP(4)*t3 |
| 673 |
& ) |
| 674 |
& + p1*s1*( eosJMDCKP(5) |
| 675 |
& + eosJMDCKP(6)*t1 |
| 676 |
& + eosJMDCKP(7)*t2 |
| 677 |
& ) |
| 678 |
& + p1*s3o2*eosJMDCKP(8) |
| 679 |
& + p2*( eosJMDCKP(9) |
| 680 |
& + eosJMDCKP(10)*t1 |
| 681 |
& + eosJMDCKP(11)*t2 |
| 682 |
& ) |
| 683 |
& + p2*s1*( eosJMDCKP(12) |
| 684 |
& + eosJMDCKP(13)*t1 |
| 685 |
& + eosJMDCKP(14)*t2 |
| 686 |
& ) |
| 687 |
|
| 688 |
bulkMod = bMfresh + bMsalt + bMpres |
| 689 |
|
| 690 |
C density of sea water at pressure p |
| 691 |
rhoLoc = rhoP0/(1. _d 0 - p1/bulkMod) - rhonil |
| 692 |
|
| 693 |
elseif ( equationOfState.eq.'MDJWF' ) then |
| 694 |
|
| 695 |
sp5 = sqrt(s1) |
| 696 |
|
| 697 |
p1 = pLoc*SItodBar |
| 698 |
p1t1 = p1*t1 |
| 699 |
|
| 700 |
rhoNum = eosMDJWFnum(0) |
| 701 |
& + t1*(eosMDJWFnum(1) |
| 702 |
& + t1*(eosMDJWFnum(2) + eosMDJWFnum(3)*t1) ) |
| 703 |
& + s1*(eosMDJWFnum(4) |
| 704 |
& + eosMDJWFnum(5)*t1 + eosMDJWFnum(6)*s1) |
| 705 |
& + p1*(eosMDJWFnum(7) + eosMDJWFnum(8)*t2 |
| 706 |
& + eosMDJWFnum(9)*s1 |
| 707 |
& + p1*(eosMDJWFnum(10) + eosMDJWFnum(11)*t2) ) |
| 708 |
|
| 709 |
|
| 710 |
den = eosMDJWFden(0) |
| 711 |
& + t1*(eosMDJWFden(1) |
| 712 |
& + t1*(eosMDJWFden(2) |
| 713 |
& + t1*(eosMDJWFden(3) + t1*eosMDJWFden(4) ) ) ) |
| 714 |
& + s1*(eosMDJWFden(5) |
| 715 |
& + t1*(eosMDJWFden(6) |
| 716 |
& + eosMDJWFden(7)*t2) |
| 717 |
& + sp5*(eosMDJWFden(8) + eosMDJWFden(9)*t2) ) |
| 718 |
& + p1*(eosMDJWFden(10) |
| 719 |
& + p1t1*(eosMDJWFden(11)*t2 + eosMDJWFden(12)*p1) ) |
| 720 |
|
| 721 |
rhoDen = 1.0/(epsln+den) |
| 722 |
|
| 723 |
rhoLoc = rhoNum*rhoDen - rhoNil |
| 724 |
|
| 725 |
elseif( equationOfState .eq. 'IDEALG' ) then |
| 726 |
C |
| 727 |
else |
| 728 |
write(msgbuf,'(3a)') |
| 729 |
& ' FIND_RHO_SCALAR : equationOfState = "', |
| 730 |
& equationOfState,'"' |
| 731 |
call print_error( msgbuf, mythid ) |
| 732 |
stop 'ABNORMAL END: S/R FIND_RHO_SCALAR' |
| 733 |
endif |
| 734 |
|
| 735 |
return |
| 736 |
end |
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