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C $Header: /u/gcmpack/MITgcm/model/src/find_rho.F,v 1.16 2002/08/07 16:55:52 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, eqn, |
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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 | eqn - determines the eqn. of state: |
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C | 'LINEAR', 'POLY3', 'UNESCO', 'JMD95Z', 'JMD95P' |
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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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character*(*) eqn |
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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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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 (eqn.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 (eqn.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 ( eqn(1:5).eq.'JMD95' .or. eqn.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, |
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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,k,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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else |
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write(msgbuf,'(3a)') ' FIND_RHO: eqn = "',eqn,'"' |
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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 ) |
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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 |
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|
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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,e13.5)') |
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& ' FIND_RHOP0: WARNING, s(',i,',',j,',',k,') = ', 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 |
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rfresh = |
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& eosJMDCFw(1) |
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& + eosJMDCFw(2)*t |
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& + eosJMDCFw(3)*t2 |
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& + eosJMDCFw(4)*t3 |
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& + eosJMDCFw(5)*t4 |
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& + eosJMDCFw(6)*t4*t |
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C density of sea water at the surface |
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rsalt = |
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& s*( |
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& 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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& ) |
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& + s3o2*( |
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& eosJMDCSw(6) |
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& + eosJMDCSw(7)*t |
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& + eosJMDCSw(8)*t2 |
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& ) |
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& + eosJMDCSw(9)*s*s |
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|
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rhoP0(i,j) = rfresh + rsalt |
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|
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end do |
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end do |
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|
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return |
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end |
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|
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C !ROUTINE: FIND_BULKMOD |
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C !INTERFACE: |
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subroutine FIND_BULKMOD( |
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I bi, bj, iMin, iMax, jMin, jMax, k, |
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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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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | o SUBROUTINE FIND_BULKMOD |
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C | Calculates the secant bulk modulus K(S,T,p) 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 bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL bMfresh, bMsalt, bMpres |
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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, p, p2 |
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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 |
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|
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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,e13.5)') |
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& ' FIND_BULKMOD: WARNING, s(',i,',',j,',',k,') = ', 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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C |
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p = pressure(i,j,k,bi,bj)*SItoBar |
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p2 = p*p |
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C secant bulk modulus of fresh water at the surface |
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bMfresh = |
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& eosJMDCKFw(1) |
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& + eosJMDCKFw(2)*t |
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& + eosJMDCKFw(3)*t2 |
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& + eosJMDCKFw(4)*t3 |
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& + eosJMDCKFw(5)*t4 |
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C secant bulk modulus of sea water at the surface |
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bMsalt = |
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& s*( eosJMDCKSw(1) |
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& + eosJMDCKSw(2)*t |
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& + eosJMDCKSw(3)*t2 |
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& + eosJMDCKSw(4)*t3 |
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& ) |
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& + s3o2*( eosJMDCKSw(5) |
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& + eosJMDCKSw(6)*t |
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& + eosJMDCKSw(7)*t2 |
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& ) |
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C secant bulk modulus of sea water at pressure p |
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bMpres = |
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& p*( eosJMDCKP(1) |
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& + eosJMDCKP(2)*t |
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& + eosJMDCKP(3)*t2 |
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& + eosJMDCKP(4)*t3 |
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& ) |
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& + p*s*( eosJMDCKP(5) |
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& + eosJMDCKP(6)*t |
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& + eosJMDCKP(7)*t2 |
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& ) |
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& + p*s3o2*eosJMDCKP(8) |
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& + p2*( eosJMDCKP(9) |
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& + eosJMDCKP(10)*t |
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& + eosJMDCKP(11)*t2 |
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& ) |
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& + p2*s*( eosJMDCKP(12) |
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& + eosJMDCKP(13)*t |
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& + eosJMDCKP(14)*t2 |
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& ) |
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|
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bulkMod(i,j) = bMfresh + bMsalt + bMpres |
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|
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end do |
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end do |
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|
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return |
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end |
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