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C $Header: /u/gcmpack/models/MITgcmUV/model/src/find_alpha.F,v 1.6 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_ALPHA |
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C !INTERFACE: |
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SUBROUTINE FIND_ALPHA ( |
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I bi, bj, iMin, iMax, jMin, jMax, k, kRef, eqn, |
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O alphaloc ) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | o SUBROUTINE FIND_ALPHA |
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C | Calculates [drho(S,T,z) / dT] of a horizontal 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: 'LINEAR' or 'POLY3' |
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C | |
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C | alphaloc - drho / dT (kg/m^3/C) |
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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 Common |
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#include "SIZE.h" |
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#include "DYNVARS.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 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 alphaloc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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|
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C !LOCAL VARIABLES: |
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c Local |
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integer i,j |
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_RL refTemp,refSalt,tP,sP |
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_RL t, t2, t3, s, s3o2, p, p2 |
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_RL drhoP0dtheta, drhoP0dthetaFresh, drhoP0dthetaSalt |
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_RL dKdtheta, dKdthetaFresh, dKdthetaSalt, dKdthetaPres |
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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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integer myThid |
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CEOP |
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|
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Cml stop 'myThid is not properly defined in this subroutine' |
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|
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if (eqn.eq.'LINEAR') then |
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|
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do j=jMin,jMax |
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do i=iMin,iMax |
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alphaloc(i,j) = -rhonil * tAlpha |
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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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|
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do j=jMin,jMax |
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do i=iMin,iMax |
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tP=theta(i,j,k,bi,bj)-refTemp |
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sP=salt(i,j,k,bi,bj)-refSalt |
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#ifdef USE_FACTORIZED_POLY |
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alphaloc(i,j) = |
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& ( eosC(6,kRef) |
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& *tP*3. |
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& +(eosC(7,kRef)*sP + eosC(3,kRef))*2. |
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& )*tP |
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& +(eosC(8,kRef)*sP + eosC(4,kRef) )*sP + eosC(1,kRef) |
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& |
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#else |
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alphaloc(i,j) = |
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& eosC(1,kRef) + |
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& eosC(3,kRef)*tP*2. + |
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& eosC(4,kRef) *sP + |
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& eosC(6,kRef)*tP*tP*3. + |
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& eosC(7,kRef)*tP*2. *sP + |
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& eosC(8,kRef) *sP*sP |
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#endif |
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enddo |
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enddo |
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|
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elseif ( eqn(1:5).eq.'JMD95' ) 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 theta, salt, |
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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 theta, salt, |
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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 abbreviations |
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t = theta(i,j,k,bi,bj) |
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t2 = t*t |
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t3 = t2*t |
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|
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if ( salt(i,j,k,bi,bj) .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_BETA: WARNING, s(',i,',',j,',',k,') = ', s |
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s = 0. _d 0 |
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else |
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s = salt(i,j,k,bi,bj) |
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end if |
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s3o2 = sqrt(s*s*s) |
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|
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p = pressure(i,j,kRef,bi,bj)*SItoBar |
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p2 = p*p |
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|
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C d(rho)/d(theta) |
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C of fresh water at p = 0 |
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drhoP0dthetaFresh = |
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& eosJMDCFw(2) |
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& + 2.*eosJMDCFw(3)*t |
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& + 3.*eosJMDCFw(4)*t2 |
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& + 4.*eosJMDCFw(5)*t3 |
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& + 5.*eosJMDCFw(6)*t3*t |
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C of salt water at p = 0 |
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drhoP0dthetaSalt = |
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& s*( |
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& eosJMDCSw(2) |
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& + 2.*eosJMDCSw(3)*t |
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& + 3.*eosJMDCSw(4)*t2 |
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& + 4.*eosJMDCSw(5)*t3 |
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& ) |
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& + s3o2*( |
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& + eosJMDCSw(7) |
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& + 2.*eosJMDCSw(8)*t |
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& ) |
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C d(bulk modulus)/d(theta) |
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C of fresh water at p = 0 |
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dKdthetaFresh = |
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& eosJMDCKFw(2) |
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& + 2.*eosJMDCKFw(3)*t |
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& + 3.*eosJMDCKFw(4)*t2 |
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& + 4.*eosJMDCKFw(5)*t3 |
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C of sea water at p = 0 |
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dKdthetaSalt = |
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& s*( eosJMDCKSw(2) |
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& + 2.*eosJMDCKSw(3)*t |
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& + 3.*eosJMDCKSw(4)*t2 |
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& ) |
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& + s3o2*( eosJMDCKSw(6) |
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& + 2.*eosJMDCKSw(7)*t |
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& ) |
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C of sea water at p |
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dKdthetaPres = |
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& p*( eosJMDCKP(2) |
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& + 2.*eosJMDCKP(3)*t |
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& + 3.*eosJMDCKP(4)*t2 |
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& ) |
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& + p*s*( eosJMDCKP(6) |
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& + 2.*eosJMDCKP(7)*t |
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& ) |
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& + p2*( eosJMDCKP(10) |
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& + 2.*eosJMDCKP(11)*t |
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& ) |
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& + p2*s*( eosJMDCKP(13) |
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& + 2.*eosJMDCKP(14)*t |
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& ) |
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|
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drhoP0dtheta = drhoP0dthetaFresh |
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& + drhoP0dthetaSalt |
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dKdtheta = dKdthetaFresh |
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& + dKdthetaSalt |
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& + dKdthetaPres |
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alphaloc(i,j) = |
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& ( bulkmod(i,j)**2*drhoP0dtheta |
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& - bulkmod(i,j)*p*drhoP0dtheta |
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& - rhoP0(i,j)*p*dKdtheta ) |
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& /( bulkmod(i,j) - p )**2 |
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|
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|
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end do |
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end do |
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else |
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write(*,*) 'FIND_ALPHA: eqn = ',eqn |
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stop 'FIND_ALPHA: argument "eqn" has illegal value' |
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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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subroutine FIND_BETA ( |
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I bi, bj, iMin, iMax, jMin, jMax, k, kRef, eqn, |
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O betaloc ) |
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C /==========================================================\ |
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C | o SUBROUTINE FIND_BETA | |
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C | Calculates [drho(S,T,z) / dS] of a horizontal 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: 'LINEAR' or 'POLY3' | |
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C | | |
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C | betaloc - drho / dS (kg/m^3/PSU) | |
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C | | |
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C \==========================================================/ |
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implicit none |
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|
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c Common |
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#include "SIZE.h" |
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#include "DYNVARS.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 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 betaloc(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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|
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c Local |
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integer i,j |
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_RL refTemp,refSalt,tP,sP |
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_RL t, t2, t3, s, s3o2, p |
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_RL drhoP0dS |
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_RL dKdS, dKdSSalt, dKdSPres |
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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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integer myThid |
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CEOP |
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|
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Cml stop 'myThid is not properly defined in this subroutine' |
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|
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if (eqn.eq.'LINEAR') then |
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|
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do j=jMin,jMax |
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do i=iMin,iMax |
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betaloc(i,j) = rhonil * sBeta |
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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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|
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do j=jMin,jMax |
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do i=iMin,iMax |
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tP=theta(i,j,k,bi,bj)-refTemp |
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sP=salt(i,j,k,bi,bj)-refSalt |
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#ifdef USE_FACTORIZED_POLY |
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betaloc(i,j) = |
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& ( eosC(9,kRef)*sP*3. + eosC(5,kRef)*2. )*sP + eosC(2,kRef) |
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& + ( eosC(7,kRef)*tP |
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& +eosC(8,kRef)*sP*2. + eosC(4,kRef) |
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& )*tP |
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#else |
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betaloc(i,j) = |
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& eosC(2,kRef) + |
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& eosC(4,kRef)*tP + |
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& eosC(5,kRef) *sP*2. + |
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& eosC(7,kRef)*tP*tP + |
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& eosC(8,kRef)*tP *sP*2. + |
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& eosC(9,kRef) *sP*sP*3. |
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#endif |
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enddo |
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enddo |
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|
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elseif ( eqn(1:5).eq.'JMD95' ) 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 theta, salt, |
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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 theta, salt, |
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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 abbreviations |
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t = theta(i,j,k,bi,bj) |
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t2 = t*t |
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t3 = t2*t |
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|
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if ( salt(i,j,k,bi,bj) .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_BETA: WARNING, s(',i,',',j,',',k,') = ', s |
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s = 0. _d 0 |
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else |
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s = salt(i,j,k,bi,bj) |
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end if |
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s3o2 = 1.5*sqrt(s) |
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|
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p = pressure(i,j,kRef,bi,bj)*SItoBar |
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|
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C d(rho)/d(S) |
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C of fresh water at p = 0 |
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drhoP0dS = 0. _d 0 |
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C of salt water at p = 0 |
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drhoP0dS = drhoP0dS |
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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)*t3*t |
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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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& + 2*eosJMDCSw(9)*s |
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C d(bulk modulus)/d(S) |
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C of fresh water at p = 0 |
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dKdS = 0. _d 0 |
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C of sea water at p = 0 |
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dKdSSalt = |
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& 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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& + 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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|
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C of sea water at p |
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dKdSPres = |
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& p*( eosJMDCKP(5) |
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& + eosJMDCKP(6)*t |
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& + eosJMDCKP(7)*t2 |
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& ) |
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& + s3o2*p*eosJMDCKP(8) |
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& + p*p*( eosJMDCKP(12) |
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& + eosJMDCKP(13)*t |
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& + eosJMDCKP(14)*t2 |
| 365 |
& ) |
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|
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dKdS = dKdSSalt + dKdSPres |
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|
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betaloc(i,j) = |
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& ( bulkmod(i,j)**2*drhoP0dS |
| 371 |
& - bulkmod(i,j)*p*drhoP0dS |
| 372 |
& - rhoP0(i,j)*p*dKdS ) |
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& /( bulkmod(i,j) - p )**2 |
| 374 |
|
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|
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end do |
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end do |
| 378 |
else |
| 379 |
write(*,*) 'FIND_BETA: eqn = ',eqn |
| 380 |
stop 'FIND_BETA: argument "eqn" has illegal value' |
| 381 |
endif |
| 382 |
|
| 383 |
return |
| 384 |
end |
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