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C $Header: /u/gcmpack/MITgcm/model/src/ini_eos.F,v 1.6 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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|
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CBOP |
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C !ROUTINE: INI_EOS |
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C !INTERFACE: |
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subroutine ini_eos( myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE INI_EOS |
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C | o Initialise coefficients of equation of state. |
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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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|
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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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#include "DYNVARS.h" |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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C myThid - Number of this instance of INI_CORI |
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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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C bi,bj - Loop counters |
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C I,J,K |
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INTEGER bi, bj |
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INTEGER I, J, K |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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|
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|
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equationOfState = eosType |
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|
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do k = 1,6 |
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eosJMDCFw(k) = 0. _d 0 |
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end do |
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do k = 1,9 |
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eosJMDCSw(k) = 0. _d 0 |
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end do |
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do k = 1,5 |
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eosJMDCKFw(k) = 0. _d 0 |
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end do |
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do k = 1,7 |
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eosJMDCKSw(k) = 0. _d 0 |
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end do |
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do k = 1,14 |
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eosJMDCKP(k) = 0. _d 0 |
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end do |
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do k = 0,11 |
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eosMDJWFnum(k) = 0. _d 0 |
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end do |
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do k = 0,12 |
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eosMDJWFden(k) = 0. _d 0 |
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end do |
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|
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C initialise pressure to zero (this is not really the right place to |
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C do it, but let's do it anyway; pressure will be initialised to |
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C sensible values in ini_pressure) |
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do bj = myByLo(myThid), myByHi(myThid) |
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do bi = myBxLo(myThid), myBxHi(myThid) |
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do K=1,Nr |
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do J=1-Oly,sNy+Oly |
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do I=1-Olx,sNx+Olx |
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pressure(i,j,k,bi,bj) = 0. _d 0 |
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end do |
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end do |
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end do |
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end do |
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end do |
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C |
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C initialise pressure to something sensible (will be overwritten) |
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C |
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if ( buoyancyRelation .eq. 'OCEANIC' ) then |
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do bj = myByLo(myThid), myByHi(myThid) |
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do bi = myBxLo(myThid), myBxHi(myThid) |
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do K=1,Nr |
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do J=1-Oly,sNy+Oly |
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do I=1-Olx,sNx+Olx |
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pressure(i,j,k,bi,bj) = rhoConst * ( |
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& - gravity*rC(k) |
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& ) |
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end do |
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end do |
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end do |
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end do |
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end do |
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elseif ( buoyancyRelation .eq. 'ATMOSPHERIC' |
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& .or. buoyancyRelation .eq. 'OCEANICP' ) then |
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C |
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C in pressure coordinates the pressure is just the coordinate of |
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C the tracer point, that is, its constant in time |
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C |
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do bj = myByLo(myThid), myByHi(myThid) |
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do bi = myBxLo(myThid), myBxHi(myThid) |
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do K=1,Nr |
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do J=1-Oly,sNy+Oly |
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do I=1-Olx,sNx+Olx |
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pressure(i,j,k,bi,bj) = rC(k) |
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end do |
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end do |
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end do |
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end do |
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end do |
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else |
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STOP 'INI_EOS: We should never reach this point!' |
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endif |
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|
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if ( equationOfState .eq. 'LINEAR' ) then |
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if ( tAlpha .eq. UNSET_RL ) tAlpha = 2.D-4 |
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if ( sBeta .eq. UNSET_RL ) sBeta = 7.4D-4 |
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elseif ( equationOfState .eq. 'POLY3' ) then |
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OPEN(37,FILE='POLY3.COEFFS',STATUS='OLD',FORM='FORMATTED') |
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READ(37,*) I |
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IF (I.NE.Nr) THEN |
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WRITE(msgBuf,'(A)') |
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& 'ini_eos: attempt to read POLY3.COEFFS failed' |
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CALL PRINT_ERROR( msgBuf , 1) |
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WRITE(msgBuf,'(A)') |
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& ' because bad # of levels in data' |
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CALL PRINT_ERROR( msgBuf , 1) |
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STOP 'Bad data in POLY3.COEFFS' |
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ENDIF |
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READ(37,*) (eosRefT(K),eosRefS(K),eosSig0(K),K=1,Nr) |
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DO K=1,Nr |
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READ(37,*) (eosC(I,K),I=1,9) |
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ENDDO |
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CLOSE(37) |
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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 |
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C Jackett & McDougall (1995, JPO) equation of state |
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C rho = R(salinity, potential temperature, pressure) |
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C pressure needs to be available (from the previous |
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C time step to linearize the problem) |
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C |
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if ( equationOfState .eq. 'JMD95Z' |
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& .and. buoyancyRelation .eq. 'OCEANICP' ) then |
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write(msgBuf,'(A)') |
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& 'ini_eos: equation of state ''JMD95Z'' should not' |
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CALL PRINT_ERROR( msgBuf , 1) |
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write(msgBuf,'(A)') |
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& ' be used together with pressure coordinates.' |
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CALL PRINT_ERROR( msgBuf , 1) |
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write(msgBuf,'(A)') |
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& ' Use only ''JMD95P'' with ''OCEANICP''.' |
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CALL PRINT_ERROR( msgBuf , 1) |
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STOP 'ABNORMAL END: S/R INI_EOS' |
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endif |
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|
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C coefficients nonlinear equation of state in pressure coordinates for |
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C 1. density of fresh water at p = 0 |
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eosJMDCFw(1) = 999.842594 |
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eosJMDCFw(2) = 6.793952 _d -02 |
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eosJMDCFw(3) = - 9.095290 _d -03 |
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eosJMDCFw(4) = 1.001685 _d -04 |
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eosJMDCFw(5) = - 1.120083 _d -06 |
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eosJMDCFw(6) = 6.536332 _d -09 |
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C 2. density of sea water at p = 0 |
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eosJMDCSw(1) = 8.24493 _d -01 |
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eosJMDCSw(2) = - 4.0899 _d -03 |
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eosJMDCSw(3) = 7.6438 _d -05 |
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eosJMDCSw(4) = - 8.2467 _d -07 |
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eosJMDCSw(5) = 5.3875 _d -09 |
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eosJMDCSw(6) = - 5.72466 _d -03 |
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eosJMDCSw(7) = 1.0227 _d -04 |
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eosJMDCSw(8) = - 1.6546 _d -06 |
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eosJMDCSw(9) = 4.8314 _d -04 |
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if ( equationOfState(1:5) .eq. 'JMD95' ) then |
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C 3. secant bulk modulus K of fresh water at p = 0 |
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eosJMDCKFw(1) = 1.965933 _d +04 |
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eosJMDCKFw(2) = 1.444304 _d +02 |
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eosJMDCKFw(3) = - 1.706103 _d +00 |
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eosJMDCKFw(4) = 9.648704 _d -03 |
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eosJMDCKFw(5) = - 4.190253 _d -05 |
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C 4. secant bulk modulus K of sea water at p = 0 |
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eosJMDCKSw(1) = 5.284855 _d +01 |
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eosJMDCKSw(2) = - 3.101089 _d -01 |
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eosJMDCKSw(3) = 6.283263 _d -03 |
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eosJMDCKSw(4) = - 5.084188 _d -05 |
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eosJMDCKSw(5) = 3.886640 _d -01 |
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eosJMDCKSw(6) = 9.085835 _d -03 |
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eosJMDCKSw(7) = - 4.619924 _d -04 |
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C 5. secant bulk modulus K of sea water at p |
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eosJMDCKP( 1) = 3.186519 _d +00 |
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eosJMDCKP( 2) = 2.212276 _d -02 |
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eosJMDCKP( 3) = - 2.984642 _d -04 |
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eosJMDCKP( 4) = 1.956415 _d -06 |
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eosJMDCKP( 5) = 6.704388 _d -03 |
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eosJMDCKP( 6) = - 1.847318 _d -04 |
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eosJMDCKP( 7) = 2.059331 _d -07 |
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eosJMDCKP( 8) = 1.480266 _d -04 |
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eosJMDCKP( 9) = 2.102898 _d -04 |
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eosJMDCKP(10) = - 1.202016 _d -05 |
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eosJMDCKP(11) = 1.394680 _d -07 |
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eosJMDCKP(12) = - 2.040237 _d -06 |
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eosJMDCKP(13) = 6.128773 _d -08 |
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eosJMDCKP(14) = 6.207323 _d -10 |
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|
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elseif ( equationOfState .eq. 'UNESCO' ) then |
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|
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write(msgBuf,'(a)') |
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& 'WARNING WARNING WARNING WARNING WARNING WARNING ' |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT , 1) |
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write(msgBuf,'(a,a)') |
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& 'WARNING: using the UNESCO formula with potential ', |
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& 'temperature' |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT , 1) |
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write(msgBuf,'(a)') |
| 222 |
& 'WARNING: can result in density errors of up to 5%' |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT , 1) |
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write(msgBuf,'(a)') |
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& 'WARNING: (see Jackett and McDougall 1995, JAOT)' |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT , 1) |
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write(msgBuf,'(a)') |
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& 'WARNING WARNING WARNING WARNING WARNING WARNING ' |
| 231 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 232 |
& SQUEEZE_RIGHT , 1) |
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|
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C 3. secant bulk modulus K of fresh water at p = 0 |
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eosJMDCKFw(1) = 1.965221 _d +04 |
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eosJMDCKFw(2) = 1.484206 _d +02 |
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eosJMDCKFw(3) = - 2.327105 _d +00 |
| 238 |
eosJMDCKFw(4) = 1.360477 _d -02 |
| 239 |
eosJMDCKFw(5) = - 5.155288 _d -05 |
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C 4. secant bulk modulus K of sea water at p = 0 |
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eosJMDCKSw(1) = 5.46746 _d +01 |
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eosJMDCKSw(2) = - 0.603459 _d +00 |
| 243 |
eosJMDCKSw(3) = 1.09987 _d -02 |
| 244 |
eosJMDCKSw(4) = - 6.1670 _d -05 |
| 245 |
eosJMDCKSw(5) = 7.944 _d -02 |
| 246 |
eosJMDCKSw(6) = 1.6483 _d -02 |
| 247 |
eosJMDCKSw(7) = - 5.3009 _d -04 |
| 248 |
C 5. secant bulk modulus K of sea water at p |
| 249 |
eosJMDCKP( 1) = 3.239908 _d +00 |
| 250 |
eosJMDCKP( 2) = 1.43713 _d -03 |
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eosJMDCKP( 3) = 1.16092 _d -04 |
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eosJMDCKP( 4) = - 5.77905 _d -07 |
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eosJMDCKP( 5) = 2.2838 _d -03 |
| 254 |
eosJMDCKP( 6) = - 1.0981 _d -05 |
| 255 |
eosJMDCKP( 7) = - 1.6078 _d -06 |
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eosJMDCKP( 8) = 1.91075 _d -04 |
| 257 |
eosJMDCKP( 9) = 8.50935 _d -05 |
| 258 |
eosJMDCKP(10) = - 6.12293 _d -06 |
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eosJMDCKP(11) = 5.2787 _d -08 |
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eosJMDCKP(12) = - 9.9348 _d -07 |
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eosJMDCKP(13) = 2.0816 _d -08 |
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eosJMDCKP(14) = 9.1697 _d -10 |
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else |
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STOP 'INI_EOS: We should never reach this point!' |
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endif |
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|
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elseif ( equationOfState .eq. 'MDJWF' ) then |
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|
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eosMDJWFnum( 0) = 9.99843699 _d +02 |
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eosMDJWFnum( 1) = 7.35212840 _d +00 |
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eosMDJWFnum( 2) = -5.45928211 _d -02 |
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eosMDJWFnum( 3) = 3.98476704 _d -04 |
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eosMDJWFnum( 4) = 2.96938239 _d +00 |
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eosMDJWFnum( 5) = -7.23268813 _d -03 |
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eosMDJWFnum( 6) = 2.12382341 _d -03 |
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eosMDJWFnum( 7) = 1.04004591 _d -02 |
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eosMDJWFnum( 8) = 1.03970529 _d -07 |
| 278 |
eosMDJWFnum( 9) = 5.18761880 _d -06 |
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eosMDJWFnum(10) = -3.24041825 _d -08 |
| 280 |
eosMDJWFnum(11) = -1.23869360 _d -11 |
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|
| 282 |
|
| 283 |
eosMDJWFden( 0) = 1.00000000 _d +00 |
| 284 |
eosMDJWFden( 1) = 7.28606739 _d -03 |
| 285 |
eosMDJWFden( 2) = -4.60835542 _d -05 |
| 286 |
eosMDJWFden( 3) = 3.68390573 _d -07 |
| 287 |
eosMDJWFden( 4) = 1.80809186 _d -10 |
| 288 |
eosMDJWFden( 5) = 2.14691708 _d -03 |
| 289 |
eosMDJWFden( 6) = -9.27062484 _d -06 |
| 290 |
eosMDJWFden( 7) = -1.78343643 _d -10 |
| 291 |
eosMDJWFden( 8) = 4.76534122 _d -06 |
| 292 |
eosMDJWFden( 9) = 1.63410736 _d -09 |
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eosMDJWFden(10) = 5.30848875 _d -06 |
| 294 |
eosMDJWFden(11) = -3.03175128 _d -16 |
| 295 |
eosMDJWFden(12) = -1.27934137 _d -17 |
| 296 |
|
| 297 |
elseif( equationOfState .eq. 'IDEALG' ) then |
| 298 |
C |
| 299 |
else |
| 300 |
|
| 301 |
write(msgbuf,'(3a)') ' INI_EOS: equationOfState = "', |
| 302 |
& equationOfState,'"' |
| 303 |
call print_error( msgbuf, mythid ) |
| 304 |
stop 'ABNORMAL END: S/R INI_EOS' |
| 305 |
|
| 306 |
end if |
| 307 |
|
| 308 |
call check_eos( myThid ) |
| 309 |
|
| 310 |
return |
| 311 |
end |
| 312 |
|
| 313 |
CBOP |
| 314 |
C !ROUTINE: CHECK_EOS |
| 315 |
C !INTERFACE: |
| 316 |
subroutine check_eos( myThid ) |
| 317 |
C !DESCRIPTION: \bv |
| 318 |
C *==========================================================* |
| 319 |
C | SUBROUTINE CHECK_EOS |
| 320 |
C | o check the equation of state. |
| 321 |
C *==========================================================* |
| 322 |
C \ev |
| 323 |
|
| 324 |
C !USES: |
| 325 |
|
| 326 |
implicit none |
| 327 |
#include "SIZE.h" |
| 328 |
#include "EEPARAMS.h" |
| 329 |
#include "PARAMS.h" |
| 330 |
#include "EOS.h" |
| 331 |
|
| 332 |
C !INPUT/OUTPUT PARAMETERS: |
| 333 |
C == Routine arguments == |
| 334 |
C myThid - Number of this instance of CHECK_EOS |
| 335 |
INTEGER myThid |
| 336 |
|
| 337 |
C !LOCAL VARIABLES: |
| 338 |
C == Local variables == |
| 339 |
C bi,bj - Loop counters |
| 340 |
C I,J,K |
| 341 |
INTEGER bi, bj |
| 342 |
INTEGER imin, imax, jmin, jmax |
| 343 |
INTEGER I, J, K |
| 344 |
_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 345 |
_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 346 |
_RL rhoLoc (1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 347 |
_RL bulkMod(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 348 |
_RL psave |
| 349 |
|
| 350 |
INTEGER ncheck, kcheck |
| 351 |
PARAMETER ( ncheck = 13 ) |
| 352 |
_RL tloc(ncheck), ptloc(ncheck), sloc(ncheck), ploc(ncheck) |
| 353 |
_RL rloc(ncheck), bloc(ncheck) |
| 354 |
|
| 355 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 356 |
|
| 357 |
DATA tloc |
| 358 |
& /3.25905152915860 _d 0, 20.38687090048638 _d 0, |
| 359 |
& 25.44820830309568 _d 0, 20.17368557065936 _d 0, |
| 360 |
& 13.43397459640398 _d 0, |
| 361 |
& 5. _d 0, 25. _d 0, |
| 362 |
& 5. _d 0, 25. _d 0, |
| 363 |
& 5. _d 0, 25. _d 0, |
| 364 |
& 5. _d 0, 25. _d 0/, |
| 365 |
& ptloc |
| 366 |
& /3. _d 0, 20. _d 0, |
| 367 |
& 25. _d 0, 20. _d 0, |
| 368 |
& 12. _d 0, |
| 369 |
& 5. _d 0, 25. _d 0, |
| 370 |
& 5. _d 0, 25. _d 0, |
| 371 |
& 4.03692566635316 _d 0, 22.84661726775120 _d 0, |
| 372 |
& 3.62720389416752 _d 0, 22.62420229124846 _d 0/ |
| 373 |
& sloc |
| 374 |
& /35.5 _d 0, 35. _d 0, |
| 375 |
& 35.0 _d 0, 20. _d 0, |
| 376 |
& 40.0 _d 0, |
| 377 |
& 0. _d 0, 0. _d 0, |
| 378 |
& 35. _d 0, 35. _d 0, |
| 379 |
& 0. _d 0, 0. _d 0, |
| 380 |
& 35. _d 0, 35. _d 0/ |
| 381 |
& ploc |
| 382 |
& /300. _d 5, 200. _d 5, |
| 383 |
& 200. _d 5, 100. _d 5, |
| 384 |
& 800. _d 5, |
| 385 |
& 0. _d 0, 0. _d 0, |
| 386 |
& 0. _d 0, 0. _d 0, |
| 387 |
& 1000. _d 5, 1000. _d 5, |
| 388 |
& 1000. _d 5, 1000. _d 5/ |
| 389 |
DATA rloc |
| 390 |
& /1041.83267 _d 0, 1033.213387 _d 0, |
| 391 |
& 1031.654229 _d 0, 1017.726743 _d 0, |
| 392 |
& 1062.928258 _d 0, |
| 393 |
& 999.96675 _d 0, 997.04796 _d 0, |
| 394 |
& 1027.67547 _d 0, 1023.34306 _d 0, |
| 395 |
& 1044.12802 _d 0, 1037.90204 _d 0, |
| 396 |
& 1069.48914 _d 0, 1062.53817 _d 0/ |
| 397 |
& bloc |
| 398 |
& / -1.00000 _d 0, -1.00000 _d 0, |
| 399 |
& -1.00000 _d 0, -1.00000 _d 0, |
| 400 |
& -1.00000 _d 0, |
| 401 |
& 20337.80375 _d 0, 22100.72106 _d 0, |
| 402 |
& 22185.93358 _d 0, 23726.34949 _d 0, |
| 403 |
& 23643.52599 _d 0, 25405.09717 _d 0, |
| 404 |
& 25577.49819 _d 0, 27108.94504 _d 0/ |
| 405 |
|
| 406 |
|
| 407 |
bi = 1 |
| 408 |
bj = 1 |
| 409 |
k = 1 |
| 410 |
imin = 1 |
| 411 |
imax = 1 |
| 412 |
jmin = 1 |
| 413 |
jmax = 1 |
| 414 |
i = 1 |
| 415 |
j = 1 |
| 416 |
if ( equationOfState.ne.'LINEAR' |
| 417 |
& .and. equationOfState.ne.'POLY3' ) then |
| 418 |
C check nonlinear EOS |
| 419 |
write(msgBuf,'(a,a)') |
| 420 |
& 'check_eos: Check the equation of state: Type ', |
| 421 |
& equationOfState |
| 422 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 423 |
& SQUEEZE_RIGHT , 1) |
| 424 |
psave = pressure(i,j,k,bi,bj) |
| 425 |
do kcheck = 1,ncheck |
| 426 |
pressure(i,j,k,bi,bj) = ploc(kcheck) |
| 427 |
if ( equationOfState.ne.'UNESCO' ) then |
| 428 |
tFld(i,j,k,bi,bj) = ptloc(kcheck) |
| 429 |
else |
| 430 |
tFld(i,j,k,bi,bj) = tloc(kcheck) |
| 431 |
endif |
| 432 |
sFld(i,j,k,bi,bj) = sloc(kcheck) |
| 433 |
rholoc(i,j) = 0. _d 0 |
| 434 |
bulkMod(i,j) = -1. _d 0 |
| 435 |
|
| 436 |
call find_rho( |
| 437 |
& bi, bj, iMin, iMax, jMin, jMax, k, k, |
| 438 |
& tFld, sFld, rholoc, myThid ) |
| 439 |
|
| 440 |
call find_bulkmod( |
| 441 |
& bi, bj, imin, imax, jmin, jmax, k, k, |
| 442 |
& tFld, sFld, bulkMod, myThid ) |
| 443 |
|
| 444 |
write(msgBuf, |
| 445 |
& '(a4,f4.1,a5,f4.1,a6,f5.0,a5,a3,f10.5,1x,f11.5)') |
| 446 |
& 'rho(', sFld(i,j,k,bi,bj), ' PSU,', |
| 447 |
& tFld(i,j,k,bi,bj), ' degC,', |
| 448 |
& pressure(i,j,k,bi,bj)*SItoBar, ' bar)',' = ', |
| 449 |
& rloc(kcheck), bloc(kcheck) |
| 450 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 451 |
& SQUEEZE_RIGHT , 1) |
| 452 |
write(msgBuf,'(a14,a22,f10.5,1x,f11.5)') |
| 453 |
& 'rho(find_rho) ', |
| 454 |
& ' = ', rholoc(i,j)+rhoConst, bulkMod(i,j) |
| 455 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 456 |
& SQUEEZE_RIGHT , 1) |
| 457 |
|
| 458 |
call find_rho_scalar( tFld(i,j,k,bi,bj), sLoc(kcheck), |
| 459 |
& pLoc(kcheck), rhoLoc(i,j), myThid ) |
| 460 |
bulkMod(i,j) = 0. _d 0 |
| 461 |
write(msgBuf,'(a21,a15,f10.5,1x,f11.5)') |
| 462 |
& 'rho(find_rho_scalar) ', |
| 463 |
& ' = ', rholoc(i,j)+rhoConst, bulkMod(i,j) |
| 464 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 465 |
& SQUEEZE_RIGHT , 1) |
| 466 |
|
| 467 |
enddo |
| 468 |
C end check nonlinear EOS |
| 469 |
pressure(i,j,k,bi,bj) = psave |
| 470 |
|
| 471 |
write(msgBuf,'(A)') 'end check the equation of state' |
| 472 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 473 |
& SQUEEZE_RIGHT , 1) |
| 474 |
|
| 475 |
endif |
| 476 |
|
| 477 |
return |
| 478 |
end |
| 479 |
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