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C $Header: /u/gcmpack/MITgcm/model/src/set_ref_state.F,v 1.9 2016/04/04 21:29:00 jmc 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: SET_REF_STATE |
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C !INTERFACE: |
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SUBROUTINE SET_REF_STATE( |
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I myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE SET_REF_STATE |
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C | o Set reference potential at level center and |
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C | level interface, using tRef,sRef profiles. |
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C | note: use same discretisation as in calc_phi_hyd |
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C | o Set also reference stratification here (for implicit |
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C | Internal Gravity Waves) and units conversion factor |
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C | for vertical velocity (for Non-Hydrostatic in p) |
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C | since both use also the same reference density. |
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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 "GRID.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 myThid |
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|
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C !LOCAL VARIABLES: |
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C == Local variables == |
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C msgBuf :: Informational/error message buffer |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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INTEGER k, ks, stdUnit |
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_RL rHalf(2*Nr+1), pRefLocF(Nr+1) |
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_RL rhoRef(Nr), tLoc(Nr) |
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_RL pLoc, rhoUp, rhoDw, rhoLoc |
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_RL ddPI, conv_theta2T, thetaLoc |
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C-- |
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_RL maxResid |
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INTEGER maxIterNb, belowCritNb |
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CEOP |
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|
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_BEGIN_MASTER( myThid ) |
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|
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C-- Initialise: |
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DO k=1,2*Nr |
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phiRef(k) = 0. |
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ENDDO |
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stdUnit = standardMessageUnit |
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|
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DO k=1,Nr |
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rhoRef(k) = 0. |
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dBdrRef(k) = 0. |
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pRef4EOS(k) = 0. |
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rHalf(2*k-1) = rF(k) |
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rHalf(2*k) = rC(k) |
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ENDDO |
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rHalf(2*Nr+1) = rF(Nr+1) |
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|
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DO k=1,Nr+1 |
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rVel2wUnit(k) = 1. _d 0 |
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wUnit2rVel(k) = 1. _d 0 |
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ENDDO |
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|
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C- Initialise density factor for anelastic formulation: |
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DO k=1,Nr |
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rhoFacC(k) = 1. _d 0 |
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recip_rhoFacC(k) = 1. _d 0 |
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ENDDO |
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DO k=1,Nr+1 |
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rhoFacF(k) = 1. _d 0 |
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recip_rhoFacF(k) = 1. _d 0 |
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ENDDO |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C-- Oceanic: define reference pressure/geo-potential vertical scale: |
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IF ( buoyancyRelation.EQ.'OCEANIC' ) THEN |
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phiRef(1) = top_Pres*recip_rhoConst |
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pRefLocF(1) = top_Pres |
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IF ( gravityFile.EQ.' ' ) THEN |
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DO k=1,Nr |
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phiRef(2*k) = phiRef(1) |
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& + (rC(k) - rF(1))*gravity*gravitySign |
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phiRef(2*k+1) = phiRef(1) |
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& + (rF(k+1)-rF(1))*gravity*gravitySign |
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c pRef4EOS(k) = rhoConst*phiRef(2*k) |
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c pRefLocF(k+1) = rhoConst*phiRef(2*k+1) |
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C note: just to get the same previous machine truncation: |
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pRef4EOS(k) = pRefLocF(1) |
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& + rhoConst*(rC(k) - rF(1))*gravity*gravitySign |
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pRefLocF(k+1) = pRefLocF(1) |
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& + rhoConst*(rF(k+1)-rF(1))*gravity*gravitySign |
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ENDDO |
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ELSEIF ( integr_GeoPot.EQ.1 ) THEN |
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DO k=1,Nr |
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phiRef(2*k) = phiRef(2*k-1) |
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& + halfRL*drF(k)*gravity*gravFacC(k) |
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phiRef(2*k+1) = phiRef(2*k-1) + drF(k)*gravity*gravFacC(k) |
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pRef4EOS(k) = rhoConst*phiRef(2*k) |
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pRefLocF(k+1) = rhoConst*phiRef(2*k+1) |
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ENDDO |
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ELSE |
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phiRef(2) = phiRef(1) + drC(1)*gravity*gravFacF(1) |
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DO k=2,Nr |
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phiRef(2*k-1) = phiRef(2*k-2) |
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& + halfRL*drC(k)*gravity*gravFacF(k) |
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phiRef(2*k) = phiRef(2*k-2) + drC(k)*gravity*gravFacF(k) |
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ENDDO |
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k = Nr |
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phiRef(2*k+1) = phiRef(2*k) + drC(k+1)*gravity*gravFacF(k+1) |
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DO k=1,Nr |
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pRef4EOS(k) = rhoConst*phiRef(2*k) |
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pRefLocF(k+1) = rhoConst*phiRef(2*k+1) |
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ENDDO |
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ENDIF |
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ELSEIF ( buoyancyRelation.EQ.'OCEANICP' ) THEN |
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phiRef(2*Nr+1) = seaLev_Z*gravity |
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DO k=1,Nr |
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phiRef(2*k) = phiRef(2*Nr+1) |
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& - recip_rhoConst*( rC(k) - rF(Nr+1) ) |
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phiRef(2*k-1) = phiRef(2*Nr+1) |
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& - recip_rhoConst*( rF(k) - rF(Nr+1) ) |
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ENDDO |
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c ELSEIF (buoyancyRelation .EQ. 'ATMOSPHERIC') THEN |
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C phiRef is computed later (see below) |
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ENDIF |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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IF ( eosType.EQ.'POLY3' ) THEN |
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IF ( implicitIntGravWave ) THEN |
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WRITE(msgBuf,'(2A)') 'SET_REF_STATE:', |
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& ' need to compute reference density for Impl.IGW' |
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CALL PRINT_ERROR( msgBuf , myThid ) |
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WRITE(msgBuf,'(2A)') 'SET_REF_STATE:', |
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& ' but FIND_RHO_SCALAR(EOS="POLY3") not (yet) implemented' |
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CALL PRINT_ERROR( msgBuf , myThid ) |
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STOP 'ABNORMAL END: S/R SET_REF_STATE' |
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ELSEIF ( nonHydrostatic .AND. |
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& buoyancyRelation.EQ.'OCEANICP' ) THEN |
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WRITE(msgBuf,'(2A)') 'SET_REF_STATE:', |
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& ' need to compute reference density for Non-Hyd' |
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CALL PRINT_ERROR( msgBuf , myThid ) |
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WRITE(msgBuf,'(2A)') 'SET_REF_STATE:', |
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& ' but FIND_RHO_SCALAR(EOS="POLY3") not (yet) implemented' |
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CALL PRINT_ERROR( msgBuf , myThid ) |
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STOP 'ABNORMAL END: S/R SET_REF_STATE' |
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ELSE |
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WRITE(msgBuf,'(2A)') 'SET_REF_STATE:', |
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& ' Unable to compute reference stratification' |
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CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
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& SQUEEZE_RIGHT , myThid ) |
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WRITE(msgBuf,'(2A)') 'SET_REF_STATE:', |
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& ' with EOS="POLY3" ; set dBdrRef(1:Nr) to zeros' |
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CALL PRINT_MESSAGE( msgBuf, errorMessageUnit, |
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& SQUEEZE_RIGHT , myThid) |
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ENDIF |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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ELSEIF ( buoyancyRelation.EQ.'OCEANIC' ) THEN |
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|
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C-- Compute reference density profile |
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DO k=1,Nr |
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pLoc = pRef4EOS(k) |
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CALL FIND_RHO_SCALAR( |
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I tRef(k), sRef(k), pLoc, |
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O rhoRef(k), myThid ) |
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ENDDO |
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|
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IF ( selectP_inEOS_Zc.GE.1 ) THEN |
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C-- Find reference pressure in hydrostatic balance with updated ref density |
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maxResid = rhoConst* 1. _d -14 |
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belowCritNb = 5 |
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maxIterNb = 10*Nr |
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CALL FIND_HYD_PRESS_1D( |
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O pRef4EOS, pRefLocF, |
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U rhoRef, |
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I tRef, sRef, maxResid, |
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I belowCritNb, maxIterNb, myThid ) |
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ENDIF |
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|
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C-- Compute reference stratification: N^2 = -(g/rho_c) * d.rho/dz @ const. p |
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dBdrRef(1) = 0. _d 0 |
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DO k=2,Nr |
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pLoc = pRefLocF(k) |
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CALL FIND_RHO_SCALAR( |
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I tRef(k-1), sRef(k-1), pLoc, |
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O rhoUp, myThid ) |
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CALL FIND_RHO_SCALAR( |
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I tRef(k), sRef(k), pLoc, |
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O rhoDw, myThid ) |
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dBdrRef(k) = (rhoDw - rhoUp)*recip_drC(k) |
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& *recip_rhoConst*gravity*gravFacF(k) |
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IF ( eosType.EQ.'LINEAR' ) THEN |
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C- get more precise values (differences from above are due to machine round-off) |
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dBdrRef(k) = ( sBeta *(sRef(k)-sRef(k-1)) |
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& -tAlpha*(tRef(k)-tRef(k-1)) |
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& )*recip_drC(k) |
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& *rhoNil*recip_rhoConst*gravity*gravFacF(k) |
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ENDIF |
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ENDDO |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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ELSEIF ( buoyancyRelation.EQ.'OCEANICP' ) THEN |
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|
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C-- Compute reference density profile |
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DO k=1,Nr |
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pLoc = rC(k) |
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CALL FIND_RHO_SCALAR( |
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I tRef(k), sRef(k), pLoc, |
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O rhoRef(k), myThid ) |
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ENDDO |
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|
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C-- Compute reference stratification: -d.alpha/dp @ constant p |
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dBdrRef(1) = 0. _d 0 |
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DO k=1,Nr+1 |
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pLoc = rF(k) |
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IF ( k.GE.2 ) CALL FIND_RHO_SCALAR( |
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I tRef(k-1), sRef(k-1), pLoc, |
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O rhoDw, myThid ) |
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IF ( k.LE.Nr ) CALL FIND_RHO_SCALAR( |
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I tRef(k), sRef(k), pLoc, |
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O rhoUp, myThid ) |
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IF ( k.GE.2 .AND. k.LE.Nr ) THEN |
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dBdrRef(k) = (rhoDw - rhoUp)*recip_drC(k) |
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& / (rhoDw*rhoUp) |
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rhoLoc = ( rhoDw + rhoUp )*0.5 _d 0 |
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ELSEIF ( k.EQ.1 ) THEN |
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rhoLoc = rhoUp |
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ELSE |
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rhoLoc = rhoDw |
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ENDIF |
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C-- Units convertion factor for vertical velocity: |
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C wUnit2rVel = gravity*rhoRef : rVel [Pa/s] = wSpeed [m/s] * wUnit2rVel |
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C rVel2wUnit = 1/rVel2wUnit : wSpeed [m/s] = rVel [Pa/s] * rVel2wUnit |
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C note: wUnit2rVel & rVel2wUnit replace horiVertRatio & recip_horiVertRatio |
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wUnit2rVel(k) = gravity*rhoLoc |
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rVel2wUnit(k) = 1. _d 0 / wUnit2rVel(k) |
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ENDDO |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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ELSEIF ( buoyancyRelation.EQ.'ATMOSPHERIC' ) THEN |
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|
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C-- Compute reference stratification: -d.alpha/dp @ constant p |
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dBdrRef(1) = 0. _d 0 |
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DO k=2,Nr |
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conv_theta2T = (rF(k)/atm_Po)**atm_kappa |
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c dBdrRef(k) = (tRef(k) - tRef(k-1))*recip_drC(k) |
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c & * conv_theta2T*atm_Rd/rF(k) |
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ddPI=atm_Cp*( ((rC(k-1)/atm_Po)**atm_kappa) |
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& -((rC( k )/atm_Po)**atm_kappa) ) |
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dBdrRef(k) = (tRef(k) - tRef(k-1))*recip_drC(k) |
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& * ddPI*recip_drC(k) |
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ENDDO |
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|
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C-- Units convertion factor for vertical velocity: |
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C wUnit2rVel = gravity/alpha : rVel [Pa/s] = wSpeed [m/s] * wUnit2rVel |
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C rVel2wUnit = alpha/gravity : wSpeed [m/s] = rVel [Pa/s] * rVel2wUnit |
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C with alpha = 1/rhoRef = (R.T/p) (ideal gas) |
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C note: wUnit2rVel & rVel2wUnit replace horiVertRatio & recip_horiVertRatio |
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DO k=1,Nr+1 |
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IF ( k.EQ.1 ) THEN |
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thetaLoc = tRef(k) |
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ELSEIF ( k.GT.Nr ) THEN |
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thetaLoc = tRef(k-1) |
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ELSE |
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thetaLoc = (tRef(k) + tRef(k-1))*0.5 _d 0 |
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ENDIF |
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IF ( thetaLoc.GT.0. _d 0 .AND. rF(k).GT.0. _d 0 ) THEN |
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conv_theta2T = (rF(k)/atm_Po)**atm_kappa |
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wUnit2rVel(k) = gravity |
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& * rF(k)/(atm_Rd*conv_theta2T*thetaLoc) |
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rVel2wUnit(k) = 1. _d 0 / wUnit2rVel(k) |
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ENDIF |
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ENDDO |
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|
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C- Compute Reference Geopotential at Half levels : |
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C Tracer level k: phiRef(2k) ; Interface_W level k: phiRef(2k-1) |
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|
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phiRef(1) = seaLev_Z*gravity |
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IF ( select_rStar.GE.1 .OR. selectSigmaCoord.GE.1 ) THEN |
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C- isothermal (theta=const) reference state |
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DO k=1,Nr |
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tLoc(k) = thetaConst |
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ENDDO |
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ELSE |
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C- horizontally uniform (tRef) reference state |
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DO k=1,Nr |
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tLoc(k) = tRef(k) |
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ENDDO |
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ENDIF |
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|
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IF (integr_GeoPot.EQ.1) THEN |
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C- Finite Volume Form, linear by half level : |
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DO k=1,2*Nr |
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ks = (k+1)/2 |
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ddPI=atm_Cp*( ((rHalf( k )/atm_Po)**atm_kappa) |
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& -((rHalf(k+1)/atm_Po)**atm_kappa) ) |
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phiRef(k+1) = phiRef(k)+ddPI*tLoc(ks) |
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ENDDO |
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C------ |
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ELSE |
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C- Finite Difference Form, linear between Tracer level : |
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C works with integr_GeoPot = 0, 2 or 3 |
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k = 1 |
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ddPI=atm_Cp*( ((rF(k)/atm_Po)**atm_kappa) |
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& -((rC(k)/atm_Po)**atm_kappa) ) |
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phiRef(2*k) = phiRef(1) + ddPI*tLoc(k) |
| 315 |
DO k=1,Nr-1 |
| 316 |
ddPI=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
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& -((rC(k+1)/atm_Po)**atm_kappa) ) |
| 318 |
phiRef(2*k+1) = phiRef(2*k) + ddPI*0.5*tLoc(k) |
| 319 |
phiRef(2*k+2) = phiRef(2*k) |
| 320 |
& + ddPI*0.5*(tLoc(k)+tLoc(k+1)) |
| 321 |
ENDDO |
| 322 |
k = Nr |
| 323 |
ddPI=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
| 324 |
& -((rF(k+1)/atm_Po)**atm_kappa) ) |
| 325 |
phiRef(2*k+1) = phiRef(2*k) + ddPI*tLoc(k) |
| 326 |
C------ |
| 327 |
ENDIF |
| 328 |
|
| 329 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 330 |
ELSE |
| 331 |
STOP 'SET_REF_STATE: Bad value of buoyancyRelation !' |
| 332 |
C-- endif buoyancyRelation |
| 333 |
ENDIF |
| 334 |
|
| 335 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 336 |
|
| 337 |
IF ( usingZCoords .AND. rhoRefFile .NE. ' ' ) THEN |
| 338 |
C-- anelastic formulation : set density factor from reference density profile |
| 339 |
C surface-interface rho-factor has to be 1: |
| 340 |
rhoFacF(1) = 1. _d 0 |
| 341 |
C rhoFac(k) = density ratio between layer k and top interface |
| 342 |
DO k=1,Nr |
| 343 |
rhoFacC(k) = rho1Ref(k)/rhoConst |
| 344 |
c rhoFacC(k) = rho1Ref(k)*recip_rhoConst |
| 345 |
ENDDO |
| 346 |
DO k=2,Nr |
| 347 |
C since rkSign=-1, recip_drC(k) = 1./(rC(k-1)-rC(k)) |
| 348 |
rhoFacF(k) = ( rhoFacC(k-1)*(rF(k)-rC(k)) |
| 349 |
& + rhoFacC(k)*(rC(k-1)-rF(k)) )*recip_drC(k) |
| 350 |
ENDDO |
| 351 |
C extrapolate down to the bottom: |
| 352 |
rhoFacF(Nr+1) = ( rhoFacC(Nr)*(rF(Nr+1)-rF(Nr)) |
| 353 |
& + rhoFacF(Nr)*(rC(Nr)-rF(Nr+1)) |
| 354 |
& ) / (rC(Nr)-rF(Nr)) |
| 355 |
C- set reciprocal rho-factor: |
| 356 |
DO k=1,Nr |
| 357 |
recip_rhoFacC(k) = 1. _d 0/rhoFacC(k) |
| 358 |
ENDDO |
| 359 |
DO k=1,Nr+1 |
| 360 |
recip_rhoFacF(k) = 1. _d 0/rhoFacF(k) |
| 361 |
ENDDO |
| 362 |
ENDIF |
| 363 |
|
| 364 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 365 |
|
| 366 |
C-- Write to check : |
| 367 |
IF ( gravityFile .NE. ' ' ) THEN |
| 368 |
C- write gravity vertical profile factor to binary file: |
| 369 |
CALL WRITE_GLVEC_RL( 'GravFacC',' ',gravFacC, Nr, -1, myThid ) |
| 370 |
CALL WRITE_GLVEC_RL( 'GravFacF',' ',gravFacF,Nr+1,-1, myThid ) |
| 371 |
ENDIF |
| 372 |
IF ( selectP_inEOS_Zc.GE.1 ) THEN |
| 373 |
C- write (to binary file) Hyd-Pressure used in EOS: |
| 374 |
CALL WRITE_GLVEC_RL( 'PRef4EOS',' ',pRef4EOS, Nr, -1, myThid ) |
| 375 |
c CALL WRITE_GLVEC_RL( 'PRefLocF',' ',pRefLocF,Nr+1,-1, myThid ) |
| 376 |
ENDIF |
| 377 |
IF ( buoyancyRelation.EQ.'ATMOSPHERIC' ) THEN |
| 378 |
WRITE(msgBuf,'(A)') ' ' |
| 379 |
CALL PRINT_MESSAGE( msgBuf, stdUnit, SQUEEZE_RIGHT, myThid ) |
| 380 |
WRITE(msgBuf,'(A)') |
| 381 |
& 'SET_REF_STATE: PhiRef/g [m] at level Center (integer)' |
| 382 |
CALL PRINT_MESSAGE( msgBuf, stdUnit, SQUEEZE_RIGHT, myThid ) |
| 383 |
WRITE(msgBuf,'(A)') |
| 384 |
& ' and at level Interface (half-int.) :' |
| 385 |
CALL PRINT_MESSAGE( msgBuf, stdUnit, SQUEEZE_RIGHT, myThid ) |
| 386 |
DO k=1,2*Nr+1 |
| 387 |
WRITE(msgBuf,'(A,F5.1,A,F15.1,A,F13.3)') |
| 388 |
& ' K=',k*0.5,' ; r=',rHalf(k),' ; phiRef/g=', |
| 389 |
& phiRef(k)*recip_gravity |
| 390 |
CALL PRINT_MESSAGE(msgBuf, stdUnit, SQUEEZE_RIGHT, myThid ) |
| 391 |
ENDDO |
| 392 |
ELSE |
| 393 |
C- Write reference density to binary file : |
| 394 |
CALL WRITE_GLVEC_RL( 'RhoRef', ' ', rhoRef, Nr, -1, myThid ) |
| 395 |
ENDIF |
| 396 |
IF ( usingZCoords .AND. rhoRefFile .NE. ' ' ) THEN |
| 397 |
C- Write Anelastic density factor to binary file : |
| 398 |
CALL WRITE_GLVEC_RL( 'RhoFacC',' ',rhoFacC, Nr , -1, myThid ) |
| 399 |
CALL WRITE_GLVEC_RL( 'RhoFacF',' ',rhoFacF, Nr+1, -1, myThid ) |
| 400 |
ENDIF |
| 401 |
|
| 402 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 403 |
|
| 404 |
_END_MASTER( myThid ) |
| 405 |
_BARRIER |
| 406 |
|
| 407 |
RETURN |
| 408 |
END |
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