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C $Header: /u/gcmpack/MITgcm/model/src/set_ref_state.F,v 1.5 2013/07/28 16:01:51 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) |
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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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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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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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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 and reference stratification |
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DO k=1,Nr |
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pLoc = -rhoConst*rC(k)*gravity |
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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: 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 = -rhoConst*rF(k)*gravity |
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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 |
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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 |
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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) = 0. _d 0 |
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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) |
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DO k=1,Nr-1 |
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ddPI=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
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& -((rC(k+1)/atm_Po)**atm_kappa) ) |
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phiRef(2*k+1) = phiRef(2*k) + ddPI*0.5*tLoc(k) |
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phiRef(2*k+2) = phiRef(2*k) |
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& + ddPI*0.5*(tLoc(k)+tLoc(k+1)) |
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ENDDO |
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k = Nr |
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ddPI=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
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& -((rF(k+1)/atm_Po)**atm_kappa) ) |
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phiRef(2*k+1) = phiRef(2*k) + ddPI*tLoc(k) |
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C------ |
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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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ELSE |
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STOP 'SET_REF_STATE: Bad value of buoyancyRelation !' |
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C-- endif buoyancyRelation |
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ENDIF |
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|
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C-- fill-in phiRef array (presently not used) |
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IF ( buoyancyRelation.EQ.'OCEANIC' ) THEN |
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c phiRef(1) = gravitySign*gravity*(rF(1)-Ro_SeaLevel) |
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phiRef(1) = 0. _d 0 |
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DO k=1,Nr |
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phiRef(2*k) = gravitySign*gravity*(rC(k) - Ro_SeaLevel) |
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phiRef(2*k+1) = gravitySign*gravity*(rF(k+1)-Ro_SeaLevel) |
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ENDDO |
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ELSEIF ( buoyancyRelation.EQ.'OCEANICP' ) THEN |
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C should be : phiRef = phi_Origin - (rC - Ro_SeaLevel)/rhoConst |
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C- but since the reference geopotential "phi_Origin" @ p = rF(k=1) |
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C is not currently stored, we only get a relative geopotential: |
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phiRef(1) = -recip_rhoConst*rF(1) |
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DO k=1,Nr |
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phiRef(2*k) = -recip_rhoConst*rC(k) |
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phiRef(2*k+1) = -recip_rhoConst*rF(k+1) |
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ENDDO |
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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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|
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IF ( usingZCoords .AND. rhoRefFile .NE. ' ' ) THEN |
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C-- anelastic formulation : set density factor from reference density profile |
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C surface-interface rho-factor has to be 1: |
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rhoFacF(1) = 1. _d 0 |
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C rhoFac(k) = density ratio between layer k and top interface |
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DO k=1,Nr |
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rhoFacC(k) = rho1Ref(k)/rhoConst |
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ENDDO |
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DO k=2,Nr |
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rhoFacF(k) = (rhoFacC(k-1)*drF(k)+rhoFacC(k)*drF(k-1)) |
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& / (drF(k)+drF(k-1)) |
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ENDDO |
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C extrapolate down to the bottom: |
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rhoFacF(Nr+1)= 2. _d 0*rhoFacC(Nr) - rhoFacF(Nr) |
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C- set reciprocal rho-factor: |
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DO k=1,Nr |
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recip_rhoFacC(k) = 1. _d 0/rhoFacC(k) |
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ENDDO |
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DO k=1,Nr+1 |
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recip_rhoFacF(k) = 1. _d 0/rhoFacF(k) |
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ENDDO |
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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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|
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C-- Write to check : |
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IF (buoyancyRelation .EQ. 'ATMOSPHERIC') THEN |
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WRITE(msgBuf,'(A)') ' ' |
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CALL PRINT_MESSAGE( msgBuf, stdUnit, SQUEEZE_RIGHT, myThid ) |
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WRITE(msgBuf,'(A)') |
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& 'SET_REF_STATE: PhiRef/g [m] at level Center (integer)' |
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CALL PRINT_MESSAGE( msgBuf, stdUnit, SQUEEZE_RIGHT, myThid ) |
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WRITE(msgBuf,'(A)') |
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& ' and at level Interface (half-int.) :' |
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CALL PRINT_MESSAGE( msgBuf, stdUnit, SQUEEZE_RIGHT, myThid ) |
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DO k=1,2*Nr+1 |
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WRITE(msgBuf,'(A,F5.1,A,F15.1,A,F13.3)') |
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& ' K=',k*0.5,' ; r=',rHalf(k),' ; phiRef/g=', |
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& phiRef(k)*recip_gravity |
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CALL PRINT_MESSAGE(msgBuf, stdUnit, SQUEEZE_RIGHT, myThid ) |
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ENDDO |
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ELSE |
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C-- Write reference density to binary file : |
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CALL WRITE_GLVEC_RL( 'RhoRef',' ',rhoRef, Nr, -1, myThid ) |
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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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|
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_END_MASTER( myThid ) |
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_BARRIER |
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|
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RETURN |
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END |
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