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C $Header$ |
C $Header$ |
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C $Name$ |
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#include "CPP_EEOPTIONS.h" |
#include "PACKAGES_CONFIG.h" |
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#include "CPP_OPTIONS.h" |
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SUBROUTINE CALC_PHI_HYD( bi, bj, iMin, iMax, jMin, jMax, K, |
CBOP |
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I buoyKM1, buoyKP1, phiHyd, myThid) |
C !ROUTINE: CALC_PHI_HYD |
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C /==========================================================\ |
C !INTERFACE: |
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SUBROUTINE CALC_PHI_HYD( |
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I bi, bj, iMin, iMax, jMin, jMax, k, |
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I tFld, sFld, |
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U phiHydF, |
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O phiHydC, dPhiHydX, dPhiHydY, |
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I myTime, myIter, myThid) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE CALC_PHI_HYD | |
C | SUBROUTINE CALC_PHI_HYD | |
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C | o Integrate the hydrostatic relation to find phiHyd. | |
C | o Integrate the hydrostatic relation to find the Hydros. | |
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C | | |
C *==========================================================* |
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C \==========================================================/ |
C | Potential (ocean: Pressure/rho ; atmos = geopotential) |
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C | On entry: |
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C | tFld,sFld are the current thermodynamics quantities |
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C | (unchanged on exit) |
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C | phiHydF(i,j) is the hydrostatic Potential anomaly |
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C | at middle between tracer points k-1,k |
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C | On exit: |
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C | phiHydC(i,j) is the hydrostatic Potential anomaly |
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C | at cell centers (tracer points), level k |
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C | phiHydF(i,j) is the hydrostatic Potential anomaly |
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C | at middle between tracer points k,k+1 |
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C | dPhiHydX,Y hydrostatic Potential gradient (X&Y dir) |
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C | at cell centers (tracer points), level k |
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C | integr_GeoPot allows to select one integration method |
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C | 1= Finite volume form ; else= Finite difference form |
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C *==========================================================* |
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C \ev |
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C !USES: |
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IMPLICIT NONE |
IMPLICIT NONE |
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C == Global variables == |
C == Global variables == |
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#include "SIZE.h" |
#include "SIZE.h" |
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#include "DYNVARS.h" |
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#include "GRID.h" |
#include "GRID.h" |
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#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
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#include "PARAMS.h" |
#include "PARAMS.h" |
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#ifdef ALLOW_AUTODIFF_TAMC |
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#include "tamc.h" |
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#include "tamc_keys.h" |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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#include "SURFACE.h" |
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#include "DYNVARS.h" |
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
C == Routine arguments == |
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INTEGER bi,bj,iMin,iMax,jMin,jMax,K |
C bi, bj, k :: tile and level indices |
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_RL buoyKM1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
C iMin,iMax,jMin,jMax :: computational domain |
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_RL buoyKP1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
C tFld :: potential temperature |
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_RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
C sFld :: salinity |
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integer myThid |
C phiHydF :: hydrostatic potential anomaly at middle between |
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C 2 centers (entry: Interf_k ; output: Interf_k+1) |
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C phiHydC :: hydrostatic potential anomaly at cell center |
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C dPhiHydX,Y :: gradient (X & Y dir.) of hydrostatic potential anom. |
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C myTime :: current time |
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C myIter :: current iteration number |
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C myThid :: thread number for this instance of the routine. |
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INTEGER bi,bj,iMin,iMax,jMin,jMax,k |
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_RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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c _RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL phiHydF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL phiHydC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
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_RL myTime |
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INTEGER myIter, myThid |
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#ifdef INCLUDE_PHIHYD_CALCULATION_CODE |
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C !LOCAL VARIABLES: |
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C == Local variables == |
C == Local variables == |
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INTEGER i,j,Km1 |
INTEGER i,j |
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_RL halfLayer |
_RL zero, one, half |
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_RL gamma |
_RL alphaRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dRlocM,dRlocP, ddRloc, locAlpha |
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if (K.eq.1) then |
_RL ddPIm, ddPIp, rec_dRm, rec_dRp |
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Km1=1 |
_RL surfPhiFac |
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halfLayer=0.5 _d 0 |
PARAMETER ( zero= 0. _d 0 , one= 1. _d 0 , half= .5 _d 0 ) |
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else |
LOGICAL useDiagPhiRlow, addSurfPhiAnom |
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Km1=K-1 |
CEOP |
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halfLayer=1.0 _d 0 |
useDiagPhiRlow = .TRUE. |
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endif |
addSurfPhiAnom = select_rStar.EQ.0 .AND. nonlinFreeSurf.GT.3 |
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surfPhiFac = 0. |
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C-- Scale factor for hydrostatic relation except for ocean in pressure coords. |
IF (addSurfPhiAnom) surfPhiFac = 1. |
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gamma = 1. _d 0 |
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C-- Scale factor for hydrostatic relation for ocean in pressure coords. |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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IF ( buoyancyRelation .EQ. 'OCEANIC' .AND. usingPCoords ) THEN |
C Atmosphere: |
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gamma = recip_Gravity*recip_rhoConst |
C integr_GeoPot => select one option for the integration of the Geopotential: |
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C = 0 : Energy Conserving Form, accurate with Topo full cell; |
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C = 1 : Finite Volume Form, with Part-Cell, linear in P by Half level; |
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C =2,3: Finite Difference Form, with Part-Cell, |
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C linear in P between 2 Tracer levels. |
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C can handle both cases: Tracer lev at the middle of InterFace_W |
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C and InterFace_W at the middle of Tracer lev; |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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ikey = (act1 + 1) + act2*max1 |
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& + act3*max1*max2 |
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& + act4*max1*max2*max3 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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C-- Initialize phiHydF to zero : |
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C note: atmospheric_loading or Phi_topo anomaly are incorporated |
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C later in S/R calc_grad_phi_hyd |
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IF (k.EQ.1) THEN |
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DO j=1-Oly,sNy+Oly |
127 |
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DO i=1-Olx,sNx+Olx |
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phiHydF(i,j) = 0. |
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ENDDO |
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ENDDO |
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ENDIF |
ENDIF |
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C-- Contribution to phiHyd(:,:,K) from buoy(:,:,K-1) + buoy(:,:,K) |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C (This is now the actual hydrostatic pressure|height at the T/S points) |
IF ( buoyancyRelation .EQ. 'OCEANIC' ) THEN |
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DO j=jMin,jMax |
C This is the hydrostatic pressure calculation for the Ocean |
136 |
DO i=iMin,iMax |
C which uses the FIND_RHO() routine to calculate density |
137 |
phiHyd(i,j,K)=phiHyd(i,j,Km1)-rhoConst*halfLayer |
C before integrating g*rho over the current layer/interface |
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& *0.5 _d 0*( drF(Km1)+drF(K) )*gamma |
#ifdef ALLOW_AUTODIFF_TAMC |
139 |
& *0.5 _d 0*( buoyKM1(i,j)+buoyKP1(i,j) ) |
CADJ GENERAL |
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ENDDO |
#endif /* ALLOW_AUTODIFF_TAMC */ |
141 |
ENDDO |
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C--- Calculate density |
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! ------------------------------------------------------------------------------ |
#ifdef ALLOW_AUTODIFF_TAMC |
144 |
return |
kkey = (ikey-1)*Nr + k |
145 |
end |
CADJ STORE tFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
146 |
! ============================================================================== |
CADJ STORE sFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, k, |
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& tFld, sFld, |
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& alphaRho, myThid) |
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#ifdef ALLOW_SHELFICE |
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C mask rho, so that there is no contribution of phiHyd from |
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C overlying shelfice (whose density we do not know) |
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IF ( useShelfIce ) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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alphaRho(i,j) = alphaRho(i,j)*maskC(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* ALLOW_SHELFICE */ |
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#ifdef ALLOW_DIAGNOSTICS |
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IF ( useDiagnostics ) |
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& CALL DIAGNOSTICS_FILL(alphaRho,'RHOAnoma',k,1,2,bi,bj,myThid) |
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#endif |
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#ifdef ALLOW_MOM_COMMON |
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C Quasi-hydrostatic terms are added in as if they modify the buoyancy |
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IF (quasiHydrostatic) THEN |
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CALL MOM_QUASIHYDROSTATIC(bi,bj,k,uVel,vVel,alphaRho,myThid) |
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ENDIF |
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#endif /* ALLOW_MOM_COMMON */ |
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#ifdef NONLIN_FRSURF |
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IF (k.EQ.1 .AND. addSurfPhiAnom) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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phiHydF(i,j) = surfPhiFac*etaH(i,j,bi,bj) |
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& *gravity*alphaRho(i,j)*recip_rhoConst |
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ENDDO |
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ENDDO |
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ENDIF |
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#endif /* NONLIN_FRSURF */ |
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C---- Hydrostatic pressure at cell centers |
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IF (integr_GeoPot.EQ.1) THEN |
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C -- Finite Volume Form |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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C---------- This discretization is the "finite volume" form |
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C which has not been used to date since it does not |
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C conserve KE+PE exactly even though it is more natural |
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C |
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phiHydC(i,j)=phiHydF(i,j) |
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& + half*drF(k)*gravity*alphaRho(i,j)*recip_rhoConst |
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phiHydF(i,j)=phiHydF(i,j) |
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& + drF(k)*gravity*alphaRho(i,j)*recip_rhoConst |
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ENDDO |
203 |
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ENDDO |
204 |
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ELSE |
206 |
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C -- Finite Difference Form |
207 |
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208 |
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dRlocM=half*drC(k) |
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IF (k.EQ.1) dRlocM=rF(k)-rC(k) |
210 |
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IF (k.EQ.Nr) THEN |
211 |
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dRlocP=rC(k)-rF(k+1) |
212 |
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ELSE |
213 |
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dRlocP=half*drC(k+1) |
214 |
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ENDIF |
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216 |
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DO j=jMin,jMax |
217 |
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DO i=iMin,iMax |
218 |
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C---------- This discretization is the "energy conserving" form |
220 |
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C which has been used since at least Adcroft et al., MWR 1997 |
221 |
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C |
222 |
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phiHydC(i,j)=phiHydF(i,j) |
223 |
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& +dRlocM*gravity*alphaRho(i,j)*recip_rhoConst |
224 |
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phiHydF(i,j)=phiHydC(i,j) |
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& +dRlocP*gravity*alphaRho(i,j)*recip_rhoConst |
226 |
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ENDDO |
227 |
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ENDDO |
228 |
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C -- end if integr_GeoPot = ... |
230 |
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ENDIF |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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ELSEIF ( buoyancyRelation .EQ. 'OCEANICP' ) THEN |
234 |
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C This is the hydrostatic pressure calculation for the Ocean |
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C which uses the FIND_RHO() routine to calculate density |
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C before integrating (1/rho)'*dp over the current layer/interface |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ GENERAL |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
240 |
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C-- Calculate density |
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#ifdef ALLOW_AUTODIFF_TAMC |
243 |
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kkey = (ikey-1)*Nr + k |
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CADJ STORE tFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
245 |
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CADJ STORE sFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
246 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, k, |
248 |
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& tFld, sFld, |
249 |
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& alphaRho, myThid) |
250 |
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#ifdef ALLOW_AUTODIFF_TAMC |
251 |
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CADJ STORE alphaRho (:,:) = comlev1_bibj_k, key=kkey, byte=isbyte |
252 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
253 |
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254 |
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#ifdef ALLOW_DIAGNOSTICS |
255 |
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IF ( useDiagnostics ) |
256 |
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& CALL DIAGNOSTICS_FILL(alphaRho,'RHOAnoma',k,1,2,bi,bj,myThid) |
257 |
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#endif |
258 |
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259 |
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C-- Calculate specific volume anomaly : alpha' = 1/rho - alpha_Cst |
260 |
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DO j=jMin,jMax |
261 |
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DO i=iMin,iMax |
262 |
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locAlpha=alphaRho(i,j)+rhoConst |
263 |
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alphaRho(i,j)=maskC(i,j,k,bi,bj)* |
264 |
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& (one/locAlpha - recip_rhoConst) |
265 |
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ENDDO |
266 |
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ENDDO |
267 |
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268 |
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C---- Hydrostatic pressure at cell centers |
269 |
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270 |
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IF (integr_GeoPot.EQ.1) THEN |
271 |
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C -- Finite Volume Form |
272 |
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273 |
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DO j=jMin,jMax |
274 |
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DO i=iMin,iMax |
275 |
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|
276 |
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C---------- This discretization is the "finite volume" form |
277 |
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C which has not been used to date since it does not |
278 |
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C conserve KE+PE exactly even though it is more natural |
279 |
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C |
280 |
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IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
281 |
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ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
282 |
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#ifdef NONLIN_FRSURF |
283 |
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ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
284 |
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#endif |
285 |
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phiHydC(i,j) = ddRloc*alphaRho(i,j) |
286 |
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c--to reproduce results of c48d_post: uncomment those 4+1 lines |
287 |
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c phiHydC(i,j)=phiHydF(i,j) |
288 |
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c & +(hFacC(i,j,k,bi,bj)-half)*drF(k)*alphaRho(i,j) |
289 |
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c phiHydF(i,j)=phiHydF(i,j) |
290 |
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c & + hFacC(i,j,k,bi,bj)*drF(k)*alphaRho(i,j) |
291 |
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ELSE |
292 |
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phiHydC(i,j) = phiHydF(i,j) + half*drF(k)*alphaRho(i,j) |
293 |
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c phiHydF(i,j) = phiHydF(i,j) + drF(k)*alphaRho(i,j) |
294 |
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ENDIF |
295 |
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c-- and comment this last one: |
296 |
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phiHydF(i,j) = phiHydC(i,j) + half*drF(k)*alphaRho(i,j) |
297 |
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c----- |
298 |
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ENDDO |
299 |
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ENDDO |
300 |
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301 |
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ELSE |
302 |
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C -- Finite Difference Form, with Part-Cell Bathy |
303 |
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304 |
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dRlocM=half*drC(k) |
305 |
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IF (k.EQ.1) dRlocM=rF(k)-rC(k) |
306 |
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IF (k.EQ.Nr) THEN |
307 |
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dRlocP=rC(k)-rF(k+1) |
308 |
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ELSE |
309 |
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dRlocP=half*drC(k+1) |
310 |
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ENDIF |
311 |
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rec_dRm = one/(rF(k)-rC(k)) |
312 |
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rec_dRp = one/(rC(k)-rF(k+1)) |
313 |
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314 |
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DO j=jMin,jMax |
315 |
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DO i=iMin,iMax |
316 |
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317 |
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C---------- This discretization is the "energy conserving" form |
318 |
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319 |
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IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
320 |
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ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
321 |
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#ifdef NONLIN_FRSURF |
322 |
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ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
323 |
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#endif |
324 |
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phiHydC(i,j) =( MAX(zero,ddRloc)*rec_dRm*dRlocM |
325 |
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& +MIN(zero,ddRloc)*rec_dRp*dRlocP |
326 |
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& )*alphaRho(i,j) |
327 |
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ELSE |
328 |
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phiHydC(i,j) = phiHydF(i,j) + dRlocM*alphaRho(i,j) |
329 |
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ENDIF |
330 |
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phiHydF(i,j) = phiHydC(i,j) + dRlocP*alphaRho(i,j) |
331 |
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ENDDO |
332 |
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ENDDO |
333 |
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334 |
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C -- end if integr_GeoPot = ... |
335 |
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ENDIF |
336 |
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337 |
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ELSEIF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN |
338 |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
339 |
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C This is the hydrostatic geopotential calculation for the Atmosphere |
340 |
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C The ideal gas law is used implicitly here rather than calculating |
341 |
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C the specific volume, analogous to the oceanic case. |
342 |
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343 |
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C-- virtual potential temperature anomaly (including water vapour effect) |
344 |
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DO j=jMin,jMax |
345 |
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DO i=iMin,iMax |
346 |
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alphaRho(i,j)=maskC(i,j,k,bi,bj) |
347 |
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& *( tFld(i,j,k,bi,bj)*(sFld(i,j,k,bi,bj)*atm_Rq+one) |
348 |
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& -tRef(k) ) |
349 |
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ENDDO |
350 |
|
ENDDO |
351 |
|
|
352 |
|
C--- Integrate d Phi / d pi |
353 |
|
|
354 |
|
IF (integr_GeoPot.EQ.0) THEN |
355 |
|
C -- Energy Conserving Form, accurate with Full cell topo -- |
356 |
|
C------------ The integration for the first level phi(k=1) is the same |
357 |
|
C for both the "finite volume" and energy conserving methods. |
358 |
|
C *NOTE* o Working with geopotential Anomaly, the geopotential boundary |
359 |
|
C condition is simply Phi-prime(Ro_surf)=0. |
360 |
|
C o convention ddPI > 0 (same as drF & drC) |
361 |
|
C----------------------------------------------------------------------- |
362 |
|
IF (k.EQ.1) THEN |
363 |
|
ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) |
364 |
|
& -((rC( k )/atm_Po)**atm_kappa) ) |
365 |
|
ELSE |
366 |
|
ddPIm=atm_Cp*( ((rC(k-1)/atm_Po)**atm_kappa) |
367 |
|
& -((rC( k )/atm_Po)**atm_kappa) )*half |
368 |
|
ENDIF |
369 |
|
IF (k.EQ.Nr) THEN |
370 |
|
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
371 |
|
& -((rF(k+1)/atm_Po)**atm_kappa) ) |
372 |
|
ELSE |
373 |
|
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
374 |
|
& -((rC(k+1)/atm_Po)**atm_kappa) )*half |
375 |
|
ENDIF |
376 |
|
C-------- This discretization is the energy conserving form |
377 |
|
DO j=jMin,jMax |
378 |
|
DO i=iMin,iMax |
379 |
|
phiHydC(i,j) = phiHydF(i,j) +ddPIm*alphaRho(i,j) |
380 |
|
phiHydF(i,j) = phiHydC(i,j) +ddPIp*alphaRho(i,j) |
381 |
|
ENDDO |
382 |
|
ENDDO |
383 |
|
C end: Energy Conserving Form, No hFac -- |
384 |
|
C----------------------------------------------------------------------- |
385 |
|
|
386 |
|
ELSEIF (integr_GeoPot.EQ.1) THEN |
387 |
|
C -- Finite Volume Form, with Part-Cell Topo, linear in P by Half level |
388 |
|
C--------- |
389 |
|
C Finite Volume formulation consistent with Partial Cell, linear in p by piece |
390 |
|
C Note: a true Finite Volume form should be linear between 2 Interf_W : |
391 |
|
C phi_C = (phi_W_k+ phi_W_k+1)/2 ; but not accurate in Stratosphere (low p) |
392 |
|
C also: if Interface_W at the middle between tracer levels, this form |
393 |
|
C is close to the Energy Cons. form in the Interior, except for the |
394 |
|
C non-linearity in PI(p) |
395 |
|
C--------- |
396 |
|
ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) |
397 |
|
& -((rC( k )/atm_Po)**atm_kappa) ) |
398 |
|
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
399 |
|
& -((rF(k+1)/atm_Po)**atm_kappa) ) |
400 |
|
DO j=jMin,jMax |
401 |
|
DO i=iMin,iMax |
402 |
|
IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
403 |
|
ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
404 |
|
#ifdef NONLIN_FRSURF |
405 |
|
ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
406 |
|
#endif |
407 |
|
phiHydC(i,j) = ddRloc*recip_drF(k)*2. _d 0 |
408 |
|
& *ddPIm*alphaRho(i,j) |
409 |
|
ELSE |
410 |
|
phiHydC(i,j) = phiHydF(i,j) +ddPIm*alphaRho(i,j) |
411 |
|
ENDIF |
412 |
|
phiHydF(i,j) = phiHydC(i,j) +ddPIp*alphaRho(i,j) |
413 |
|
ENDDO |
414 |
|
ENDDO |
415 |
|
C end: Finite Volume Form, with Part-Cell Topo, linear in P by Half level |
416 |
|
C----------------------------------------------------------------------- |
417 |
|
|
418 |
|
ELSEIF ( integr_GeoPot.EQ.2 |
419 |
|
& .OR. integr_GeoPot.EQ.3 ) THEN |
420 |
|
C -- Finite Difference Form, with Part-Cell Topo, |
421 |
|
C works with Interface_W at the middle between 2.Tracer_Level |
422 |
|
C and with Tracer_Level at the middle between 2.Interface_W. |
423 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
424 |
|
C Finite Difference formulation consistent with Partial Cell, |
425 |
|
C Valid & accurate if Interface_W at middle between tracer levels |
426 |
|
C linear in p between 2 Tracer levels ; conserve energy in the Interior |
427 |
|
C--------- |
428 |
|
IF (k.EQ.1) THEN |
429 |
|
ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) |
430 |
|
& -((rC( k )/atm_Po)**atm_kappa) ) |
431 |
|
ELSE |
432 |
|
ddPIm=atm_Cp*( ((rC(k-1)/atm_Po)**atm_kappa) |
433 |
|
& -((rC( k )/atm_Po)**atm_kappa) )*half |
434 |
|
ENDIF |
435 |
|
IF (k.EQ.Nr) THEN |
436 |
|
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
437 |
|
& -((rF(k+1)/atm_Po)**atm_kappa) ) |
438 |
|
ELSE |
439 |
|
ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) |
440 |
|
& -((rC(k+1)/atm_Po)**atm_kappa) )*half |
441 |
|
ENDIF |
442 |
|
rec_dRm = one/(rF(k)-rC(k)) |
443 |
|
rec_dRp = one/(rC(k)-rF(k+1)) |
444 |
|
DO j=jMin,jMax |
445 |
|
DO i=iMin,iMax |
446 |
|
IF (k.EQ.ksurfC(i,j,bi,bj)) THEN |
447 |
|
ddRloc = Ro_surf(i,j,bi,bj)-rC(k) |
448 |
|
#ifdef NONLIN_FRSURF |
449 |
|
ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) |
450 |
|
#endif |
451 |
|
phiHydC(i,j) =( MAX(zero,ddRloc)*rec_dRm*ddPIm |
452 |
|
& +MIN(zero,ddRloc)*rec_dRp*ddPIp ) |
453 |
|
& *alphaRho(i,j) |
454 |
|
ELSE |
455 |
|
phiHydC(i,j) = phiHydF(i,j) +ddPIm*alphaRho(i,j) |
456 |
|
ENDIF |
457 |
|
phiHydF(i,j) = phiHydC(i,j) +ddPIp*alphaRho(i,j) |
458 |
|
ENDDO |
459 |
|
ENDDO |
460 |
|
C end: Finite Difference Form, with Part-Cell Topo |
461 |
|
C----------------------------------------------------------------------- |
462 |
|
|
463 |
|
ELSE |
464 |
|
STOP 'CALC_PHI_HYD: Bad integr_GeoPot option !' |
465 |
|
ENDIF |
466 |
|
|
467 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
468 |
|
ELSE |
469 |
|
STOP 'CALC_PHI_HYD: Bad value of buoyancyRelation !' |
470 |
|
ENDIF |
471 |
|
|
472 |
|
C--- Diagnose Phi at boundary r=R_low : |
473 |
|
C = Ocean bottom pressure (Ocean, Z-coord.) |
474 |
|
C = Sea-surface height (Ocean, P-coord.) |
475 |
|
C = Top atmosphere height (Atmos, P-coord.) |
476 |
|
IF (useDiagPhiRlow) THEN |
477 |
|
CALL DIAGS_PHI_RLOW( |
478 |
|
I k, bi, bj, iMin,iMax, jMin,jMax, |
479 |
|
I phiHydF, phiHydC, alphaRho, tFld, sFld, |
480 |
|
I myTime, myIter, myThid) |
481 |
|
ENDIF |
482 |
|
|
483 |
|
C--- Diagnose Full Hydrostatic Potential at cell center level |
484 |
|
CALL DIAGS_PHI_HYD( |
485 |
|
I k, bi, bj, iMin,iMax, jMin,jMax, |
486 |
|
I phiHydC, |
487 |
|
I myTime, myIter, myThid) |
488 |
|
|
489 |
|
IF (momPressureForcing) THEN |
490 |
|
CALL CALC_GRAD_PHI_HYD( |
491 |
|
I k, bi, bj, iMin,iMax, jMin,jMax, |
492 |
|
I phiHydC, alphaRho, tFld, sFld, |
493 |
|
O dPhiHydX, dPhiHydY, |
494 |
|
I myTime, myIter, myThid) |
495 |
|
ENDIF |
496 |
|
|
497 |
|
#endif /* INCLUDE_PHIHYD_CALCULATION_CODE */ |
498 |
|
|
499 |
|
RETURN |
500 |
|
END |