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C $Header: /u/gcmpack/models/MITgcmUV/model/src/calc_phi_hyd.F,v 1.13 2001/05/14 21:51:24 heimbach 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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SUBROUTINE CALC_PHI_HYD( |
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I bi, bj, iMin, iMax, jMin, jMax, K, |
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I theta, salt, |
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U phiHyd, |
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I myThid) |
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C /==========================================================\ |
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C | SUBROUTINE CALC_PHI_HYD | |
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C | o Integrate the hydrostatic relation to find the Hydros. | |
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C | Potential (ocean: Pressure/rho ; atmos = geopotential)| |
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C | On entry: | |
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C | theta,salt are the current thermodynamics quantities| |
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C | (unchanged on exit) | |
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C | phiHyd(i,j,1:k-1) is the hydrostatic Potential | |
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C | at cell centers (tracer points) | |
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C | - 1:k-1 layers are valid | |
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C | - k:Nr layers are invalid | |
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C | phiHyd(i,j,k) is the hydrostatic Potential | |
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C | (ocean only_^) at cell the interface k (w point above) | |
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C | On exit: | |
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C | phiHyd(i,j,1:k) is the hydrostatic Potential | |
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C | at cell centers (tracer points) | |
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C | - 1:k layers are valid | |
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C | - k+1:Nr layers are invalid | |
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C | phiHyd(i,j,k+1) is the hydrostatic Potential (P/rho) | |
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C | (ocean only-^) at cell the interface k+1 (w point below)| |
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C | Atmosphere: | |
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C | Integr_GeoPot allows to select one integration method | |
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C | (see the list below) | |
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C \==========================================================/ |
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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 "GRID.h" |
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#include "EEPARAMS.h" |
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#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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|
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C == Routine arguments == |
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INTEGER bi,bj,iMin,iMax,jMin,jMax,K |
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_RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL salt(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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INTEGER myThid |
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|
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#ifdef INCLUDE_PHIHYD_CALCULATION_CODE |
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|
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C == Local variables == |
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INTEGER i,j, Kp1 |
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_RL zero, one, half |
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_RL alphaRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dRloc,dRlocKp1 |
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_RL ddPI, ddPIm, ddPIp, ratioRp, ratioRm |
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|
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zero = 0. _d 0 |
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one = 1. _d 0 |
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half = .5 _d 0 |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C Atmosphere: |
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C Integr_GeoPot => select one option for the integration of the Geopotential: |
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C = 0 : Energy Conserving Form, No hFac ; |
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C = 1 : Finite Volume Form, with hFac, linear in P by Half level; |
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C =2,3: Finite Difference Form, with hFac, linear in P between 2 Tracer levels |
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C 2 : case Tracer level at the middle of InterFace_W; |
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C 3 : case InterFace_W at the middle of Tracer levels; |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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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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|
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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|
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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|
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act4 = ikey_dynamics - 1 |
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|
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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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|
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IF ( buoyancyRelation .eq. 'OCEANIC' ) THEN |
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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 g*rho over the current layer/interface |
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|
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dRloc=drC(k) |
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IF (k.EQ.1) dRloc=drF(1) |
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IF (k.EQ.Nr) THEN |
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dRlocKp1=0. |
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ELSE |
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dRlocKp1=drC(k+1) |
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ENDIF |
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|
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C-- If this is the top layer we impose the boundary condition |
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C P(z=eta) = P(atmospheric_loading) |
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IF (k.EQ.1) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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C *NOTE* The loading should go here but has not been implemented yet |
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phiHyd(i,j,k)=0. |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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C Calculate density |
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#ifdef ALLOW_AUTODIFF_TAMC |
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kkey = (ikey-1)*Nr + k |
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CADJ STORE theta(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
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CADJ STORE salt (:,:,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, eosType, |
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& theta, salt, |
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& alphaRho, myThid) |
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|
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C Hydrostatic pressure at cell centers |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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#ifdef ALLOW_AUTODIFF_TAMC |
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c Patrick, is this directive correct or even necessary in |
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c this new code? |
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c Yes, because of phiHyd(i,j,k+1)=phiHyd(i,j,k)+... |
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c within the k-loop. |
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CADJ GENERAL |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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|
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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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c IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
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c & drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
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c phiHyd(i,j,k)=phiHyd(i,j,k)+ |
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c & 0.5*drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
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C----------------------------------------------------------------------- |
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|
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C---------- This discretization is the "energy conserving" form |
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C which has been used since at least Adcroft et al., MWR 1997 |
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C |
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phiHyd(i,j,k)=phiHyd(i,j,k)+ |
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& 0.5*dRloc*gravity*alphaRho(i,j)*recip_rhoConst |
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IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
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& 0.5*dRlocKp1*gravity*alphaRho(i,j)*recip_rhoConst |
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C----------------------------------------------------------------------- |
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ENDDO |
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ENDDO |
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|
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|
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|
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ELSEIF ( buoyancyRelation .eq. 'ATMOSPHERIC' ) THEN |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C This is the hydrostatic geopotential calculation for the Atmosphere |
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C The ideal gas law is used implicitly here rather than calculating |
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C the specific volume, analogous to the oceanic case. |
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|
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C Integrate d Phi / d pi |
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|
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IF (Integr_GeoPot.EQ.0) THEN |
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C -- Energy Conserving Form, No hFac -- |
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C------------ The integration for the first level phi(k=1) is the same |
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C for both the "finite volume" and energy conserving methods. |
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C *NOTE* o Working with geopotential Anomaly, the geopotential boundary |
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C condition is simply Phi'(Ro_surf)=0. |
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C o convention ddPI > 0 (same as drF & drC) |
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C----------------------------------------------------------------------- |
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IF (K.EQ.1) THEN |
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ddPIp=atm_cp*( ((rF(K)/atm_po)**atm_kappa) |
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& -((rC(K)/atm_po)**atm_kappa) ) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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phiHyd(i,j,K)= |
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& ddPIp*maskC(i,j,K,bi,bj) |
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& *(theta(I,J,K,bi,bj)-tRef(K)) |
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ENDDO |
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ENDDO |
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ELSE |
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C-------- This discretization is the energy conserving form |
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ddPI=atm_cp*( ((rC(K-1)/atm_po)**atm_kappa) |
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& -((rC( K )/atm_po)**atm_kappa) )*0.5 |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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phiHyd(i,j,K)=phiHyd(i,j,K-1) |
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& +ddPI*maskC(i,j,K-1,bi,bj) |
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& *(theta(I,J,K-1,bi,bj)-tRef(K-1)) |
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& +ddPI*maskC(i,j, K ,bi,bj) |
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& *(theta(I,J, K ,bi,bj)-tRef( K )) |
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C Old code (atmos-exact) looked like this |
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Cold phiHyd(i,j,K)=phiHyd(i,j,K-1) - ddPI* |
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Cold & (theta(I,J,K-1,bi,bj)+theta(I,J,K,bi,bj)-2.*tRef(K)) |
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ENDDO |
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ENDDO |
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ENDIF |
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C end: Energy Conserving Form, No hFac -- |
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C----------------------------------------------------------------------- |
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|
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ELSEIF (Integr_GeoPot.EQ.1) THEN |
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C -- Finite Volume Form, with hFac, linear in P by Half level -- |
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C--------- |
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C Finite Volume formulation consistent with Partial Cell, linear in p by piece |
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C Note: a true Finite Volume form should be linear between 2 Interf_W : |
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C phi_C = (phi_W_k+ phi_W_k+1)/2 ; but not accurate in Stratosphere (low p) |
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C also: if Interface_W at the middle between tracer levels, this form |
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C is close to the Energy Cons. form in the Interior, except for the |
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C non-linearity in PI(p) |
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C--------- |
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IF (K.EQ.1) THEN |
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ddPIp=atm_cp*( ((rF(K)/atm_po)**atm_kappa) |
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& -((rC(K)/atm_po)**atm_kappa) ) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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phiHyd(i,j,K) = |
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& ddPIp*hFacC(I,J, K ,bi,bj) |
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& *(theta(I,J, K ,bi,bj)-tRef( K )) |
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ENDDO |
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ENDDO |
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ELSE |
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ddPIm=atm_cp*( ((rC(K-1)/atm_po)**atm_kappa) |
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& -((rF( K )/atm_po)**atm_kappa) ) |
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ddPIp=atm_cp*( ((rF( K )/atm_po)**atm_kappa) |
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& -((rC( K )/atm_po)**atm_kappa) ) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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phiHyd(i,j,K) = phiHyd(i,j,K-1) |
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& +ddPIm*hFacC(I,J,K-1,bi,bj) |
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& *(theta(I,J,K-1,bi,bj)-tRef(K-1)) |
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& +ddPIp*hFacC(I,J, K ,bi,bj) |
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& *(theta(I,J, K ,bi,bj)-tRef( K )) |
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ENDDO |
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ENDDO |
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ENDIF |
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C end: Finite Volume Form, with hFac, linear in P by Half level -- |
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C----------------------------------------------------------------------- |
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|
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ELSEIF (Integr_GeoPot.EQ.2) THEN |
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C -- Finite Difference Form, with hFac, Tracer Lev. = middle -- |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C Finite Difference formulation consistent with Partial Cell, |
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C case Tracer level at the middle of InterFace_W |
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C linear between 2 Tracer levels ; conserve energy in the Interior |
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C--------- |
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Kp1 = min(Nr,K+1) |
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IF (K.EQ.1) THEN |
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ddPIm=atm_cp*( ((rF( K )/atm_po)**atm_kappa) |
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& -((rC( K )/atm_po)**atm_kappa) ) * 2. _d 0 |
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ddPIp=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
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& -((rC(Kp1)/atm_po)**atm_kappa) ) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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phiHyd(i,j,K) = |
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& ( ddPIm*max(zero, hFacC(i,j,K,bi,bj)-half) |
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& +ddPIp*min(zero, hFacC(i,j,K,bi,bj)-half) ) |
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& *(theta(i,j, K ,bi,bj)-tRef( K )) |
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& * maskC(i,j, K ,bi,bj) |
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ENDDO |
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ENDDO |
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ELSE |
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ddPIm=atm_cp*( ((rC(K-1)/atm_po)**atm_kappa) |
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& -((rC( K )/atm_po)**atm_kappa) ) |
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ddPIp=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
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& -((rC(Kp1)/atm_po)**atm_kappa) ) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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phiHyd(i,j,K) = phiHyd(i,j,K-1) |
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& + ddPIm*0.5 |
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& *(theta(i,j,K-1,bi,bj)-tRef(K-1)) |
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& * maskC(i,j,K-1,bi,bj) |
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& +(ddPIm*max(zero, hFacC(i,j,K,bi,bj)-half) |
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& +ddPIp*min(zero, hFacC(i,j,K,bi,bj)-half) ) |
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& *(theta(i,j, K ,bi,bj)-tRef( K )) |
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& * 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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C end: Finite Difference Form, with hFac, Tracer Lev. = middle -- |
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C----------------------------------------------------------------------- |
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|
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ELSEIF (Integr_GeoPot.EQ.3) THEN |
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C -- Finite Difference Form, with hFac, Interface_W = middle -- |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C Finite Difference formulation consistent with Partial Cell, |
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C Valid & accurate if Interface_W at middle between tracer levels |
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C linear in p between 2 Tracer levels ; conserve energy in the Interior |
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C--------- |
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Kp1 = min(Nr,K+1) |
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IF (K.EQ.1) THEN |
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ratioRm=0.5*drF(K)/(rF(k)-rC(K)) |
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ratioRp=drF(K)*recip_drC(Kp1) |
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ddPIm=atm_cp*( ((rF( K )/atm_po)**atm_kappa) |
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& -((rC( K )/atm_po)**atm_kappa) ) * 2. _d 0 |
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ddPIp=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
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& -((rC(Kp1)/atm_po)**atm_kappa) ) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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phiHyd(i,j,K) = |
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& ( ddPIm*max(zero,(hFacC(i,j,K,bi,bj)-one)*ratioRm+half) |
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& +ddPIp*min(zero, hFacC(i,j,K,bi,bj)*ratioRp -half) ) |
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& *(theta(i,j, K ,bi,bj)-tRef( K )) |
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& * maskC(i,j, K ,bi,bj) |
| 310 |
ENDDO |
| 311 |
ENDDO |
| 312 |
ELSE |
| 313 |
ratioRm=drF(K)*recip_drC(K) |
| 314 |
ratioRp=drF(K)*recip_drC(Kp1) |
| 315 |
ddPIm=atm_cp*( ((rC(K-1)/atm_po)**atm_kappa) |
| 316 |
& -((rC( K )/atm_po)**atm_kappa) ) |
| 317 |
ddPIp=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
| 318 |
& -((rC(Kp1)/atm_po)**atm_kappa) ) |
| 319 |
DO j=jMin,jMax |
| 320 |
DO i=iMin,iMax |
| 321 |
phiHyd(i,j,K) = phiHyd(i,j,K-1) |
| 322 |
& + ddPIm*0.5 |
| 323 |
& *(theta(i,j,K-1,bi,bj)-tRef(K-1)) |
| 324 |
& * maskC(i,j,K-1,bi,bj) |
| 325 |
& +(ddPIm*max(zero,(hFacC(i,j,K,bi,bj)-one)*ratioRm+half) |
| 326 |
& +ddPIp*min(zero, hFacC(i,j,K,bi,bj)*ratioRp -half) ) |
| 327 |
& *(theta(i,j, K ,bi,bj)-tRef( K )) |
| 328 |
& * maskC(i,j, K ,bi,bj) |
| 329 |
ENDDO |
| 330 |
ENDDO |
| 331 |
ENDIF |
| 332 |
C end: Finite Difference Form, with hFac, Interface_W = middle -- |
| 333 |
C----------------------------------------------------------------------- |
| 334 |
|
| 335 |
ELSE |
| 336 |
STOP 'CALC_PHI_HYD: Bad Integr_GeoPot option !' |
| 337 |
ENDIF |
| 338 |
|
| 339 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 340 |
ELSE |
| 341 |
STOP 'CALC_PHI_HYD: We should never reach this point!' |
| 342 |
ENDIF |
| 343 |
|
| 344 |
#endif /* INCLUDE_PHIHYD_CALCULATION_CODE */ |
| 345 |
|
| 346 |
RETURN |
| 347 |
END |
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