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C $Header: /u/gcmpack/models/MITgcmUV/model/src/calc_phi_hyd.F,v 1.8.2.2 2001/01/17 18:53:34 jmc Exp $ |
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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, phiHydInterface, |
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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 phiHyd. | |
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C | | |
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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 pressure/geopot. | |
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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 | phiHydInterface(i,j) is the hydrostatic pressure/geop. | |
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C | 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 pressure/geopot. | |
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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 | phiHydInterface(i,j) is the hydrostatic pressure/geop. | |
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C | at cell the interface k+1 (w point below)| |
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C | | |
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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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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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_RL phiHydInterface(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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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 |
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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 ddRm1, ddRp1, ddRm, ddRp |
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_RL atm_cp, atm_kappa, atm_po |
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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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phiHydInterface(i,j)=0. |
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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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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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Is this directive correct or even necessary in this new code? |
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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 phiHyd(i,j,k)=phiHydInterface(i,j)+ |
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c & 0.5*drF(K)*gravity*alphaRho(i,j) |
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c phiHydInterface(i,j)=phiHydInterface(i,j)+ |
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c & drF(K)*gravity*alphaRho(i,j) |
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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) |
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phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
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& 0.5*dRlocKp1*gravity*alphaRho(i,j) |
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C----------------------------------------------------------------------- |
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ENDDO |
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ENDDO |
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|
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ELSEIF ( buoyancyRelation .eq. 'ATMOSPHERIC' ) THEN |
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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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C *NOTE* These constants should be in the data file and PARAMS.h |
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atm_cp=1004. _d 0 |
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atm_kappa=2. _d 0/7. _d 0 |
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atm_po=1. _d 5 |
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IF (K.EQ.1) THEN |
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ddRp1=atm_cp*( ((rC(K)/atm_po)**atm_kappa) |
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& -((rF(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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ddRp=ddRp1 |
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IF (hFacC(I,J, K ,bi,bj).EQ.0.) ddRp=0. |
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C------------ The integration for the first level phi(k=1) is the |
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C same for both the "finite volume" and energy conserving |
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C methods. |
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C *NOTE* The geopotential boundary condition should go |
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C here but has not been implemented yet |
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phiHyd(i,j,K)=0. |
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& -ddRp*(theta(I,J,K,bi,bj)-tRef(K)) |
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C----------------------------------------------------------------------- |
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ENDDO |
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ENDDO |
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ELSE |
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|
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C-------- This discretization is the "finite volume" form which |
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C integrates the hydrostatic equation of each half/sub-layer. |
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C This seems most natural and could easily allow for lopped cells |
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C by replacing rF(K) with the height of the surface (not implemented). |
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C in the lower layers (e.g. at k=1). |
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C |
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c ddRm1=atm_cp*( ((rF( K )/atm_po)**atm_kappa) |
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c & -((rC(K-1)/atm_po)**atm_kappa) ) |
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c ddRp1=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
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c & -((rF( K )/atm_po)**atm_kappa) ) |
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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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ddRp1=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
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& -((rC(K-1)/atm_po)**atm_kappa) )*0.5 |
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ddRm1=ddRp1 |
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C----------------------------------------------------------------------- |
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|
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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ddRp=ddRp1 |
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ddRm=ddRm1 |
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IF (hFacC(I,J, K ,bi,bj).EQ.0.) ddRp=0. |
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IF (hFacC(I,J,K-1,bi,bj).EQ.0.) ddRm=0. |
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phiHyd(i,j,K)=phiHyd(i,j,K-1) |
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& -( ddRm*(theta(I,J,K-1,bi,bj)-tRef(K-1)) |
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& +ddRp*(theta(I,J, K ,bi,bj)-tRef( K )) ) |
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C Old code bug looked like this |
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Cold phiHyd(i,j,K)=phiHyd(i,j,K-1)-(ddRm1* |
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Cold & (theta(I,J,K-1,bi,bj)+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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|
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ELSE |
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STOP 'CALC_PHI_HYD: We should never reach this point!' |
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ENDIF |
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|
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#endif |
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|
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return |
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end |
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