C $Header: /u/gcmpack/MITgcm/model/src/calc_phi_hyd.F,v 1.47 2016/03/10 20:55:56 jmc Exp $ C $Name: $ #include "PACKAGES_CONFIG.h" #include "CPP_OPTIONS.h" #ifdef ALLOW_AUTODIFF # include "AUTODIFF_OPTIONS.h" #endif CBOP C !ROUTINE: CALC_PHI_HYD C !INTERFACE: SUBROUTINE CALC_PHI_HYD( I bi, bj, iMin, iMax, jMin, jMax, k, I tFld, sFld, U phiHydF, O phiHydC, dPhiHydX, dPhiHydY, I myTime, myIter, myThid ) C !DESCRIPTION: \bv C *==========================================================* C | SUBROUTINE CALC_PHI_HYD | C | o Integrate the hydrostatic relation to find the Hydros. | C *==========================================================* C | Potential (ocean: Pressure/rho ; atmos = geopotential) C | On entry: C | tFld,sFld are the current thermodynamics quantities C | (unchanged on exit) C | phiHydF(i,j) is the hydrostatic Potential anomaly C | at middle between tracer points k-1,k C | On exit: C | phiHydC(i,j) is the hydrostatic Potential anomaly C | at cell centers (tracer points), level k C | phiHydF(i,j) is the hydrostatic Potential anomaly C | at middle between tracer points k,k+1 C | dPhiHydX,Y hydrostatic Potential gradient (X&Y dir) C | at cell centers (tracer points), level k C | integr_GeoPot allows to select one integration method C | 1= Finite volume form ; else= Finite difference form C *==========================================================* C \ev C !USES: IMPLICIT NONE C == Global variables == #include "SIZE.h" #include "GRID.h" #include "EEPARAMS.h" #include "PARAMS.h" #ifdef ALLOW_AUTODIFF #include "tamc.h" #include "tamc_keys.h" #endif /* ALLOW_AUTODIFF */ #include "SURFACE.h" #include "DYNVARS.h" C !INPUT/OUTPUT PARAMETERS: C == Routine arguments == C bi, bj, k :: tile and level indices C iMin,iMax,jMin,jMax :: computational domain C tFld :: potential temperature C sFld :: salinity C phiHydF :: hydrostatic potential anomaly at middle between C 2 centers (entry: Interf_k ; output: Interf_k+1) C phiHydC :: hydrostatic potential anomaly at cell center C dPhiHydX,Y :: gradient (X & Y dir.) of hydrostatic potential anom. C myTime :: current time C myIter :: current iteration number C myThid :: thread number for this instance of the routine. INTEGER bi,bj,iMin,iMax,jMin,jMax,k _RL tFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) _RL sFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) _RL phiHydF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL phiHydC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL dPhiHydX(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL dPhiHydY(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL myTime INTEGER myIter, myThid #ifdef INCLUDE_PHIHYD_CALCULATION_CODE C !LOCAL VARIABLES: C == Local variables == C phiHydU :: hydrostatic potential anomaly at interface k+1 (Upper k) C pKappaF :: (p/Po)^kappa at interface k C pKappaU :: (p/Po)^kappa at interface k+1 (Upper k) C pKappaC :: (p/Po)^kappa at cell center k INTEGER i,j _RL alphaRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) #ifndef DISABLE_SIGMA_CODE _RL phiHydU (1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL pKappaF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL pKappaU (1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL pKappaC, locDepth, fullDepth #endif /* DISABLE_SIGMA_CODE */ _RL thetaRef, locAlpha _RL dRlocM,dRlocP, ddRloc _RL ddPIm, ddPIp, rec_dRm, rec_dRp _RL surfPhiFac LOGICAL useDiagPhiRlow, addSurfPhiAnom LOGICAL useFVgradPhi CEOP useDiagPhiRlow = .TRUE. addSurfPhiAnom = select_rStar.EQ.0 .AND. nonlinFreeSurf.GE.4 useFVgradPhi = selectSigmaCoord.NE.0 surfPhiFac = 0. IF (addSurfPhiAnom) surfPhiFac = 1. C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| C Atmosphere: C integr_GeoPot => select one option for the integration of the Geopotential: C = 0 : Energy Conserving Form, accurate with Topo full cell; C = 1 : Finite Volume Form, with Part-Cell, linear in P by Half level; C =2,3: Finite Difference Form, with Part-Cell, C linear in P between 2 Tracer levels. C can handle both cases: Tracer lev at the middle of InterFace_W C and InterFace_W at the middle of Tracer lev; C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| #ifdef ALLOW_AUTODIFF_TAMC act1 = bi - myBxLo(myThid) max1 = myBxHi(myThid) - myBxLo(myThid) + 1 act2 = bj - myByLo(myThid) max2 = myByHi(myThid) - myByLo(myThid) + 1 act3 = myThid - 1 max3 = nTx*nTy act4 = ikey_dynamics - 1 ikey = (act1 + 1) + act2*max1 & + act3*max1*max2 & + act4*max1*max2*max3 #endif /* ALLOW_AUTODIFF_TAMC */ C-- Initialize phiHydF to zero : C note: atmospheric_loading or Phi_topo anomaly are incorporated C later in S/R calc_grad_phi_hyd IF (k.EQ.1) THEN DO j=1-OLy,sNy+OLy DO i=1-OLx,sNx+OLx phiHydF(i,j) = 0. ENDDO ENDDO ENDIF C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| IF ( buoyancyRelation .EQ. 'OCEANIC' ) THEN C This is the hydrostatic pressure calculation for the Ocean C which uses the FIND_RHO() routine to calculate density C before integrating g*rho over the current layer/interface #ifdef ALLOW_AUTODIFF_TAMC CADJ GENERAL #endif /* ALLOW_AUTODIFF_TAMC */ IF ( implicitIntGravWave .OR. myIter.LT.0 ) THEN C--- Calculate density #ifdef ALLOW_AUTODIFF_TAMC kkey = (ikey-1)*Nr + k CADJ STORE tFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte, CADJ & kind = isbyte CADJ STORE sFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte, CADJ & kind = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ CALL FIND_RHO_2D( I iMin, iMax, jMin, jMax, k, I tFld(1-OLx,1-OLy,k,bi,bj), I sFld(1-OLx,1-OLy,k,bi,bj), O alphaRho, I k, bi, bj, myThid ) ELSE DO j=jMin,jMax DO i=iMin,iMax alphaRho(i,j) = rhoInSitu(i,j,k,bi,bj) ENDDO ENDDO ENDIF #ifdef ALLOW_SHELFICE C mask rho, so that there is no contribution of phiHyd from C overlying shelfice (whose density we do not know) IF ( useShelfIce .AND. useDOWN_SLOPE ) THEN C- note: does not work for down_slope pkg which needs rho below the bottom. C setting rho=0 above the ice-shelf base is enough (and works in both cases) C but might be slower (--> keep original masking if not using down_slope pkg) DO j=jMin,jMax DO i=iMin,iMax IF ( k.LT.kSurfC(i,j,bi,bj) ) alphaRho(i,j) = 0. _d 0 ENDDO ENDDO ELSEIF ( useShelfIce ) THEN DO j=jMin,jMax DO i=iMin,iMax alphaRho(i,j) = alphaRho(i,j)*maskC(i,j,k,bi,bj) ENDDO ENDDO ENDIF #endif /* ALLOW_SHELFICE */ #ifdef ALLOW_MOM_COMMON C-- Quasi-hydrostatic terms are added in as if they modify the buoyancy IF (quasiHydrostatic) THEN CALL MOM_QUASIHYDROSTATIC(bi,bj,k,uVel,vVel,alphaRho,myThid) ENDIF #endif /* ALLOW_MOM_COMMON */ #ifdef NONLIN_FRSURF IF ( addSurfPhiAnom .AND. & uniformFreeSurfLev .AND. k.EQ.1 ) THEN DO j=jMin,jMax DO i=iMin,iMax phiHydF(i,j) = surfPhiFac*etaH(i,j,bi,bj) & *gravity*alphaRho(i,j)*recip_rhoConst ENDDO ENDDO ENDIF #endif /* NONLIN_FRSURF */ C---- Hydrostatic pressure at cell centers IF (integr_GeoPot.EQ.1) THEN C -- Finite Volume Form C---------- This discretization is the "finite volume" form C which has not been used to date since it does not C conserve KE+PE exactly even though it is more natural IF ( uniformFreeSurfLev ) THEN DO j=jMin,jMax DO i=iMin,iMax phiHydC(i,j) = phiHydF(i,j) & + halfRL*drF(k)*gravFacC(k)*gravity & *alphaRho(i,j)*recip_rhoConst phiHydF(i,j) = phiHydF(i,j) & + drF(k)*gravFacC(k)*gravity & *alphaRho(i,j)*recip_rhoConst ENDDO ENDDO ELSE DO j=jMin,jMax DO i=iMin,iMax IF (k.EQ.kSurfC(i,j,bi,bj)) THEN ddRloc = Ro_surf(i,j,bi,bj)-rC(k) #ifdef NONLIN_FRSURF ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) #endif phiHydC(i,j) = ddRloc*gravFacC(k)*gravity & *alphaRho(i,j)*recip_rhoConst ELSE phiHydC(i,j) = phiHydF(i,j) & + halfRL*drF(k)*gravFacC(k)*gravity & *alphaRho(i,j)*recip_rhoConst ENDIF phiHydF(i,j) = phiHydC(i,j) & + halfRL*drF(k)*gravFacC(k)*gravity & *alphaRho(i,j)*recip_rhoConst ENDDO ENDDO ENDIF ELSE C -- Finite Difference Form C---------- This discretization is the "energy conserving" form C which has been used since at least Adcroft et al., MWR 1997 dRlocM = halfRL*drC(k)*gravFacF(k) IF (k.EQ.1) dRlocM = (rF(k)-rC(k))*gravFacF(k) IF (k.EQ.Nr) THEN dRlocP = (rC(k)-rF(k+1))*gravFacF(k+1) ELSE dRlocP = halfRL*drC(k+1)*gravFacF(k+1) ENDIF IF ( uniformFreeSurfLev ) THEN DO j=jMin,jMax DO i=iMin,iMax phiHydC(i,j) = phiHydF(i,j) & + dRlocM*gravity*alphaRho(i,j)*recip_rhoConst phiHydF(i,j) = phiHydC(i,j) & + dRlocP*gravity*alphaRho(i,j)*recip_rhoConst ENDDO ENDDO ELSE rec_dRm = oneRL/(rF(k)-rC(k)) rec_dRp = oneRL/(rC(k)-rF(k+1)) DO j=jMin,jMax DO i=iMin,iMax IF (k.EQ.kSurfC(i,j,bi,bj)) THEN ddRloc = Ro_surf(i,j,bi,bj)-rC(k) #ifdef NONLIN_FRSURF ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) #endif phiHydC(i,j) =( MAX(zeroRL,ddRloc)*rec_dRm*dRlocM & +MIN(zeroRL,ddRloc)*rec_dRp*dRlocP & )*gravity*alphaRho(i,j)*recip_rhoConst ELSE phiHydC(i,j) = phiHydF(i,j) & + dRlocM*gravity*alphaRho(i,j)*recip_rhoConst ENDIF phiHydF(i,j) = phiHydC(i,j) & + dRlocP*gravity*alphaRho(i,j)*recip_rhoConst ENDDO ENDDO ENDIF C -- end if integr_GeoPot = ... ENDIF C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| ELSEIF ( buoyancyRelation .EQ. 'OCEANICP' ) THEN C This is the hydrostatic pressure calculation for the Ocean C which uses the FIND_RHO() routine to calculate density before C integrating (1/rho)_prime*dp over the current layer/interface #ifdef ALLOW_AUTODIFF_TAMC CADJ GENERAL #endif /* ALLOW_AUTODIFF_TAMC */ IF ( implicitIntGravWave .OR. myIter.LT.0 ) THEN C-- Calculate density #ifdef ALLOW_AUTODIFF_TAMC kkey = (ikey-1)*Nr + k CADJ STORE tFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte, CADJ & kind = isbyte CADJ STORE sFld (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte, CADJ & kind = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ CALL FIND_RHO_2D( I iMin, iMax, jMin, jMax, k, I tFld(1-OLx,1-OLy,k,bi,bj), I sFld(1-OLx,1-OLy,k,bi,bj), O alphaRho, I k, bi, bj, myThid ) #ifdef ALLOW_AUTODIFF_TAMC CADJ STORE alphaRho (:,:) = comlev1_bibj_k, key=kkey, byte=isbyte, CADJ & kind = isbyte #endif /* ALLOW_AUTODIFF_TAMC */ ELSE DO j=jMin,jMax DO i=iMin,iMax alphaRho(i,j) = rhoInSitu(i,j,k,bi,bj) ENDDO ENDDO ENDIF C-- Calculate specific volume anomaly : alpha_prime = 1/rho - alpha_Cst DO j=jMin,jMax DO i=iMin,iMax locAlpha=alphaRho(i,j)+rhoConst alphaRho(i,j)=maskC(i,j,k,bi,bj)* & (oneRL/locAlpha - recip_rhoConst) ENDDO ENDDO #ifdef ALLOW_MOM_COMMON C-- Quasi-hydrostatic terms are added as if they modify the specific-volume IF (quasiHydrostatic) THEN CALL MOM_QUASIHYDROSTATIC(bi,bj,k,uVel,vVel,alphaRho,myThid) ENDIF #endif /* ALLOW_MOM_COMMON */ C---- Hydrostatic pressure at cell centers IF (integr_GeoPot.EQ.1) THEN C -- Finite Volume Form DO j=jMin,jMax DO i=iMin,iMax C---------- This discretization is the "finite volume" form C which has not been used to date since it does not C conserve KE+PE exactly even though it is more natural IF (k.EQ.kSurfC(i,j,bi,bj)) THEN ddRloc = Ro_surf(i,j,bi,bj)-rC(k) #ifdef NONLIN_FRSURF ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) #endif phiHydC(i,j) = ddRloc*alphaRho(i,j) c--to reproduce results of c48d_post: uncomment those 4+1 lines c phiHydC(i,j)=phiHydF(i,j) c & +(hFacC(i,j,k,bi,bj)-halfRL)*drF(k)*alphaRho(i,j) c phiHydF(i,j)=phiHydF(i,j) c & + hFacC(i,j,k,bi,bj)*drF(k)*alphaRho(i,j) ELSE phiHydC(i,j) = phiHydF(i,j) + halfRL*drF(k)*alphaRho(i,j) c phiHydF(i,j) = phiHydF(i,j) + drF(k)*alphaRho(i,j) ENDIF c-- and comment this last one: phiHydF(i,j) = phiHydC(i,j) + halfRL*drF(k)*alphaRho(i,j) c----- ENDDO ENDDO ELSE C -- Finite Difference Form, with Part-Cell Bathy dRlocM = halfRL*drC(k) IF (k.EQ.1) dRlocM=rF(k)-rC(k) IF (k.EQ.Nr) THEN dRlocP=rC(k)-rF(k+1) ELSE dRlocP=halfRL*drC(k+1) ENDIF rec_dRm = oneRL/(rF(k)-rC(k)) rec_dRp = oneRL/(rC(k)-rF(k+1)) DO j=jMin,jMax DO i=iMin,iMax C---------- This discretization is the "energy conserving" form IF (k.EQ.kSurfC(i,j,bi,bj)) THEN ddRloc = Ro_surf(i,j,bi,bj)-rC(k) #ifdef NONLIN_FRSURF ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) #endif phiHydC(i,j) =( MAX(zeroRL,ddRloc)*rec_dRm*dRlocM & +MIN(zeroRL,ddRloc)*rec_dRp*dRlocP & )*alphaRho(i,j) ELSE phiHydC(i,j) = phiHydF(i,j) + dRlocM*alphaRho(i,j) ENDIF phiHydF(i,j) = phiHydC(i,j) + dRlocP*alphaRho(i,j) ENDDO ENDDO C -- end if integr_GeoPot = ... ENDIF ELSEIF ( buoyancyRelation .EQ. 'ATMOSPHERIC' ) THEN C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| C This is the hydrostatic geopotential calculation for the Atmosphere C The ideal gas law is used implicitly here rather than calculating C the specific volume, analogous to the oceanic case. IF ( implicitIntGravWave .OR. myIter.LT.0 ) THEN C-- virtual potential temperature anomaly (including water vapour effect) IF ( select_rStar.GE.1 .OR. selectSigmaCoord.GE.1 ) THEN C- isothermal (theta=const) reference state thetaRef = thetaConst ELSE C- horizontally uniform (tRef) reference state thetaRef = tRef(k) ENDIF DO j=jMin,jMax DO i=iMin,iMax alphaRho(i,j) = ( tFld(i,j,k,bi,bj) & *( sFld(i,j,k,bi,bj)*atm_Rq + oneRL ) & - thetaRef )*maskC(i,j,k,bi,bj) ENDDO ENDDO ELSE DO j=jMin,jMax DO i=iMin,iMax alphaRho(i,j) = rhoInSitu(i,j,k,bi,bj) ENDDO ENDDO ENDIF #ifdef ALLOW_MOM_COMMON C-- Quasi-hydrostatic terms are added in as if they modify the Pot.Temp IF (quasiHydrostatic) THEN CALL MOM_QUASIHYDROSTATIC(bi,bj,k,uVel,vVel,alphaRho,myThid) ENDIF #endif /* ALLOW_MOM_COMMON */ C--- Integrate d Phi / d pi #ifndef DISABLE_SIGMA_CODE C -- Finite Volume Form, integrated to r-level (cell center & upper interface) IF ( useFVgradPhi ) THEN fullDepth = rF(1)-rF(Nr+1) DO j=jMin,jMax DO i=iMin,iMax locDepth = Ro_surf(i,j,bi,bj) - R_low(i,j,bi,bj) #ifdef NONLIN_FRSURF locDepth = locDepth + surfPhiFac*etaH(i,j,bi,bj) #endif pKappaF(i,j) = ( & ( R_low(i,j,bi,bj) + aHybSigmF( k )*fullDepth & + bHybSigmF( k )*locDepth & )/atm_Po )**atm_kappa pKappaC = ( & ( R_low(i,j,bi,bj) + aHybSigmC( k )*fullDepth & + bHybSigmC( k )*locDepth & )/atm_Po )**atm_kappa pKappaU(i,j) = ( & ( R_low(i,j,bi,bj)+ aHybSigmF(k+1)*fullDepth & + bHybSigmF(k+1)*locDepth & )/atm_Po )**atm_kappa phiHydC(i,j) = phiHydF(i,j) & + atm_Cp*( pKappaF(i,j) - pKappaC )*alphaRho(i,j) phiHydU(i,j) = phiHydF(i,j) & + atm_Cp*( pKappaF(i,j) - pKappaU(i,j) )*alphaRho(i,j) ENDDO ENDDO C end: Finite Volume Form, integrated to r-level. ELSEIF (integr_GeoPot.EQ.0) THEN #else /* DISABLE_SIGMA_CODE */ IF (integr_GeoPot.EQ.0) THEN #endif /* DISABLE_SIGMA_CODE */ C -- Energy Conserving Form, accurate with Full cell topo -- C------------ The integration for the first level phi(k=1) is the same C for both the "finite volume" and energy conserving methods. C *NOTE* o Working with geopotential Anomaly, the geopotential boundary C condition is simply Phi-prime(Ro_surf)=0. C o convention ddPI > 0 (same as drF & drC) C----------------------------------------------------------------------- IF (k.EQ.1) THEN ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) & -((rC( k )/atm_Po)**atm_kappa) ) ELSE ddPIm=atm_Cp*( ((rC(k-1)/atm_Po)**atm_kappa) & -((rC( k )/atm_Po)**atm_kappa) )*halfRL ENDIF IF (k.EQ.Nr) THEN ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) & -((rF(k+1)/atm_Po)**atm_kappa) ) ELSE ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) & -((rC(k+1)/atm_Po)**atm_kappa) )*halfRL ENDIF C-------- This discretization is the energy conserving form DO j=jMin,jMax DO i=iMin,iMax phiHydC(i,j) = phiHydF(i,j) +ddPIm*alphaRho(i,j) phiHydF(i,j) = phiHydC(i,j) +ddPIp*alphaRho(i,j) ENDDO ENDDO C end: Energy Conserving Form, No hFac -- C----------------------------------------------------------------------- ELSEIF (integr_GeoPot.EQ.1) THEN C -- Finite Volume Form, with Part-Cell Topo, linear in P by Half level C--------- C Finite Volume formulation consistent with Partial Cell, linear in p by piece C Note: a true Finite Volume form should be linear between 2 Interf_W : C phi_C = (phi_W_k+ phi_W_k+1)/2 ; but not accurate in Stratosphere (low p) C also: if Interface_W at the middle between tracer levels, this form C is close to the Energy Cons. form in the Interior, except for the C non-linearity in PI(p) C--------- ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) & -((rC( k )/atm_Po)**atm_kappa) ) ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) & -((rF(k+1)/atm_Po)**atm_kappa) ) DO j=jMin,jMax DO i=iMin,iMax IF (k.EQ.kSurfC(i,j,bi,bj)) THEN ddRloc = Ro_surf(i,j,bi,bj)-rC(k) #ifdef NONLIN_FRSURF ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) #endif phiHydC(i,j) = ddRloc*recip_drF(k)*2. _d 0 & *ddPIm*alphaRho(i,j) ELSE phiHydC(i,j) = phiHydF(i,j) +ddPIm*alphaRho(i,j) ENDIF phiHydF(i,j) = phiHydC(i,j) +ddPIp*alphaRho(i,j) ENDDO ENDDO C end: Finite Volume Form, with Part-Cell Topo, linear in P by Half level C----------------------------------------------------------------------- ELSEIF ( integr_GeoPot.EQ.2 & .OR. integr_GeoPot.EQ.3 ) THEN C -- Finite Difference Form, with Part-Cell Topo, C works with Interface_W at the middle between 2.Tracer_Level C and with Tracer_Level at the middle between 2.Interface_W. C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| C Finite Difference formulation consistent with Partial Cell, C Valid & accurate if Interface_W at middle between tracer levels C linear in p between 2 Tracer levels ; conserve energy in the Interior C--------- IF (k.EQ.1) THEN ddPIm=atm_Cp*( ((rF( k )/atm_Po)**atm_kappa) & -((rC( k )/atm_Po)**atm_kappa) ) ELSE ddPIm=atm_Cp*( ((rC(k-1)/atm_Po)**atm_kappa) & -((rC( k )/atm_Po)**atm_kappa) )*halfRL ENDIF IF (k.EQ.Nr) THEN ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) & -((rF(k+1)/atm_Po)**atm_kappa) ) ELSE ddPIp=atm_Cp*( ((rC( k )/atm_Po)**atm_kappa) & -((rC(k+1)/atm_Po)**atm_kappa) )*halfRL ENDIF rec_dRm = oneRL/(rF(k)-rC(k)) rec_dRp = oneRL/(rC(k)-rF(k+1)) DO j=jMin,jMax DO i=iMin,iMax IF (k.EQ.kSurfC(i,j,bi,bj)) THEN ddRloc = Ro_surf(i,j,bi,bj)-rC(k) #ifdef NONLIN_FRSURF ddRloc = ddRloc + surfPhiFac*etaH(i,j,bi,bj) #endif phiHydC(i,j) =( MAX(zeroRL,ddRloc)*rec_dRm*ddPIm & +MIN(zeroRL,ddRloc)*rec_dRp*ddPIp & )*alphaRho(i,j) ELSE phiHydC(i,j) = phiHydF(i,j) +ddPIm*alphaRho(i,j) ENDIF phiHydF(i,j) = phiHydC(i,j) +ddPIp*alphaRho(i,j) ENDDO ENDDO C end: Finite Difference Form, with Part-Cell Topo C----------------------------------------------------------------------- ELSE STOP 'CALC_PHI_HYD: Bad integr_GeoPot option !' ENDIF C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| ELSE STOP 'CALC_PHI_HYD: Bad value of buoyancyRelation !' ENDIF IF ( .NOT. useFVgradPhi ) THEN C-- r-coordinate and r*-coordinate cases: IF ( momPressureForcing ) THEN CALL CALC_GRAD_PHI_HYD( I k, bi, bj, iMin,iMax, jMin,jMax, I phiHydC, alphaRho, tFld, sFld, O dPhiHydX, dPhiHydY, I myTime, myIter, myThid) ENDIF #ifndef DISABLE_SIGMA_CODE ELSE C-- else (SigmaCoords part) IF ( fluidIsWater ) THEN STOP 'CALC_PHI_HYD: missing code for SigmaCoord' ENDIF IF ( momPressureForcing ) THEN CALL CALC_GRAD_PHI_FV( I k, bi, bj, iMin,iMax, jMin,jMax, I phiHydF, phiHydU, pKappaF, pKappaU, O dPhiHydX, dPhiHydY, I myTime, myIter, myThid) ENDIF DO j=jMin,jMax DO i=iMin,iMax phiHydF(i,j) = phiHydU(i,j) ENDDO ENDDO #endif /* DISABLE_SIGMA_CODE */ C-- end if-not/else useFVgradPhi ENDIF C--- Diagnose Phi at boundary r=R_low : C = Ocean bottom pressure (Ocean, Z-coord.) C = Sea-surface height (Ocean, P-coord.) C = Top atmosphere height (Atmos, P-coord.) IF (useDiagPhiRlow) THEN CALL DIAGS_PHI_RLOW( I k, bi, bj, iMin,iMax, jMin,jMax, I phiHydF, phiHydC, alphaRho, tFld, sFld, I myTime, myIter, myThid) ENDIF C--- Diagnose Full Hydrostatic Potential at cell center level CALL DIAGS_PHI_HYD( I k, bi, bj, iMin,iMax, jMin,jMax, I phiHydC, I myTime, myIter, myThid) #endif /* INCLUDE_PHIHYD_CALCULATION_CODE */ RETURN END