| 1 |
jmc |
1.14 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/calc_phi_hyd.F,v 1.13 2001/05/14 21:51:24 heimbach Exp $ |
| 2 |
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C $Name: $ |
| 3 |
cnh |
1.1 |
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| 4 |
cnh |
1.6 |
#include "CPP_OPTIONS.h" |
| 5 |
cnh |
1.1 |
|
| 6 |
adcroft |
1.9 |
SUBROUTINE CALC_PHI_HYD( |
| 7 |
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I bi, bj, iMin, iMax, jMin, jMax, K, |
| 8 |
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I theta, salt, |
| 9 |
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U phiHyd, |
| 10 |
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I myThid) |
| 11 |
cnh |
1.1 |
C /==========================================================\ |
| 12 |
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C | SUBROUTINE CALC_PHI_HYD | |
| 13 |
jmc |
1.11 |
C | o Integrate the hydrostatic relation to find the Hydros. | |
| 14 |
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C | Potential (ocean: Pressure/rho ; atmos = geopotential)| |
| 15 |
adcroft |
1.9 |
C | On entry: | |
| 16 |
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C | theta,salt are the current thermodynamics quantities| |
| 17 |
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C | (unchanged on exit) | |
| 18 |
jmc |
1.11 |
C | phiHyd(i,j,1:k-1) is the hydrostatic Potential | |
| 19 |
adcroft |
1.9 |
C | at cell centers (tracer points) | |
| 20 |
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C | - 1:k-1 layers are valid | |
| 21 |
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C | - k:Nr layers are invalid | |
| 22 |
jmc |
1.11 |
C | phiHyd(i,j,k) is the hydrostatic Potential | |
| 23 |
jmc |
1.14 |
C | (ocean only_^) at cell the interface k (w point above) | |
| 24 |
adcroft |
1.9 |
C | On exit: | |
| 25 |
jmc |
1.11 |
C | phiHyd(i,j,1:k) is the hydrostatic Potential | |
| 26 |
adcroft |
1.9 |
C | at cell centers (tracer points) | |
| 27 |
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C | - 1:k layers are valid | |
| 28 |
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C | - k+1:Nr layers are invalid | |
| 29 |
jmc |
1.11 |
C | phiHyd(i,j,k+1) is the hydrostatic Potential (P/rho) | |
| 30 |
jmc |
1.14 |
C | (ocean only-^) at cell the interface k+1 (w point below)| |
| 31 |
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C | Atmosphere: | |
| 32 |
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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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cnh |
1.1 |
C \==========================================================/ |
| 35 |
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IMPLICIT NONE |
| 36 |
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C == Global variables == |
| 37 |
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#include "SIZE.h" |
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#include "GRID.h" |
| 39 |
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#include "EEPARAMS.h" |
| 40 |
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#include "PARAMS.h" |
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heimbach |
1.13 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 42 |
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#include "tamc.h" |
| 43 |
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#include "tamc_keys.h" |
| 44 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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cnh |
1.1 |
C == Routine arguments == |
| 47 |
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INTEGER bi,bj,iMin,iMax,jMin,jMax,K |
| 48 |
adcroft |
1.9 |
_RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 49 |
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_RL salt(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 50 |
cnh |
1.2 |
_RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 51 |
adcroft |
1.9 |
INTEGER myThid |
| 52 |
jmc |
1.14 |
|
| 53 |
adcroft |
1.9 |
#ifdef INCLUDE_PHIHYD_CALCULATION_CODE |
| 54 |
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cnh |
1.1 |
C == Local variables == |
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jmc |
1.14 |
INTEGER i,j, Kp1 |
| 57 |
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_RL zero, one, half |
| 58 |
adcroft |
1.9 |
_RL alphaRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 59 |
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_RL dRloc,dRlocKp1 |
| 60 |
jmc |
1.14 |
_RL ddPI, ddPIm, ddPIp, ratioRp, ratioRm |
| 61 |
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zero = 0. _d 0 |
| 63 |
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one = 1. _d 0 |
| 64 |
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half = .5 _d 0 |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C Atmosphere: |
| 68 |
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C Integr_GeoPot => select one option for the integration of the Geopotential: |
| 69 |
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C = 0 : Energy Conserving Form, No hFac ; |
| 70 |
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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-|--+----| |
| 75 |
adcroft |
1.9 |
|
| 76 |
heimbach |
1.13 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 77 |
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act1 = bi - myBxLo(myThid) |
| 78 |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
| 79 |
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| 80 |
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act2 = bj - myByLo(myThid) |
| 81 |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
| 82 |
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| 83 |
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act3 = myThid - 1 |
| 84 |
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max3 = nTx*nTy |
| 85 |
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| 86 |
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act4 = ikey_dynamics - 1 |
| 87 |
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| 88 |
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ikey = (act1 + 1) + act2*max1 |
| 89 |
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& + act3*max1*max2 |
| 90 |
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& + act4*max1*max2*max3 |
| 91 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
| 92 |
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| 93 |
adcroft |
1.9 |
IF ( buoyancyRelation .eq. 'OCEANIC' ) THEN |
| 94 |
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C This is the hydrostatic pressure calculation for the Ocean |
| 95 |
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C which uses the FIND_RHO() routine to calculate density |
| 96 |
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C before integrating g*rho over the current layer/interface |
| 97 |
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| 98 |
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dRloc=drC(k) |
| 99 |
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IF (k.EQ.1) dRloc=drF(1) |
| 100 |
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IF (k.EQ.Nr) THEN |
| 101 |
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dRlocKp1=0. |
| 102 |
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ELSE |
| 103 |
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dRlocKp1=drC(k+1) |
| 104 |
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ENDIF |
| 105 |
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| 106 |
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C-- If this is the top layer we impose the boundary condition |
| 107 |
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C P(z=eta) = P(atmospheric_loading) |
| 108 |
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IF (k.EQ.1) THEN |
| 109 |
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DO j=jMin,jMax |
| 110 |
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DO i=iMin,iMax |
| 111 |
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C *NOTE* The loading should go here but has not been implemented yet |
| 112 |
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phiHyd(i,j,k)=0. |
| 113 |
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ENDDO |
| 114 |
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ENDDO |
| 115 |
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ENDIF |
| 116 |
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| 117 |
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C Calculate density |
| 118 |
heimbach |
1.13 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 119 |
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kkey = (ikey-1)*Nr + k |
| 120 |
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CADJ STORE theta(:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 121 |
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CADJ STORE salt (:,:,k,bi,bj) = comlev1_bibj_k, key=kkey, byte=isbyte |
| 122 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
| 123 |
adcroft |
1.9 |
CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, k, eosType, |
| 124 |
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& theta, salt, |
| 125 |
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& alphaRho, myThid) |
| 126 |
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| 127 |
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C Hydrostatic pressure at cell centers |
| 128 |
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DO j=jMin,jMax |
| 129 |
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DO i=iMin,iMax |
| 130 |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 131 |
jmc |
1.14 |
c Patrick, is this directive correct or even necessary in |
| 132 |
heimbach |
1.13 |
c this new code? |
| 133 |
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c Yes, because of phiHyd(i,j,k+1)=phiHyd(i,j,k)+... |
| 134 |
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c within the k-loop. |
| 135 |
adcroft |
1.9 |
CADJ GENERAL |
| 136 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
| 137 |
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| 138 |
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C---------- This discretization is the "finite volume" form |
| 139 |
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C which has not been used to date since it does not |
| 140 |
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C conserve KE+PE exactly even though it is more natural |
| 141 |
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C |
| 142 |
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c IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
| 143 |
jmc |
1.11 |
c & drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
| 144 |
adcroft |
1.9 |
c phiHyd(i,j,k)=phiHyd(i,j,k)+ |
| 145 |
jmc |
1.11 |
c & 0.5*drF(K)*gravity*alphaRho(i,j)*recip_rhoConst |
| 146 |
adcroft |
1.9 |
C----------------------------------------------------------------------- |
| 147 |
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| 148 |
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C---------- This discretization is the "energy conserving" form |
| 149 |
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C which has been used since at least Adcroft et al., MWR 1997 |
| 150 |
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C |
| 151 |
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phiHyd(i,j,k)=phiHyd(i,j,k)+ |
| 152 |
jmc |
1.11 |
& 0.5*dRloc*gravity*alphaRho(i,j)*recip_rhoConst |
| 153 |
adcroft |
1.9 |
IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
| 154 |
jmc |
1.11 |
& 0.5*dRlocKp1*gravity*alphaRho(i,j)*recip_rhoConst |
| 155 |
adcroft |
1.9 |
C----------------------------------------------------------------------- |
| 156 |
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ENDDO |
| 157 |
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ENDDO |
| 158 |
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| 159 |
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| 160 |
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| 161 |
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ELSEIF ( buoyancyRelation .eq. 'ATMOSPHERIC' ) THEN |
| 162 |
jmc |
1.14 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 163 |
adcroft |
1.9 |
C This is the hydrostatic geopotential calculation for the Atmosphere |
| 164 |
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C The ideal gas law is used implicitly here rather than calculating |
| 165 |
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C the specific volume, analogous to the oceanic case. |
| 166 |
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| 167 |
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C Integrate d Phi / d pi |
| 168 |
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| 169 |
jmc |
1.14 |
IF (Integr_GeoPot.EQ.0) THEN |
| 170 |
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C -- Energy Conserving Form, No hFac -- |
| 171 |
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C------------ The integration for the first level phi(k=1) is the same |
| 172 |
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C for both the "finite volume" and energy conserving methods. |
| 173 |
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C *NOTE* o Working with geopotential Anomaly, the geopotential boundary |
| 174 |
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C condition is simply Phi'(Ro_surf)=0. |
| 175 |
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C o convention ddPI > 0 (same as drF & drC) |
| 176 |
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C----------------------------------------------------------------------- |
| 177 |
adcroft |
1.9 |
IF (K.EQ.1) THEN |
| 178 |
jmc |
1.14 |
ddPIp=atm_cp*( ((rF(K)/atm_po)**atm_kappa) |
| 179 |
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& -((rC(K)/atm_po)**atm_kappa) ) |
| 180 |
adcroft |
1.9 |
DO j=jMin,jMax |
| 181 |
jmc |
1.14 |
DO i=iMin,iMax |
| 182 |
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phiHyd(i,j,K)= |
| 183 |
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& ddPIp*maskC(i,j,K,bi,bj) |
| 184 |
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& *(theta(I,J,K,bi,bj)-tRef(K)) |
| 185 |
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ENDDO |
| 186 |
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ENDDO |
| 187 |
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ELSE |
| 188 |
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C-------- This discretization is the energy conserving form |
| 189 |
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ddPI=atm_cp*( ((rC(K-1)/atm_po)**atm_kappa) |
| 190 |
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& -((rC( K )/atm_po)**atm_kappa) )*0.5 |
| 191 |
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DO j=jMin,jMax |
| 192 |
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DO i=iMin,iMax |
| 193 |
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phiHyd(i,j,K)=phiHyd(i,j,K-1) |
| 194 |
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& +ddPI*maskC(i,j,K-1,bi,bj) |
| 195 |
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& *(theta(I,J,K-1,bi,bj)-tRef(K-1)) |
| 196 |
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& +ddPI*maskC(i,j, K ,bi,bj) |
| 197 |
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& *(theta(I,J, K ,bi,bj)-tRef( K )) |
| 198 |
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C Old code (atmos-exact) looked like this |
| 199 |
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Cold phiHyd(i,j,K)=phiHyd(i,j,K-1) - ddPI* |
| 200 |
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Cold & (theta(I,J,K-1,bi,bj)+theta(I,J,K,bi,bj)-2.*tRef(K)) |
| 201 |
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ENDDO |
| 202 |
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ENDDO |
| 203 |
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ENDIF |
| 204 |
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C end: Energy Conserving Form, No hFac -- |
| 205 |
adcroft |
1.9 |
C----------------------------------------------------------------------- |
| 206 |
jmc |
1.14 |
|
| 207 |
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ELSEIF (Integr_GeoPot.EQ.1) THEN |
| 208 |
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C -- Finite Volume Form, with hFac, linear in P by Half level -- |
| 209 |
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C--------- |
| 210 |
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C Finite Volume formulation consistent with Partial Cell, linear in p by piece |
| 211 |
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C Note: a true Finite Volume form should be linear between 2 Interf_W : |
| 212 |
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C phi_C = (phi_W_k+ phi_W_k+1)/2 ; but not accurate in Stratosphere (low p) |
| 213 |
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C also: if Interface_W at the middle between tracer levels, this form |
| 214 |
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C is close to the Energy Cons. form in the Interior, except for the |
| 215 |
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C non-linearity in PI(p) |
| 216 |
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C--------- |
| 217 |
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IF (K.EQ.1) THEN |
| 218 |
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ddPIp=atm_cp*( ((rF(K)/atm_po)**atm_kappa) |
| 219 |
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& -((rC(K)/atm_po)**atm_kappa) ) |
| 220 |
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DO j=jMin,jMax |
| 221 |
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DO i=iMin,iMax |
| 222 |
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phiHyd(i,j,K) = |
| 223 |
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& ddPIp*hFacC(I,J, K ,bi,bj) |
| 224 |
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& *(theta(I,J, K ,bi,bj)-tRef( K )) |
| 225 |
adcroft |
1.9 |
ENDDO |
| 226 |
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ENDDO |
| 227 |
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ELSE |
| 228 |
jmc |
1.14 |
ddPIm=atm_cp*( ((rC(K-1)/atm_po)**atm_kappa) |
| 229 |
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& -((rF( K )/atm_po)**atm_kappa) ) |
| 230 |
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ddPIp=atm_cp*( ((rF( K )/atm_po)**atm_kappa) |
| 231 |
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& -((rC( K )/atm_po)**atm_kappa) ) |
| 232 |
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DO j=jMin,jMax |
| 233 |
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DO i=iMin,iMax |
| 234 |
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phiHyd(i,j,K) = phiHyd(i,j,K-1) |
| 235 |
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& +ddPIm*hFacC(I,J,K-1,bi,bj) |
| 236 |
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& *(theta(I,J,K-1,bi,bj)-tRef(K-1)) |
| 237 |
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& +ddPIp*hFacC(I,J, K ,bi,bj) |
| 238 |
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& *(theta(I,J, K ,bi,bj)-tRef( K )) |
| 239 |
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ENDDO |
| 240 |
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ENDDO |
| 241 |
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ENDIF |
| 242 |
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C end: Finite Volume Form, with hFac, linear in P by Half level -- |
| 243 |
adcroft |
1.9 |
C----------------------------------------------------------------------- |
| 244 |
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| 245 |
jmc |
1.14 |
ELSEIF (Integr_GeoPot.EQ.2) THEN |
| 246 |
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C -- Finite Difference Form, with hFac, Tracer Lev. = middle -- |
| 247 |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 248 |
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C Finite Difference formulation consistent with Partial Cell, |
| 249 |
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C case Tracer level at the middle of InterFace_W |
| 250 |
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C linear between 2 Tracer levels ; conserve energy in the Interior |
| 251 |
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C--------- |
| 252 |
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Kp1 = min(Nr,K+1) |
| 253 |
|
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IF (K.EQ.1) THEN |
| 254 |
|
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ddPIm=atm_cp*( ((rF( K )/atm_po)**atm_kappa) |
| 255 |
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& -((rC( K )/atm_po)**atm_kappa) ) * 2. _d 0 |
| 256 |
|
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ddPIp=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
| 257 |
|
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& -((rC(Kp1)/atm_po)**atm_kappa) ) |
| 258 |
|
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DO j=jMin,jMax |
| 259 |
|
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DO i=iMin,iMax |
| 260 |
|
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phiHyd(i,j,K) = |
| 261 |
|
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& ( ddPIm*max(zero, hFacC(i,j,K,bi,bj)-half) |
| 262 |
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& +ddPIp*min(zero, hFacC(i,j,K,bi,bj)-half) ) |
| 263 |
|
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& *(theta(i,j, K ,bi,bj)-tRef( K )) |
| 264 |
|
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& * maskC(i,j, K ,bi,bj) |
| 265 |
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ENDDO |
| 266 |
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ENDDO |
| 267 |
|
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ELSE |
| 268 |
|
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ddPIm=atm_cp*( ((rC(K-1)/atm_po)**atm_kappa) |
| 269 |
|
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& -((rC( K )/atm_po)**atm_kappa) ) |
| 270 |
|
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ddPIp=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
| 271 |
|
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& -((rC(Kp1)/atm_po)**atm_kappa) ) |
| 272 |
|
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DO j=jMin,jMax |
| 273 |
|
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DO i=iMin,iMax |
| 274 |
|
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phiHyd(i,j,K) = phiHyd(i,j,K-1) |
| 275 |
|
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& + ddPIm*0.5 |
| 276 |
|
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& *(theta(i,j,K-1,bi,bj)-tRef(K-1)) |
| 277 |
|
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& * maskC(i,j,K-1,bi,bj) |
| 278 |
|
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& +(ddPIm*max(zero, hFacC(i,j,K,bi,bj)-half) |
| 279 |
|
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& +ddPIp*min(zero, hFacC(i,j,K,bi,bj)-half) ) |
| 280 |
|
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& *(theta(i,j, K ,bi,bj)-tRef( K )) |
| 281 |
|
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& * maskC(i,j, K ,bi,bj) |
| 282 |
|
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ENDDO |
| 283 |
|
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ENDDO |
| 284 |
|
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ENDIF |
| 285 |
|
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C end: Finite Difference Form, with hFac, Tracer Lev. = middle -- |
| 286 |
adcroft |
1.9 |
C----------------------------------------------------------------------- |
| 287 |
|
|
|
| 288 |
jmc |
1.14 |
ELSEIF (Integr_GeoPot.EQ.3) THEN |
| 289 |
|
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C -- Finite Difference Form, with hFac, Interface_W = middle -- |
| 290 |
|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 291 |
|
|
C Finite Difference formulation consistent with Partial Cell, |
| 292 |
|
|
C Valid & accurate if Interface_W at middle between tracer levels |
| 293 |
|
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C linear in p between 2 Tracer levels ; conserve energy in the Interior |
| 294 |
|
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C--------- |
| 295 |
|
|
Kp1 = min(Nr,K+1) |
| 296 |
|
|
IF (K.EQ.1) THEN |
| 297 |
|
|
ratioRm=0.5*drF(K)/(rF(k)-rC(K)) |
| 298 |
|
|
ratioRp=drF(K)*recip_drC(Kp1) |
| 299 |
|
|
ddPIm=atm_cp*( ((rF( K )/atm_po)**atm_kappa) |
| 300 |
|
|
& -((rC( K )/atm_po)**atm_kappa) ) * 2. _d 0 |
| 301 |
|
|
ddPIp=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
| 302 |
|
|
& -((rC(Kp1)/atm_po)**atm_kappa) ) |
| 303 |
|
|
DO j=jMin,jMax |
| 304 |
|
|
DO i=iMin,iMax |
| 305 |
|
|
phiHyd(i,j,K) = |
| 306 |
|
|
& ( ddPIm*max(zero,(hFacC(i,j,K,bi,bj)-one)*ratioRm+half) |
| 307 |
|
|
& +ddPIp*min(zero, hFacC(i,j,K,bi,bj)*ratioRp -half) ) |
| 308 |
|
|
& *(theta(i,j, K ,bi,bj)-tRef( K )) |
| 309 |
|
|
& * 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 |
adcroft |
1.9 |
DO j=jMin,jMax |
| 320 |
jmc |
1.14 |
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 |
adcroft |
1.9 |
ENDDO |
| 331 |
|
|
ENDIF |
| 332 |
jmc |
1.14 |
C end: Finite Difference Form, with hFac, Interface_W = middle -- |
| 333 |
|
|
C----------------------------------------------------------------------- |
| 334 |
cnh |
1.1 |
|
| 335 |
jmc |
1.14 |
ELSE |
| 336 |
|
|
STOP 'CALC_PHI_HYD: Bad Integr_GeoPot option !' |
| 337 |
|
|
ENDIF |
| 338 |
cnh |
1.6 |
|
| 339 |
jmc |
1.14 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 340 |
adcroft |
1.9 |
ELSE |
| 341 |
|
|
STOP 'CALC_PHI_HYD: We should never reach this point!' |
| 342 |
cnh |
1.5 |
ENDIF |
| 343 |
cnh |
1.1 |
|
| 344 |
jmc |
1.14 |
#endif /* INCLUDE_PHIHYD_CALCULATION_CODE */ |
| 345 |
cnh |
1.6 |
|
| 346 |
jmc |
1.11 |
RETURN |
| 347 |
|
|
END |
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