| 1 |
C $Header: /u/gcmpack/models/MITgcmUV/model/src/calc_phi_hyd.F,v 1.9 2001/02/02 21:04:47 adcroft Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "CPP_OPTIONS.h" |
| 5 |
|
| 6 |
SUBROUTINE CALC_PHI_HYD( |
| 7 |
I bi, bj, iMin, iMax, jMin, jMax, K, |
| 8 |
I theta, salt, |
| 9 |
U phiHyd, |
| 10 |
I myThid) |
| 11 |
C /==========================================================\ |
| 12 |
C | SUBROUTINE CALC_PHI_HYD | |
| 13 |
C | o Integrate the hydrostatic relation to find phiHyd. | |
| 14 |
C | | |
| 15 |
C | On entry: | |
| 16 |
C | theta,salt are the current thermodynamics quantities| |
| 17 |
C | (unchanged on exit) | |
| 18 |
C | phiHyd(i,j,1:k-1) is the hydrostatic pressure/geopot. | |
| 19 |
C | at cell centers (tracer points) | |
| 20 |
C | - 1:k-1 layers are valid | |
| 21 |
C | - k:Nr layers are invalid | |
| 22 |
C | phiHyd(i,j,k) is the hydrostatic pressure/geop. | |
| 23 |
C | at cell the interface k (w point above) | |
| 24 |
C | On exit: | |
| 25 |
C | phiHyd(i,j,1:k) is the hydrostatic pressure/geopot. | |
| 26 |
C | at cell centers (tracer points) | |
| 27 |
C | - 1:k layers are valid | |
| 28 |
C | - k+1:Nr layers are invalid | |
| 29 |
C | phiHyd(i,j,k+1) is the hydrostatic pressure/geop. | |
| 30 |
C | at cell the interface k+1 (w point below)| |
| 31 |
C | | |
| 32 |
C \==========================================================/ |
| 33 |
IMPLICIT NONE |
| 34 |
C == Global variables == |
| 35 |
#include "SIZE.h" |
| 36 |
#include "GRID.h" |
| 37 |
#include "EEPARAMS.h" |
| 38 |
#include "PARAMS.h" |
| 39 |
C == Routine arguments == |
| 40 |
INTEGER bi,bj,iMin,iMax,jMin,jMax,K |
| 41 |
_RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 42 |
_RL salt(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 43 |
_RL phiHyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 44 |
INTEGER myThid |
| 45 |
|
| 46 |
#ifdef INCLUDE_PHIHYD_CALCULATION_CODE |
| 47 |
|
| 48 |
C == Local variables == |
| 49 |
INTEGER i,j |
| 50 |
_RL alphaRho(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 51 |
_RL dRloc,dRlocKp1 |
| 52 |
_RL ddRm1, ddRp1, ddRm, ddRp |
| 53 |
_RL atm_cp, atm_kappa, atm_po |
| 54 |
|
| 55 |
IF ( buoyancyRelation .eq. 'OCEANIC' ) THEN |
| 56 |
C This is the hydrostatic pressure calculation for the Ocean |
| 57 |
C which uses the FIND_RHO() routine to calculate density |
| 58 |
C before integrating g*rho over the current layer/interface |
| 59 |
|
| 60 |
dRloc=drC(k) |
| 61 |
IF (k.EQ.1) dRloc=drF(1) |
| 62 |
IF (k.EQ.Nr) THEN |
| 63 |
dRlocKp1=0. |
| 64 |
ELSE |
| 65 |
dRlocKp1=drC(k+1) |
| 66 |
ENDIF |
| 67 |
|
| 68 |
C-- If this is the top layer we impose the boundary condition |
| 69 |
C P(z=eta) = P(atmospheric_loading) |
| 70 |
IF (k.EQ.1) THEN |
| 71 |
DO j=jMin,jMax |
| 72 |
DO i=iMin,iMax |
| 73 |
C *NOTE* The loading should go here but has not been implemented yet |
| 74 |
phiHyd(i,j,k)=0. |
| 75 |
ENDDO |
| 76 |
ENDDO |
| 77 |
ENDIF |
| 78 |
|
| 79 |
C Calculate density |
| 80 |
CALL FIND_RHO( bi, bj, iMin, iMax, jMin, jMax, k, k, eosType, |
| 81 |
& theta, salt, |
| 82 |
& alphaRho, myThid) |
| 83 |
|
| 84 |
C Hydrostatic pressure at cell centers |
| 85 |
DO j=jMin,jMax |
| 86 |
DO i=iMin,iMax |
| 87 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 88 |
Is this directive correct or even necessary in this new code? |
| 89 |
CADJ GENERAL |
| 90 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 91 |
|
| 92 |
C---------- This discretization is the "finite volume" form |
| 93 |
C which has not been used to date since it does not |
| 94 |
C conserve KE+PE exactly even though it is more natural |
| 95 |
C |
| 96 |
c IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
| 97 |
c & drF(K)*gravity*alphaRho(i,j) |
| 98 |
c phiHyd(i,j,k)=phiHyd(i,j,k)+ |
| 99 |
c & 0.5*drF(K)*gravity*alphaRho(i,j) |
| 100 |
C----------------------------------------------------------------------- |
| 101 |
|
| 102 |
C---------- This discretization is the "energy conserving" form |
| 103 |
C which has been used since at least Adcroft et al., MWR 1997 |
| 104 |
C |
| 105 |
phiHyd(i,j,k)=phiHyd(i,j,k)+ |
| 106 |
& 0.5*dRloc*gravity*alphaRho(i,j) |
| 107 |
IF (k.LT.Nr) phiHyd(i,j,k+1)=phiHyd(i,j,k)+ |
| 108 |
& 0.5*dRlocKp1*gravity*alphaRho(i,j) |
| 109 |
C----------------------------------------------------------------------- |
| 110 |
ENDDO |
| 111 |
ENDDO |
| 112 |
|
| 113 |
|
| 114 |
|
| 115 |
|
| 116 |
ELSEIF ( buoyancyRelation .eq. 'ATMOSPHERIC' ) THEN |
| 117 |
C This is the hydrostatic geopotential calculation for the Atmosphere |
| 118 |
C The ideal gas law is used implicitly here rather than calculating |
| 119 |
C the specific volume, analogous to the oceanic case. |
| 120 |
|
| 121 |
C Integrate d Phi / d pi |
| 122 |
|
| 123 |
C *NOTE* These constants should be in the data file and PARAMS.h |
| 124 |
atm_cp=1004. _d 0 |
| 125 |
atm_kappa=2. _d 0/7. _d 0 |
| 126 |
atm_po=1. _d 5 |
| 127 |
IF (K.EQ.1) THEN |
| 128 |
ddRp1=atm_cp*( ((rC(K)/atm_po)**atm_kappa) |
| 129 |
& -((rF(K)/atm_po)**atm_kappa) ) |
| 130 |
DO j=jMin,jMax |
| 131 |
DO i=iMin,iMax |
| 132 |
ddRp=ddRp1 |
| 133 |
IF (hFacC(I,J, K ,bi,bj).EQ.0.) ddRp=0. |
| 134 |
C------------ The integration for the first level phi(k=1) is the |
| 135 |
C same for both the "finite volume" and energy conserving |
| 136 |
C methods. |
| 137 |
C *NOTE* The geopotential boundary condition should go |
| 138 |
C here but has not been implemented yet |
| 139 |
phiHyd(i,j,K)=0. |
| 140 |
& -ddRp*(theta(I,J,K,bi,bj)-tRef(K)) |
| 141 |
C----------------------------------------------------------------------- |
| 142 |
ENDDO |
| 143 |
ENDDO |
| 144 |
ELSE |
| 145 |
|
| 146 |
C-------- This discretization is the "finite volume" form which |
| 147 |
C integrates the hydrostatic equation of each half/sub-layer. |
| 148 |
C This seems most natural and could easily allow for lopped cells |
| 149 |
C by replacing rF(K) with the height of the surface (not implemented). |
| 150 |
C in the lower layers (e.g. at k=1). |
| 151 |
C |
| 152 |
c ddRm1=atm_cp*( ((rF( K )/atm_po)**atm_kappa) |
| 153 |
c & -((rC(K-1)/atm_po)**atm_kappa) ) |
| 154 |
c ddRp1=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
| 155 |
c & -((rF( K )/atm_po)**atm_kappa) ) |
| 156 |
C----------------------------------------------------------------------- |
| 157 |
|
| 158 |
|
| 159 |
C-------- This discretization is the energy conserving form |
| 160 |
ddRp1=atm_cp*( ((rC( K )/atm_po)**atm_kappa) |
| 161 |
& -((rC(K-1)/atm_po)**atm_kappa) )*0.5 |
| 162 |
ddRm1=ddRp1 |
| 163 |
C----------------------------------------------------------------------- |
| 164 |
|
| 165 |
DO j=jMin,jMax |
| 166 |
DO i=iMin,iMax |
| 167 |
ddRp=ddRp1 |
| 168 |
ddRm=ddRm1 |
| 169 |
IF (hFacC(I,J, K ,bi,bj).EQ.0.) ddRp=0. |
| 170 |
IF (hFacC(I,J,K-1,bi,bj).EQ.0.) ddRm=0. |
| 171 |
phiHyd(i,j,K)=phiHyd(i,j,K-1) |
| 172 |
& -( ddRm*(theta(I,J,K-1,bi,bj)-tRef(K-1)) |
| 173 |
& +ddRp*(theta(I,J, K ,bi,bj)-tRef( K )) ) |
| 174 |
C Old code (atmos-exact) looked like this |
| 175 |
Cold phiHyd(i,j,K)=phiHyd(i,j,K-1) - ddRm1* |
| 176 |
Cold & (theta(I,J,K-1,bi,bj)+theta(I,J,K,bi,bj)-2.*tRef(K)) |
| 177 |
ENDDO |
| 178 |
ENDDO |
| 179 |
ENDIF |
| 180 |
|
| 181 |
|
| 182 |
ELSE |
| 183 |
STOP 'CALC_PHI_HYD: We should never reach this point!' |
| 184 |
ENDIF |
| 185 |
|
| 186 |
#endif |
| 187 |
|
| 188 |
return |
| 189 |
end |
Parent Directory
| 
Revision Log
| 
Revision Graph