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jmc |
1.5 |
C $Header: /u/gcmpack/MITgcm/model/src/ini_p_ground.F,v 1.4 2002/12/10 02:55:47 jmc Exp $ |
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jmc |
1.1 |
C $Name: $ |
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#include "CPP_OPTIONS.h" |
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jmc |
1.4 |
#undef CHECK_ANALYLIC_THETA |
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jmc |
1.1 |
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cnh |
1.2 |
CBOP |
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C !ROUTINE: INI_P_GROUND |
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C !INTERFACE: |
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jmc |
1.4 |
SUBROUTINE INI_P_GROUND(selectMode, |
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& Hfld, Pfld, |
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jmc |
1.1 |
I myThid ) |
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cnh |
1.2 |
C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE INI_P_GROUND |
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C | o Convert Topography [m] to (reference) Surface Pressure |
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C | according to tRef profile, |
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C | using same discretisation as in calc_phi_hyd |
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C | |
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C *==========================================================* |
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C \ev |
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C !USES: |
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jmc |
1.1 |
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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jmc |
1.4 |
#include "SURFACE.h" |
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jmc |
1.1 |
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cnh |
1.2 |
C !INPUT/OUTPUT PARAMETERS: |
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jmc |
1.1 |
C == Routine arguments == |
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jmc |
1.5 |
C selectMode :: > 0 = find Pfld from Hfld ; < 0 = compute Hfld from Pfld |
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C selectFindRoSurf = 0 : use Theta_Ref profile |
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C selectFindRoSurf = 1 : use analytic fct Theta(Lat,P) |
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jmc |
1.4 |
C Hfld (input/outp) :: Ground elevation [m] |
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C Pfld (outp/input) :: reference Pressure at the ground [Pa] |
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INTEGER selectMode |
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jmc |
1.1 |
_RS Hfld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS Pfld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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INTEGER myThid |
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cnh |
1.2 |
C !LOCAL VARIABLES: |
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jmc |
1.1 |
C == Local variables == |
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jmc |
1.4 |
C msgBuf :: Informational/error meesage buffer |
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C- |
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C For an accurate definition of the reference surface pressure, |
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C define a High vertical resolution (in P): |
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C nLevHvR :: Number of P-level used for High vertical Resolution (HvR) |
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C plowHvR :: Lower bound of the High vertical Resolution |
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C dpHvR :: normalized pressure increment (HvR) |
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C pLevHvR :: normalized P-level of the High vertical Resolution |
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C pMidHvR :: normalized mid point level (HvR) |
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C thetaHvR :: potential temperature at mid point level (HvR) |
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C PiHvR :: Exner function at P-level |
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C dPiHvR :: Exner function difference between 2 P-levels |
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C recip_kappa :: 1/kappa = Cp/R |
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C PiLoc, zLoc, dzLoc, yLatLoc, phiLoc :: hold on temporary values |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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jmc |
1.1 |
INTEGER bi,bj,i,j,K, Ks |
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_RL ddPI, Po_surf |
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_RL phiRef(2*Nr+1), rHalf(2*Nr+1) |
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jmc |
1.5 |
LOGICAL findPoSurf |
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jmc |
1.4 |
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INTEGER nLevHvR |
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PARAMETER ( nLevHvR = 60 ) |
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_RL plowHvR, dpHvR, pLevHvR(nLevHvR+1), pMidHvR(nLevHvR) |
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_RL thetaHvR(nLevHvR), PiHvR(nLevHvR+1), dPiHvR(nLevHvR) |
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_RL recip_kappa, PiLoc, zLoc, dzLoc, yLatLoc, phiLoc |
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jmc |
1.5 |
_RL psNorm, rMidKp1 |
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_RL ratioRm(Nr), ratioRp(Nr) |
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jmc |
1.4 |
INTEGER kLev |
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#ifdef CHECK_ANALYLIC_THETA |
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jmc |
1.5 |
_RL tmpVar(nLevHvR,61) |
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jmc |
1.4 |
#endif |
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cnh |
1.2 |
CEOP |
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jmc |
1.1 |
|
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jmc |
1.4 |
IF ( selectFindRoSurf.LT.0 .OR. selectFindRoSurf.GT.1 ) THEN |
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WRITE(msgBuf,'(A,I2,A)') |
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& 'INI_P_GROUND: selectFindRoSurf =', selectFindRoSurf, |
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& ' <== bad value !' |
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CALL PRINT_ERROR( msgBuf , myThid) |
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STOP 'INI_P_GROUND' |
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ENDIF |
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jmc |
1.1 |
DO K=1,Nr |
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rHalf(2*K-1) = rF(K) |
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rHalf(2*K) = rC(K) |
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ENDDO |
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rHalf(2*Nr+1) = rF(Nr+1) |
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jmc |
1.5 |
IF (selectMode*selectFindRoSurf .LE. 0) THEN |
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jmc |
1.1 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C- Compute Reference Geopotential at Half levels : |
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C Tracer level: phiRef(2K) ; Interface_W level: phiRef(2K+1) |
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phiRef(1) = 0. |
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jmc |
1.4 |
IF (integr_GeoPot.EQ.1) THEN |
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jmc |
1.1 |
C- Finite Volume Form, linear by half level : |
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DO K=1,2*Nr |
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Ks = (K+1)/2 |
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jmc |
1.4 |
ddPI=atm_Cp*( ((rHalf( K )/atm_Po)**atm_kappa) |
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& -((rHalf(K+1)/atm_Po)**atm_kappa) ) |
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jmc |
1.1 |
phiRef(K+1) = phiRef(K)+ddPI*tRef(Ks) |
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ENDDO |
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C------ |
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ELSE |
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C- Finite Difference Form, linear between Tracer level : |
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jmc |
1.4 |
C works with integr_GeoPot = 0, 2 or 3 |
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jmc |
1.1 |
K = 1 |
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jmc |
1.4 |
ddPI=atm_Cp*( ((rF(K)/atm_Po)**atm_kappa) |
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& -((rC(K)/atm_Po)**atm_kappa) ) |
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jmc |
1.1 |
phiRef(2*K) = phiRef(1) + ddPI*tRef(K) |
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DO K=1,Nr-1 |
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jmc |
1.4 |
ddPI=atm_Cp*( ((rC( K )/atm_Po)**atm_kappa) |
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& -((rC(K+1)/atm_Po)**atm_kappa) ) |
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jmc |
1.1 |
phiRef(2*K+1) = phiRef(2*K) + ddPI*0.5*tRef(K) |
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phiRef(2*K+2) = phiRef(2*K) |
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& + ddPI*0.5*(tRef(K)+tRef(K+1)) |
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ENDDO |
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K = Nr |
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jmc |
1.4 |
ddPI=atm_Cp*( ((rC( K )/atm_Po)**atm_kappa) |
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& -((rF(K+1)/atm_Po)**atm_kappa) ) |
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jmc |
1.1 |
phiRef(2*K+1) = phiRef(2*K) + ddPI*tRef(K) |
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C------ |
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ENDIF |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C- Convert phiRef to Z unit : |
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DO K=1,2*Nr+1 |
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phiRef(K) = phiRef(K)*recip_gravity |
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ENDDO |
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jmc |
1.3 |
_BEGIN_MASTER( myThid ) |
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jmc |
1.1 |
C- Write to check : |
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jmc |
1.3 |
WRITE(standardMessageUnit,'(2A)') |
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& 'INI_P_GROUND: PhiRef/g [m] at Center (integer) ', |
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& 'and Interface (half-int.) levels:' |
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jmc |
1.1 |
DO K=1,2*Nr+1 |
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jmc |
1.3 |
WRITE(standardMessageUnit,'(A,F5.1,A,F10.1,A,F12.3)') |
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& ' K=',K*0.5,' ; r=',rHalf(K),' ; phiRef/g=', phiRef(K) |
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jmc |
1.1 |
ENDDO |
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jmc |
1.3 |
_END_MASTER( myThid ) |
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jmc |
1.1 |
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jmc |
1.5 |
C-- endif selectMode*selectFindRoSurf =< 0 |
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jmc |
1.4 |
ENDIF |
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jmc |
1.5 |
IF (selectFindRoSurf.EQ.0 .AND. selectMode .GT. 0 ) THEN |
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jmc |
1.1 |
C- Find Po_surf : Linear between 2 half levels : |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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DO j=1,sNy |
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DO i=1,sNx |
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Ks = 1 |
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DO K=1,2*Nr |
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IF (Hfld(i,j,bi,bj).GE.phiRef(K)) Ks = K |
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ENDDO |
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Po_surf = rHalf(Ks) + (rHalf(Ks+1)-rHalf(Ks))* |
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& (Hfld(i,j,bi,bj)-phiRef(Ks))/(phiRef(Ks+1)-phiRef(Ks)) |
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c IF (Hfld(i,j,bi,bj).LT.phiRef(1)) Po_surf= rHalf(1) |
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jmc |
1.4 |
c IF (Hfld(i,j,bi,bj).GT.phiRef(2*Nr+1)) Po_surf=rHalf(2*Nr+1) |
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jmc |
1.1 |
Pfld(i,j,bi,bj) = Po_surf |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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jmc |
1.5 |
C-- endif selectFindRoSurf=0 & selectMode > 0 |
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jmc |
1.4 |
ENDIF |
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jmc |
1.5 |
IF ( selectFindRoSurf.EQ.1 ) THEN |
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jmc |
1.4 |
C-- define high resolution Pressure discretization: |
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recip_kappa = 1. _d 0 / atm_kappa |
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plowHvR = 0.4 _d 0 |
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dpHvR = nLevHvR |
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dpHvR = (1. - plowHvR) / dpHvR |
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pLevHvR(1)= Ro_SeaLevel/atm_Po |
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PiHvR(1) = atm_Cp*(pLevHvR(1)**atm_kappa) |
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DO k=1,nLevHvR |
| 187 |
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pLevHvR(k+1)= pLevHvR(1) - float(k)*dpHvR |
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PiHvR(k+1) = atm_Cp*(pLevHvR(k+1)**atm_kappa) |
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pMidHvR(k)= (pLevHvR(k)+pLevHvR(k+1))*0.5 _d 0 |
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dPiHvR(k) = PiHvR(k) - PiHvR(k+1) |
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ENDDO |
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jmc |
1.5 |
C-- to modify pressure when using non fully linear relation between Phi & p |
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C (Integr_GeoPot=2 & Tracer Point at middle between 2 interfaces) |
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DO k=1,Nr |
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ratioRm(k) = 1. _d 0 |
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ratioRp(k) = 1. _d 0 |
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IF (k.GT.1 ) ratioRm(k) = 0.5 _d 0*drC(k)/(rF(k)-rC(k)) |
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IF (k.LT.Nr) ratioRp(k) = 0.5 _d 0*drC(k+1)/(rC(k)-rF(k+1)) |
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ENDDO |
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jmc |
1.4 |
#ifdef CHECK_ANALYLIC_THETA |
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_BEGIN_MASTER( mythid ) |
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DO j=1,61 |
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yLatLoc =-90.+(j-1)*3. |
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CALL ANALYLIC_THETA( yLatLoc , pMidHvR, |
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& tmpVar(1,j), nLevHvR, mythid) |
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ENDDO |
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OPEN(88,FILE='analytic_theta', |
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& STATUS='unknown',FORM='unformatted') |
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WRITE(88) tmpVar |
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CLOSE(88) |
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_END_MASTER( mythid ) |
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STOP 'CHECK_ANALYLIC_THETA' |
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#endif /* CHECK_ANALYLIC_THETA */ |
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jmc |
1.5 |
C-- endif selectFindRoSurf=1 |
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jmc |
1.4 |
ENDIF |
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jmc |
1.5 |
IF ( selectFindRoSurf*selectMode .GT. 0) THEN |
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jmc |
1.4 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C- Find Po_surf such as g*Hfld = Phi[Po_surf,theta(yLat,p)]: |
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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C- start bi,bj loop: |
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jmc |
1.5 |
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jmc |
1.4 |
DO j=1,sNy |
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DO i=1,sNx |
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IF ( Hfld(i,j,bi,bj) .LE. 0. _d 0) THEN |
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Pfld(i,j,bi,bj) = Ro_SeaLevel |
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ELSE |
| 233 |
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yLatLoc = yC(i,j,bi,bj) |
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CALL ANALYLIC_THETA( yLatLoc , pMidHvR, |
| 235 |
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& thetaHvR, nLevHvR, mythid) |
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zLoc = 0. |
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DO k=1,nLevHvR |
| 238 |
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IF (zLoc.GE.0.) THEN |
| 239 |
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C- compute phi/g corresponding to next p_level: |
| 240 |
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dzLoc = dPiHvR(k)*thetaHvR(k)*recip_gravity |
| 241 |
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IF ( Hfld(i,j,bi,bj) .LE. zLoc+dzLoc ) THEN |
| 242 |
jmc |
1.5 |
C- compute the normalized surf. Pressure psNorm |
| 243 |
jmc |
1.4 |
PiLoc = PiHvR(k) |
| 244 |
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& - gravity*(Hfld(i,j,bi,bj)-zLoc)/thetaHvR(k) |
| 245 |
jmc |
1.5 |
psNorm = (PiLoc/atm_Cp)**recip_kappa |
| 246 |
jmc |
1.4 |
C- use linear interpolation: |
| 247 |
jmc |
1.5 |
c psNorm = pLevHvR(k) |
| 248 |
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c & - dpHvR*(Hfld(i,j,bi,bj)-zLoc)/dzLoc |
| 249 |
jmc |
1.4 |
zLoc = -1. |
| 250 |
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ELSE |
| 251 |
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zLoc = zLoc + dzLoc |
| 252 |
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ENDIF |
| 253 |
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ENDIF |
| 254 |
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ENDDO |
| 255 |
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IF (zLoc.GE.0.) THEN |
| 256 |
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WRITE(msgBuf,'(2A)') |
| 257 |
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& 'INI_P_GROUND: FAIL in trying to find Pfld:', |
| 258 |
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& ' selectMode,i,j,bi,bj=',selectMode,i,j,bi,bj |
| 259 |
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CALL PRINT_ERROR( msgBuf , myThid) |
| 260 |
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WRITE(msgBuf,'(A,F7.1,2A,F6.4,A,F8.0)') |
| 261 |
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& 'INI_P_GROUND: Hfld=', Hfld(i,j,bi,bj), ' exceeds', |
| 262 |
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& ' Zloc(lowest P=', pLevHvR(1+nLevHvR),' )=',zLoc |
| 263 |
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CALL PRINT_ERROR( msgBuf , myThid) |
| 264 |
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STOP 'ABNORMAL END: S/R INI_P_GROUND' |
| 265 |
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ELSE |
| 266 |
jmc |
1.5 |
Pfld(i,j,bi,bj) = psNorm*atm_Po |
| 267 |
jmc |
1.4 |
ENDIF |
| 268 |
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ENDIF |
| 269 |
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ENDDO |
| 270 |
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ENDDO |
| 271 |
jmc |
1.5 |
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| 272 |
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IF (selectMode.EQ.2 .AND. integr_GeoPot.NE.1) THEN |
| 273 |
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C--------- |
| 274 |
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C Modify pressure to account for non fully linear relation between |
| 275 |
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C Phi & p (due to numerical truncation of the Finite Difference scheme) |
| 276 |
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C--------- |
| 277 |
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DO j=1,sNy |
| 278 |
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DO i=1,sNx |
| 279 |
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Po_surf = Pfld(i,j,bi,bj) |
| 280 |
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IF ( Po_surf.LT.rC(1) .AND. Po_surf.GT.rC(Nr) ) THEN |
| 281 |
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findPoSurf = .TRUE. |
| 282 |
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DO k=1,Nr |
| 283 |
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IF ( findPoSurf .AND. Po_surf.GE.rC(k) ) THEN |
| 284 |
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Po_surf = rC(k) + (Po_surf-rC(k))/ratioRm(k) |
| 285 |
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findPoSurf = .FALSE. |
| 286 |
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ENDIF |
| 287 |
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rMidKp1 = rF(k+1) |
| 288 |
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IF (k.LT.Nr) rMidKp1 = (rC(k)+rC(k+1))*0.5 _d 0 |
| 289 |
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IF ( findPoSurf .AND. Po_surf.GE.rMidKp1 ) THEN |
| 290 |
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Po_surf = rC(k) + (Po_surf-rC(k))/ratioRp(k) |
| 291 |
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findPoSurf = .FALSE. |
| 292 |
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ENDIF |
| 293 |
|
|
ENDDO |
| 294 |
|
|
IF ( findPoSurf ) |
| 295 |
|
|
& STOP 'S/R INI_P_GROUND: Pb with selectMode=2' |
| 296 |
|
|
ENDIF |
| 297 |
|
|
Pfld(i,j,bi,bj) = Po_surf |
| 298 |
|
|
ENDDO |
| 299 |
|
|
ENDDO |
| 300 |
|
|
C--------- |
| 301 |
|
|
ENDIF |
| 302 |
|
|
|
| 303 |
jmc |
1.4 |
C- end bi,bj loop. |
| 304 |
|
|
ENDDO |
| 305 |
|
|
ENDDO |
| 306 |
|
|
|
| 307 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 308 |
jmc |
1.5 |
C-- endif selectFindRoSurf*selectMode > 0 |
| 309 |
jmc |
1.4 |
ENDIF |
| 310 |
|
|
|
| 311 |
jmc |
1.5 |
IF (selectMode .LT. 0) THEN |
| 312 |
jmc |
1.4 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 313 |
jmc |
1.5 |
C--- Compute Hfld = Phi(Pfld)/g. |
| 314 |
jmc |
1.4 |
|
| 315 |
|
|
DO bj = myByLo(myThid), myByHi(myThid) |
| 316 |
|
|
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 317 |
|
|
C- start bi,bj loop: |
| 318 |
|
|
|
| 319 |
jmc |
1.5 |
C-- Compute Hfld from g*Hfld = PhiRef(Po_surf) |
| 320 |
jmc |
1.4 |
DO j=1,sNy |
| 321 |
|
|
DO i=1,sNx |
| 322 |
|
|
C- compute phiLoc = PhiRef(Ro_surf): |
| 323 |
|
|
ks = ksurfC(i,j,bi,bj) |
| 324 |
|
|
IF (ks.LE.Nr) THEN |
| 325 |
|
|
IF ( Pfld(i,j,bi,bj).GE.rC(ks) ) THEN |
| 326 |
|
|
phiLoc = phiRef(2*ks) |
| 327 |
|
|
& + (phiRef(2*ks-1)-phiRef(2*ks)) |
| 328 |
|
|
& *(Pfld(i,j,bi,bj)-rC(ks))/(rHalf(2*ks-1)-rHalf(2*ks)) |
| 329 |
|
|
ELSE |
| 330 |
|
|
phiLoc = phiRef(2*ks) |
| 331 |
|
|
& + (phiRef(2*ks+1)-phiRef(2*ks)) |
| 332 |
|
|
& *(Pfld(i,j,bi,bj)-rC(ks))/(rHalf(2*ks+1)-rHalf(2*ks)) |
| 333 |
|
|
ENDIF |
| 334 |
jmc |
1.5 |
Hfld(i,j,bi,bj) = phiLoc |
| 335 |
jmc |
1.4 |
ELSE |
| 336 |
|
|
Hfld(i,j,bi,bj) = 0. |
| 337 |
|
|
ENDIF |
| 338 |
|
|
ENDDO |
| 339 |
|
|
ENDDO |
| 340 |
jmc |
1.5 |
|
| 341 |
|
|
IF (selectFindRoSurf.EQ.1) THEN |
| 342 |
|
|
C----- |
| 343 |
|
|
C goal: evaluate phi0surf (used for computing geopotential'= Phi - PhiRef): |
| 344 |
|
|
C phi0surf = g*Ztopo-PhiRef(Ro_surf) if no truncation was applied to Ro_surf; |
| 345 |
|
|
C but because of hFacMin, surf.ref.pressure (=Ro_surf) is truncated and |
| 346 |
|
|
C phi0surf = Phi(Theta-Analytic,P=Ro_surf) - PhiRef(P=Ro_surf) |
| 347 |
|
|
C----- |
| 348 |
|
|
C-- Compute Hfld from g*Hfld = Phi[Po_surf,theta(yLat,p)]: |
| 349 |
|
|
DO j=1,sNy |
| 350 |
|
|
DO i=1,sNx |
| 351 |
|
|
zLoc = 0. |
| 352 |
|
|
IF ( Pfld(i,j,bi,bj) .LT. Ro_SeaLevel) THEN |
| 353 |
|
|
Po_surf = Pfld(i,j,bi,bj) |
| 354 |
|
|
C--------- |
| 355 |
|
|
C Modify pressure to account for non fully linear relation between |
| 356 |
|
|
C Phi & p (due to numerical truncation of the Finite Difference scheme) |
| 357 |
|
|
IF (selectMode.EQ.-2 .AND. integr_GeoPot.NE.1) THEN |
| 358 |
|
|
IF ( Po_surf.LT.rC(1) .AND. Po_surf.GT.rC(Nr) ) THEN |
| 359 |
|
|
findPoSurf = .TRUE. |
| 360 |
|
|
DO k=1,Nr |
| 361 |
|
|
IF ( findPoSurf .AND. Po_surf.GE.rC(k) ) THEN |
| 362 |
|
|
Po_surf = rC(k) + (Po_surf-rC(k))*ratioRm(k) |
| 363 |
|
|
findPoSurf = .FALSE. |
| 364 |
|
|
ENDIF |
| 365 |
|
|
IF ( findPoSurf .AND. Po_surf.GE.rF(k+1) ) THEN |
| 366 |
|
|
Po_surf = rC(k) + (Po_surf-rC(k))*ratioRp(k) |
| 367 |
|
|
findPoSurf = .FALSE. |
| 368 |
|
|
ENDIF |
| 369 |
|
|
ENDDO |
| 370 |
|
|
ENDIF |
| 371 |
|
|
ENDIF |
| 372 |
|
|
C--------- |
| 373 |
|
|
psNorm = Po_surf/atm_Po |
| 374 |
|
|
kLev = 1 + INT( (pLevHvR(1)-psNorm)/dpHvR ) |
| 375 |
|
|
yLatLoc = yC(i,j,bi,bj) |
| 376 |
|
|
CALL ANALYLIC_THETA( yLatLoc , pMidHvR, |
| 377 |
|
|
& thetaHvR, kLev, mythid) |
| 378 |
|
|
C- compute height at level pLev(kLev) just below Pfld: |
| 379 |
|
|
DO k=1,kLev-1 |
| 380 |
|
|
dzLoc = dPiHvR(k)*thetaHvR(k)*recip_gravity |
| 381 |
|
|
zLoc = zLoc + dzLoc |
| 382 |
|
|
ENDDO |
| 383 |
|
|
dzLoc = ( PiHvR(kLev)-atm_Cp*(psNorm**atm_kappa) ) |
| 384 |
|
|
& * thetaHvR(kLev)*recip_gravity |
| 385 |
|
|
zLoc = zLoc + dzLoc |
| 386 |
|
|
ENDIF |
| 387 |
|
|
C- compute phi0surf = Phi[Po_surf,theta(yLat,p)] - PhiRef(Po_surf) |
| 388 |
|
|
phi0surf(i,j,bi,bj) = gravity*(zLoc - Hfld(i,j,bi,bj)) |
| 389 |
|
|
C- save Phi[Po_surf,theta(yLat,p)] in Hfld (replacing PhiRef(Po_surf)): |
| 390 |
|
|
Hfld(i,j,bi,bj) = zLoc |
| 391 |
|
|
ENDDO |
| 392 |
|
|
ENDDO |
| 393 |
|
|
C- endif selectFindRoSurf=1 |
| 394 |
|
|
ENDIF |
| 395 |
|
|
|
| 396 |
jmc |
1.4 |
C- end bi,bj loop. |
| 397 |
|
|
ENDDO |
| 398 |
|
|
ENDDO |
| 399 |
|
|
|
| 400 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 401 |
jmc |
1.5 |
C-- endif selectMode < 0 |
| 402 |
jmc |
1.4 |
ENDIF |
| 403 |
|
|
|
| 404 |
|
|
RETURN |
| 405 |
|
|
END |
| 406 |
|
|
|
| 407 |
|
|
CBOP |
| 408 |
|
|
C !SUBROUTINE: ANALYLIC_THETA |
| 409 |
|
|
C !INTERFACE: |
| 410 |
|
|
SUBROUTINE ANALYLIC_THETA( yLat, pNlev, |
| 411 |
|
|
O thetaLev, |
| 412 |
|
|
I kSize,myThid) |
| 413 |
|
|
|
| 414 |
|
|
C !DESCRIPTION: \bv |
| 415 |
|
|
C *==========================================================* |
| 416 |
|
|
C | SUBROUTINE ANALYLIC_THETA |
| 417 |
|
|
C | o Conpute analyticaly the potential temperature Theta |
| 418 |
|
|
C | as a function of Latitude (yLat) and normalized |
| 419 |
|
|
C | pressure pNlev. |
| 420 |
|
|
C | approximatively match the N-S symetric, zonal-mean and |
| 421 |
|
|
C | annual-mean NCEP climatology in the troposphere. |
| 422 |
|
|
C *==========================================================* |
| 423 |
|
|
C \ev |
| 424 |
|
|
|
| 425 |
|
|
C !USES: |
| 426 |
|
|
IMPLICIT NONE |
| 427 |
|
|
|
| 428 |
|
|
C == Global variables == |
| 429 |
|
|
#include "SIZE.h" |
| 430 |
|
|
#include "EEPARAMS.h" |
| 431 |
|
|
#include "PARAMS.h" |
| 432 |
|
|
|
| 433 |
|
|
C !INPUT/OUTPUT PARAMETERS: |
| 434 |
|
|
C == Routine arguments == |
| 435 |
|
|
C yLat :: latitude (degre) |
| 436 |
|
|
C pNlev :: normalized pressure levels |
| 437 |
|
|
C kSize :: dimension of pNlev & ANALYLIC_THETA |
| 438 |
|
|
C myThid :: Thread number for this instance of the routine |
| 439 |
|
|
INTEGER kSize |
| 440 |
|
|
_RL yLat |
| 441 |
|
|
_RL pNlev (kSize) |
| 442 |
|
|
_RL thetaLev(kSize) |
| 443 |
|
|
INTEGER myThid |
| 444 |
|
|
|
| 445 |
|
|
C !LOCAL VARIABLES: |
| 446 |
|
|
C == Local variables == |
| 447 |
|
|
INTEGER k |
| 448 |
|
|
_RL yyA, yyB, yyC, yyAd, yyBd, yyCd |
| 449 |
|
|
_RL cAtmp, cBtmp, ttdC |
| 450 |
|
|
_RL ppN0, ppN1, ppN2, ppN3a, ppN3b, ppN4 |
| 451 |
|
|
_RL ttp1, ttp2, ttp3, ttp4, ttp5 |
| 452 |
|
|
_RL yAtmp, yBtmp, yCtmp, yDtmp |
| 453 |
|
|
_RL ttp2y, ttp4y, a1tmp |
| 454 |
|
|
_RL ppl, ppm, pph, ppr |
| 455 |
|
|
|
| 456 |
|
|
CEOP |
| 457 |
|
|
|
| 458 |
|
|
DATA yyA , yyB , yyC , yyAd , yyBd , yyCd |
| 459 |
|
|
& / 45. _d 0, 65. _d 0, 65. _d 0, .9 _d 0, .9 _d 0, 10. _d 0 / |
| 460 |
|
|
DATA cAtmp , cBtmp , ttdC |
| 461 |
|
|
& / 2.6 _d 0, 1.5 _d 0, 3.3 _d 0 / |
| 462 |
|
|
DATA ppN0 , ppN1 , ppN2 , ppN3a , ppN3b , ppN4 |
| 463 |
|
|
& / .1 _d 0, .19 _d 0, .3 _d 0, .9 _d 0, .7 _d 0, .925 _d 0 / |
| 464 |
|
|
DATA ttp1 , ttp2 , ttp3 , ttp4 , ttp5 |
| 465 |
|
|
& / 350. _d 0, 342. _d 0, 307. _d 0, 301. _d 0, 257. _d 0 / |
| 466 |
|
|
|
| 467 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 468 |
|
|
|
| 469 |
|
|
yAtmp = ABS(yLat) - yyA |
| 470 |
|
|
yAtmp = yyA + MIN(0. _d 0,yAtmp/yyAd) + MAX(yAtmp, 0. _d 0) |
| 471 |
|
|
yAtmp = COS( deg2rad*MAX(yAtmp, 0. _d 0) ) |
| 472 |
|
|
yBtmp = ABS(yLat) - yyB |
| 473 |
|
|
yBtmp = yyB + yBtmp/yyBd |
| 474 |
|
|
yBtmp = COS( deg2rad*MAX( 0. _d 0, MIN(yBtmp,90. _d 0) ) ) |
| 475 |
|
|
yCtmp = ABS(yLat) - yyC |
| 476 |
|
|
yCtmp = MAX( 0. _d 0, 1. _d 0 - (yCtmp/yyCd)**2 ) |
| 477 |
|
|
yDtmp = ppN3a +(ppN3b - ppN3a)*yCtmp |
| 478 |
|
|
ttp2y = ttp3 + (ttp2-ttp3)*yAtmp**cAtmp |
| 479 |
|
|
ttp4y = ttp5 + (ttp4-ttp5)*yBtmp**cBtmp |
| 480 |
|
|
a1tmp = (ttp1-ttp2y)*ppN1*ppN2/(ppN2-ppN1) |
| 481 |
|
|
DO k=1,kSize |
| 482 |
|
|
ppl = MIN(pNlev(k),ppN1) |
| 483 |
|
|
ppm = MIN(MAX(pNlev(k),ppN1),ppN2) |
| 484 |
|
|
pph = MAX(pNlev(k),ppN2) |
| 485 |
|
|
ppr =( ppN0 + ABS(ppl-ppN0) - ppN1 )/(ppN2-ppN1) |
| 486 |
|
|
thetaLev(k) = |
| 487 |
|
|
& ( (1. _d 0 -ppr)*ttp1*ppN1**atm_kappa |
| 488 |
|
|
& + ppr*ttp2y*ppN2**atm_kappa |
| 489 |
|
|
& )*ppl**(-atm_kappa) |
| 490 |
|
|
& + a1tmp*(1. _d 0 /ppm - 1. _d 0/ppN1) |
| 491 |
|
|
& + (ttp4y-ttp2y)*(pph-ppN2)/(ppN4-ppN2) |
| 492 |
|
|
& + (ttdC+yCtmp)*MAX(0. _d 0,pNlev(k)-yDtmp)/(1-yDtmp) |
| 493 |
|
|
ENDDO |
| 494 |
jmc |
1.1 |
|
| 495 |
jmc |
1.4 |
C--------------------------------------------------- |
| 496 |
|
|
C matlab script, input: pN, yp=abs(yLat) |
| 497 |
|
|
C pN0=.1; pN1=.19 ; pN2=.3; pN4=.925; |
| 498 |
|
|
C pm=min(max(pN,pN1),pN2); pp=max(pN,pN2); |
| 499 |
|
|
C pl=min(pN,pN1); pr=(pN0+abs(pl-pN0)-pN1)/(pN2-pN1); |
| 500 |
|
|
C |
| 501 |
|
|
C yA=yp-45; yA=45+min(0,yA/.9)+max(0,yA); yA=max(0,yA); cosyA=cos(yA*rad) ; |
| 502 |
|
|
C yB=yp-65; yB=65+yB/.9; yB=min(max(0,yB),90); cosyB=cos(yB*rad) ; |
| 503 |
|
|
C tp1=350*ones(nyA,1); |
| 504 |
|
|
C tp2=307+(342-307)*cosyA.^2.6; |
| 505 |
|
|
C tp4=257+(301-257)*cosyB.^1.5; |
| 506 |
|
|
C a1=(tp1-tp2)*pN1*pN2/(pN2-pN1); |
| 507 |
|
|
C pF=max(0,1.-((yp-65)/10).^2); pT=.9+(0.7-.9)*pF; |
| 508 |
|
|
C |
| 509 |
|
|
C tA0=((1-pr(k))*tp1(j)*pN1^kappa+pr(k)*tp2(j)*pN2^kappa)*pl(k)^-kappa; |
| 510 |
|
|
C tA1=a1(j)*(1./pm(k)-1./pN1); |
| 511 |
|
|
C tA2=(tp4(j)-tp2(j))*(pp(k)-pN2)/(pN4-pN2); |
| 512 |
|
|
C tA3=(3.3+pF(j))*max(0,pN(k)-pT(j))/(1-pT(j)); |
| 513 |
|
|
C tAn(j,k)=tA0+tA1+tA2+tA3; |
| 514 |
|
|
C--------------------------------------------------- |
| 515 |
jmc |
1.1 |
|
| 516 |
|
|
RETURN |
| 517 |
|
|
END |
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