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C $Header: /u/gcmpack/MITgcm/model/src/ini_p_ground.F,v 1.10 2016/03/10 20:52:43 jmc Exp $ |
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C $Name: $ |
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|
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#include "CPP_OPTIONS.h" |
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#undef CHECK_ANALYLIC_THETA |
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|
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CBOP |
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C !ROUTINE: INI_P_GROUND |
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C !INTERFACE: |
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SUBROUTINE INI_P_GROUND(selectMode, |
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& Hfld, Pfld, |
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I myThid ) |
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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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|
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C !USES: |
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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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#include "SURFACE.h" |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C == Routine arguments == |
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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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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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_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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|
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C !LOCAL VARIABLES: |
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C == Local variables == |
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C msgBuf :: Informational/error message 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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INTEGER bi,bj,i,j,k, ks |
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_RL Po_surf |
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_RL hRef(2*Nr+1), rHalf(2*Nr+1) |
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LOGICAL findPoSurf |
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|
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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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_RL psNorm, rMidKp1 |
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_RL ratioRm(Nr), ratioRp(Nr) |
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INTEGER kLev |
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#ifdef CHECK_ANALYLIC_THETA |
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_RL tmpVar(nLevHvR,61) |
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#endif |
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CEOP |
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|
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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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|
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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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|
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C- Reference Geopotential at Half levels : |
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C Tracer level: hRef(2k) ; Interface_W level: hRef(2k+1) |
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C- Convert phiRef to Z unit : |
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DO k=1,2*Nr+1 |
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hRef(k) = phiRef(k)*recip_gravity |
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ENDDO |
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|
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IF (selectFindRoSurf.EQ.0 .AND. selectMode .GT. 0 ) THEN |
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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.hRef(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)-hRef(ks))/(hRef(ks+1)-hRef(ks)) |
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|
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c IF (Hfld(i,j,bi,bj).LT.hRef(1)) Po_surf= rHalf(1) |
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c IF (Hfld(i,j,bi,bj).GT.hRef(2*Nr+1)) Po_surf=rHalf(2*Nr+1) |
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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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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C-- endif selectFindRoSurf=0 & selectMode > 0 |
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ENDIF |
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|
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IF ( selectFindRoSurf.EQ.1 ) THEN |
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C-- define high resolution Pressure discretization: |
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|
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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)= rF(1)/atm_Po |
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PiHvR(1) = atm_Cp*(pLevHvR(1)**atm_kappa) |
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DO k=1,nLevHvR |
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pLevHvR(k+1)= pLevHvR(1) - 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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|
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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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|
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#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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|
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C-- endif selectFindRoSurf=1 |
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ENDIF |
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|
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IF ( selectFindRoSurf*selectMode .GT. 0) THEN |
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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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|
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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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|
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DO j=1,sNy |
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DO i=1,sNx |
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phiLoc = Hfld(i,j,bi,bj) - hRef(1) |
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IF ( phiLoc .LE. 0. _d 0 ) THEN |
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Pfld(i,j,bi,bj) = rF(1) |
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ELSE |
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yLatLoc = yC(i,j,bi,bj) |
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CALL ANALYLIC_THETA( yLatLoc, pMidHvR, |
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& thetaHvR, nLevHvR, myThid ) |
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zLoc = 0. |
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DO k=1,nLevHvR |
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IF (zLoc.GE.0.) THEN |
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C- compute phi/g corresponding to next p_level: |
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dzLoc = dPiHvR(k)*thetaHvR(k)*recip_gravity |
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IF ( phiLoc .LE. zLoc+dzLoc ) THEN |
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C- compute the normalized surf. Pressure psNorm |
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PiLoc = PiHvR(k) |
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& - gravity*( phiLoc - zLoc )/thetaHvR(k) |
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psNorm = (PiLoc/atm_Cp)**recip_kappa |
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C- use linear interpolation: |
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c psNorm = pLevHvR(k) |
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c & - dpHvR*( phiLoc - zLoc )/dzLoc |
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zLoc = -1. |
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ELSE |
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zLoc = zLoc + dzLoc |
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ENDIF |
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ENDIF |
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ENDDO |
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IF (zLoc.GE.0.) THEN |
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WRITE(msgBuf,'(2A)') |
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& 'INI_P_GROUND: FAIL in trying to find Pfld:', |
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& ' selectMode,i,j,bi,bj=',selectMode,i,j,bi,bj |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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WRITE(msgBuf,'(A,F7.1,2A,F6.4,A,F8.0)') |
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& 'INI_P_GROUND: Hfld=', Hfld(i,j,bi,bj), ' exceeds', |
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& ' Zloc(lowest P=', pLevHvR(1+nLevHvR),' )=',zLoc |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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STOP 'ABNORMAL END: S/R INI_P_GROUND' |
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ELSE |
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Pfld(i,j,bi,bj) = psNorm*atm_Po |
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ENDIF |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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IF (selectMode.EQ.2 .AND. integr_GeoPot.NE.1) THEN |
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C--------- |
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C Modify pressure to account for non fully linear relation between |
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C Phi & p (due to numerical truncation of the Finite Difference scheme) |
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C--------- |
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DO j=1,sNy |
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DO i=1,sNx |
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Po_surf = Pfld(i,j,bi,bj) |
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IF ( Po_surf.LT.rC(1) .AND. Po_surf.GT.rC(Nr) ) THEN |
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findPoSurf = .TRUE. |
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DO k=1,Nr |
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IF ( findPoSurf .AND. Po_surf.GE.rC(k) ) THEN |
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Po_surf = rC(k) + (Po_surf-rC(k))/ratioRm(k) |
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findPoSurf = .FALSE. |
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ENDIF |
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rMidKp1 = rF(k+1) |
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IF (k.LT.Nr) rMidKp1 = (rC(k)+rC(k+1))*0.5 _d 0 |
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IF ( findPoSurf .AND. Po_surf.GE.rMidKp1 ) THEN |
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Po_surf = rC(k) + (Po_surf-rC(k))/ratioRp(k) |
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findPoSurf = .FALSE. |
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ENDIF |
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ENDDO |
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IF ( findPoSurf ) |
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& STOP 'S/R INI_P_GROUND: Pb with selectMode=2' |
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ENDIF |
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Pfld(i,j,bi,bj) = Po_surf |
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ENDDO |
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ENDDO |
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C--------- |
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ENDIF |
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|
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C- end bi,bj loop. |
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ENDDO |
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ENDDO |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C-- endif selectFindRoSurf*selectMode > 0 |
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ENDIF |
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|
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IF (selectMode .LT. 0) THEN |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C--- Compute Hfld = Phi(Pfld)/g. |
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|
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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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|
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C-- Compute Hfld from g*Hfld = hRef(Po_surf) |
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DO j=1,sNy |
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DO i=1,sNx |
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C- compute phiLoc = hRef(Ro_surf): |
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ks = kSurfC(i,j,bi,bj) |
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IF (ks.LE.Nr) THEN |
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C- sigma coord. case (=> uniform kSurfC), find true ks: |
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IF ( selectSigmaCoord.NE.0 ) THEN |
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DO k=2,Nr |
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IF ( Pfld(i,j,bi,bj).LT.rF(k) ) ks = k |
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ENDDO |
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ENDIF |
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IF ( Pfld(i,j,bi,bj).GE.rC(ks) ) THEN |
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phiLoc = hRef(2*ks) |
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& + (hRef(2*ks-1)-hRef(2*ks)) |
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& *(Pfld(i,j,bi,bj)-rC(ks))/(rHalf(2*ks-1)-rHalf(2*ks)) |
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ELSE |
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phiLoc = hRef(2*ks) |
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& + (hRef(2*ks+1)-hRef(2*ks)) |
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& *(Pfld(i,j,bi,bj)-rC(ks))/(rHalf(2*ks+1)-rHalf(2*ks)) |
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ENDIF |
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Hfld(i,j,bi,bj) = phiLoc |
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ELSE |
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Hfld(i,j,bi,bj) = 0. |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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IF (selectFindRoSurf.EQ.1) THEN |
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C----- |
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C goal: evaluate phi0surf (used for computing geopotential_prime = Phi - PhiRef): |
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C phi0surf = g*Ztopo-PhiRef(Ro_surf) if no truncation was applied to Ro_surf; |
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C but because of hFacMin, surf.ref.pressure (=Ro_surf) is truncated and |
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C phi0surf = Phi(Theta-Analytic,P=Ro_surf) - PhiRef(P=Ro_surf) |
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C----- |
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C-- Compute Hfld from g*Hfld = Phi[Po_surf,theta(yLat,p)]: |
| 305 |
DO j=1,sNy |
| 306 |
DO i=1,sNx |
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zLoc = hRef(1) |
| 308 |
IF ( Pfld(i,j,bi,bj) .LT. rF(1) ) THEN |
| 309 |
Po_surf = Pfld(i,j,bi,bj) |
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C--------- |
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C Modify pressure to account for non fully linear relation between |
| 312 |
C Phi & p (due to numerical truncation of the Finite Difference scheme) |
| 313 |
IF (selectMode.EQ.-2 .AND. integr_GeoPot.NE.1) THEN |
| 314 |
IF ( Po_surf.LT.rC(1) .AND. Po_surf.GT.rC(Nr) ) THEN |
| 315 |
findPoSurf = .TRUE. |
| 316 |
DO k=1,Nr |
| 317 |
IF ( findPoSurf .AND. Po_surf.GE.rC(k) ) THEN |
| 318 |
Po_surf = rC(k) + (Po_surf-rC(k))*ratioRm(k) |
| 319 |
findPoSurf = .FALSE. |
| 320 |
ENDIF |
| 321 |
IF ( findPoSurf .AND. Po_surf.GE.rF(k+1) ) THEN |
| 322 |
Po_surf = rC(k) + (Po_surf-rC(k))*ratioRp(k) |
| 323 |
findPoSurf = .FALSE. |
| 324 |
ENDIF |
| 325 |
ENDDO |
| 326 |
ENDIF |
| 327 |
ENDIF |
| 328 |
C--------- |
| 329 |
psNorm = Po_surf/atm_Po |
| 330 |
kLev = 1 + INT( (pLevHvR(1)-psNorm)/dpHvR ) |
| 331 |
yLatLoc = yC(i,j,bi,bj) |
| 332 |
CALL ANALYLIC_THETA( yLatLoc, pMidHvR, |
| 333 |
& thetaHvR, kLev, myThid ) |
| 334 |
C- compute height at level pLev(kLev) just below Pfld: |
| 335 |
DO k=1,kLev-1 |
| 336 |
dzLoc = dPiHvR(k)*thetaHvR(k)*recip_gravity |
| 337 |
zLoc = zLoc + dzLoc |
| 338 |
ENDDO |
| 339 |
dzLoc = ( PiHvR(kLev)-atm_Cp*(psNorm**atm_kappa) ) |
| 340 |
& * thetaHvR(kLev)*recip_gravity |
| 341 |
zLoc = zLoc + dzLoc |
| 342 |
ENDIF |
| 343 |
C- compute phi0surf = Phi[Po_surf,theta(yLat,p)] - PhiRef(Po_surf) |
| 344 |
phi0surf(i,j,bi,bj) = gravity*(zLoc - Hfld(i,j,bi,bj)) |
| 345 |
C- save Phi[Po_surf,theta(yLat,p)] in Hfld (replacing PhiRef(Po_surf)): |
| 346 |
Hfld(i,j,bi,bj) = zLoc |
| 347 |
ENDDO |
| 348 |
ENDDO |
| 349 |
C- endif selectFindRoSurf=1 |
| 350 |
ENDIF |
| 351 |
|
| 352 |
C- end bi,bj loop. |
| 353 |
ENDDO |
| 354 |
ENDDO |
| 355 |
|
| 356 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 357 |
C-- endif selectMode < 0 |
| 358 |
ENDIF |
| 359 |
|
| 360 |
RETURN |
| 361 |
END |
| 362 |
|
| 363 |
CBOP |
| 364 |
C !SUBROUTINE: ANALYLIC_THETA |
| 365 |
C !INTERFACE: |
| 366 |
SUBROUTINE ANALYLIC_THETA( yLat, pNlev, |
| 367 |
O thetaLev, |
| 368 |
I kSize, myThid ) |
| 369 |
|
| 370 |
C !DESCRIPTION: \bv |
| 371 |
C *==========================================================* |
| 372 |
C | SUBROUTINE ANALYLIC_THETA |
| 373 |
C | o Conpute analyticaly the potential temperature Theta |
| 374 |
C | as a function of Latitude (yLat) and normalized |
| 375 |
C | pressure pNlev. |
| 376 |
C | approximatively match the N-S symetric, zonal-mean and |
| 377 |
C | annual-mean NCEP climatology in the troposphere. |
| 378 |
C *==========================================================* |
| 379 |
C \ev |
| 380 |
|
| 381 |
C !USES: |
| 382 |
IMPLICIT NONE |
| 383 |
|
| 384 |
C == Global variables == |
| 385 |
#include "SIZE.h" |
| 386 |
#include "EEPARAMS.h" |
| 387 |
#include "PARAMS.h" |
| 388 |
|
| 389 |
C !INPUT/OUTPUT PARAMETERS: |
| 390 |
C == Routine arguments == |
| 391 |
C yLat :: latitude (degre) |
| 392 |
C pNlev :: normalized pressure levels |
| 393 |
C kSize :: dimension of pNlev & ANALYLIC_THETA |
| 394 |
C myThid :: Thread number for this instance of the routine |
| 395 |
INTEGER kSize |
| 396 |
_RL yLat |
| 397 |
_RL pNlev (kSize) |
| 398 |
_RL thetaLev(kSize) |
| 399 |
INTEGER myThid |
| 400 |
|
| 401 |
C !LOCAL VARIABLES: |
| 402 |
C == Local variables == |
| 403 |
INTEGER k |
| 404 |
_RL yyA, yyB, yyC, yyAd, yyBd, yyCd |
| 405 |
_RL cAtmp, cBtmp, ttdC |
| 406 |
_RL ppN0, ppN1, ppN2, ppN3a, ppN3b, ppN4 |
| 407 |
_RL ttp1, ttp2, ttp3, ttp4, ttp5 |
| 408 |
_RL yAtmp, yBtmp, yCtmp, yDtmp |
| 409 |
_RL ttp2y, ttp4y, a1tmp |
| 410 |
_RL ppl, ppm, pph, ppr |
| 411 |
CEOP |
| 412 |
|
| 413 |
DATA yyA , yyB , yyC , yyAd , yyBd , yyCd |
| 414 |
& / 45. _d 0, 65. _d 0, 65. _d 0, .9 _d 0, .9 _d 0, 10. _d 0 / |
| 415 |
DATA cAtmp , cBtmp , ttdC |
| 416 |
& / 2.6 _d 0, 1.5 _d 0, 3.3 _d 0 / |
| 417 |
DATA ppN0 , ppN1 , ppN2 , ppN3a , ppN3b , ppN4 |
| 418 |
& / .1 _d 0, .19 _d 0, .3 _d 0, .9 _d 0, .7 _d 0, .925 _d 0 / |
| 419 |
DATA ttp1 , ttp2 , ttp3 , ttp4 , ttp5 |
| 420 |
& / 350. _d 0, 342. _d 0, 307. _d 0, 301. _d 0, 257. _d 0 / |
| 421 |
|
| 422 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 423 |
|
| 424 |
yAtmp = ABS(yLat) - yyA |
| 425 |
yAtmp = yyA + MIN(0. _d 0,yAtmp/yyAd) + MAX(yAtmp, 0. _d 0) |
| 426 |
yAtmp = COS( deg2rad*MAX(yAtmp, 0. _d 0) ) |
| 427 |
yBtmp = ABS(yLat) - yyB |
| 428 |
yBtmp = yyB + yBtmp/yyBd |
| 429 |
yBtmp = COS( deg2rad*MAX( 0. _d 0, MIN(yBtmp,90. _d 0) ) ) |
| 430 |
yCtmp = ABS(yLat) - yyC |
| 431 |
yCtmp = MAX( 0. _d 0, 1. _d 0 - (yCtmp/yyCd)**2 ) |
| 432 |
yDtmp = ppN3a +(ppN3b - ppN3a)*yCtmp |
| 433 |
ttp2y = ttp3 + (ttp2-ttp3)*yAtmp**cAtmp |
| 434 |
ttp4y = ttp5 + (ttp4-ttp5)*yBtmp**cBtmp |
| 435 |
a1tmp = (ttp1-ttp2y)*ppN1*ppN2/(ppN2-ppN1) |
| 436 |
DO k=1,kSize |
| 437 |
ppl = MIN(pNlev(k),ppN1) |
| 438 |
ppm = MIN(MAX(pNlev(k),ppN1),ppN2) |
| 439 |
pph = MAX(pNlev(k),ppN2) |
| 440 |
ppr =( ppN0 + ABS(ppl-ppN0) - ppN1 )/(ppN2-ppN1) |
| 441 |
thetaLev(k) = |
| 442 |
& ( (1. _d 0 -ppr)*ttp1*ppN1**atm_kappa |
| 443 |
& + ppr*ttp2y*ppN2**atm_kappa |
| 444 |
& )*ppl**(-atm_kappa) |
| 445 |
& + a1tmp*(1. _d 0 /ppm - 1. _d 0/ppN1) |
| 446 |
& + (ttp4y-ttp2y)*(pph-ppN2)/(ppN4-ppN2) |
| 447 |
& + (ttdC+yCtmp)*MAX(0. _d 0,pNlev(k)-yDtmp)/(1-yDtmp) |
| 448 |
ENDDO |
| 449 |
|
| 450 |
C--------------------------------------------------- |
| 451 |
C matlab script, input: pN, yp=abs(yLat) |
| 452 |
C pN0=.1; pN1=.19 ; pN2=.3; pN4=.925; |
| 453 |
C pm=min(max(pN,pN1),pN2); pp=max(pN,pN2); |
| 454 |
C pl=min(pN,pN1); pr=(pN0+abs(pl-pN0)-pN1)/(pN2-pN1); |
| 455 |
C |
| 456 |
C yA=yp-45; yA=45+min(0,yA/.9)+max(0,yA); yA=max(0,yA); cosyA=cos(yA*rad) ; |
| 457 |
C yB=yp-65; yB=65+yB/.9; yB=min(max(0,yB),90); cosyB=cos(yB*rad) ; |
| 458 |
C tp1=350*ones(nyA,1); |
| 459 |
C tp2=307+(342-307)*cosyA.^2.6; |
| 460 |
C tp4=257+(301-257)*cosyB.^1.5; |
| 461 |
C a1=(tp1-tp2)*pN1*pN2/(pN2-pN1); |
| 462 |
C pF=max(0,1.-((yp-65)/10).^2); pT=.9+(0.7-.9)*pF; |
| 463 |
C |
| 464 |
C tA0=((1-pr(k))*tp1(j)*pN1^kappa+pr(k)*tp2(j)*pN2^kappa)*pl(k)^-kappa; |
| 465 |
C tA1=a1(j)*(1./pm(k)-1./pN1); |
| 466 |
C tA2=(tp4(j)-tp2(j))*(pp(k)-pN2)/(pN4-pN2); |
| 467 |
C tA3=(3.3+pF(j))*max(0,pN(k)-pT(j))/(1-pT(j)); |
| 468 |
C tAn(j,k)=tA0+tA1+tA2+tA3; |
| 469 |
C--------------------------------------------------- |
| 470 |
|
| 471 |
RETURN |
| 472 |
END |
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