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C $Header: /u/gcmpack/MITgcm/model/src/ini_vertical_grid.F,v 1.22 2013/07/26 14:22:22 jmc Exp $ |
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C $Name: $ |
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|
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#include "CPP_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: INI_VERTICAL_GRID |
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C !INTERFACE: |
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SUBROUTINE INI_VERTICAL_GRID( myThid ) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE INI_VERTICAL_GRID |
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C | o Initialise vertical gridding arrays |
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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 "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.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 myThid :: my Thread Id number |
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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 k :: loop index |
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C msgBuf :: Informational/error message buffer |
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INTEGER k |
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_RL tmpRatio, checkRatio1, checkRatio2 |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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_RL maxErrC, maxErrF, epsil, tmpError |
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_RL rFullDepth, recip_fullDepth |
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_RS rSigBndRS, tmpRS |
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CEOP |
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|
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_BEGIN_MASTER(myThid) |
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|
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WRITE(msgBuf,'(A,2(A,L5))') 'Enter INI_VERTICAL_GRID:', |
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& ' setInterFDr=', setInterFDr, |
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& ' ; setCenterDr=', setCenterDr |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT, myThid ) |
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|
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C-- Set factors required for mixing pressure and meters as vertical coordinate. |
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C rkSign is a "sign" parameter which is used where the orientation of the vertical |
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C coordinate (pressure or meters) relative to the vertical index (k) is important. |
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C rkSign = -1 applies when k and the coordinate are in the opposite sense. |
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C rkSign = 1 applies when k and the coordinate are in the same sense. |
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rkSign = -1. _d 0 |
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gravitySign = -1. _d 0 |
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IF ( usingPCoords ) THEN |
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gravitySign = 1. _d 0 |
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ENDIF |
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|
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IF ( .NOT.(setInterFDr.OR.setCenterDr) ) THEN |
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WRITE(msgBuf,'(A)') |
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& 'S/R INI_VERTICAL_GRID: neither delR nor delRc are defined' |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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WRITE(msgBuf,'(A)') |
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& 'S/R INI_VERTICAL_GRID: Need at least 1 of the 2 (delR,delRc)' |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID' |
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ENDIF |
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|
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C--- Set Level r-thickness (drF) and Center r-distances (drC) |
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|
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IF (setInterFDr) THEN |
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C-- Interface r-distances are defined: |
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DO k=1,Nr |
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drF(k) = delR(k) |
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ENDDO |
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C- Check that all thickness are > 0 : |
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DO k=1,Nr |
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IF (delR(k).LE.0.) THEN |
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WRITE(msgBuf,'(A,I4,A,E16.8)') |
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& 'S/R INI_VERTICAL_GRID: delR(k=',k,' )=',delR(k) |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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WRITE(msgBuf,'(A)') |
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& 'S/R INI_VERTICAL_GRID: Vert. grid spacing MUST BE > 0' |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID' |
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ENDIF |
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ENDDO |
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ELSE |
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C-- Interface r-distances undefined: |
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C assume Interface at middle between 2 Center |
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drF(1) = delRc(1) |
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DO k=2,Nr |
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c drF(k-1) = 0.5 _d 0 *delRc(k) + drF(k-1) |
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c drF( k ) = 0.5 _d 0 *delRc(k) |
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C- note: change the order to prevent some compilers to produce wrong code |
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C when trying to optimise this loop : |
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drF( k ) = 0.5 _d 0 *delRc(k) |
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drF(k-1) = 0.5 _d 0 *delRc(k) + drF(k-1) |
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ENDDO |
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drF(Nr) = delRc(Nr+1) + drF(Nr) |
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ENDIF |
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|
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IF (setCenterDr) THEN |
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C-- Cell Center r-distances are defined: |
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DO k=1,Nr+1 |
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drC(k) = delRc(k) |
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ENDDO |
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C- Check that all thickness are > 0 : |
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DO k=1,Nr+1 |
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IF (delRc(k).LE.0.) THEN |
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WRITE(msgBuf,'(A,I4,A,E16.8)') |
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& 'S/R INI_VERTICAL_GRID: delRc(k=',k,' )=',delRc(k) |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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WRITE(msgBuf,'(A)') |
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& 'S/R INI_VERTICAL_GRID: Vert. grid spacing MUST BE > 0' |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID' |
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ENDIF |
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ENDDO |
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ELSE |
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C-- Cell Center r-distances undefined: |
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C assume Center at middle between 2 Interfaces |
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drC(1) = 0.5 _d 0 *delR(1) |
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DO k=2,Nr |
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drC(k) = 0.5 _d 0 *(delR(k-1)+delR(k)) |
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ENDDO |
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drC(Nr+1) = 0.5 _d 0 *delR(Nr) |
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ENDIF |
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|
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C--- Set r-position of interFace (rF) and cell-Center (rC): |
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C -- Use top_Pres or seaLev_Z to set vertical axis position: |
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C OCN in Z: top_Pres(Ref) (= rhoConst*PhiRef(1)), seaLev_Z (=rF(1), @ the top) |
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C ATM in Z: top_Pres(Ref) (= rhoConst*PhiRef(1)), seaLev_Z (=rF(Nr+1), @ bottom) |
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C OCN in P: top_Pres (=rF(Nr+1)), seaLev_Z (<-> PhiRef(Nr+1)/g, @ the top) |
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C ATM in P: top_Pres (=rF(Nr+1)), seaLev_Z (<-> PhiRef(1)/g, @ the bottom) |
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IF ( rF(1).EQ.UNSET_RS .AND. |
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& usingZCoords.AND.fluidIsWater ) THEN |
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rF(1) = seaLev_Z |
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ENDIF |
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IF ( rF(1).NE.UNSET_RS ) THEN |
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DO k=1,Nr |
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rF(k+1) = rF(k) + rkSign*drF(k) |
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ENDDO |
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rC(1) = rF(1) + rkSign*drC(1) |
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DO k=2,Nr |
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rC(k) = rC(k-1) + rkSign*drC(k) |
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ENDDO |
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c IF ( usingPCoords ) THEN |
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c top_Pres = rF(Nr+1) |
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c ELSEIF ( fluidIsWater ) THEN |
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c seaLev_Z = rF(1) |
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c ELSE |
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c seaLev_Z = rF(Nr+1) |
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c ENDIF |
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ELSE |
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IF ( usingPCoords ) THEN |
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rF(Nr+1) = top_Pres |
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ELSE |
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rF(Nr+1) = seaLev_Z |
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ENDIF |
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DO k=Nr,1,-1 |
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rF(k) = rF(k+1) - rkSign*drF(k) |
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ENDDO |
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rC(Nr) = rF(Nr+1) - rkSign*drC(Nr+1) |
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DO k=Nr,2,-1 |
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rC(k-1) = rC(k) - rkSign*drC(k) |
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ENDDO |
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ENDIF |
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|
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C--- Check vertical discretization : |
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checkRatio2 = 100. |
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checkRatio1 = 1. _d 0 / checkRatio2 |
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DO k=1,Nr |
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tmpRatio = 0. |
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IF ( (rC(k)-rF(k+1)) .NE. 0. ) |
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& tmpRatio = (rF(k)-rC(k)) / (rC(k)-rF(k+1)) |
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IF ( tmpRatio.LT.checkRatio1 .OR. tmpRatio.GT.checkRatio2 ) THEN |
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c write(0,*) 'drF=',drF |
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c write(0,*) 'drC=',drC |
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c write(0,*) 'rF=',rF |
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c write(0,*) 'rC=',rC |
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WRITE(msgBuf,'(A,I4,A,E16.8)') |
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& 'S/R INI_VERTICAL_GRID: Invalid relative position, level k=', |
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& k, ' :', tmpRatio |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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WRITE(msgBuf,'(A,1PE14.6,A,2E14.6)') |
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& 'S/R INI_VERTICAL_GRID: rC=', rC(k), |
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& ' , rF(k,k+1)=',rF(k),rF(k+1) |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID' |
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ENDIF |
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ENDDO |
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|
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C- Calculate reciprol vertical grid spacing : |
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DO k=1,Nr+1 |
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recip_drC(k) = 1. _d 0/drC(k) |
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ENDDO |
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DO k=1,Nr |
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recip_drF(k) = 1. _d 0/drF(k) |
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ENDDO |
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|
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C--- Hybrid-Sigma vertical coordinate: |
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IF ( selectSigmaCoord .EQ. 0 ) THEN |
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DO k=1,Nr+1 |
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aHybSigmF(k) = 0. _d 0 |
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bHybSigmF(k) = 0. _d 0 |
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dAHybSigC(k) = 0. _d 0 |
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dAHybSigC(k) = 0. _d 0 |
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ENDDO |
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DO k=1,Nr |
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aHybSigmC(k) = 0. _d 0 |
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bHybSigmC(k) = 0. _d 0 |
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dAHybSigF(k) = 0. _d 0 |
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dAHybSigF(k) = 0. _d 0 |
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ENDDO |
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ELSE |
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rFullDepth = rF(1) - rF(Nr+1) |
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recip_fullDepth = 0. _d 0 |
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IF ( rFullDepth.GT.0. ) recip_fullDepth = 1. _d 0 / rFullDepth |
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rSigBndRS = rSigmaBnd |
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IF ( hybSigmFile.EQ.' ' .AND. rSigmaBnd.EQ.UNSET_RL ) THEN |
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C- Default is pure sigma: |
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IF ( usingPCoords ) rSigBndRS = rF(Nr+1) |
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IF ( usingZCoords ) rSigBndRS = rF(1) |
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ENDIF |
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c IF ( hybSigmFile.EQ.' ' .AND. rSigmaBnd.EQ.UNSET_RL ) THEN |
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C- compute coeff as pure sigma coordinate |
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c DO k=1,Nr+1 |
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c aHybSigmF(k) = 0. |
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c bHybSigmF(k) = (rF(k)-rF(Nr+1))*recip_fullDepth |
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c ENDDO |
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c DO k=1,Nr |
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c aHybSigmC(k) = 0. |
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c bHybSigmC(k) = (rC(k)-rF(Nr+1))*recip_fullDepth |
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c ENDDO |
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c ELSEIF ( hybSigmFile.EQ.' ' ) THEN |
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IF ( hybSigmFile.EQ.' ' ) THEN |
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C-- compute coeff assuming fixed r-coord above rSigmaBnd and pure sigma below |
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IF ( usingPCoords .AND. setInterFDr ) THEN |
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C- Alternative method : p = pTop + A*DeltaFullP + B*(eta+Pr_surf - rSigmaBnd) |
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c aHybSigmF(k) = ( MIN(rF(k),rSigmaBnd) - rF(Nr+1) ) |
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c & *recip_fullDepth |
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c bHybSigmF(k) = ( MAX(rF(k),rSigmaBnd) - rSigmaBnd ) |
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c & /( rF(1) - rSigmaBnd ) |
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C- Standard method : p = pTop + A*DeltaFullP + B*(eta+Ro_surf - pTop) |
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C sigma part goes from 0 @ rSigmaBnd (and above) to 1 @ surface |
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DO k=1,Nr+1 |
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C- separate the 2 cases: |
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c IF ( rF(k).LE.rSigmaBnd ) THEN |
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c bHybSigmF(k) = 0. |
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c aHybSigmF(k) = ( rF(k) - rF(Nr+1) )*recip_fullDepth |
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c ELSE |
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c bHybSigmF(k) = (rF(k)-rSigmaBnd)/(rF(1)-rSigmaBnd) |
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c aHybSigmF(k) = (1. _d 0 - bHybSigmF(k)) |
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c & *(rSigmaBnd-rF(Nr+1) )*recip_fullDepth |
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c ENDIF |
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C- unique formula using min fct: |
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tmpRS = MIN( rF(k), rSigBndRS ) |
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bHybSigmF(k) = ( rF(k) - tmpRS )/(rF(1)-rSigBndRS) |
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aHybSigmF(k) = (1. _d 0 - bHybSigmF(k)) |
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& *( tmpRS -rF(Nr+1) )*recip_fullDepth |
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ENDDO |
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ENDIF |
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IF ( usingPCoords .AND. setCenterDr ) THEN |
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DO k=1,Nr |
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C- separate the 2 cases: |
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c IF ( rC(k).LE.rSigmaBnd ) THEN |
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c bHybSigmC(k) = 0. |
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c aHybSigmC(k) = ( rC(k) - rF(Nr+1) )*recip_fullDepth |
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c ELSE |
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c bHybSigmC(k) = (rC(k)-rSigmaBnd)/(rF(1)-rSigmaBnd) |
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c aHybSigmC(k) = (1. _d 0 - bHybSigmC(k)) |
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c & *(rSigmaBnd-rF(Nr+1) )*recip_fullDepth |
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c ENDIF |
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C- unique formula using min fct: |
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tmpRS = MIN( rC(k), rSigBndRS ) |
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bHybSigmC(k) = ( rC(k) - tmpRS )/(rF(1)-rSigBndRS) |
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aHybSigmC(k) = (1. _d 0 - bHybSigmC(k)) |
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& *( tmpRS -rF(Nr+1) )*recip_fullDepth |
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ENDDO |
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ENDIF |
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IF ( usingZCoords .AND. setInterFDr ) THEN |
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C- Standard method : z = zBot + A*DeltaFullZ + B*(eta+Ro_surf - zBot) |
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C sigma part goes from 1 @ rSigmaBnd (and above) to 0 @ bottom |
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DO k=1,Nr+1 |
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C- separate the 2 cases: |
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c IF ( rF(k).GE.rSigmaBnd ) THEN |
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c bHybSigmF(k) = 1. |
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c aHybSigmF(k) = ( rF(k)-rF(1) )*recip_fullDepth |
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c ELSE |
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c bHybSigmF(k) = ( rF(k)-rF(Nr+1) )/( rSigmaBnd-rF(Nr+1) ) |
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c aHybSigmF(k) = bHybSigmF(k)*(rSigmaBnd-rF(1))*recip_fullDepth |
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c ENDIF |
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C- unique formula using max fct: |
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tmpRS = MAX( rF(k), rSigBndRS ) |
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bHybSigmF(k) = ( rF(k)-rF(Nr+1) )/( tmpRS-rF(Nr+1) ) |
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aHybSigmF(k) = bHybSigmF(k)*( tmpRS-rF(1) )*recip_fullDepth |
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ENDDO |
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ENDIF |
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IF ( usingZCoords .AND. setCenterDr ) THEN |
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DO k=1,Nr |
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C- separate the 2 cases: |
| 306 |
c IF ( rC(k).GE.rSigmaBnd ) THEN |
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c bHybSigmC(k) = 1. |
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c aHybSigmC(k) = ( rC(k)-rF(1) )*recip_fullDepth |
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c ELSE |
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c bHybSigmC(k) = ( rC(k)-rF(Nr+1) )/( rSigmaBnd-rF(Nr+1) ) |
| 311 |
c aHybSigmC(k) = bHybSigmC(k)*(rSigmaBnd-rF(1))*recip_fullDepth |
| 312 |
c ENDIF |
| 313 |
C- unique formula using max fct: |
| 314 |
tmpRS = MAX( rC(k), rSigBndRS ) |
| 315 |
bHybSigmC(k) = ( rC(k)-rF(Nr+1) )/( tmpRS-rF(Nr+1) ) |
| 316 |
aHybSigmC(k) = bHybSigmC(k)*( tmpRS-rF(1) )*recip_fullDepth |
| 317 |
ENDDO |
| 318 |
ENDIF |
| 319 |
ELSE |
| 320 |
C-- Coeff at interface are read from file |
| 321 |
IF (setCenterDr) THEN |
| 322 |
STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID: Missing Code' |
| 323 |
ENDIF |
| 324 |
ENDIF |
| 325 |
|
| 326 |
C-- Finish setting (if not done) using simple averaging |
| 327 |
IF ( .NOT.setInterFDr ) THEN |
| 328 |
C- Interface position at the middle between 2 centers |
| 329 |
bHybSigmF(1) = 1. _d 0 |
| 330 |
aHybSigmF(1) = 0. _d 0 |
| 331 |
bHybSigmF(Nr+1) = 0. _d 0 |
| 332 |
aHybSigmF(Nr+1) = 0. _d 0 |
| 333 |
DO k=2,Nr |
| 334 |
bHybSigmF(k) = ( bHybSigmC(k) + bHybSigmC(k-1) )*0.5 _d 0 |
| 335 |
aHybSigmF(k) = ( aHybSigmC(k) + aHybSigmC(k-1) )*0.5 _d 0 |
| 336 |
ENDDO |
| 337 |
ENDIF |
| 338 |
IF ( .NOT.setCenterDr ) THEN |
| 339 |
C- Center position at the middle between 2 interfaces |
| 340 |
DO k=1,Nr |
| 341 |
bHybSigmC(k) = ( bHybSigmF(k) + bHybSigmF(k+1) )*0.5 _d 0 |
| 342 |
aHybSigmC(k) = ( aHybSigmF(k) + aHybSigmF(k+1) )*0.5 _d 0 |
| 343 |
ENDDO |
| 344 |
ENDIF |
| 345 |
|
| 346 |
C-- Vertical increment: |
| 347 |
DO k=1,Nr |
| 348 |
dAHybSigF(k) = ( aHybSigmF(k+1) - aHybSigmF(k) )*rkSign |
| 349 |
dBHybSigF(k) = ( bHybSigmF(k+1) - bHybSigmF(k) )*rkSign |
| 350 |
ENDDO |
| 351 |
DO k=2,Nr |
| 352 |
dAHybSigC(k) = ( aHybSigmC(k) - aHybSigmC(k-1) )*rkSign |
| 353 |
dBHybSigC(k) = ( bHybSigmC(k) - bHybSigmC(k-1) )*rkSign |
| 354 |
ENDDO |
| 355 |
dAHybSigC(1) = ( aHybSigmC(1) - aHybSigmF(1) )*rkSign |
| 356 |
dBHybSigC(1) = ( bHybSigmC(1) - bHybSigmF(1) )*rkSign |
| 357 |
dAHybSigC(Nr+1) = ( aHybSigmF(Nr+1) - aHybSigmC(Nr) )*rkSign |
| 358 |
dBHybSigC(Nr+1) = ( bHybSigmF(Nr+1) - bHybSigmC(Nr) )*rkSign |
| 359 |
|
| 360 |
C-- Check for miss-match between vertical discretization : |
| 361 |
maxErrC = 0. |
| 362 |
maxErrF = 0. |
| 363 |
epsil = 1. _d -9 |
| 364 |
DO k=1,Nr |
| 365 |
tmpError = ( rC(k)-rF(Nr+1) )*recip_fullDepth |
| 366 |
& - ( aHybSigmC(k)+bHybSigmC(k) ) |
| 367 |
IF ( ABS(tmpError).GT.epsil ) THEN |
| 368 |
IF ( maxErrC.LE.epsil ) THEN |
| 369 |
WRITE(msgBuf,'(2A)') 'S/R INI_VERTICAL_GRID:', |
| 370 |
& ' rC and Hybrid-Sigma Coeff miss-match' |
| 371 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 372 |
ENDIF |
| 373 |
WRITE(msgBuf,'(A,I4,2(A,1PE14.6),A,1P2E14.6)') |
| 374 |
& ' k=', k,' , err=', tmpError, ' ; rC=', rC(k), |
| 375 |
& ' , a & b=', aHybSigmC(k), bHybSigmC(k) |
| 376 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 377 |
ENDIF |
| 378 |
maxErrC = MAX( maxErrC, ABS(tmpError) ) |
| 379 |
ENDDO |
| 380 |
DO k=1,Nr+1 |
| 381 |
tmpError = ( rF(k)-rF(Nr+1) )*recip_fullDepth |
| 382 |
& - ( aHybSigmF(k)+bHybSigmF(k) ) |
| 383 |
IF ( ABS(tmpError).GT.epsil ) THEN |
| 384 |
IF ( maxErrF.LE.epsil ) THEN |
| 385 |
WRITE(msgBuf,'(2A)') 'S/R INI_VERTICAL_GRID:', |
| 386 |
& ' rF and Hybrid-Sigma Coeff miss-match' |
| 387 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 388 |
ENDIF |
| 389 |
WRITE(msgBuf,'(A,I4,2(A,1PE14.6),A,1P2E14.6)') |
| 390 |
& ' k=', k,' , err=', tmpError, ' ; rF=', rF(k), |
| 391 |
& ' , a & b=', aHybSigmF(k), bHybSigmF(k) |
| 392 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 393 |
ENDIF |
| 394 |
maxErrF = MAX( maxErrF, ABS(tmpError) ) |
| 395 |
ENDDO |
| 396 |
WRITE(msgBuf,'(2A,1PE14.6)') 'S/R INI_VERTICAL_GRID:', |
| 397 |
& ' matching of aHybSigmC & rC :', maxErrC |
| 398 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 399 |
& SQUEEZE_RIGHT, myThid ) |
| 400 |
WRITE(msgBuf,'(2A,1PE14.6)') 'S/R INI_VERTICAL_GRID:', |
| 401 |
& ' matching of aHybSigmF & rF :', maxErrF |
| 402 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 403 |
& SQUEEZE_RIGHT, myThid ) |
| 404 |
IF ( maxErrC.GT.epsil .OR. maxErrF.GT.epsil ) THEN |
| 405 |
WRITE(msgBuf,'(2A)') 'S/R INI_VERTICAL_GRID:', |
| 406 |
& ' rC,rF and Hybrid-Sigma Coeff miss-match' |
| 407 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 408 |
STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID' |
| 409 |
ENDIF |
| 410 |
|
| 411 |
C--- End setting-up Hybrid-Sigma vertical coordinate: |
| 412 |
ENDIF |
| 413 |
|
| 414 |
_END_MASTER(myThid) |
| 415 |
_BARRIER |
| 416 |
|
| 417 |
RETURN |
| 418 |
END |
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