C $Header: /u/gcmpack/MITgcm/model/src/ini_vertical_grid.F,v 1.20 2010/09/11 21:24:52 jmc Exp $
C $Name: $
#include "CPP_OPTIONS.h"
CBOP
C !ROUTINE: INI_VERTICAL_GRID
C !INTERFACE:
SUBROUTINE INI_VERTICAL_GRID( myThid )
C !DESCRIPTION: \bv
C *==========================================================*
C | SUBROUTINE INI_VERTICAL_GRID
C | o Initialise vertical gridding arrays
C *==========================================================*
C \ev
C !USES:
IMPLICIT NONE
C === Global variables ===
#include "SIZE.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "GRID.h"
C !INPUT/OUTPUT PARAMETERS:
C == Routine arguments ==
C myThid :: my Thread Id number
INTEGER myThid
C !LOCAL VARIABLES:
C == Local variables ==
C k :: loop index
C msgBuf :: Informational/error message buffer
INTEGER k
_RL tmpRatio, checkRatio1, checkRatio2
CHARACTER*(MAX_LEN_MBUF) msgBuf
_RL maxErrC, maxErrF, epsil, tmpError
_RL rFullDepth, recip_fullDepth
_RS rSigBndRS, tmpRS
CEOP
_BEGIN_MASTER(myThid)
WRITE(msgBuf,'(A,2(A,L5))') 'Enter INI_VERTICAL_GRID:',
& ' setInterFDr=', setInterFDr,
& ' ; setCenterDr=', setCenterDr
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
& SQUEEZE_RIGHT, myThid )
C-- Set factors required for mixing pressure and meters as vertical coordinate.
C rkSign is a "sign" parameter which is used where the orientation of the vertical
C coordinate (pressure or meters) relative to the vertical index (k) is important.
C rkSign = -1 applies when k and the coordinate are in the opposite sense.
C rkSign = 1 applies when k and the coordinate are in the same sense.
rkSign = -1. _d 0
gravitySign = -1. _d 0
IF ( usingPCoords ) THEN
gravitySign = 1. _d 0
ENDIF
IF ( .NOT.(setInterFDr.OR.setCenterDr) ) THEN
WRITE(msgBuf,'(A)')
& 'S/R INI_VERTICAL_GRID: neither delR nor delRc are defined'
CALL PRINT_ERROR( msgBuf, myThid )
WRITE(msgBuf,'(A)')
& 'S/R INI_VERTICAL_GRID: Need at least 1 of the 2 (delR,delRc)'
CALL PRINT_ERROR( msgBuf, myThid )
STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID'
ENDIF
C--- Set Level r-thickness (drF) and Center r-distances (drC)
IF (setInterFDr) THEN
C-- Interface r-distances are defined:
DO k=1,Nr
drF(k) = delR(k)
ENDDO
C- Check that all thickness are > 0 :
DO k=1,Nr
IF (delR(k).LE.0.) THEN
WRITE(msgBuf,'(A,I4,A,E16.8)')
& 'S/R INI_VERTICAL_GRID: delR(k=',k,' )=',delR(k)
CALL PRINT_ERROR( msgBuf, myThid )
WRITE(msgBuf,'(A)')
& 'S/R INI_VERTICAL_GRID: Vert. grid spacing MUST BE > 0'
CALL PRINT_ERROR( msgBuf, myThid )
STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID'
ENDIF
ENDDO
ELSE
C-- Interface r-distances undefined:
C assume Interface at middle between 2 Center
drF(1) = delRc(1)
DO k=2,Nr
drF(k-1) = 0.5 _d 0 *delRc(k) + drF(k-1)
drF( k ) = 0.5 _d 0 *delRc(k)
ENDDO
drF(Nr) = delRc(Nr+1) + drF(Nr)
ENDIF
IF (setCenterDr) THEN
C-- Cell Center r-distances are defined:
DO k=1,Nr
drC(k) = delRc(k)
ENDDO
C- Check that all thickness are > 0 :
DO k=1,Nr+1
IF (delRc(k).LE.0.) THEN
WRITE(msgBuf,'(A,I4,A,E16.8)')
& 'S/R INI_VERTICAL_GRID: delRc(k=',k,' )=',delRc(k)
CALL PRINT_ERROR( msgBuf, myThid )
WRITE(msgBuf,'(A)')
& 'S/R INI_VERTICAL_GRID: Vert. grid spacing MUST BE > 0'
CALL PRINT_ERROR( msgBuf, myThid )
STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID'
ENDIF
ENDDO
ELSE
C-- Cell Center r-distances undefined:
C assume Center at middle between 2 Interfaces
drC(1) = 0.5 _d 0 *delR(1)
DO k=2,Nr
drC(k) = 0.5 _d 0 *(delR(k-1)+delR(k))
ENDDO
ENDIF
C--- Set r-position of interFace (rF) and cell-Center (rC):
rF(1) = Ro_SeaLevel
DO k=1,Nr
rF(k+1) = rF(k) + rkSign*drF(k)
ENDDO
rC(1) = rF(1) + rkSign*drC(1)
DO k=2,Nr
rC(k) = rC(k-1) + rkSign*drC(k)
ENDDO
C--- Check vertical discretization :
checkRatio2 = 100.
checkRatio1 = 1. _d 0 / checkRatio2
DO k=1,Nr
tmpRatio = 0.
IF ( (rC(k)-rF(k+1)) .NE. 0. )
& tmpRatio = (rF(k)-rC(k)) / (rC(k)-rF(k+1))
IF ( tmpRatio.LT.checkRatio1 .OR. tmpRatio.GT.checkRatio2 ) THEN
c write(0,*) 'drF=',drF
c write(0,*) 'drC=',drC
c write(0,*) 'rF=',rF
c write(0,*) 'rC=',rC
WRITE(msgBuf,'(A,I4,A,E16.8)')
& 'S/R INI_VERTICAL_GRID: Invalid relative position, level k=',
& k, ' :', tmpRatio
CALL PRINT_ERROR( msgBuf, myThid )
WRITE(msgBuf,'(A,1PE14.6,A,2E14.6)')
& 'S/R INI_VERTICAL_GRID: rC=', rC(k),
& ' , rF(k,k+1)=',rF(k),rF(k+1)
CALL PRINT_ERROR( msgBuf, myThid )
STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID'
ENDIF
ENDDO
C- Calculate reciprol vertical grid spacing :
DO k=1,Nr
recip_drC(k) = 1. _d 0/drC(k)
recip_drF(k) = 1. _d 0/drF(k)
ENDDO
C--- Hybrid-Sigma vertical coordinate:
IF ( selectSigmaCoord .EQ. 0 ) THEN
DO k=1,Nr+1
aHybSigmF(k) = 0. _d 0
bHybSigmF(k) = 0. _d 0
dAHybSigC(k) = 0. _d 0
dAHybSigC(k) = 0. _d 0
ENDDO
DO k=1,Nr
aHybSigmC(k) = 0. _d 0
bHybSigmC(k) = 0. _d 0
dAHybSigF(k) = 0. _d 0
dAHybSigF(k) = 0. _d 0
ENDDO
ELSE
rFullDepth = rF(1) - rF(Nr+1)
recip_fullDepth = 0. _d 0
IF ( rFullDepth.GT.0. ) recip_fullDepth = 1. _d 0 / rFullDepth
rSigBndRS = rSigmaBnd
IF ( hybSigmFile.EQ.' ' .AND. rSigmaBnd.EQ.UNSET_RL ) THEN
C- Default is pure sigma:
IF ( usingPCoords ) rSigBndRS = rF(Nr+1)
IF ( usingZCoords ) rSigBndRS = rF(1)
ENDIF
c IF ( hybSigmFile.EQ.' ' .AND. rSigmaBnd.EQ.UNSET_RL ) THEN
C- compute coeff as pure sigma coordinate
c DO k=1,Nr+1
c aHybSigmF(k) = 0.
c bHybSigmF(k) = (rF(k)-rF(Nr+1))*recip_fullDepth
c ENDDO
c DO k=1,Nr
c aHybSigmC(k) = 0.
c bHybSigmC(k) = (rC(k)-rF(Nr+1))*recip_fullDepth
c ENDDO
c ELSEIF ( hybSigmFile.EQ.' ' ) THEN
IF ( hybSigmFile.EQ.' ' ) THEN
C-- compute coeff assuming fixed r-coord above rSigmaBnd and pure sigma below
IF ( usingPCoords .AND. setInterFDr ) THEN
C- Alternative method : p = pTop + A*DeltaFullP + B*(eta+Pr_surf - rSigmaBnd)
c aHybSigmF(k) = ( MIN(rF(k),rSigmaBnd) - rF(Nr+1) )
c & *recip_fullDepth
c bHybSigmF(k) = ( MAX(rF(k),rSigmaBnd) - rSigmaBnd )
c & /( rF(1) - rSigmaBnd )
C- Standard method : p = pTop + A*DeltaFullP + B*(eta+Ro_surf - pTop)
C sigma part goes from 0 @ rSigmaBnd (and above) to 1 @ surface
DO k=1,Nr+1
C- separate the 2 cases:
c IF ( rF(k).LE.rSigmaBnd ) THEN
c bHybSigmF(k) = 0.
c aHybSigmF(k) = ( rF(k) - rF(Nr+1) )*recip_fullDepth
c ELSE
c bHybSigmF(k) = (rF(k)-rSigmaBnd)/(rF(1)-rSigmaBnd)
c aHybSigmF(k) = (1. _d 0 - bHybSigmF(k))
c & *(rSigmaBnd-rF(Nr+1) )*recip_fullDepth
c ENDIF
C- unique formula using min fct:
tmpRS = MIN( rF(k), rSigBndRS )
bHybSigmF(k) = ( rF(k) - tmpRS )/(rF(1)-rSigBndRS)
aHybSigmF(k) = (1. _d 0 - bHybSigmF(k))
& *( tmpRS -rF(Nr+1) )*recip_fullDepth
ENDDO
ENDIF
IF ( usingPCoords .AND. setCenterDr ) THEN
DO k=1,Nr
C- separate the 2 cases:
c IF ( rC(k).LE.rSigmaBnd ) THEN
c bHybSigmC(k) = 0.
c aHybSigmC(k) = ( rC(k) - rF(Nr+1) )*recip_fullDepth
c ELSE
c bHybSigmC(k) = (rC(k)-rSigmaBnd)/(rF(1)-rSigmaBnd)
c aHybSigmC(k) = (1. _d 0 - bHybSigmC(k))
c & *(rSigmaBnd-rF(Nr+1) )*recip_fullDepth
c ENDIF
C- unique formula using min fct:
tmpRS = MIN( rC(k), rSigBndRS )
bHybSigmC(k) = ( rC(k) - tmpRS )/(rF(1)-rSigBndRS)
aHybSigmC(k) = (1. _d 0 - bHybSigmC(k))
& *( tmpRS -rF(Nr+1) )*recip_fullDepth
ENDDO
ENDIF
IF ( usingZCoords .AND. setInterFDr ) THEN
C- Standard method : z = zBot + A*DeltaFullZ + B*(eta+Ro_surf - zBot)
C sigma part goes from 1 @ rSigmaBnd (and above) to 0 @ bottom
DO k=1,Nr+1
C- separate the 2 cases:
c IF ( rF(k).GE.rSigmaBnd ) THEN
c bHybSigmF(k) = 1.
c aHybSigmF(k) = ( rF(k)-rF(1) )*recip_fullDepth
c ELSE
c bHybSigmF(k) = ( rF(k)-rF(Nr+1) )/( rSigmaBnd-rF(Nr+1) )
c aHybSigmF(k) = bHybSigmF(k)*(rSigmaBnd-rF(1))*recip_fullDepth
c ENDIF
C- unique formula using max fct:
tmpRS = MAX( rF(k), rSigBndRS )
bHybSigmF(k) = ( rF(k)-rF(Nr+1) )/( tmpRS-rF(Nr+1) )
aHybSigmF(k) = bHybSigmF(k)*( tmpRS-rF(1) )*recip_fullDepth
ENDDO
ENDIF
IF ( usingZCoords .AND. setCenterDr ) THEN
DO k=1,Nr
C- separate the 2 cases:
c IF ( rC(k).GE.rSigmaBnd ) THEN
c bHybSigmC(k) = 1.
c aHybSigmC(k) = ( rC(k)-rF(1) )*recip_fullDepth
c ELSE
c bHybSigmC(k) = ( rC(k)-rF(Nr+1) )/( rSigmaBnd-rF(Nr+1) )
c aHybSigmC(k) = bHybSigmC(k)*(rSigmaBnd-rF(1))*recip_fullDepth
c ENDIF
C- unique formula using max fct:
tmpRS = MAX( rC(k), rSigBndRS )
bHybSigmC(k) = ( rC(k)-rF(Nr+1) )/( tmpRS-rF(Nr+1) )
aHybSigmC(k) = bHybSigmC(k)*( tmpRS-rF(1) )*recip_fullDepth
ENDDO
ENDIF
ELSE
C-- Coeff at interface are read from file
IF (setCenterDr) THEN
STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID: Missing Code'
ENDIF
ENDIF
C-- Finish setting (if not done) using simple averaging
IF ( .NOT.setInterFDr ) THEN
C- Interface position at the middle between 2 centers
bHybSigmF(1) = 1. _d 0
aHybSigmF(1) = 0. _d 0
bHybSigmF(Nr+1) = 0. _d 0
aHybSigmF(Nr+1) = 0. _d 0
DO k=2,Nr
bHybSigmF(k) = ( bHybSigmC(k) + bHybSigmC(k-1) )*0.5 _d 0
aHybSigmF(k) = ( aHybSigmC(k) + aHybSigmC(k-1) )*0.5 _d 0
ENDDO
ENDIF
IF ( .NOT.setCenterDr ) THEN
C- Center position at the middle between 2 interfaces
DO k=1,Nr
bHybSigmC(k) = ( bHybSigmF(k) + bHybSigmF(k+1) )*0.5 _d 0
aHybSigmC(k) = ( aHybSigmF(k) + aHybSigmF(k+1) )*0.5 _d 0
ENDDO
ENDIF
C-- Vertical increment:
DO k=1,Nr
dAHybSigF(k) = ( aHybSigmF(k+1) - aHybSigmF(k) )*rkSign
dBHybSigF(k) = ( bHybSigmF(k+1) - bHybSigmF(k) )*rkSign
ENDDO
DO k=2,Nr
dAHybSigC(k) = ( aHybSigmC(k) - aHybSigmC(k-1) )*rkSign
dBHybSigC(k) = ( bHybSigmC(k) - bHybSigmC(k-1) )*rkSign
ENDDO
dAHybSigC(1) = ( aHybSigmC(1) - aHybSigmF(1) )*rkSign
dBHybSigC(1) = ( bHybSigmC(1) - bHybSigmF(1) )*rkSign
dAHybSigC(Nr+1) = ( aHybSigmF(Nr+1) - aHybSigmC(Nr) )*rkSign
dBHybSigC(Nr+1) = ( bHybSigmF(Nr+1) - bHybSigmC(Nr) )*rkSign
C-- Check for miss-match between vertical discretization :
maxErrC = 0.
maxErrF = 0.
epsil = 1. _d -9
DO k=1,Nr
tmpError = ( rC(k)-rF(Nr+1) )*recip_fullDepth
& - ( aHybSigmC(k)+bHybSigmC(k) )
IF ( ABS(tmpError).GT.epsil ) THEN
IF ( maxErrC.LE.epsil ) THEN
WRITE(msgBuf,'(2A)') 'S/R INI_VERTICAL_GRID:',
& ' rC and Hybrid-Sigma Coeff miss-match'
CALL PRINT_ERROR( msgBuf, myThid )
ENDIF
WRITE(msgBuf,'(A,I4,2(A,1PE14.6),A,1P2E14.6)')
& ' k=', k,' , err=', tmpError, ' ; rC=', rC(k),
& ' , a & b=', aHybSigmC(k), bHybSigmC(k)
CALL PRINT_ERROR( msgBuf, myThid )
ENDIF
maxErrC = MAX( maxErrC, ABS(tmpError) )
ENDDO
DO k=1,Nr+1
tmpError = ( rF(k)-rF(Nr+1) )*recip_fullDepth
& - ( aHybSigmF(k)+bHybSigmF(k) )
IF ( ABS(tmpError).GT.epsil ) THEN
IF ( maxErrF.LE.epsil ) THEN
WRITE(msgBuf,'(2A)') 'S/R INI_VERTICAL_GRID:',
& ' rF and Hybrid-Sigma Coeff miss-match'
CALL PRINT_ERROR( msgBuf, myThid )
ENDIF
WRITE(msgBuf,'(A,I4,2(A,1PE14.6),A,1P2E14.6)')
& ' k=', k,' , err=', tmpError, ' ; rF=', rF(k),
& ' , a & b=', aHybSigmF(k), bHybSigmF(k)
CALL PRINT_ERROR( msgBuf, myThid )
ENDIF
maxErrF = MAX( maxErrF, ABS(tmpError) )
ENDDO
WRITE(msgBuf,'(2A,1PE14.6)') 'S/R INI_VERTICAL_GRID:',
& ' matching of aHybSigmC & rC :', maxErrC
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
& SQUEEZE_RIGHT, myThid )
WRITE(msgBuf,'(2A,1PE14.6)') 'S/R INI_VERTICAL_GRID:',
& ' matching of aHybSigmF & rF :', maxErrF
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit,
& SQUEEZE_RIGHT, myThid )
IF ( maxErrC.GT.epsil .OR. maxErrF.GT.epsil ) THEN
WRITE(msgBuf,'(2A)') 'S/R INI_VERTICAL_GRID:',
& ' rC,rF and Hybrid-Sigma Coeff miss-match'
CALL PRINT_ERROR( msgBuf, myThid )
STOP 'ABNORMAL END: S/R INI_VERTICAL_GRID'
ENDIF
C--- End setting-up Hybrid-Sigma vertical coordinate:
ENDIF
_END_MASTER(myThid)
_BARRIER
RETURN
END