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diffus.F
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diffus.F
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C $Header: /u/gcmpack/MITgcm/pkg/seaice/diffus.F,v 1.18 2012/11/09 22:15:18 heimbach Exp $
C $Name: $
#include "SEAICE_OPTIONS.h"
CBOP
C !ROUTINE: DIFFUS
C !INTERFACE:
SUBROUTINE DIFFUS(
U fld,
I DIFFA, iceMsk, myThid )
C !DESCRIPTION: \bv
C *==========================================================*
C | S/R DIFFUS
C | o Calculate laplacian of input field
C | and return the result in the same array
C *==========================================================*
C \ev
C !USES:
IMPLICIT NONE
C == Global variables ===
#include "SIZE.h"
#include "EEPARAMS.h"
#include "GRID.h"
#include "SEAICE_SIZE.h"
#include "SEAICE_PARAMS.h"
C !INPUT/OUTPUT PARAMETERS:
C == Routine Arguments ==
C fld :: In: input ice-field ; Out: laplacian of input field
C DIFFA :: grid length scale
C iceMsk :: Ocean/Land mask
C myThid :: my Thread Id. number
_RL fld (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
_RL DIFFA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
_RL iceMsk (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
INTEGER myThid
CEOP
C !LOCAL VARIABLES:
C == Local variables ==
C i,j,bi,bj :: Loop counters
INTEGER i, j, bi, bj
_RL DELTXX, DELTYY
_RL tmpFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL dfx (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
_RL dfy (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----|
DO bj=myByLo(myThid),myByHi(myThid)
DO bi=myBxLo(myThid),myBxHi(myThid)
IF ( SEAICEuseFluxForm ) THEN
C-- Use flux form for MITgcm compliance, unfortunately changes results
DO j=1-Oly,sNy+Oly
DO i=1-Olx,sNx+Olx
dfx(i,j) = 0. _d 0
dfy(i,j) = 0. _d 0
ENDDO
ENDDO
C-- first compute fluxes across cell faces
DO j=1,sNy+1
DO i=1,sNx+1
dfx(i,j) = _dyG(i,j,bi,bj) * _recip_dxC(i,j,bi,bj)
& * (fld(i,j,bi,bj)-fld(i-1,j,bi,bj))
& * cosFacU(j,bi,bj)
& * iceMsk(i,j,bi,bj)*iceMsk(i-1,j,bi,bj)
& * ( DIFFA(i,j,bi,bj)+DIFFA(i-1,j,bi,bj) )*HALF
#ifdef ALLOW_OBCS
& * maskInW(i,j,bi,bj)
#endif
dfy(i,j) = _dxG(i,j,bi,bj) * _recip_dyC(i,j,bi,bj)
& * (fld(i,j,bi,bj)-fld(i,j-1,bi,bj))
#ifdef ISOTROPIC_COS_SCALING
& * cosFacV(j,bi,bj)
#endif
& * iceMsk(i,j,bi,bj)*iceMsk(i,j-1,bi,bj)
& * ( DIFFA(i,j,bi,bj)+DIFFA(i,j-1,bi,bj) )*HALF
#ifdef ALLOW_OBCS
& * maskInS(i,j,bi,bj)
#endif
ENDDO
ENDDO
DO j=1-OLy,sNy+OLy
DO i=1-OLx,sNx+OLx
fld(i,j,bi,bj) = 0. _d 0
ENDDO
ENDDO
C-- compute Laplacian as flux divergence
DO j=1,sNy
DO i=1,sNx
fld(i,j,bi,bj) = (
& ( dfx(i+1,j) - dfx(i,j) )
& + ( dfy(i,j+1) - dfy(i,j) )
& ) * recip_rA(i,j,bi,bj)
ENDDO
ENDDO
ELSE
C NOW DO DIFFUSION WITH NUIT CONVERSION
DO j=1-OLy,sNy+OLy
DO i=1-OLx,sNx+OLx
tmpFld(i,j) = 0.0 _d 0
ENDDO
ENDDO
DO j=1,sNy
DO i=1,sNx
DELTXX = DIFFA(i,j,bi,bj)
& * _recip_dxF(i,j,bi,bj)*_recip_dxF(i,j,bi,bj)
DELTYY = DIFFA(i,j,bi,bj)
& * _recip_dyF(i,j,bi,bj)*_recip_dyF(i,j,bi,bj)
& * _recip_dxF(i,j,bi,bj)
tmpFld(i,j) =
& DELTXX*(
& (fld(i+1,j,bi,bj)-fld(i, j,bi,bj))
& *iceMsk(i+1,j,bi,bj)
#ifdef ALLOW_OBCS
& *maskInW(i+1,j,bi,bj)
#endif
& -(fld(i, j,bi,bj)-fld(i-1,j,bi,bj))
& *iceMsk(i-1,j,bi,bj)
#ifdef ALLOW_OBCS
& *maskInW(i,j,bi,bj)
#endif
& )
& +DELTYY*(
& (fld(i,j+1,bi,bj)-fld(i,j, bi,bj))
& * _dxG(i,j+1,bi,bj)*iceMsk(i,j+1,bi,bj)
#ifdef ALLOW_OBCS
& *maskInS(i,j+1,bi,bj)
#endif
& -(fld(i,j, bi,bj)-fld(i,j-1,bi,bj))
& * _dxG(i,j, bi,bj)*iceMsk(i,j-1,bi,bj)
#ifdef ALLOW_OBCS
& *maskInS(i,j,bi,bj)
#endif
& )
ENDDO
ENDDO
DO j=1-OLy,sNy+OLy
DO i=1-OLx,sNx+OLx
fld(i,j,bi,bj) = tmpFld(i,j)
ENDDO
ENDDO
C-- end flux-form / non flux-form
ENDIF
ENDDO
ENDDO
RETURN
END