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C $Header: /u/gcmpack/MITgcm/pkg/shap_filt/shap_filt_tracer_s2.F,v 1.11 2006/03/26 22:56:43 jmc Exp $ |
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C $Name: $ |
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|
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#include "SHAP_FILT_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: SHAP_FILT_TRACER_S2 |
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C !INTERFACE: |
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SUBROUTINE SHAP_FILT_TRACER_S2( |
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U field, tmpFld, |
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I nShapTr, exchInOut, kSize, |
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I myTime, myIter, myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | S/R SHAP_FILT_TRACER_S2 |
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C | o Applies Shapiro filter to 2D field (cell center). |
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C | o use filtering function "S2" = [1 - (d_xx+d_yy)^n] |
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C | o Options for computational filter (no grid spacing) |
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C | or physical space filter (with grid spacing) or both. |
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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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|
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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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#include "SHAP_FILT.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 field :: cell-centered 2D field on which filter applies |
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C tmpFld :: working temporary array |
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C nShapTr :: (total) power of the filter for this tracer |
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C exchInOut :: apply Exchanges to fill overlap region: |
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C = 0 : do not apply Exch on neither input nor output field |
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C = 1 : apply Exch on input field |
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C (needed if input field has invalid overlap) |
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C = 2 : apply Exch on output field (after the filter) |
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C = 3 : apply Exch on both input & output field |
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C kSize :: length of 3rd Dim : either =1 (2D field) or =Nr (3D field) |
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C myTime :: Current time in simulation |
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C myIter :: Current iteration number in simulation |
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C myThid :: Thread number for this instance of SHAP_FILT_TRACER_S2 |
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INTEGER kSize |
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_RL field(1-OLx:sNx+OLx,1-OLy:sNy+OLy,kSize,nSx,nSy) |
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_RL tmpFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy,kSize,nSx,nSy) |
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INTEGER nShapTr, exchInOut |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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|
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#ifdef ALLOW_SHAP_FILT |
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|
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C !LOCAL VARIABLES: |
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C == Local variables == |
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INTEGER nShapComput |
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INTEGER bi,bj,k,i,j,n |
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_RL tmpGrd(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tmpFdx(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL tmpFdy(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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CEOP |
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|
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IF ( exchInOut.LT.0 .OR. exchInOut.GT.3 ) THEN |
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STOP 'S/R SHAP_FILT_TRACER_S2: exchInOut is wrong' |
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ENDIF |
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|
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IF (nShapTr.GT.0) THEN |
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C------- |
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C Apply computational filter ^(nShap-nShapPhys) without grid factor |
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C then apply Physical filter ^nShapPhys with grid factors |
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C------- |
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nShapComput = nShapTr - nShapTrPhys |
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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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DO k=1,kSize |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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tmpFld(i,j,k,bi,bj)=field(i,j,k,bi,bj) |
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ENDDO |
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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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|
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C ( d_xx +d_yy )^n tmpFld |
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|
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DO n=1,nShapTr |
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|
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IF ( ( MOD(n,2).EQ.1 .OR. Shap_alwaysExchTr ) .AND. |
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& ( n.GE.2 .OR. MOD(exchInOut,2).EQ.1 ) ) THEN |
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IF (kSize.EQ.Nr) THEN |
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_EXCH_XYZ_R8( tmpFld, myThid ) |
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ELSEIF (kSize.EQ.1) THEN |
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_EXCH_XY_R8( tmpFld, myThid ) |
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ELSE |
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STOP 'S/R SHAP_FILT_TRACER_S2: kSize is wrong' |
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ENDIF |
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ENDIF |
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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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DO k=1,kSize |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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C-- Calculate gradient in X direction: |
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#ifndef ALLOW_AUTODIFF_TAMC |
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IF ( .NOT.Shap_alwaysExchTr |
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& .AND. useCubedSphereExchange ) THEN |
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C to compute d/dx(tmpFld), fill corners with appropriate values: |
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CALL FILL_CS_CORNER_TR_RL( .TRUE., |
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& tmpFld(1-Olx,1-Oly,k,bi,bj), |
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& bi,bj, myThid ) |
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ENDIF |
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#endif |
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IF ( n.LE.nShapComput ) THEN |
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C- Computational space: del_i |
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DO j=0,sNy+1 |
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DO i=0,sNx+2 |
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tmpFdx(i,j) = |
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& ( tmpFld(i,j,k,bi,bj)-tmpFld(i-1,j,k,bi,bj) ) |
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& *_maskW(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ELSE |
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C- Physical space: grad_x |
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DO j=0,sNy+1 |
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DO i=0,sNx+2 |
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tmpFdx(i,j) = |
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& ( tmpFld(i,j,k,bi,bj)-tmpFld(i-1,j,k,bi,bj) ) |
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& *_hFacW(i,j,k,bi,bj) |
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& *dyG(i,j,bi,bj)*recip_dxC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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C-- Calculate gradient in Y direction: |
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#ifndef ALLOW_AUTODIFF_TAMC |
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IF ( .NOT.Shap_alwaysExchTr |
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& .AND. useCubedSphereExchange ) THEN |
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C to compute d/dy(tmpFld), fill corners with appropriate values: |
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CALL FILL_CS_CORNER_TR_RL(.FALSE., |
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& tmpFld(1-Olx,1-Oly,k,bi,bj), |
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& bi,bj, myThid ) |
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ENDIF |
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#endif |
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IF ( n.LE.nShapComput ) THEN |
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C- Computational space: del_j |
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DO j=0,sNy+2 |
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DO i=0,sNx+1 |
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tmpFdy(i,j) = |
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& ( tmpFld(i,j,k,bi,bj)-tmpFld(i,j-1,k,bi,bj) ) |
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& *_maskS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ELSE |
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C- Physical space: grad_y |
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DO j=0,sNy+2 |
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DO i=0,sNx+1 |
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tmpFdy(i,j) = |
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& ( tmpFld(i,j,k,bi,bj)-tmpFld(i,j-1,k,bi,bj) ) |
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& *_hFacS(i,j,k,bi,bj) |
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& *dxG(i,j,bi,bj)*recip_dyC(i,j,bi,bj) |
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ENDDO |
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ENDDO |
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ENDIF |
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|
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C-- Calculate (d_xx + d_yy) tmpFld : |
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DO j=0,sNy+1 |
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DO i=0,sNx+1 |
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tmpGrd(i,j) = ( tmpFdx(i+1,j) - tmpFdx(i,j) ) |
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& + ( tmpFdy(i,j+1) - tmpFdy(i,j) ) |
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ENDDO |
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ENDDO |
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|
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C-- Computational space Filter |
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IF ( n.LE.nShapComput ) THEN |
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DO j=0,sNy+1 |
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DO i=0,sNx+1 |
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tmpFld(i,j,k,bi,bj) = -0.125*tmpGrd(i,j) |
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ENDDO |
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ENDDO |
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C-- Physical space Filter |
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ELSEIF (Shap_TrLength.LE.0.) THEN |
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DO j=0,sNy+1 |
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DO i=0,sNx+1 |
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tmpFld(i,j,k,bi,bj) = -0.125*tmpGrd(i,j) |
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& *recip_hFacC(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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ELSE |
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DO j=0,sNy+1 |
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DO i=0,sNx+1 |
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tmpFld(i,j,k,bi,bj) = -0.125*tmpGrd(i,j) |
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& *recip_hFacC(i,j,k,bi,bj)*recip_rA(i,j,bi,bj) |
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& *Shap_TrLength*Shap_TrLength |
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ENDDO |
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ENDDO |
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ENDIF |
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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C end k,bi,bj loop: |
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ENDDO |
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ENDDO |
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ENDDO |
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C end loop n=1,nShapTr |
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ENDDO |
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|
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C F <- [1 - (d_xx+d_yy)^n *deltaT/tau].F |
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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 k=1,kSize |
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DO j=1,sNy |
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DO i=1,sNx |
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field(i,j,k,bi,bj)=field(i,j,k,bi,bj) |
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& -tmpFld(i,j,k,bi,bj)*dTtracerLev(1)/Shap_Trtau |
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tmpFld(i,j,k,bi,bj)= -tmpFld(i,j,k,bi,bj)/Shap_Trtau |
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ENDDO |
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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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IF ( exchInOut.GE.2 ) THEN |
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IF (kSize.EQ.Nr) THEN |
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_EXCH_XYZ_R8( field, myThid ) |
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ELSEIF (kSize.EQ.1) THEN |
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_EXCH_XY_R8( field, myThid ) |
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ELSE |
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STOP 'S/R SHAP_FILT_TRACER_S2: kSize is wrong' |
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ENDIF |
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ENDIF |
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|
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ENDIF |
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#endif /* ALLOW_SHAP_FILT */ |
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|
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RETURN |
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END |