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C $Header: /u/gcmpack/MITgcm/pkg/smooth/smooth_filtervar2d.F,v 1.1 2010/02/15 23:46:04 gforget Exp $ |
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C $Name: $ |
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#include "SMOOTH_OPTIONS.h" |
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subroutine smooth_filtervar2D (smoothOpNb,mythid) |
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C *==========================================================* |
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C | SUBROUTINE smooth_filtervar2D |
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C | o Routine that computes the filter variance |
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C | field associated with a diffusion operator, as part |
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C | a 2D spatial correlation operator (smooth_correld2D.F) |
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C | See Weaver and Courtier 01 for details. |
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C *==========================================================* |
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IMPLICIT NONE |
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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 "SMOOTH.h" |
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integer i,j,k, bi, bj, ii, jj, kk |
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integer itlo,ithi,jtlo,jthi |
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integer diLoc,djLoc,dkLoc |
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integer myThid, nbRand |
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character*( 80) fnamegeneric |
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_RL smoothTmpFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL smoothTmpVar (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL smoothTmpMean(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL port_rand,port_rand_norm |
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integer nbt_in,smoothOpNb |
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jtlo = mybylo(mythid) |
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jthi = mybyhi(mythid) |
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itlo = mybxlo(mythid) |
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ithi = mybxhi(mythid) |
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c if smooth2Dfilter(smoothOpNb)=0: the filter variance field |
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c has been computed earlier and is already in the run directory |
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c so this routine does not do anything |
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IF (smooth2Dfilter(smoothOpNb).NE.0) then |
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nbt_in=smooth2Dnbt(smoothOpNb)/2 |
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c read smoothing [i.e diffusion] operator: |
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write(fnamegeneric(1:80),'(1a,i3.3)') |
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& 'smooth2Doperator',smoothOpNb |
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CALL READ_REC_3D_RL(fnamegeneric,smoothprec, |
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& 1,smooth2D_Kux,1,1,mythid) |
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CALL READ_REC_3D_RL(fnamegeneric,smoothprec, |
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& 1,smooth2D_Kvy,2,1,mythid) |
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_EXCH_XY_RL ( smooth2D_Kux, myThid ) |
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_EXCH_XY_RL ( smooth2D_Kvy, myThid ) |
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|
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c initialize filter variance field: |
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DO bj=jtlo,jthi |
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DO bi=itlo,ithi |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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smooth2Dnorm(i,j,bi,bj)=0. |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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IF (smooth2Dfilter(smoothOpNb).EQ.2) then |
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c compute the normalization matrix using the approximate method |
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c |
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c This method can be quite expensive -- so that the approximate |
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c method (see below) is usually the prefered one. |
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c The exact method can be used to check the accuracy |
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c of the approximate method results (that can be predicted). |
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c |
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c note: the exact method requires the adjoint of smooth_diff2D.F (see below) |
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diLoc=15 !int(5*smooth_L/smooth_dx) |
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djLoc=20 !int(5*smooth_L/smooth_dx) |
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DO ii=1,diLoc |
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DO jj=1,djLoc |
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DO bj=jtlo,jthi |
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DO bi=itlo,ithi |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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smoothTmpFld(i,j,bi,bj)=0. |
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ENDDO |
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ENDDO |
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|
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DO j=jj,sNy,djLoc |
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DO i=ii,sNx,diLoc |
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smoothTmpFld(i,j,bi,bj)=1. |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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c note: as we go to adjoint part, we need to have 0 in overlaps |
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c so we must NOT have done an exchange for smoothTmpFld |
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c adjoint: |
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WRITE(errorMessageUnit,'(A,/,A)' ) |
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& "you need to have adsmooth_diff2D compiled and then:", |
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& "uncomment the line below and comment the stop" |
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STOP 'ABNORMAL END: S/R smooth_filtervar2D' |
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c call adsmooth_diff2D(smoothTmpFld,maskc,nbt_in,mythid) |
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c division by sqrt(area)*sqrt(area) [1 to end adj, 1 to begin fwd] |
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DO bj = jtlo,jthi |
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DO bi = itlo,ithi |
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DO j = 1,sNy |
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DO i = 1,sNx |
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c division by ~volume: |
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smoothTmpFld(i,j,bi,bj)=smoothTmpFld(i,j,bi,bj) |
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& *recip_rA(i,j,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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c coming out of adjoint part: overlaps are 0 |
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c going in fwd part: we need to fill them up |
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_EXCH_XY_RL ( smoothTmpFld,myThid ) |
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c fwd: |
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CALL smooth_diff2D(smoothTmpFld,maskc,nbt_in,mythid) |
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c convert variance to normalization factor: |
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DO bj=jtlo,jthi |
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DO bi=itlo,ithi |
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DO j=jj,sNy,djLoc |
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DO i=ii,sNx,diLoc |
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if (maskc(i,j,1,bi,bj).NE.0) then |
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smooth2Dnorm(i,j,bi,bj)= |
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& 1/sqrt(smoothTmpFld(i,j,bi,bj)) |
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endif |
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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 !DO ii=1,diLoc |
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ENDDO !DO jj=1,djLoc |
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ELSEIF (smooth2Dfilter(smoothOpNb).EQ.1) then |
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c compute the normalization matrix using the approximate method |
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DO bj=jtlo,jthi |
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DO bi=itlo,ithi |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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smoothTmpMean(i,j,bi,bj) = 0. _d 0 |
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smoothTmpVar(i,j,bi,bj) = 0. _d 0 |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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c initialize random number generator |
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smoothTmpFld(1,1,1,1)=port_rand(1) |
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nbRand=1000 |
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DO ii=1,nbRand |
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WRITE(standardMessageUnit,'(A,I4,A,I4)') |
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& 'smooth_filtervar2D: ',ii,' members done out of',nbRand |
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c fill smoothTmpFld with random numbers: |
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DO bj=jtlo,jthi |
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DO bi=itlo,ithi |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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smoothTmpFld(i,j,bi,bj) = 0. _d 0 |
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if (maskC(i,j,1,bi,bj).NE.0) then |
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smoothTmpFld(i,j,bi,bj)=port_rand_norm() |
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endif |
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c division by sqrt(area): |
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smoothTmpFld(i,j,bi,bj)=smoothTmpFld(i,j,bi,bj) |
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& *sqrt(recip_rA(i,j,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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_EXCH_XY_RL ( smoothTmpFld, myThid ) |
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c smooth random number field |
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call smooth_diff2D(smoothTmpFld,maskc,nbt_in,mythid) |
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c accumulate statistics (to compute the variance later) |
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DO bj=jtlo,jthi |
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DO bi=itlo,ithi |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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smoothTmpVar(i,j,bi,bj)=smoothTmpVar(i,j,bi,bj) |
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& +smoothTmpFld(i,j,bi,bj)*smoothTmpFld(i,j,bi,bj)/nbRand |
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smoothTmpMean(i,j,bi,bj)=smoothTmpMean(i,j,bi,bj) |
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& +smoothTmpFld(i,j,bi,bj)/nbRand |
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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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c compute variance and convert it to normalization factor: |
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DO bj=jtlo,jthi |
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DO bi=itlo,ithi |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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if (maskC(i,j,1,bi,bj).NE.0) then |
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smooth2Dnorm(i,j,bi,bj)= |
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& 1/sqrt ( nbRand/(nbRand-1)* ( smoothTmpVar(i,j,bi,bj) - |
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& smoothTmpMean(i,j,bi,bj)*smoothTmpMean(i,j,bi,bj) |
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& ) ) |
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endif |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDIF |
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c write smooth2Dnorm to file: |
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write(fnamegeneric(1:80),'(1a,i3.3)') |
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& 'smooth2Dnorm',smoothOpNb |
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CALL WRITE_REC_3D_RL(fnamegeneric,smoothprec, |
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& 1,smooth2Dnorm,1,1,mythid) |
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_EXCH_XY_RL ( smooth2Dnorm, myThid ) |
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|
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ENDIF |
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END |
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