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! $Header: /home/cvsroot/LMDZ4/libf/filtrez/inifilr.F,v 1.1.1.1 2004/05/19 12:53:09 lmdzadmin Exp $ |
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SUBROUTINE inifilr |
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c |
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c ... H. Upadhyaya, O.Sharma ... |
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c |
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use dimens_m |
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use paramet_m |
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use logic |
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use comgeom |
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use serre |
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IMPLICIT NONE |
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c |
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c version 3 ..... |
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c Correction le 28/10/97 P. Le Van . |
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c ------------------------------------------------------------------- |
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include "parafilt.h" |
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c ------------------------------------------------------------------- |
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include "coefils.h" |
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REAL dlonu(iim),dlatu(jjm) |
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REAL rlamda( iim ), eignvl( iim ) |
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c |
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REAL lamdamax,pi,cof |
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INTEGER i,j,modemax,imx,k,kf,ii |
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REAL dymin,dxmin,colat0 |
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REAL eignft(iim,iim), coff |
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REAL matriceun,matriceus,matricevn,matricevs,matrinvn,matrinvs |
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COMMON/matrfil/matriceun(iim,iim,nfilun),matriceus(iim,iim,nfilus) |
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, , matricevn(iim,iim,nfilvn),matricevs(iim,iim,nfilvs) |
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, , matrinvn(iim,iim,nfilun),matrinvs (iim,iim,nfilus) |
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EXTERNAL inifgn |
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c |
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c ------------------------------------------------------------ |
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c This routine computes the eigenfunctions of the laplacien |
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c on the stretched grid, and the filtering coefficients |
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c |
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c We designate: |
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c eignfn eigenfunctions of the discrete laplacien |
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c eigenvl eigenvalues |
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c jfiltn indexof the last scalar line filtered in NH |
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c jfilts index of the first line filtered in SH |
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c modfrst index of the mode from where modes are filtered |
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c modemax maximum number of modes ( im ) |
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c coefil filtering coefficients ( lamda_max*cos(rlat)/lamda ) |
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c sdd SQRT( dx ) |
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c |
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c the modes are filtered from modfrst to modemax |
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c |
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c----------------------------------------------------------- |
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c |
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pi = 2. * ASIN( 1. ) |
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DO i = 1,iim |
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dlonu(i) = xprimu( i ) |
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ENDDO |
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c |
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CALL inifgn(eignvl) |
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c |
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print *,' EIGNVL ' |
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PRINT 250,eignvl |
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250 FORMAT( 1x,5e13.6) |
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c |
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c compute eigenvalues and eigenfunctions |
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c |
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c |
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c................................................................. |
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c |
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c compute the filtering coefficients for scalar lines and |
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c meridional wind v-lines |
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c |
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c we filter all those latitude lines where coefil < 1 |
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c NO FILTERING AT POLES |
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c |
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c colat0 is to be used when alpha (stretching coefficient) |
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c is set equal to zero for the regular grid case |
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c |
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c ....... Calcul de colat0 ......... |
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c ..... colat0 = minimum de ( 0.5, min dy/ min dx ) ... |
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c |
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c |
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DO 45 j = 1,jjm |
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dlatu( j ) = rlatu( j ) - rlatu( j+1 ) |
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45 CONTINUE |
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c |
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dxmin = dlonu(1) |
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DO i = 2, iim |
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dxmin = MIN( dxmin,dlonu(i) ) |
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ENDDO |
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dymin = dlatu(1) |
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DO j = 2, jjm |
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dymin = MIN( dymin,dlatu(j) ) |
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ENDDO |
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c |
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c |
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colat0 = MIN( 0.5, dymin/dxmin ) |
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c |
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IF( .NOT.fxyhypb.AND.ysinus ) THEN |
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colat0 = 0.6 |
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c ...... a revoir pour ysinus ! ....... |
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alphax = 0. |
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ENDIF |
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c |
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PRINT 50, colat0,alphax |
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50 FORMAT(/15x,' Inifilr colat0 alphax ',2e16.7) |
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c |
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IF(alphax.EQ.1. ) THEN |
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PRINT *,' Inifilr alphax doit etre < a 1. Corriger ' |
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STOP 1 |
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ENDIF |
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c |
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lamdamax = iim / ( pi * colat0 * ( 1. - alphax ) ) |
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cc ... Correction le 28/10/97 ( P.Le Van ) .. |
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c |
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DO 71 i = 2,iim |
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rlamda( i ) = lamdamax/ SQRT( ABS( eignvl(i) ) ) |
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71 CONTINUE |
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c |
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DO 72 j = 1,jjm |
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DO 73 i = 1,iim |
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coefilu( i,j ) = 0.0 |
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coefilv( i,j ) = 0.0 |
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coefilu2( i,j ) = 0.0 |
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coefilv2( i,j ) = 0.0 |
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73 CONTINUE |
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72 CONTINUE |
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c |
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c ... Determination de jfiltnu,jfiltnv,jfiltsu,jfiltsv .... |
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c ......................................................... |
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c |
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modemax = iim |
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cccc imx = modemax - 4 * (modemax/iim) |
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imx = iim |
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c |
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PRINT *,' TRUNCATION AT ',imx |
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c |
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DO 75 j = 2, jjm/2+1 |
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cof = COS( rlatu(j) )/ colat0 |
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IF ( cof .LT. 1. ) THEN |
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IF( rlamda(imx) * COS(rlatu(j) ).LT.1. ) jfiltnu= j |
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ENDIF |
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cof = COS( rlatu(jjp1-j+1) )/ colat0 |
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IF ( cof .LT. 1. ) THEN |
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IF( rlamda(imx) * COS(rlatu(jjp1-j+1) ).LT.1. ) |
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$ jfiltsu= jjp1-j+1 |
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ENDIF |
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75 CONTINUE |
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c |
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DO 76 j = 1, jjm/2 |
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cof = COS( rlatv(j) )/ colat0 |
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IF ( cof .LT. 1. ) THEN |
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IF( rlamda(imx) * COS(rlatv(j) ).LT.1. ) jfiltnv= j |
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ENDIF |
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cof = COS( rlatv(jjm-j+1) )/ colat0 |
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IF ( cof .LT. 1. ) THEN |
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IF( rlamda(imx) * COS(rlatv(jjm-j+1) ).LT.1. ) |
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$ jfiltsv= jjm-j+1 |
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ENDIF |
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76 CONTINUE |
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c |
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if ( jfiltnu.LE.0 ) jfiltnu=1 |
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IF( jfiltnu.GT. jjm/2 +1 ) THEN |
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PRINT *,' jfiltnu en dehors des valeurs acceptables ' ,jfiltnu |
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STOP 1 |
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ENDIF |
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IF( jfiltsu.LE.0) jfiltsu=1 |
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IF( jfiltsu.GT. jjm +1 ) THEN |
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PRINT *,' jfiltsu en dehors des valeurs acceptables ' ,jfiltsu |
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STOP 1 |
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ENDIF |
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IF( jfiltnv.LE.0) jfiltnv=1 |
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IF( jfiltnv.GT. jjm/2 ) THEN |
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PRINT *,' jfiltnv en dehors des valeurs acceptables ' ,jfiltnv |
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STOP 1 |
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ENDIF |
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IF( jfiltsv.LE.0) jfiltsv=1 |
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IF( jfiltsv.GT. jjm ) THEN |
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PRINT *,' jfiltsv en dehors des valeurs acceptables ' ,jfiltsv |
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STOP 1 |
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ENDIF |
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PRINT *,' jfiltnv jfiltsv jfiltnu jfiltsu ' , |
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* jfiltnv,jfiltsv,jfiltnu,jfiltsu |
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c |
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c ... Determination de coefilu,coefilv,n=modfrstu,modfrstv .... |
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c................................................................ |
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c |
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c |
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DO 77 j = 1,jjm |
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modfrstu( j ) = iim |
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modfrstv( j ) = iim |
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77 CONTINUE |
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c |
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DO 84 j = 2,jfiltnu |
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DO 81 k = 2,modemax |
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cof = rlamda(k) * COS( rlatu(j) ) |
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IF ( cof .LT. 1. ) GOTO 82 |
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81 CONTINUE |
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GOTO 84 |
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82 modfrstu( j ) = k |
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c |
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kf = modfrstu( j ) |
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DO 83 k = kf , modemax |
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cof = rlamda(k) * COS( rlatu(j) ) |
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coefilu(k,j) = cof - 1. |
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coefilu2(k,j) = cof*cof - 1. |
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83 CONTINUE |
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84 CONTINUE |
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c |
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c |
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DO 89 j = 1,jfiltnv |
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c |
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DO 86 k = 2,modemax |
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cof = rlamda(k) * COS( rlatv(j) ) |
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IF ( cof .LT. 1. ) GOTO 87 |
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86 CONTINUE |
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GOTO 89 |
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87 modfrstv( j ) = k |
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c |
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kf = modfrstv( j ) |
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DO 88 k = kf , modemax |
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cof = rlamda(k) * COS( rlatv(j) ) |
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coefilv(k,j) = cof - 1. |
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coefilv2(k,j) = cof*cof - 1. |
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88 CONTINUE |
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c |
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89 CONTINUE |
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c |
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DO 94 j = jfiltsu,jjm |
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DO 91 k = 2,modemax |
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cof = rlamda(k) * COS( rlatu(j) ) |
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IF ( cof .LT. 1. ) GOTO 92 |
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91 CONTINUE |
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GOTO 94 |
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92 modfrstu( j ) = k |
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c |
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kf = modfrstu( j ) |
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DO 93 k = kf , modemax |
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cof = rlamda(k) * COS( rlatu(j) ) |
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coefilu(k,j) = cof - 1. |
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coefilu2(k,j) = cof*cof - 1. |
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93 CONTINUE |
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94 CONTINUE |
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c |
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DO 99 j = jfiltsv,jjm |
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DO 96 k = 2,modemax |
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cof = rlamda(k) * COS( rlatv(j) ) |
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IF ( cof .LT. 1. ) GOTO 97 |
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96 CONTINUE |
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GOTO 99 |
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97 modfrstv( j ) = k |
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c |
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kf = modfrstv( j ) |
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DO 98 k = kf , modemax |
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cof = rlamda(k) * COS( rlatv(j) ) |
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coefilv(k,j) = cof - 1. |
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coefilv2(k,j) = cof*cof - 1. |
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98 CONTINUE |
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99 CONTINUE |
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c |
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IF(jfiltnv.GE.jjm/2 .OR. jfiltnu.GE.jjm/2)THEN |
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IF(jfiltnv.EQ.jfiltsv)jfiltsv=1+jfiltnv |
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IF(jfiltnu.EQ.jfiltsu)jfiltsu=1+jfiltnu |
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PRINT *,'jfiltnv jfiltsv jfiltnu jfiltsu' , |
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* jfiltnv,jfiltsv,jfiltnu,jfiltsu |
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ENDIF |
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PRINT *,' Modes premiers v ' |
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PRINT 334,modfrstv |
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PRINT *,' Modes premiers u ' |
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PRINT 334,modfrstu |
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IF( nfilun.LT. jfiltnu ) THEN |
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PRINT *,' le parametre nfilun utilise pour la matrice ', |
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* ' matriceun est trop petit ! ' |
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PRINT *,'Le changer dans parafilt.h et le mettre a ',jfiltnu |
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PRINT *,' Pour information, nfilun,nfilus,nfilvn,nfilvs ' |
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* ,'doivent etre egaux successivement a ',jfiltnu,jjm-jfiltsu+1 |
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* ,jfiltnv,jjm-jfiltsv+1 |
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STOP 1 |
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ENDIF |
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IF( nfilun.GT. jfiltnu+ 2 ) THEN |
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PRINT *,' le parametre nfilun utilise pour la matrice ', |
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*' matriceun est trop grand ! Gachis de memoire ! ' |
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PRINT *,'Le changer dans parafilt.h et le mettre a ',jfiltnu |
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PRINT *,' Pour information, nfilun,nfilus,nfilvn,nfilvs ' |
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* ,'doivent etre egaux successivement a ',jfiltnu,jjm-jfiltsu+1 |
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* ,jfiltnv,jjm-jfiltsv+1 |
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c STOP 1 |
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ENDIF |
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IF( nfilus.LT. jjm - jfiltsu +1 ) THEN |
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PRINT *,' le parametre nfilus utilise pour la matrice ', |
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* ' matriceus est trop petit ! ' |
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PRINT *,' Le changer dans parafilt.h et le mettre a ', |
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* jjm - jfiltsu + 1 |
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PRINT *,' Pour information , nfilun,nfilus,nfilvn,nfilvs ' |
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* ,'doivent etre egaux successivement a ',jfiltnu,jjm-jfiltsu+1 |
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* ,jfiltnv,jjm-jfiltsv+1 |
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STOP 1 |
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ENDIF |
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IF( nfilus.GT. jjm - jfiltsu + 3 ) THEN |
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PRINT *,' le parametre nfilus utilise pour la matrice ', |
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* ' matriceus est trop grand ! ' |
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PRINT *,' Le changer dans parafilt.h et le mettre a ' , |
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* jjm - jfiltsu + 1 |
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PRINT *,' Pour information , nfilun,nfilus,nfilvn,nfilvs ' |
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* ,'doivent etre egaux successivement a ',jfiltnu,jjm-jfiltsu+1 |
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* ,jfiltnv,jjm-jfiltsv+1 |
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c STOP 1 |
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ENDIF |
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IF( nfilvn.LT. jfiltnv ) THEN |
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PRINT *,' le parametre nfilvn utilise pour la matrice ', |
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* ' matricevn est trop petit ! ' |
| 334 |
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PRINT *,'Le changer dans parafilt.h et le mettre a ',jfiltnv |
| 335 |
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PRINT *,' Pour information , nfilun,nfilus,nfilvn,nfilvs ' |
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* ,'doivent etre egaux successivement a ',jfiltnu,jjm-jfiltsu+1 |
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* ,jfiltnv,jjm-jfiltsv+1 |
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STOP 1 |
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ENDIF |
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IF( nfilvn.GT. jfiltnv+ 2 ) THEN |
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PRINT *,' le parametre nfilvn utilise pour la matrice ', |
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*' matricevn est trop grand ! Gachis de memoire ! ' |
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PRINT *,'Le changer dans parafilt.h et le mettre a ',jfiltnv |
| 344 |
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PRINT *,' Pour information , nfilun,nfilus,nfilvn,nfilvs ' |
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* ,'doivent etre egaux successivement a ',jfiltnu,jjm-jfiltsu+1 |
| 346 |
|
|
* ,jfiltnv,jjm-jfiltsv+1 |
| 347 |
|
|
c STOP 1 |
| 348 |
|
|
ENDIF |
| 349 |
|
|
IF( nfilvs.LT. jjm - jfiltsv +1 ) THEN |
| 350 |
|
|
PRINT *,' le parametre nfilvs utilise pour la matrice ', |
| 351 |
|
|
* ' matricevs est trop petit ! Le changer dans parafilt.h ' |
| 352 |
|
|
PRINT *,' Le changer dans parafilt.h et le mettre a ' |
| 353 |
|
|
* , jjm - jfiltsv + 1 |
| 354 |
|
|
PRINT *,' Pour information , nfilun,nfilus,nfilvn,nfilvs ' |
| 355 |
|
|
* ,'doivent etre egaux successivement a ',jfiltnu,jjm-jfiltsu+1 |
| 356 |
|
|
* ,jfiltnv,jjm-jfiltsv+1 |
| 357 |
|
|
STOP 1 |
| 358 |
|
|
ENDIF |
| 359 |
|
|
IF( nfilvs.GT. jjm - jfiltsv + 3 ) THEN |
| 360 |
|
|
PRINT *,' le parametre nfilvs utilise pour la matrice ', |
| 361 |
|
|
* ' matricevs est trop grand ! Gachis de memoire ! ' |
| 362 |
|
|
PRINT *,' Le changer dans parafilt.h et le mettre a ' |
| 363 |
|
|
* , jjm - jfiltsv + 1 |
| 364 |
|
|
PRINT *,' Pour information , nfilun,nfilus,nfilvn,nfilvs ' |
| 365 |
|
|
* ,'doivent etre egaux successivement a ',jfiltnu,jjm-jfiltsu+1 |
| 366 |
|
|
* ,jfiltnv,jjm-jfiltsv+1 |
| 367 |
|
|
c STOP 1 |
| 368 |
|
|
ENDIF |
| 369 |
|
|
|
| 370 |
|
|
c |
| 371 |
|
|
c ................................................................... |
| 372 |
|
|
c |
| 373 |
|
|
c ... Calcul de la matrice filtre 'matriceu' pour les champs situes |
| 374 |
|
|
c sur la grille scalaire ........ |
| 375 |
|
|
c ................................................................... |
| 376 |
|
|
c |
| 377 |
|
|
DO j = 2, jfiltnu |
| 378 |
|
|
|
| 379 |
|
|
DO i=1,iim |
| 380 |
|
|
coff = coefilu(i,j) |
| 381 |
|
|
IF( i.LT.modfrstu(j) ) coff = 0. |
| 382 |
|
|
DO k=1,iim |
| 383 |
|
|
eignft(i,k) = eignfnv(k,i) * coff |
| 384 |
|
|
ENDDO |
| 385 |
|
|
ENDDO |
| 386 |
|
|
DO k = 1, iim |
| 387 |
|
|
DO i = 1, iim |
| 388 |
|
|
matriceun(i,k,j) = 0.0 |
| 389 |
|
|
DO ii = 1, iim |
| 390 |
|
|
matriceun(i,k,j) = matriceun(i,k,j) |
| 391 |
|
|
. + eignfnv(i,ii)*eignft(ii,k) |
| 392 |
|
|
ENDDO |
| 393 |
|
|
ENDDO |
| 394 |
|
|
ENDDO |
| 395 |
|
|
|
| 396 |
|
|
ENDDO |
| 397 |
|
|
|
| 398 |
|
|
DO j = jfiltsu, jjm |
| 399 |
|
|
|
| 400 |
|
|
DO i=1,iim |
| 401 |
|
|
coff = coefilu(i,j) |
| 402 |
|
|
IF( i.LT.modfrstu(j) ) coff = 0. |
| 403 |
|
|
DO k=1,iim |
| 404 |
|
|
eignft(i,k) = eignfnv(k,i) * coff |
| 405 |
|
|
ENDDO |
| 406 |
|
|
ENDDO |
| 407 |
|
|
DO k = 1, iim |
| 408 |
|
|
DO i = 1, iim |
| 409 |
|
|
matriceus(i,k,j-jfiltsu+1) = 0.0 |
| 410 |
|
|
DO ii = 1, iim |
| 411 |
|
|
matriceus(i,k,j-jfiltsu+1) = matriceus(i,k,j-jfiltsu+1) |
| 412 |
|
|
. + eignfnv(i,ii)*eignft(ii,k) |
| 413 |
|
|
ENDDO |
| 414 |
|
|
ENDDO |
| 415 |
|
|
ENDDO |
| 416 |
|
|
|
| 417 |
|
|
ENDDO |
| 418 |
|
|
|
| 419 |
|
|
c ................................................................... |
| 420 |
|
|
c |
| 421 |
|
|
c ... Calcul de la matrice filtre 'matricev' pour les champs situes |
| 422 |
|
|
c sur la grille de V ou de Z ........ |
| 423 |
|
|
c ................................................................... |
| 424 |
|
|
c |
| 425 |
|
|
DO j = 1, jfiltnv |
| 426 |
|
|
|
| 427 |
|
|
DO i = 1, iim |
| 428 |
|
|
coff = coefilv(i,j) |
| 429 |
|
|
IF( i.LT.modfrstv(j) ) coff = 0. |
| 430 |
|
|
DO k = 1, iim |
| 431 |
|
|
eignft(i,k) = eignfnu(k,i) * coff |
| 432 |
|
|
ENDDO |
| 433 |
|
|
ENDDO |
| 434 |
|
|
DO k = 1, iim |
| 435 |
|
|
DO i = 1, iim |
| 436 |
|
|
matricevn(i,k,j) = 0.0 |
| 437 |
|
|
DO ii = 1, iim |
| 438 |
|
|
matricevn(i,k,j) = matricevn(i,k,j) |
| 439 |
|
|
. + eignfnu(i,ii)*eignft(ii,k) |
| 440 |
|
|
ENDDO |
| 441 |
|
|
ENDDO |
| 442 |
|
|
ENDDO |
| 443 |
|
|
|
| 444 |
|
|
ENDDO |
| 445 |
|
|
|
| 446 |
|
|
DO j = jfiltsv, jjm |
| 447 |
|
|
|
| 448 |
|
|
DO i = 1, iim |
| 449 |
|
|
coff = coefilv(i,j) |
| 450 |
|
|
IF( i.LT.modfrstv(j) ) coff = 0. |
| 451 |
|
|
DO k = 1, iim |
| 452 |
|
|
eignft(i,k) = eignfnu(k,i) * coff |
| 453 |
|
|
ENDDO |
| 454 |
|
|
ENDDO |
| 455 |
|
|
DO k = 1, iim |
| 456 |
|
|
DO i = 1, iim |
| 457 |
|
|
matricevs(i,k,j-jfiltsv+1) = 0.0 |
| 458 |
|
|
DO ii = 1, iim |
| 459 |
|
|
matricevs(i,k,j-jfiltsv+1) = matricevs(i,k,j-jfiltsv+1) |
| 460 |
|
|
. + eignfnu(i,ii)*eignft(ii,k) |
| 461 |
|
|
ENDDO |
| 462 |
|
|
ENDDO |
| 463 |
|
|
ENDDO |
| 464 |
|
|
|
| 465 |
|
|
ENDDO |
| 466 |
|
|
|
| 467 |
|
|
c ................................................................... |
| 468 |
|
|
c |
| 469 |
|
|
c ... Calcul de la matrice filtre 'matrinv' pour les champs situes |
| 470 |
|
|
c sur la grille scalaire , pour le filtre inverse ........ |
| 471 |
|
|
c ................................................................... |
| 472 |
|
|
c |
| 473 |
|
|
DO j = 2, jfiltnu |
| 474 |
|
|
|
| 475 |
|
|
DO i = 1,iim |
| 476 |
|
|
coff = coefilu(i,j)/ ( 1. + coefilu(i,j) ) |
| 477 |
|
|
IF( i.LT.modfrstu(j) ) coff = 0. |
| 478 |
|
|
DO k=1,iim |
| 479 |
|
|
eignft(i,k) = eignfnv(k,i) * coff |
| 480 |
|
|
ENDDO |
| 481 |
|
|
ENDDO |
| 482 |
|
|
DO k = 1, iim |
| 483 |
|
|
DO i = 1, iim |
| 484 |
|
|
matrinvn(i,k,j) = 0.0 |
| 485 |
|
|
DO ii = 1, iim |
| 486 |
|
|
matrinvn(i,k,j) = matrinvn(i,k,j) |
| 487 |
|
|
. + eignfnv(i,ii)*eignft(ii,k) |
| 488 |
|
|
ENDDO |
| 489 |
|
|
ENDDO |
| 490 |
|
|
ENDDO |
| 491 |
|
|
|
| 492 |
|
|
ENDDO |
| 493 |
|
|
|
| 494 |
|
|
DO j = jfiltsu, jjm |
| 495 |
|
|
|
| 496 |
|
|
DO i = 1,iim |
| 497 |
|
|
coff = coefilu(i,j) / ( 1. + coefilu(i,j) ) |
| 498 |
|
|
IF( i.LT.modfrstu(j) ) coff = 0. |
| 499 |
|
|
DO k=1,iim |
| 500 |
|
|
eignft(i,k) = eignfnv(k,i) * coff |
| 501 |
|
|
ENDDO |
| 502 |
|
|
ENDDO |
| 503 |
|
|
DO k = 1, iim |
| 504 |
|
|
DO i = 1, iim |
| 505 |
|
|
matrinvs(i,k,j-jfiltsu+1) = 0.0 |
| 506 |
|
|
DO ii = 1, iim |
| 507 |
|
|
matrinvs(i,k,j-jfiltsu+1) = matrinvs(i,k,j-jfiltsu+1) |
| 508 |
|
|
. + eignfnv(i,ii)*eignft(ii,k) |
| 509 |
|
|
ENDDO |
| 510 |
|
|
ENDDO |
| 511 |
|
|
ENDDO |
| 512 |
|
|
|
| 513 |
|
|
ENDDO |
| 514 |
|
|
|
| 515 |
|
|
c ................................................................... |
| 516 |
|
|
|
| 517 |
|
|
c |
| 518 |
|
|
334 FORMAT(1x,24i3) |
| 519 |
|
|
755 FORMAT(1x,6f10.3,i3) |
| 520 |
|
|
|
| 521 |
|
|
RETURN |
| 522 |
|
|
END |
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