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module inifilr_m |
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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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! |
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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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use parafilt |
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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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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 ! ' |
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PRINT *,'Le changer dans parafilt.h et le mettre a ',jfiltnv |
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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 |
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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( nfilvs.LT. jjm - jfiltsv +1 ) THEN |
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PRINT *,' le parametre nfilvs utilise pour la matrice ', |
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* ' matricevs est trop petit ! Le changer dans parafilt.h ' |
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PRINT *,' Le changer dans parafilt.h et le mettre a ' |
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* , jjm - jfiltsv + 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( nfilvs.GT. jjm - jfiltsv + 3 ) THEN |
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PRINT *,' le parametre nfilvs utilise pour la matrice ', |
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* ' matricevs est trop grand ! Gachis de memoire ! ' |
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PRINT *,' Le changer dans parafilt.h et le mettre a ' |
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* , jjm - jfiltsv + 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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c |
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c ................................................................... |
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c |
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c ... Calcul de la matrice filtre 'matriceu' pour les champs situes |
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c sur la grille scalaire ........ |
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c ................................................................... |
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c |
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DO j = 2, jfiltnu |
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DO i=1,iim |
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coff = coefilu(i,j) |
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IF( i.LT.modfrstu(j) ) coff = 0. |
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DO k=1,iim |
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eignft(i,k) = eignfnv(k,i) * coff |
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ENDDO |
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ENDDO |
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DO k = 1, iim |
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DO i = 1, iim |
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matriceun(i,k,j) = 0.0 |
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DO ii = 1, iim |
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matriceun(i,k,j) = matriceun(i,k,j) |
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. + eignfnv(i,ii)*eignft(ii,k) |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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DO j = jfiltsu, jjm |
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DO i=1,iim |
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coff = coefilu(i,j) |
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IF( i.LT.modfrstu(j) ) coff = 0. |
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DO k=1,iim |
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eignft(i,k) = eignfnv(k,i) * coff |
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ENDDO |
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ENDDO |
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DO k = 1, iim |
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DO i = 1, iim |
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matriceus(i,k,j-jfiltsu+1) = 0.0 |
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DO ii = 1, iim |
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matriceus(i,k,j-jfiltsu+1) = matriceus(i,k,j-jfiltsu+1) |
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. + eignfnv(i,ii)*eignft(ii,k) |
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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 ................................................................... |
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c |
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c ... Calcul de la matrice filtre 'matricev' pour les champs situes |
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c sur la grille de V ou de Z ........ |
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c ................................................................... |
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c |
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DO j = 1, jfiltnv |
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DO i = 1, iim |
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coff = coefilv(i,j) |
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IF( i.LT.modfrstv(j) ) coff = 0. |
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DO k = 1, iim |
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eignft(i,k) = eignfnu(k,i) * coff |
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ENDDO |
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ENDDO |
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DO k = 1, iim |
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DO i = 1, iim |
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matricevn(i,k,j) = 0.0 |
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DO ii = 1, iim |
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matricevn(i,k,j) = matricevn(i,k,j) |
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|
. + eignfnu(i,ii)*eignft(ii,k) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDDO |
|
|
|
|
|
ENDDO |
|
|
|
|
|
DO j = jfiltsv, jjm |
|
|
|
|
|
DO i = 1, iim |
|
|
coff = coefilv(i,j) |
|
|
IF( i.LT.modfrstv(j) ) coff = 0. |
|
|
DO k = 1, iim |
|
|
eignft(i,k) = eignfnu(k,i) * coff |
|
|
ENDDO |
|
|
ENDDO |
|
|
DO k = 1, iim |
|
|
DO i = 1, iim |
|
|
matricevs(i,k,j-jfiltsv+1) = 0.0 |
|
|
DO ii = 1, iim |
|
|
matricevs(i,k,j-jfiltsv+1) = matricevs(i,k,j-jfiltsv+1) |
|
|
. + eignfnu(i,ii)*eignft(ii,k) |
|
|
ENDDO |
|
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ENDDO |
|
|
ENDDO |
|
|
|
|
|
ENDDO |
|
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|
|
|
c ................................................................... |
|
|
c |
|
|
c ... Calcul de la matrice filtre 'matrinv' pour les champs situes |
|
|
c sur la grille scalaire , pour le filtre inverse ........ |
|
|
c ................................................................... |
|
|
c |
|
|
DO j = 2, jfiltnu |
|
|
|
|
|
DO i = 1,iim |
|
|
coff = coefilu(i,j)/ ( 1. + coefilu(i,j) ) |
|
|
IF( i.LT.modfrstu(j) ) coff = 0. |
|
|
DO k=1,iim |
|
|
eignft(i,k) = eignfnv(k,i) * coff |
|
|
ENDDO |
|
|
ENDDO |
|
|
DO k = 1, iim |
|
|
DO i = 1, iim |
|
|
matrinvn(i,k,j) = 0.0 |
|
|
DO ii = 1, iim |
|
|
matrinvn(i,k,j) = matrinvn(i,k,j) |
|
|
. + eignfnv(i,ii)*eignft(ii,k) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDDO |
|
|
|
|
|
ENDDO |
|
|
|
|
|
DO j = jfiltsu, jjm |
|
|
|
|
|
DO i = 1,iim |
|
|
coff = coefilu(i,j) / ( 1. + coefilu(i,j) ) |
|
|
IF( i.LT.modfrstu(j) ) coff = 0. |
|
|
DO k=1,iim |
|
|
eignft(i,k) = eignfnv(k,i) * coff |
|
|
ENDDO |
|
|
ENDDO |
|
|
DO k = 1, iim |
|
|
DO i = 1, iim |
|
|
matrinvs(i,k,j-jfiltsu+1) = 0.0 |
|
|
DO ii = 1, iim |
|
|
matrinvs(i,k,j-jfiltsu+1) = matrinvs(i,k,j-jfiltsu+1) |
|
|
. + eignfnv(i,ii)*eignft(ii,k) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDDO |
|
|
|
|
|
ENDDO |
|
|
|
|
|
c ................................................................... |
|
|
|
|
|
c |
|
|
334 FORMAT(1x,24i3) |
|
|
755 FORMAT(1x,6f10.3,i3) |
|
| 2 |
|
|
| 3 |
RETURN |
IMPLICIT NONE |
| 4 |
END |
|
| 5 |
|
! North: |
| 6 |
|
|
| 7 |
|
INTEGER jfiltnu, jfiltnv |
| 8 |
|
! index of the last scalar line filtered in northern hemisphere |
| 9 |
|
|
| 10 |
|
real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
| 11 |
|
! (iim, iim, 2:jfiltnu) |
| 12 |
|
|
| 13 |
|
real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
| 14 |
|
|
| 15 |
|
! South: |
| 16 |
|
|
| 17 |
|
integer jfiltsu, jfiltsv |
| 18 |
|
! index of the first line filtered in southern hemisphere |
| 19 |
|
|
| 20 |
|
real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :) |
| 21 |
|
! (iim, iim, jfiltsu:jjm) |
| 22 |
|
|
| 23 |
|
real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) |
| 24 |
|
|
| 25 |
|
contains |
| 26 |
|
|
| 27 |
|
SUBROUTINE inifilr |
| 28 |
|
|
| 29 |
|
! From filtrez/inifilr.F, version 1.1.1.1, 2004/05/19 12:53:09 |
| 30 |
|
! H. Upadhyaya, O. Sharma |
| 31 |
|
|
| 32 |
|
! This procedure computes the filtering coefficients for scalar |
| 33 |
|
! lines and meridional wind v lines. The modes are filtered from |
| 34 |
|
! modfrst to iim. We filter all those latitude lines where coefil |
| 35 |
|
! < 1. No filtering at poles. colat0 is to be used when alpha |
| 36 |
|
! (stretching coefficient) is set equal to zero for the regular |
| 37 |
|
! grid case. |
| 38 |
|
|
| 39 |
|
USE dimens_m, ONLY : iim, jjm |
| 40 |
|
USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
| 41 |
|
use inifgn_m, only: inifgn |
| 42 |
|
use jumble, only: new_unit |
| 43 |
|
use nr_util, only: pi |
| 44 |
|
|
| 45 |
|
! Local: |
| 46 |
|
|
| 47 |
|
REAL dlatu(jjm) |
| 48 |
|
REAL rlamda(2: iim) |
| 49 |
|
real eignvl(iim) ! eigenvalues sorted in descending order (<= 0) |
| 50 |
|
INTEGER i, j, unit |
| 51 |
|
REAL colat0 ! > 0 |
| 52 |
|
REAL eignft(iim, iim) |
| 53 |
|
|
| 54 |
|
real eignfnu(iim, iim), eignfnv(iim, iim) |
| 55 |
|
! eigenvectors of the discrete second derivative with respect to longitude |
| 56 |
|
|
| 57 |
|
! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
| 58 |
|
real, allocatable:: coefilnu(:, :) ! (iim, 2:jfiltnu) |
| 59 |
|
real, allocatable:: coefilsu(:, :) ! (iim, jfiltsu:jjm) |
| 60 |
|
real, allocatable:: coefilnv(:, :) ! (iim, jfiltnv) |
| 61 |
|
real, allocatable:: coefilsv(:, :) ! (iim, jfiltsv:jjm) |
| 62 |
|
|
| 63 |
|
! Index of the mode from where modes are filtered: |
| 64 |
|
integer, allocatable:: modfrstnu(:) ! (2:jfiltnu) |
| 65 |
|
integer, allocatable:: modfrstsu(:) ! (jfiltsu:jjm) |
| 66 |
|
integer, allocatable:: modfrstnv(:) ! (jfiltnv) |
| 67 |
|
integer, allocatable:: modfrstsv(:) ! (jfiltsv:jjm) |
| 68 |
|
|
| 69 |
|
!----------------------------------------------------------- |
| 70 |
|
|
| 71 |
|
print *, "Call sequence information: inifilr" |
| 72 |
|
|
| 73 |
|
CALL inifgn(eignvl, eignfnu, eignfnv) |
| 74 |
|
|
| 75 |
|
! Calcul de colat0 |
| 76 |
|
forall (j = 1:jjm) dlatu(j) = rlatu(j) - rlatu(j + 1) |
| 77 |
|
colat0 = min(0.5, minval(dlatu) / minval(xprimu(:iim))) |
| 78 |
|
PRINT *, 'colat0 = ', colat0 |
| 79 |
|
|
| 80 |
|
rlamda = iim / (pi * colat0 / grossismx) / sqrt(- eignvl(2: iim)) |
| 81 |
|
|
| 82 |
|
! Determination de jfiltnu, jfiltsu, jfiltnv, jfiltsv |
| 83 |
|
|
| 84 |
|
jfiltnu = (jjm + 1) / 2 |
| 85 |
|
do while (cos(rlatu(jfiltnu)) >= colat0 & |
| 86 |
|
.or. rlamda(iim) * cos(rlatu(jfiltnu)) >= 1.) |
| 87 |
|
jfiltnu = jfiltnu - 1 |
| 88 |
|
end do |
| 89 |
|
|
| 90 |
|
jfiltsu = jjm / 2 + 2 |
| 91 |
|
do while (cos(rlatu(jfiltsu)) >= colat0 & |
| 92 |
|
.or. rlamda(iim) * cos(rlatu(jfiltsu)) >= 1.) |
| 93 |
|
jfiltsu = jfiltsu + 1 |
| 94 |
|
end do |
| 95 |
|
|
| 96 |
|
jfiltnv = jjm / 2 |
| 97 |
|
do while ((cos(rlatv(jfiltnv)) >= colat0 & |
| 98 |
|
.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) .and. jfiltnv >= 2) |
| 99 |
|
jfiltnv = jfiltnv - 1 |
| 100 |
|
end do |
| 101 |
|
|
| 102 |
|
if (cos(rlatv(jfiltnv)) >= colat0 & |
| 103 |
|
.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) then |
| 104 |
|
! {jfiltnv == 1} |
| 105 |
|
PRINT *, 'Could not find jfiltnv.' |
| 106 |
|
STOP 1 |
| 107 |
|
END IF |
| 108 |
|
|
| 109 |
|
jfiltsv = (jjm + 1)/ 2 + 1 |
| 110 |
|
do while ((cos(rlatv(jfiltsv)) >= colat0 & |
| 111 |
|
.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) .and. jfiltsv <= jjm - 1) |
| 112 |
|
jfiltsv = jfiltsv + 1 |
| 113 |
|
end do |
| 114 |
|
|
| 115 |
|
IF (cos(rlatv(jfiltsv)) >= colat0 & |
| 116 |
|
.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) THEN |
| 117 |
|
! {jfiltsv == jjm} |
| 118 |
|
PRINT *, 'Could not find jfiltsv.' |
| 119 |
|
STOP 1 |
| 120 |
|
END IF |
| 121 |
|
|
| 122 |
|
PRINT *, 'jfiltnu =', jfiltnu |
| 123 |
|
PRINT *, 'jfiltsu =', jfiltsu |
| 124 |
|
PRINT *, 'jfiltnv =', jfiltnv |
| 125 |
|
PRINT *, 'jfiltsv =', jfiltsv |
| 126 |
|
|
| 127 |
|
! D\'etermination de coefil[ns][uv], modfrst[ns][uv]: |
| 128 |
|
|
| 129 |
|
allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm)) |
| 130 |
|
allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm)) |
| 131 |
|
allocate(coefilnu(iim, 2:jfiltnu), coefilsu(iim, jfiltsu:jjm)) |
| 132 |
|
allocate(coefilnv(iim, jfiltnv), coefilsv(iim, jfiltsv:jjm)) |
| 133 |
|
|
| 134 |
|
coefilnu = 0. |
| 135 |
|
coefilnv = 0. |
| 136 |
|
coefilsu = 0. |
| 137 |
|
coefilsv = 0. |
| 138 |
|
|
| 139 |
|
DO j = 2, jfiltnu |
| 140 |
|
modfrstnu(j) = 2 |
| 141 |
|
do while (rlamda(modfrstnu(j)) * cos(rlatu(j)) >= 1. & |
| 142 |
|
.and. modfrstnu(j) <= iim - 1) |
| 143 |
|
modfrstnu(j) = modfrstnu(j) + 1 |
| 144 |
|
end do |
| 145 |
|
|
| 146 |
|
if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then |
| 147 |
|
DO i = modfrstnu(j), iim |
| 148 |
|
coefilnu(i, j) = rlamda(i) * cos(rlatu(j)) - 1. |
| 149 |
|
end DO |
| 150 |
|
end if |
| 151 |
|
END DO |
| 152 |
|
|
| 153 |
|
DO j = 1, jfiltnv |
| 154 |
|
modfrstnv(j) = 2 |
| 155 |
|
do while (rlamda(modfrstnv(j)) * cos(rlatv(j)) >= 1. & |
| 156 |
|
.and. modfrstnv(j) <= iim - 1) |
| 157 |
|
modfrstnv(j) = modfrstnv(j) + 1 |
| 158 |
|
end do |
| 159 |
|
|
| 160 |
|
if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then |
| 161 |
|
DO i = modfrstnv(j), iim |
| 162 |
|
coefilnv(i, j) = rlamda(i) * cos(rlatv(j)) - 1. |
| 163 |
|
end DO |
| 164 |
|
end if |
| 165 |
|
end DO |
| 166 |
|
|
| 167 |
|
DO j = jfiltsu, jjm |
| 168 |
|
modfrstsu(j) = 2 |
| 169 |
|
do while (rlamda(modfrstsu(j)) * cos(rlatu(j)) >= 1. & |
| 170 |
|
.and. modfrstsu(j) <= iim - 1) |
| 171 |
|
modfrstsu(j) = modfrstsu(j) + 1 |
| 172 |
|
end do |
| 173 |
|
|
| 174 |
|
if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then |
| 175 |
|
DO i = modfrstsu(j), iim |
| 176 |
|
coefilsu(i, j) = rlamda(i) * cos(rlatu(j)) - 1. |
| 177 |
|
end DO |
| 178 |
|
end if |
| 179 |
|
end DO |
| 180 |
|
|
| 181 |
|
DO j = jfiltsv, jjm |
| 182 |
|
modfrstsv(j) = 2 |
| 183 |
|
do while (rlamda(modfrstsv(j)) * cos(rlatv(j)) >= 1. & |
| 184 |
|
.and. modfrstsv(j) <= iim - 1) |
| 185 |
|
modfrstsv(j) = modfrstsv(j) + 1 |
| 186 |
|
end do |
| 187 |
|
|
| 188 |
|
if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then |
| 189 |
|
DO i = modfrstsv(j), iim |
| 190 |
|
coefilsv(i, j) = rlamda(i) * cos(rlatv(j)) - 1. |
| 191 |
|
end DO |
| 192 |
|
end if |
| 193 |
|
END DO |
| 194 |
|
|
| 195 |
|
call new_unit(unit) |
| 196 |
|
open(unit, file = "inifilr_out.txt", status = "replace", action = "write") |
| 197 |
|
write(unit, fmt = *) '"EIGNVL"', eignvl |
| 198 |
|
write(unit, fmt = *) '"modfrstnu"', modfrstnu |
| 199 |
|
write(unit, fmt = *) '"modfrstsu"', modfrstsu |
| 200 |
|
write(unit, fmt = *) '"modfrstnv"', modfrstnv |
| 201 |
|
write(unit, fmt = *) '"modfrstsv"', modfrstsv |
| 202 |
|
close(unit) |
| 203 |
|
|
| 204 |
|
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
| 205 |
|
allocate(matricevn(iim, iim, jfiltnv)) |
| 206 |
|
allocate(matricevs(iim, iim, jfiltsv:jjm)) |
| 207 |
|
allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) |
| 208 |
|
|
| 209 |
|
! Calcul de la matrice filtre 'matriceu' pour les champs situes |
| 210 |
|
! sur la grille scalaire |
| 211 |
|
|
| 212 |
|
DO j = 2, jfiltnu |
| 213 |
|
eignft(:modfrstnu(j) - 1, :) = 0. |
| 214 |
|
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) & |
| 215 |
|
* coefilnu(i, j) |
| 216 |
|
matriceun(:, :, j) = matmul(eignfnv, eignft) |
| 217 |
|
END DO |
| 218 |
|
|
| 219 |
|
DO j = jfiltsu, jjm |
| 220 |
|
eignft(:modfrstsu(j) - 1, :) = 0. |
| 221 |
|
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) & |
| 222 |
|
* coefilsu(i, j) |
| 223 |
|
matriceus(:, :, j) = matmul(eignfnv, eignft) |
| 224 |
|
END DO |
| 225 |
|
|
| 226 |
|
! Calcul de la matrice filtre 'matricev' pour les champs situes |
| 227 |
|
! sur la grille de V ou de Z |
| 228 |
|
|
| 229 |
|
DO j = 1, jfiltnv |
| 230 |
|
eignft(:modfrstnv(j) - 1, :) = 0. |
| 231 |
|
forall (i = modfrstnv(j): iim) eignft(i, :) = eignfnu(:, i) & |
| 232 |
|
* coefilnv(i, j) |
| 233 |
|
matricevn(:, :, j) = matmul(eignfnu, eignft) |
| 234 |
|
END DO |
| 235 |
|
|
| 236 |
|
DO j = jfiltsv, jjm |
| 237 |
|
eignft(:modfrstsv(j) - 1, :) = 0. |
| 238 |
|
forall (i = modfrstsv(j):iim) eignft(i, :) = eignfnu(:, i) & |
| 239 |
|
* coefilsv(i, j) |
| 240 |
|
matricevs(:, :, j) = matmul(eignfnu, eignft) |
| 241 |
|
END DO |
| 242 |
|
|
| 243 |
|
! Calcul de la matrice filtre 'matrinv' pour les champs situes |
| 244 |
|
! sur la grille scalaire , pour le filtre inverse |
| 245 |
|
|
| 246 |
|
DO j = 2, jfiltnu |
| 247 |
|
eignft(:modfrstnu(j) - 1, :) = 0. |
| 248 |
|
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) & |
| 249 |
|
* coefilnu(i, j) / (1. + coefilnu(i, j)) |
| 250 |
|
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
| 251 |
|
END DO |
| 252 |
|
|
| 253 |
|
DO j = jfiltsu, jjm |
| 254 |
|
eignft(:modfrstsu(j) - 1, :) = 0. |
| 255 |
|
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) & |
| 256 |
|
* coefilsu(i, j) / (1. + coefilsu(i, j)) |
| 257 |
|
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
| 258 |
|
END DO |
| 259 |
|
|
| 260 |
|
END SUBROUTINE inifilr |
| 261 |
|
|
| 262 |
|
end module inifilr_m |
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