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SUBROUTINE inifilr |
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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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use coefils |
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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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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 |
|
|
ENDDO |
|
|
ENDDO |
|
|
|
|
|
ENDDO |
|
|
|
|
|
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 |
! From filtrez/inifilr.F,v 1.1.1.1 2004/05/19 12:53:09 |
| 4 |
END |
! H. Upadhyaya, O.Sharma |
| 5 |
|
|
| 6 |
|
! This routine computes the eigenfunctions of the laplacien |
| 7 |
|
! on the stretched grid, and the filtering coefficients |
| 8 |
|
|
| 9 |
|
! We designate: |
| 10 |
|
! eignfn eigenfunctions of the discrete laplacien |
| 11 |
|
! eigenvl eigenvalues |
| 12 |
|
! jfiltn indexof the last scalar line filtered in NH |
| 13 |
|
! jfilts index of the first line filtered in SH |
| 14 |
|
! modfrst index of the mode from where modes are filtered |
| 15 |
|
! modemax maximum number of modes ( im ) |
| 16 |
|
! coefil filtering coefficients ( lamda_max*cos(rlat)/lamda ) |
| 17 |
|
! sdd SQRT( dx ) |
| 18 |
|
|
| 19 |
|
! the modes are filtered from modfrst to modemax |
| 20 |
|
|
| 21 |
|
USE dimens_m |
| 22 |
|
USE paramet_m |
| 23 |
|
USE logic |
| 24 |
|
USE comgeom |
| 25 |
|
USE serre |
| 26 |
|
USE parafilt |
| 27 |
|
USE coefils |
| 28 |
|
|
| 29 |
|
IMPLICIT NONE |
| 30 |
|
|
| 31 |
|
REAL dlonu(iim), dlatu(jjm) |
| 32 |
|
REAL rlamda(iim), eignvl(iim) |
| 33 |
|
|
| 34 |
|
REAL lamdamax, pi, cof |
| 35 |
|
INTEGER i, j, modemax, imx, k, kf, ii |
| 36 |
|
REAL dymin, dxmin, colat0 |
| 37 |
|
REAL eignft(iim,iim), coff |
| 38 |
|
EXTERNAL inifgn |
| 39 |
|
|
| 40 |
|
!----------------------------------------------------------- |
| 41 |
|
|
| 42 |
|
|
| 43 |
|
pi = 2.*asin(1.) |
| 44 |
|
|
| 45 |
|
DO i = 1, iim |
| 46 |
|
dlonu(i) = xprimu(i) |
| 47 |
|
END DO |
| 48 |
|
|
| 49 |
|
CALL inifgn(eignvl) |
| 50 |
|
|
| 51 |
|
PRINT *, ' EIGNVL ' |
| 52 |
|
PRINT 250, eignvl |
| 53 |
|
250 FORMAT (1X,5E13.6) |
| 54 |
|
|
| 55 |
|
! compute eigenvalues and eigenfunctions |
| 56 |
|
|
| 57 |
|
|
| 58 |
|
!................................................................. |
| 59 |
|
|
| 60 |
|
! compute the filtering coefficients for scalar lines and |
| 61 |
|
! meridional wind v-lines |
| 62 |
|
|
| 63 |
|
! we filter all those latitude lines where coefil < 1 |
| 64 |
|
! NO FILTERING AT POLES |
| 65 |
|
|
| 66 |
|
! colat0 is to be used when alpha (stretching coefficient) |
| 67 |
|
! is set equal to zero for the regular grid case |
| 68 |
|
|
| 69 |
|
! ....... Calcul de colat0 ......... |
| 70 |
|
! ..... colat0 = minimum de ( 0.5, min dy/ min dx ) ... |
| 71 |
|
|
| 72 |
|
|
| 73 |
|
DO j = 1, jjm |
| 74 |
|
dlatu(j) = rlatu(j) - rlatu(j+1) |
| 75 |
|
END DO |
| 76 |
|
|
| 77 |
|
dxmin = dlonu(1) |
| 78 |
|
DO i = 2, iim |
| 79 |
|
dxmin = min(dxmin,dlonu(i)) |
| 80 |
|
END DO |
| 81 |
|
dymin = dlatu(1) |
| 82 |
|
DO j = 2, jjm |
| 83 |
|
dymin = min(dymin,dlatu(j)) |
| 84 |
|
END DO |
| 85 |
|
|
| 86 |
|
|
| 87 |
|
colat0 = min(0.5,dymin/dxmin) |
| 88 |
|
|
| 89 |
|
IF ( .NOT. fxyhypb .AND. ysinus) THEN |
| 90 |
|
colat0 = 0.6 |
| 91 |
|
! ...... a revoir pour ysinus ! ....... |
| 92 |
|
alphax = 0. |
| 93 |
|
END IF |
| 94 |
|
|
| 95 |
|
PRINT 50, colat0, alphax |
| 96 |
|
50 FORMAT (/15X,' Inifilr colat0 alphax ',2E16.7) |
| 97 |
|
|
| 98 |
|
IF (alphax==1.) THEN |
| 99 |
|
PRINT *, ' Inifilr alphax doit etre < a 1. Corriger ' |
| 100 |
|
STOP 1 |
| 101 |
|
END IF |
| 102 |
|
|
| 103 |
|
lamdamax = iim/(pi*colat0*(1.-alphax)) |
| 104 |
|
|
| 105 |
|
DO i = 2, iim |
| 106 |
|
rlamda(i) = lamdamax/sqrt(abs(eignvl(i))) |
| 107 |
|
END DO |
| 108 |
|
|
| 109 |
|
|
| 110 |
|
DO j = 1, jjm |
| 111 |
|
DO i = 1, iim |
| 112 |
|
coefilu(i,j) = 0.0 |
| 113 |
|
coefilv(i,j) = 0.0 |
| 114 |
|
coefilu2(i,j) = 0.0 |
| 115 |
|
coefilv2(i,j) = 0.0 |
| 116 |
|
end DO |
| 117 |
|
END DO |
| 118 |
|
|
| 119 |
|
|
| 120 |
|
! ... Determination de jfiltnu,jfiltnv,jfiltsu,jfiltsv .... |
| 121 |
|
! ......................................................... |
| 122 |
|
|
| 123 |
|
modemax = iim |
| 124 |
|
|
| 125 |
|
!ccc imx = modemax - 4 * (modemax/iim) |
| 126 |
|
|
| 127 |
|
imx = iim |
| 128 |
|
|
| 129 |
|
PRINT *, ' TRUNCATION AT ', imx |
| 130 |
|
|
| 131 |
|
DO j = 2, jjm/2 + 1 |
| 132 |
|
cof = cos(rlatu(j))/colat0 |
| 133 |
|
IF (cof<1.) THEN |
| 134 |
|
IF (rlamda(imx)*cos(rlatu(j))<1.) jfiltnu = j |
| 135 |
|
END IF |
| 136 |
|
|
| 137 |
|
cof = cos(rlatu(jjp1-j+1))/colat0 |
| 138 |
|
IF (cof<1.) THEN |
| 139 |
|
IF (rlamda(imx)*cos(rlatu(jjp1-j+1))<1.) jfiltsu = jjp1 - j + 1 |
| 140 |
|
END IF |
| 141 |
|
END DO |
| 142 |
|
|
| 143 |
|
DO j = 1, jjm/2 |
| 144 |
|
cof = cos(rlatv(j))/colat0 |
| 145 |
|
IF (cof<1.) THEN |
| 146 |
|
IF (rlamda(imx)*cos(rlatv(j))<1.) jfiltnv = j |
| 147 |
|
END IF |
| 148 |
|
|
| 149 |
|
cof = cos(rlatv(jjm-j+1))/colat0 |
| 150 |
|
IF (cof<1.) THEN |
| 151 |
|
IF (rlamda(imx)*cos(rlatv(jjm-j+1))<1.) jfiltsv = jjm - j + 1 |
| 152 |
|
END IF |
| 153 |
|
END DO |
| 154 |
|
|
| 155 |
|
|
| 156 |
|
IF (jfiltnu<=0) jfiltnu = 1 |
| 157 |
|
IF (jfiltnu>jjm/2+1) THEN |
| 158 |
|
PRINT *, ' jfiltnu en dehors des valeurs acceptables ', jfiltnu |
| 159 |
|
STOP 1 |
| 160 |
|
END IF |
| 161 |
|
|
| 162 |
|
IF (jfiltsu<=0) jfiltsu = 1 |
| 163 |
|
IF (jfiltsu>jjm+1) THEN |
| 164 |
|
PRINT *, ' jfiltsu en dehors des valeurs acceptables ', jfiltsu |
| 165 |
|
STOP 1 |
| 166 |
|
END IF |
| 167 |
|
|
| 168 |
|
IF (jfiltnv<=0) jfiltnv = 1 |
| 169 |
|
IF (jfiltnv>jjm/2) THEN |
| 170 |
|
PRINT *, ' jfiltnv en dehors des valeurs acceptables ', jfiltnv |
| 171 |
|
STOP 1 |
| 172 |
|
END IF |
| 173 |
|
|
| 174 |
|
IF (jfiltsv<=0) jfiltsv = 1 |
| 175 |
|
IF (jfiltsv>jjm) THEN |
| 176 |
|
PRINT *, ' jfiltsv en dehors des valeurs acceptables ', jfiltsv |
| 177 |
|
STOP 1 |
| 178 |
|
END IF |
| 179 |
|
|
| 180 |
|
PRINT *, ' jfiltnv jfiltsv jfiltnu jfiltsu ', jfiltnv, jfiltsv, jfiltnu, & |
| 181 |
|
jfiltsu |
| 182 |
|
|
| 183 |
|
|
| 184 |
|
! ... Determination de coefilu,coefilv,n=modfrstu,modfrstv .... |
| 185 |
|
!................................................................ |
| 186 |
|
|
| 187 |
|
|
| 188 |
|
DO j = 1, jjm |
| 189 |
|
modfrstu(j) = iim |
| 190 |
|
modfrstv(j) = iim |
| 191 |
|
END DO |
| 192 |
|
|
| 193 |
|
DO j = 2, jfiltnu |
| 194 |
|
DO k = 2, modemax |
| 195 |
|
cof = rlamda(k)*cos(rlatu(j)) |
| 196 |
|
IF (cof<1.) GO TO 82 |
| 197 |
|
end DO |
| 198 |
|
cycle |
| 199 |
|
82 modfrstu(j) = k |
| 200 |
|
|
| 201 |
|
kf = modfrstu(j) |
| 202 |
|
DO k = kf, modemax |
| 203 |
|
cof = rlamda(k)*cos(rlatu(j)) |
| 204 |
|
coefilu(k,j) = cof - 1. |
| 205 |
|
coefilu2(k,j) = cof*cof - 1. |
| 206 |
|
end DO |
| 207 |
|
END DO |
| 208 |
|
|
| 209 |
|
|
| 210 |
|
DO j = 1, jfiltnv |
| 211 |
|
DO k = 2, modemax |
| 212 |
|
cof = rlamda(k)*cos(rlatv(j)) |
| 213 |
|
IF (cof<1.) GO TO 87 |
| 214 |
|
end DO |
| 215 |
|
cycle |
| 216 |
|
87 modfrstv(j) = k |
| 217 |
|
|
| 218 |
|
kf = modfrstv(j) |
| 219 |
|
DO k = kf, modemax |
| 220 |
|
cof = rlamda(k)*cos(rlatv(j)) |
| 221 |
|
coefilv(k,j) = cof - 1. |
| 222 |
|
coefilv2(k,j) = cof*cof - 1. |
| 223 |
|
end DO |
| 224 |
|
end DO |
| 225 |
|
|
| 226 |
|
DO j = jfiltsu, jjm |
| 227 |
|
DO k = 2, modemax |
| 228 |
|
cof = rlamda(k)*cos(rlatu(j)) |
| 229 |
|
IF (cof<1.) GO TO 92 |
| 230 |
|
end DO |
| 231 |
|
cycle |
| 232 |
|
92 modfrstu(j) = k |
| 233 |
|
|
| 234 |
|
kf = modfrstu(j) |
| 235 |
|
DO k = kf, modemax |
| 236 |
|
cof = rlamda(k)*cos(rlatu(j)) |
| 237 |
|
coefilu(k,j) = cof - 1. |
| 238 |
|
coefilu2(k,j) = cof*cof - 1. |
| 239 |
|
end DO |
| 240 |
|
end DO |
| 241 |
|
|
| 242 |
|
DO j = jfiltsv, jjm |
| 243 |
|
DO k = 2, modemax |
| 244 |
|
cof = rlamda(k)*cos(rlatv(j)) |
| 245 |
|
IF (cof<1.) GO TO 97 |
| 246 |
|
end DO |
| 247 |
|
cycle |
| 248 |
|
97 modfrstv(j) = k |
| 249 |
|
|
| 250 |
|
kf = modfrstv(j) |
| 251 |
|
DO k = kf, modemax |
| 252 |
|
cof = rlamda(k)*cos(rlatv(j)) |
| 253 |
|
coefilv(k,j) = cof - 1. |
| 254 |
|
coefilv2(k,j) = cof*cof - 1. |
| 255 |
|
end DO |
| 256 |
|
END DO |
| 257 |
|
|
| 258 |
|
|
| 259 |
|
IF (jfiltnv>=jjm/2 .OR. jfiltnu>=jjm/2) THEN |
| 260 |
|
|
| 261 |
|
IF (jfiltnv==jfiltsv) jfiltsv = 1 + jfiltnv |
| 262 |
|
IF (jfiltnu==jfiltsu) jfiltsu = 1 + jfiltnu |
| 263 |
|
|
| 264 |
|
PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu', jfiltnv, jfiltsv, jfiltnu, & |
| 265 |
|
jfiltsu |
| 266 |
|
END IF |
| 267 |
|
|
| 268 |
|
PRINT *, ' Modes premiers v ' |
| 269 |
|
PRINT 334, modfrstv |
| 270 |
|
PRINT *, ' Modes premiers u ' |
| 271 |
|
PRINT 334, modfrstu |
| 272 |
|
|
| 273 |
|
|
| 274 |
|
IF (nfilun<jfiltnu) THEN |
| 275 |
|
PRINT *, ' le parametre nfilun utilise pour la matrice ', & |
| 276 |
|
' matriceun est trop petit ! ' |
| 277 |
|
PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnu |
| 278 |
|
PRINT *, 'Pour information, nfilun,nfilus,nfilvn,nfilvs ', & |
| 279 |
|
'doivent etre egaux successivement a ', jfiltnu, jjm - jfiltsu + 1, & |
| 280 |
|
jfiltnv, jjm - jfiltsv + 1 |
| 281 |
|
STOP 1 |
| 282 |
|
END IF |
| 283 |
|
IF (nfilun>jfiltnu+2) THEN |
| 284 |
|
PRINT *, ' le parametre nfilun utilise pour la matrice ', & |
| 285 |
|
' matriceun est trop grand ! Gachis de memoire ! ' |
| 286 |
|
PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnu |
| 287 |
|
PRINT *, 'Pour information, nfilun,nfilus,nfilvn,nfilvs ', & |
| 288 |
|
'doivent etre egaux successivement a ', jfiltnu, jjm - jfiltsu + 1, & |
| 289 |
|
jfiltnv, jjm - jfiltsv + 1 |
| 290 |
|
END IF |
| 291 |
|
IF (nfilus<jjm-jfiltsu+1) THEN |
| 292 |
|
PRINT *, ' le parametre nfilus utilise pour la matrice ', & |
| 293 |
|
' matriceus est trop petit ! ' |
| 294 |
|
PRINT *, ' Le changer dans parafilt.h et le mettre a ', & |
| 295 |
|
jjm - jfiltsu + 1 |
| 296 |
|
PRINT *, ' Pour information , nfilun,nfilus,nfilvn,nfilvs ', & |
| 297 |
|
'doivent etre egaux successivement a ', jfiltnu, jjm - jfiltsu + 1, & |
| 298 |
|
jfiltnv, jjm - jfiltsv + 1 |
| 299 |
|
STOP 1 |
| 300 |
|
END IF |
| 301 |
|
IF (nfilus>jjm-jfiltsu+3) THEN |
| 302 |
|
PRINT *, ' le parametre nfilus utilise pour la matrice ', & |
| 303 |
|
' matriceus est trop grand ! ' |
| 304 |
|
PRINT *, ' Le changer dans parafilt.h et le mettre a ', & |
| 305 |
|
jjm - jfiltsu + 1 |
| 306 |
|
PRINT *, ' Pour information , nfilun,nfilus,nfilvn,nfilvs ', & |
| 307 |
|
'doivent etre egaux successivement a ', jfiltnu, jjm - jfiltsu + 1, & |
| 308 |
|
jfiltnv, jjm - jfiltsv + 1 |
| 309 |
|
END IF |
| 310 |
|
IF (nfilvn<jfiltnv) THEN |
| 311 |
|
PRINT *, ' le parametre nfilvn utilise pour la matrice ', & |
| 312 |
|
' matricevn est trop petit ! ' |
| 313 |
|
PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnv |
| 314 |
|
PRINT *, ' Pour information , nfilun,nfilus,nfilvn,nfilvs ', & |
| 315 |
|
'doivent etre egaux successivement a ', jfiltnu, jjm - jfiltsu + 1, & |
| 316 |
|
jfiltnv, jjm - jfiltsv + 1 |
| 317 |
|
STOP 1 |
| 318 |
|
END IF |
| 319 |
|
IF (nfilvn>jfiltnv+2) THEN |
| 320 |
|
PRINT *, ' le parametre nfilvn utilise pour la matrice ', & |
| 321 |
|
' matricevn est trop grand ! Gachis de memoire ! ' |
| 322 |
|
PRINT *, 'Le changer dans parafilt.h et le mettre a ', jfiltnv |
| 323 |
|
PRINT *, ' Pour information , nfilun,nfilus,nfilvn,nfilvs ', & |
| 324 |
|
'doivent etre egaux successivement a ', jfiltnu, jjm - jfiltsu + 1, & |
| 325 |
|
jfiltnv, jjm - jfiltsv + 1 |
| 326 |
|
END IF |
| 327 |
|
IF (nfilvs<jjm-jfiltsv+1) THEN |
| 328 |
|
PRINT *, ' le parametre nfilvs utilise pour la matrice ', & |
| 329 |
|
' matricevs est trop petit ! Le changer dans parafilt.h ' |
| 330 |
|
PRINT *, ' Le changer dans parafilt.h et le mettre a ', & |
| 331 |
|
jjm - jfiltsv + 1 |
| 332 |
|
PRINT *, ' Pour information , nfilun,nfilus,nfilvn,nfilvs ', & |
| 333 |
|
'doivent etre egaux successivement a ', jfiltnu, jjm - jfiltsu + 1, & |
| 334 |
|
jfiltnv, jjm - jfiltsv + 1 |
| 335 |
|
STOP 1 |
| 336 |
|
END IF |
| 337 |
|
IF (nfilvs>jjm-jfiltsv+3) THEN |
| 338 |
|
PRINT *, ' le parametre nfilvs utilise pour la matrice ', & |
| 339 |
|
' matricevs est trop grand ! Gachis de memoire ! ' |
| 340 |
|
PRINT *, ' Le changer dans parafilt.h et le mettre a ', & |
| 341 |
|
jjm - jfiltsv + 1 |
| 342 |
|
PRINT *, ' Pour information , nfilun,nfilus,nfilvn,nfilvs ', & |
| 343 |
|
'doivent etre egaux successivement a ', jfiltnu, jjm - jfiltsu + 1, & |
| 344 |
|
jfiltnv, jjm - jfiltsv + 1 |
| 345 |
|
END IF |
| 346 |
|
|
| 347 |
|
! ... Calcul de la matrice filtre 'matriceu' pour les champs situes |
| 348 |
|
! sur la grille scalaire ........ |
| 349 |
|
|
| 350 |
|
DO j = 2, jfiltnu |
| 351 |
|
|
| 352 |
|
DO i = 1, iim |
| 353 |
|
coff = coefilu(i,j) |
| 354 |
|
IF (i<modfrstu(j)) coff = 0. |
| 355 |
|
DO k = 1, iim |
| 356 |
|
eignft(i,k) = eignfnv(k,i)*coff |
| 357 |
|
END DO |
| 358 |
|
END DO |
| 359 |
|
DO k = 1, iim |
| 360 |
|
DO i = 1, iim |
| 361 |
|
matriceun(i,k,j) = 0.0 |
| 362 |
|
DO ii = 1, iim |
| 363 |
|
matriceun(i,k,j) = matriceun(i,k,j) + eignfnv(i,ii)*eignft(ii,k) |
| 364 |
|
END DO |
| 365 |
|
END DO |
| 366 |
|
END DO |
| 367 |
|
|
| 368 |
|
END DO |
| 369 |
|
|
| 370 |
|
DO j = jfiltsu, jjm |
| 371 |
|
|
| 372 |
|
DO i = 1, iim |
| 373 |
|
coff = coefilu(i,j) |
| 374 |
|
IF (i<modfrstu(j)) coff = 0. |
| 375 |
|
DO k = 1, iim |
| 376 |
|
eignft(i,k) = eignfnv(k,i)*coff |
| 377 |
|
END DO |
| 378 |
|
END DO |
| 379 |
|
DO k = 1, iim |
| 380 |
|
DO i = 1, iim |
| 381 |
|
matriceus(i,k,j-jfiltsu+1) = 0.0 |
| 382 |
|
DO ii = 1, iim |
| 383 |
|
matriceus(i,k,j-jfiltsu+1) = matriceus(i,k,j-jfiltsu+1) + & |
| 384 |
|
eignfnv(i,ii)*eignft(ii,k) |
| 385 |
|
END DO |
| 386 |
|
END DO |
| 387 |
|
END DO |
| 388 |
|
|
| 389 |
|
END DO |
| 390 |
|
|
| 391 |
|
! ................................................................... |
| 392 |
|
|
| 393 |
|
! ... Calcul de la matrice filtre 'matricev' pour les champs situes |
| 394 |
|
! sur la grille de V ou de Z ........ |
| 395 |
|
! ................................................................... |
| 396 |
|
|
| 397 |
|
DO j = 1, jfiltnv |
| 398 |
|
|
| 399 |
|
DO i = 1, iim |
| 400 |
|
coff = coefilv(i,j) |
| 401 |
|
IF (i<modfrstv(j)) coff = 0. |
| 402 |
|
DO k = 1, iim |
| 403 |
|
eignft(i,k) = eignfnu(k,i)*coff |
| 404 |
|
END DO |
| 405 |
|
END DO |
| 406 |
|
DO k = 1, iim |
| 407 |
|
DO i = 1, iim |
| 408 |
|
matricevn(i,k,j) = 0.0 |
| 409 |
|
DO ii = 1, iim |
| 410 |
|
matricevn(i,k,j) = matricevn(i,k,j) + eignfnu(i,ii)*eignft(ii,k) |
| 411 |
|
END DO |
| 412 |
|
END DO |
| 413 |
|
END DO |
| 414 |
|
|
| 415 |
|
END DO |
| 416 |
|
|
| 417 |
|
DO j = jfiltsv, jjm |
| 418 |
|
|
| 419 |
|
DO i = 1, iim |
| 420 |
|
coff = coefilv(i,j) |
| 421 |
|
IF (i<modfrstv(j)) coff = 0. |
| 422 |
|
DO k = 1, iim |
| 423 |
|
eignft(i,k) = eignfnu(k,i)*coff |
| 424 |
|
END DO |
| 425 |
|
END DO |
| 426 |
|
DO k = 1, iim |
| 427 |
|
DO i = 1, iim |
| 428 |
|
matricevs(i,k,j-jfiltsv+1) = 0.0 |
| 429 |
|
DO ii = 1, iim |
| 430 |
|
matricevs(i,k,j-jfiltsv+1) = matricevs(i,k,j-jfiltsv+1) + & |
| 431 |
|
eignfnu(i,ii)*eignft(ii,k) |
| 432 |
|
END DO |
| 433 |
|
END DO |
| 434 |
|
END DO |
| 435 |
|
|
| 436 |
|
END DO |
| 437 |
|
|
| 438 |
|
! ................................................................... |
| 439 |
|
|
| 440 |
|
! ... Calcul de la matrice filtre 'matrinv' pour les champs situes |
| 441 |
|
! sur la grille scalaire , pour le filtre inverse ........ |
| 442 |
|
! ................................................................... |
| 443 |
|
|
| 444 |
|
DO j = 2, jfiltnu |
| 445 |
|
|
| 446 |
|
DO i = 1, iim |
| 447 |
|
coff = coefilu(i,j)/(1.+coefilu(i,j)) |
| 448 |
|
IF (i<modfrstu(j)) coff = 0. |
| 449 |
|
DO k = 1, iim |
| 450 |
|
eignft(i,k) = eignfnv(k,i)*coff |
| 451 |
|
END DO |
| 452 |
|
END DO |
| 453 |
|
DO k = 1, iim |
| 454 |
|
DO i = 1, iim |
| 455 |
|
matrinvn(i,k,j) = 0.0 |
| 456 |
|
DO ii = 1, iim |
| 457 |
|
matrinvn(i,k,j) = matrinvn(i,k,j) + eignfnv(i,ii)*eignft(ii,k) |
| 458 |
|
END DO |
| 459 |
|
END DO |
| 460 |
|
END DO |
| 461 |
|
|
| 462 |
|
END DO |
| 463 |
|
|
| 464 |
|
DO j = jfiltsu, jjm |
| 465 |
|
|
| 466 |
|
DO i = 1, iim |
| 467 |
|
coff = coefilu(i,j)/(1.+coefilu(i,j)) |
| 468 |
|
IF (i<modfrstu(j)) coff = 0. |
| 469 |
|
DO k = 1, iim |
| 470 |
|
eignft(i,k) = eignfnv(k,i)*coff |
| 471 |
|
END DO |
| 472 |
|
END DO |
| 473 |
|
DO k = 1, iim |
| 474 |
|
DO i = 1, iim |
| 475 |
|
matrinvs(i,k,j-jfiltsu+1) = 0.0 |
| 476 |
|
DO ii = 1, iim |
| 477 |
|
matrinvs(i,k,j-jfiltsu+1) = matrinvs(i,k,j-jfiltsu+1) + & |
| 478 |
|
eignfnv(i,ii)*eignft(ii,k) |
| 479 |
|
END DO |
| 480 |
|
END DO |
| 481 |
|
END DO |
| 482 |
|
|
| 483 |
|
END DO |
| 484 |
|
|
| 485 |
|
334 FORMAT (1X,24I3) |
| 486 |
|
755 FORMAT (1X,6F10.3,I3) |
| 487 |
|
|
| 488 |
|
END SUBROUTINE inifilr |
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