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module inifilr_m |
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|
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IMPLICIT NONE |
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|
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INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv |
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! jfiltn index of the last scalar line filtered in NH |
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! jfilts index of the first line filtered in SH |
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|
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! North: |
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real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
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! (iim, iim, 2:jfiltnu) |
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|
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real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
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|
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! South: |
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real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :) |
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! (iim, iim, jfiltsu:jjm) |
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|
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real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) |
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|
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contains |
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|
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SUBROUTINE inifilr |
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|
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! From filtrez/inifilr.F, version 1.1.1.1 2004/05/19 12:53:09 |
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! H. Upadhyaya, O. Sharma |
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|
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! This routine computes the eigenfunctions of the laplacian on the |
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! stretched grid, and the filtering coefficients. The modes are |
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! filtered from modfrst to iim. |
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|
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USE dimens_m, ONLY : iim, jjm |
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USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
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use inifgn_m, only: inifgn, eignfnu, eignfnv |
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use nr_util, only: pi |
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|
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! Local: |
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REAL dlatu(jjm) |
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REAL rlamda(2: iim) |
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real eignvl(iim) ! eigenvalues |
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REAL lamdamax, cof |
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INTEGER i, j, k, kf |
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REAL dymin, colat0 |
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REAL eignft(iim, iim), coff |
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|
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! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
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real coefilu(iim, jjm), coefilv(iim, jjm) |
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real coefilu2(iim, jjm), coefilv2(iim, jjm) |
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|
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integer modfrstu(jjm), modfrstv(jjm) |
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! index of the mode from where modes are filtered |
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|
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!----------------------------------------------------------- |
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|
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print *, "Call sequence information: inifilr" |
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|
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CALL inifgn(eignvl) |
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|
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PRINT *, 'EIGNVL ' |
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PRINT "(1X, 5E13.6)", eignvl |
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|
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! compute eigenvalues and eigenfunctions |
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! compute the filtering coefficients for scalar lines and |
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! meridional wind v-lines |
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! we filter all those latitude lines where coefil < 1 |
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! NO FILTERING AT POLES |
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! colat0 is to be used when alpha (stretching coefficient) |
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! is set equal to zero for the regular grid case |
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|
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! Calcul de colat0 |
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|
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DO j = 1, jjm |
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dlatu(j) = rlatu(j) - rlatu(j + 1) |
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END DO |
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|
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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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END DO |
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|
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colat0 = min(0.5, dymin / minval(xprimu(:iim))) |
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|
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PRINT *, 'colat0 = ', colat0 |
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|
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lamdamax = iim / (pi * colat0 / grossismx) |
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rlamda = lamdamax / sqrt(abs(eignvl(2: iim))) |
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|
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DO j = 1, jjm |
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DO i = 1, iim |
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coefilu(i, j) = 0. |
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coefilv(i, j) = 0. |
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coefilu2(i, j) = 0. |
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coefilv2(i, j) = 0. |
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end DO |
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END DO |
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|
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! Determination de jfiltnu, jfiltnv, jfiltsu, jfiltsv |
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|
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PRINT *, 'TRUNCATION AT ', iim |
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|
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DO j = 2, jjm / 2 + 1 |
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IF (cos(rlatu(j)) / colat0 < 1. & |
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.and. rlamda(iim) * cos(rlatu(j)) < 1.) jfiltnu = j |
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|
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IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. & |
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.and. rlamda(iim) * cos(rlatu(jjm - j + 2)) < 1.) & |
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jfiltsu = jjm - j + 2 |
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END DO |
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|
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DO j = 1, jjm / 2 |
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IF (cos(rlatv(j)) / colat0 < 1. .and. rlamda(iim) * cos(rlatv(j)) < 1.) & |
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jfiltnv = j |
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|
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IF (cos(rlatv(jjm - j + 1)) / colat0 < 1. .and. rlamda(iim) & |
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* cos(rlatv(jjm - j + 1)) < 1.) jfiltsv = jjm - j + 1 |
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END DO |
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|
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IF (jfiltnu <= 0) jfiltnu = 1 |
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IF (jfiltnu > 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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END IF |
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|
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IF (jfiltsu <= 0) jfiltsu = 1 |
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IF (jfiltsu > 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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END IF |
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|
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IF (jfiltnv <= 0) jfiltnv = 1 |
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IF (jfiltnv > 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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END IF |
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|
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IF (jfiltsv <= 0) jfiltsv = 1 |
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IF (jfiltsv > jjm) THEN |
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PRINT *, 'jfiltsv en dehors des valeurs acceptables ', jfiltsv |
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STOP 1 |
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END IF |
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|
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PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu ', jfiltnv, jfiltsv, jfiltnu, & |
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jfiltsu |
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|
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! Determination de coefilu, coefilv, n=modfrstu, modfrstv |
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|
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DO j = 1, jjm |
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modfrstu(j) = iim |
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modfrstv(j) = iim |
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END DO |
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|
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DO j = 2, jfiltnu |
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DO k = 2, iim |
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IF (rlamda(k) * cos(rlatu(j)) < 1.) exit |
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end DO |
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if (k == iim + 1) cycle |
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modfrstu(j) = k |
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|
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kf = modfrstu(j) |
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DO k = kf, iim |
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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**2 - 1. |
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end DO |
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END DO |
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|
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DO j = 1, jfiltnv |
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DO k = 2, iim |
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IF (rlamda(k) * cos(rlatv(j)) < 1.) exit |
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end DO |
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if (k == iim + 1) cycle |
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modfrstv(j) = k |
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|
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kf = modfrstv(j) |
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DO k = kf, iim |
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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**2 - 1. |
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end DO |
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end DO |
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|
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DO j = jfiltsu, jjm |
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DO k = 2, iim |
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IF (rlamda(k) * cos(rlatu(j)) < 1.) exit |
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end DO |
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if (k == iim + 1) cycle |
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modfrstu(j) = k |
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|
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kf = modfrstu(j) |
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DO k = kf, iim |
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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**2 - 1. |
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end DO |
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end DO |
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|
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DO j = jfiltsv, jjm |
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DO k = 2, iim |
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IF (rlamda(k) * cos(rlatv(j)) < 1.) exit |
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end DO |
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if (k == iim + 1) cycle |
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modfrstv(j) = k |
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|
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kf = modfrstv(j) |
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DO k = kf, iim |
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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**2 - 1. |
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end DO |
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END DO |
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|
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IF (jfiltnv>=jjm / 2 .OR. jfiltnu>=jjm / 2) THEN |
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IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv |
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IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu |
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|
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PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu', jfiltnv, jfiltsv, jfiltnu, & |
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jfiltsu |
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END IF |
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|
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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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|
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allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
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allocate(matricevn(iim, iim, jfiltnv)) |
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allocate(matricevs(iim, iim, jfiltsv:jjm)) |
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allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) |
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|
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! Calcul de la matrice filtre 'matriceu' pour les champs situes |
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! sur la grille scalaire |
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|
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DO j = 2, jfiltnu |
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DO i = 1, iim |
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IF (i < modfrstu(j)) then |
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coff = 0. |
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else |
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coff = coefilu(i, j) |
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end IF |
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eignft(i, :) = eignfnv(:, i) * coff |
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END DO |
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matriceun(:, :, j) = matmul(eignfnv, eignft) |
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END DO |
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|
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DO j = jfiltsu, jjm |
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DO i = 1, iim |
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IF (i < modfrstu(j)) then |
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coff = 0. |
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else |
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coff = coefilu(i, j) |
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end IF |
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eignft(i, :) = eignfnv(:, i) * coff |
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END DO |
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matriceus(:, :, j) = matmul(eignfnv, eignft) |
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END DO |
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|
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! Calcul de la matrice filtre 'matricev' pour les champs situes |
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! sur la grille de V ou de Z |
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|
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DO j = 1, jfiltnv |
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DO i = 1, iim |
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IF (i < modfrstv(j)) then |
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coff = 0. |
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else |
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coff = coefilv(i, j) |
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end IF |
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eignft(i, :) = eignfnu(:, i) * coff |
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END DO |
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matricevn(:, :, j) = matmul(eignfnu, eignft) |
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END DO |
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|
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DO j = jfiltsv, jjm |
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DO i = 1, iim |
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IF (i < modfrstv(j)) then |
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coff = 0. |
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else |
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coff = coefilv(i, j) |
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end IF |
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eignft(i, :) = eignfnu(:, i) * coff |
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END DO |
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matricevs(:, :, j) = matmul(eignfnu, eignft) |
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END DO |
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|
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! Calcul de la matrice filtre 'matrinv' pour les champs situes |
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! sur la grille scalaire , pour le filtre inverse |
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|
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DO j = 2, jfiltnu |
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DO i = 1, iim |
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IF (i < modfrstu(j)) then |
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coff = 0. |
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else |
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coff = coefilu(i, j) / (1. + coefilu(i, j)) |
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end IF |
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eignft(i, :) = eignfnv(:, i) * coff |
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END DO |
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matrinvn(:, :, j) = matmul(eignfnv, eignft) |
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END DO |
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|
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DO j = jfiltsu, jjm |
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DO i = 1, iim |
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IF (i < modfrstu(j)) then |
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coff = 0. |
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else |
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coff = coefilu(i, j) / (1. + coefilu(i, j)) |
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end IF |
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eignft(i, :) = eignfnv(:, i) * coff |
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END DO |
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matrinvs(:, :, j) = matmul(eignfnv, eignft) |
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END DO |
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|
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334 FORMAT (1X, 24I3) |
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|
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END SUBROUTINE inifilr |
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|
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end module inifilr_m |