7 |
INTEGER jfiltnu, jfiltnv |
INTEGER jfiltnu, jfiltnv |
8 |
! index of the last scalar line filtered in northern hemisphere |
! index of the last scalar line filtered in northern hemisphere |
9 |
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10 |
real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
real, allocatable:: matriceun(:, :, :) ! (iim, iim, 2:jfiltnu) |
11 |
! (iim, iim, 2:jfiltnu) |
! matrice filtre pour les champs situes sur la grille scalaire |
12 |
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13 |
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real, allocatable:: matrinvn(:, :, :) ! (iim, iim, 2:jfiltnu) |
14 |
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! matrice filtre pour les champs situes sur la grille scalaire, pour |
15 |
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! le filtre inverse |
16 |
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17 |
real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
18 |
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! matrice filtre pour les champs situes sur la grille de V ou de Z |
19 |
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20 |
! South: |
! South: |
21 |
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22 |
integer jfiltsu, jfiltsv |
integer jfiltsu, jfiltsv |
23 |
! index of the first line filtered in southern hemisphere |
! index of the first line filtered in southern hemisphere |
24 |
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25 |
real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :) |
real, allocatable:: matriceus(:, :, :) ! (iim, iim, jfiltsu:jjm) |
26 |
! (iim, iim, jfiltsu:jjm) |
! matrice filtre pour les champs situes sur la grille scalaire |
27 |
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28 |
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real, allocatable:: matrinvs(:, :, :) ! (iim, iim, jfiltsu:jjm) |
29 |
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! matrice filtre pour les champs situes sur la grille scalaire, pour |
30 |
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! le filtre inverse |
31 |
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32 |
real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) |
real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) |
33 |
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! matrice filtre pour les champs situes sur la grille de V ou de Z |
34 |
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35 |
contains |
contains |
36 |
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55 |
! Local: |
! Local: |
56 |
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57 |
REAL dlatu(jjm) |
REAL dlatu(jjm) |
58 |
REAL rlamda(2: iim) |
REAL rlamda(2:iim) |
59 |
real eignvl(iim) ! eigenvalues sorted in descending order (<= 0) |
real eignvl(iim) ! eigenvalues sorted in descending order (<= 0) |
60 |
INTEGER i, j, unit |
INTEGER i, j, unit |
61 |
REAL colat0 ! > 0 |
REAL colat0 ! > 0 |
65 |
! eigenvectors of the discrete second derivative with respect to longitude |
! eigenvectors of the discrete second derivative with respect to longitude |
66 |
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67 |
! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
68 |
real, allocatable:: coefilnu(:, :) ! (iim, 2:jfiltnu) |
real coefil(iim) |
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real, allocatable:: coefilsu(:, :) ! (iim, jfiltsu:jjm) |
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real, allocatable:: coefilnv(:, :) ! (iim, jfiltnv) |
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real, allocatable:: coefilsv(:, :) ! (iim, jfiltsv:jjm) |
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69 |
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70 |
! Index of the mode from where modes are filtered: |
! Index of the mode from where modes are filtered: |
71 |
integer, allocatable:: modfrstnu(:) ! (2:jfiltnu) |
integer, allocatable:: modfrstnu(:) ! (2:jfiltnu) |
86 |
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87 |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(- eignvl(2: iim)) |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(- eignvl(2: iim)) |
88 |
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89 |
! Determination de jfiltnu, jfiltsu, jfiltnv, jfiltsv |
! D\'etermination de jfilt[ns][uv] : |
90 |
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91 |
jfiltnu = (jjm + 1) / 2 |
jfiltnu = (jjm + 1) / 2 |
92 |
do while (cos(rlatu(jfiltnu)) >= colat0 & |
do while (cos(rlatu(jfiltnu)) >= colat0 & |
131 |
PRINT *, 'jfiltnv =', jfiltnv |
PRINT *, 'jfiltnv =', jfiltnv |
132 |
PRINT *, 'jfiltsv =', jfiltsv |
PRINT *, 'jfiltsv =', jfiltsv |
133 |
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134 |
! D\'etermination de coefil[ns][uv], modfrst[ns][uv]: |
! D\'etermination de modfrst[ns][uv] : |
135 |
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136 |
allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm)) |
allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm)) |
137 |
allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm)) |
allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm)) |
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allocate(coefilnu(iim, 2:jfiltnu), coefilsu(iim, jfiltsu:jjm)) |
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allocate(coefilnv(iim, jfiltnv), coefilsv(iim, jfiltsv:jjm)) |
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coefilnu = 0. |
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coefilnv = 0. |
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coefilsu = 0. |
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coefilsv = 0. |
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138 |
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139 |
DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
140 |
modfrstnu(j) = 2 |
modfrstnu(j) = 2 |
142 |
.and. modfrstnu(j) <= iim - 1) |
.and. modfrstnu(j) <= iim - 1) |
143 |
modfrstnu(j) = modfrstnu(j) + 1 |
modfrstnu(j) = modfrstnu(j) + 1 |
144 |
end do |
end do |
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if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then |
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DO i = modfrstnu(j), iim |
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coefilnu(i, j) = rlamda(i) * cos(rlatu(j)) - 1. |
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end DO |
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end if |
|
145 |
END DO |
END DO |
146 |
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147 |
DO j = 1, jfiltnv |
DO j = 1, jfiltnv |
150 |
.and. modfrstnv(j) <= iim - 1) |
.and. modfrstnv(j) <= iim - 1) |
151 |
modfrstnv(j) = modfrstnv(j) + 1 |
modfrstnv(j) = modfrstnv(j) + 1 |
152 |
end do |
end do |
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if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then |
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DO i = modfrstnv(j), iim |
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coefilnv(i, j) = rlamda(i) * cos(rlatv(j)) - 1. |
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end DO |
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end if |
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153 |
end DO |
end DO |
154 |
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155 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
158 |
.and. modfrstsu(j) <= iim - 1) |
.and. modfrstsu(j) <= iim - 1) |
159 |
modfrstsu(j) = modfrstsu(j) + 1 |
modfrstsu(j) = modfrstsu(j) + 1 |
160 |
end do |
end do |
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if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then |
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DO i = modfrstsu(j), iim |
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coefilsu(i, j) = rlamda(i) * cos(rlatu(j)) - 1. |
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end DO |
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end if |
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161 |
end DO |
end DO |
162 |
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163 |
DO j = jfiltsv, jjm |
DO j = jfiltsv, jjm |
166 |
.and. modfrstsv(j) <= iim - 1) |
.and. modfrstsv(j) <= iim - 1) |
167 |
modfrstsv(j) = modfrstsv(j) + 1 |
modfrstsv(j) = modfrstsv(j) + 1 |
168 |
end do |
end do |
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if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then |
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DO i = modfrstsv(j), iim |
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coefilsv(i, j) = rlamda(i) * cos(rlatv(j)) - 1. |
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end DO |
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end if |
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169 |
END DO |
END DO |
170 |
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171 |
call new_unit(unit) |
call new_unit(unit) |
172 |
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173 |
open(unit, file = "inifilr_out.txt", status = "replace", action = "write") |
open(unit, file = "inifilr_out.txt", status = "replace", action = "write") |
174 |
write(unit, fmt = *) '"EIGNVL"', eignvl |
write(unit, fmt = *) '"EIGNVL"', eignvl |
175 |
write(unit, fmt = *) '"modfrstnu"', modfrstnu |
close(unit) |
176 |
write(unit, fmt = *) '"modfrstsu"', modfrstsu |
|
177 |
write(unit, fmt = *) '"modfrstnv"', modfrstnv |
open(unit, file = "modfrstnu.csv", status = "replace", action = "write") |
178 |
write(unit, fmt = *) '"modfrstsv"', modfrstsv |
write(unit, fmt = *) '"rlatu (degrees north)" modfrstnu ' & |
179 |
|
// '"rlamda(modfrstnu) * cos(rlatu) < 1"' |
180 |
|
DO j = 2, jfiltnu |
181 |
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write(unit, fmt = *) rlatu(j) / pi * 180., modfrstnu(j), & |
182 |
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rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1 |
183 |
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end DO |
184 |
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close(unit) |
185 |
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186 |
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open(unit, file = "modfrstnv.csv", status = "replace", action = "write") |
187 |
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write(unit, fmt = *) '"rlatv (degrees north)" modfrstnv ' & |
188 |
|
// '"rlamda(modfrstnv) * cos(rlatv) < 1"' |
189 |
|
DO j = 1, jfiltnv |
190 |
|
write(unit, fmt = *) rlatv(j) / pi * 180., modfrstnv(j), & |
191 |
|
rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1 |
192 |
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end DO |
193 |
|
close(unit) |
194 |
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195 |
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open(unit, file = "modfrstsu.csv", status = "replace", action = "write") |
196 |
|
write(unit, fmt = *) '"rlatu (degrees north)" modfrstsu ' & |
197 |
|
// '"rlamda(modfrstsu) * cos(rlatu) < 1"' |
198 |
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DO j = jfiltsu, jjm |
199 |
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write(unit, fmt = *) rlatu(j) / pi * 180., modfrstsu(j), & |
200 |
|
rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1 |
201 |
|
end DO |
202 |
|
close(unit) |
203 |
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204 |
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open(unit, file = "modfrstsv.csv", status = "replace", action = "write") |
205 |
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write(unit, fmt = *) '"rlatv (degrees north)" modfrstsv ' & |
206 |
|
// '"rlamda(modfrstsv) * cos(rlatv) < 1"' |
207 |
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DO j = jfiltsv, jjm |
208 |
|
write(unit, fmt = *) rlatv(j) / pi * 180., modfrstsv(j), & |
209 |
|
rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1 |
210 |
|
end DO |
211 |
close(unit) |
close(unit) |
212 |
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|
213 |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
215 |
allocate(matricevs(iim, iim, jfiltsv:jjm)) |
allocate(matricevs(iim, iim, jfiltsv:jjm)) |
216 |
allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) |
allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) |
217 |
|
|
218 |
! Calcul de la matrice filtre 'matriceu' pour les champs situes |
! Calcul de matriceu et matrinv |
|
! sur la grille scalaire |
|
219 |
|
|
220 |
DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
221 |
eignft(:modfrstnu(j) - 1, :) = 0. |
if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then |
222 |
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) & |
DO i = modfrstnu(j), iim |
223 |
* coefilnu(i, j) |
coefil(i) = rlamda(i) * cos(rlatu(j)) - 1. |
224 |
matriceun(:, :, j) = matmul(eignfnv, eignft) |
end DO |
225 |
|
|
226 |
|
eignft(:modfrstnu(j) - 1, :) = 0. |
227 |
|
|
228 |
|
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) * coefil(i) |
229 |
|
matriceun(:, :, j) = matmul(eignfnv, eignft) |
230 |
|
|
231 |
|
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) & |
232 |
|
* coefil(i) / (1. + coefil(i)) |
233 |
|
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
234 |
|
else |
235 |
|
matriceun(:, :, j) = 0. |
236 |
|
matrinvn(:, :, j) = 0. |
237 |
|
end if |
238 |
END DO |
END DO |
239 |
|
|
240 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
241 |
eignft(:modfrstsu(j) - 1, :) = 0. |
if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then |
242 |
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) & |
DO i = modfrstsu(j), iim |
243 |
* coefilsu(i, j) |
coefil(i) = rlamda(i) * cos(rlatu(j)) - 1. |
244 |
matriceus(:, :, j) = matmul(eignfnv, eignft) |
end DO |
|
END DO |
|
245 |
|
|
246 |
! Calcul de la matrice filtre 'matricev' pour les champs situes |
eignft(:modfrstsu(j) - 1, :) = 0. |
|
! sur la grille de V ou de Z |
|
247 |
|
|
248 |
DO j = 1, jfiltnv |
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) * coefil(i) |
249 |
eignft(:modfrstnv(j) - 1, :) = 0. |
matriceus(:, :, j) = matmul(eignfnv, eignft) |
|
forall (i = modfrstnv(j): iim) eignft(i, :) = eignfnu(:, i) & |
|
|
* coefilnv(i, j) |
|
|
matricevn(:, :, j) = matmul(eignfnu, eignft) |
|
|
END DO |
|
250 |
|
|
251 |
DO j = jfiltsv, jjm |
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) & |
252 |
eignft(:modfrstsv(j) - 1, :) = 0. |
* coefil(i) / (1. + coefil(i)) |
253 |
forall (i = modfrstsv(j):iim) eignft(i, :) = eignfnu(:, i) & |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
254 |
* coefilsv(i, j) |
else |
255 |
matricevs(:, :, j) = matmul(eignfnu, eignft) |
matriceus(:, :, j) = 0. |
256 |
|
matrinvs(:, :, j) = 0. |
257 |
|
end if |
258 |
END DO |
END DO |
259 |
|
|
260 |
! Calcul de la matrice filtre 'matrinv' pour les champs situes |
! Calcul de matricev |
|
! sur la grille scalaire , pour le filtre inverse |
|
261 |
|
|
262 |
DO j = 2, jfiltnu |
DO j = 1, jfiltnv |
263 |
eignft(:modfrstnu(j) - 1, :) = 0. |
if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then |
264 |
forall (i = modfrstnu(j):iim) eignft(i, :) = eignfnv(:, i) & |
DO i = modfrstnv(j), iim |
265 |
* coefilnu(i, j) / (1. + coefilnu(i, j)) |
coefil(i) = rlamda(i) * cos(rlatv(j)) - 1. |
266 |
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
end DO |
267 |
|
|
268 |
|
eignft(:modfrstnv(j) - 1, :) = 0. |
269 |
|
forall (i = modfrstnv(j):iim) eignft(i, :) = eignfnu(:, i) * coefil(i) |
270 |
|
matricevn(:, :, j) = matmul(eignfnu, eignft) |
271 |
|
else |
272 |
|
matricevn(:, :, j) = 0. |
273 |
|
end if |
274 |
END DO |
END DO |
275 |
|
|
276 |
DO j = jfiltsu, jjm |
DO j = jfiltsv, jjm |
277 |
eignft(:modfrstsu(j) - 1, :) = 0. |
if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then |
278 |
forall (i = modfrstsu(j):iim) eignft(i, :) = eignfnv(:, i) & |
DO i = modfrstsv(j), iim |
279 |
* coefilsu(i, j) / (1. + coefilsu(i, j)) |
coefil(i) = rlamda(i) * cos(rlatv(j)) - 1. |
280 |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
end DO |
281 |
|
|
282 |
|
eignft(:modfrstsv(j) - 1, :) = 0. |
283 |
|
forall (i = modfrstsv(j):iim) eignft(i, :) = eignfnu(:, i) * coefil(i) |
284 |
|
matricevs(:, :, j) = matmul(eignfnu, eignft) |
285 |
|
else |
286 |
|
matricevs(:, :, j) = 0. |
287 |
|
end if |
288 |
END DO |
END DO |
289 |
|
|
290 |
END SUBROUTINE inifilr |
END SUBROUTINE inifilr |