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