1 |
module inifilr_m |
2 |
|
3 |
IMPLICIT NONE |
4 |
|
5 |
INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv |
6 |
|
7 |
! North: |
8 |
real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
9 |
! (iim, iim, 2:jfiltnu) |
10 |
|
11 |
real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
12 |
|
13 |
! South: |
14 |
real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :) |
15 |
! (iim, iim, jfiltsu:jjm) |
16 |
|
17 |
real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) |
18 |
|
19 |
contains |
20 |
|
21 |
SUBROUTINE inifilr |
22 |
|
23 |
! From filtrez/inifilr.F, version 1.1.1.1 2004/05/19 12:53:09 |
24 |
! H. Upadhyaya, O. Sharma |
25 |
|
26 |
! This routine computes the eigenfunctions of the laplacian on the |
27 |
! stretched grid, and the filtering coefficients. |
28 |
! We designate: |
29 |
! eignfn eigenfunctions of the discrete laplacian |
30 |
! eigenvl eigenvalues |
31 |
! jfiltn index of the last scalar line filtered in NH |
32 |
! jfilts index of the first line filtered in SH |
33 |
! modfrst index of the mode from where modes are filtered |
34 |
! modemax maximum number of modes (im) |
35 |
! coefil filtering coefficients (lamda_max * cos(rlat) / lamda) |
36 |
! sdd SQRT(dx) |
37 |
|
38 |
! The modes are filtered from modfrst to modemax. |
39 |
|
40 |
USE coefils, ONLY : coefilu, coefilu2, coefilv, coefilv2, eignfnu, & |
41 |
eignfnv, modfrstu, modfrstv |
42 |
USE dimens_m, ONLY : iim, jjm |
43 |
USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
44 |
use inifgn_m, only: inifgn |
45 |
use nr_util, only: pi |
46 |
|
47 |
! Local: |
48 |
REAL dlatu(jjm) |
49 |
REAL rlamda(2: iim), eignvl(iim) |
50 |
|
51 |
REAL lamdamax, cof |
52 |
INTEGER i, j, modemax, imx, k, kf |
53 |
REAL dymin, colat0 |
54 |
REAL eignft(iim, iim), coff |
55 |
|
56 |
!----------------------------------------------------------- |
57 |
|
58 |
print *, "Call sequence information: inifilr" |
59 |
|
60 |
CALL inifgn(eignvl) |
61 |
|
62 |
PRINT *, 'EIGNVL ' |
63 |
PRINT "(1X, 5E13.6)", eignvl |
64 |
|
65 |
! compute eigenvalues and eigenfunctions |
66 |
! compute the filtering coefficients for scalar lines and |
67 |
! meridional wind v-lines |
68 |
! we filter all those latitude lines where coefil < 1 |
69 |
! NO FILTERING AT POLES |
70 |
! colat0 is to be used when alpha (stretching coefficient) |
71 |
! is set equal to zero for the regular grid case |
72 |
|
73 |
! Calcul de colat0 |
74 |
|
75 |
DO j = 1, jjm |
76 |
dlatu(j) = rlatu(j) - rlatu(j+1) |
77 |
END DO |
78 |
|
79 |
dymin = dlatu(1) |
80 |
DO j = 2, jjm |
81 |
dymin = min(dymin, dlatu(j)) |
82 |
END DO |
83 |
|
84 |
colat0 = min(0.5, dymin / minval(xprimu(:iim))) |
85 |
|
86 |
PRINT *, 'colat0 = ', colat0 |
87 |
|
88 |
lamdamax = iim / (pi * colat0 / grossismx) |
89 |
rlamda = lamdamax / sqrt(abs(eignvl(2: iim))) |
90 |
|
91 |
DO j = 1, jjm |
92 |
DO i = 1, iim |
93 |
coefilu(i, j) = 0. |
94 |
coefilv(i, j) = 0. |
95 |
coefilu2(i, j) = 0. |
96 |
coefilv2(i, j) = 0. |
97 |
end DO |
98 |
END DO |
99 |
|
100 |
! Determination de jfiltnu, jfiltnv, jfiltsu, jfiltsv |
101 |
|
102 |
modemax = iim |
103 |
imx = iim |
104 |
|
105 |
PRINT *, 'TRUNCATION AT ', imx |
106 |
|
107 |
DO j = 2, jjm / 2 + 1 |
108 |
IF (cos(rlatu(j)) / colat0 < 1. & |
109 |
.and. rlamda(imx) * cos(rlatu(j)) < 1.) jfiltnu = j |
110 |
|
111 |
IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. & |
112 |
.and. rlamda(imx) * cos(rlatu(jjm - j + 2)) < 1.) & |
113 |
jfiltsu = jjm - j + 2 |
114 |
END DO |
115 |
|
116 |
DO j = 1, jjm/2 |
117 |
cof = cos(rlatv(j))/colat0 |
118 |
IF (cof < 1.) THEN |
119 |
IF (rlamda(imx)*cos(rlatv(j)) < 1.) jfiltnv = j |
120 |
END IF |
121 |
|
122 |
cof = cos(rlatv(jjm-j+1))/colat0 |
123 |
IF (cof < 1.) THEN |
124 |
IF (rlamda(imx)*cos(rlatv(jjm-j+1)) < 1.) jfiltsv = jjm - j + 1 |
125 |
END IF |
126 |
END DO |
127 |
|
128 |
IF (jfiltnu <= 0) jfiltnu = 1 |
129 |
IF (jfiltnu > jjm/2+1) THEN |
130 |
PRINT *, 'jfiltnu en dehors des valeurs acceptables ', jfiltnu |
131 |
STOP 1 |
132 |
END IF |
133 |
|
134 |
IF (jfiltsu <= 0) jfiltsu = 1 |
135 |
IF (jfiltsu > jjm + 1) THEN |
136 |
PRINT *, 'jfiltsu en dehors des valeurs acceptables ', jfiltsu |
137 |
STOP 1 |
138 |
END IF |
139 |
|
140 |
IF (jfiltnv <= 0) jfiltnv = 1 |
141 |
IF (jfiltnv > jjm/2) THEN |
142 |
PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv |
143 |
STOP 1 |
144 |
END IF |
145 |
|
146 |
IF (jfiltsv <= 0) jfiltsv = 1 |
147 |
IF (jfiltsv > jjm) THEN |
148 |
PRINT *, 'jfiltsv en dehors des valeurs acceptables ', jfiltsv |
149 |
STOP 1 |
150 |
END IF |
151 |
|
152 |
PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu ', jfiltnv, jfiltsv, jfiltnu, & |
153 |
jfiltsu |
154 |
|
155 |
! Determination de coefilu, coefilv, n=modfrstu, modfrstv |
156 |
|
157 |
DO j = 1, jjm |
158 |
modfrstu(j) = iim |
159 |
modfrstv(j) = iim |
160 |
END DO |
161 |
|
162 |
DO j = 2, jfiltnu |
163 |
DO k = 2, modemax |
164 |
cof = rlamda(k) * cos(rlatu(j)) |
165 |
IF (cof < 1.) exit |
166 |
end DO |
167 |
if (k == modemax + 1) cycle |
168 |
modfrstu(j) = k |
169 |
|
170 |
kf = modfrstu(j) |
171 |
DO k = kf, modemax |
172 |
cof = rlamda(k)*cos(rlatu(j)) |
173 |
coefilu(k, j) = cof - 1. |
174 |
coefilu2(k, j) = cof*cof - 1. |
175 |
end DO |
176 |
END DO |
177 |
|
178 |
DO j = 1, jfiltnv |
179 |
DO k = 2, modemax |
180 |
cof = rlamda(k)*cos(rlatv(j)) |
181 |
IF (cof < 1.) exit |
182 |
end DO |
183 |
if (k == modemax + 1) cycle |
184 |
modfrstv(j) = k |
185 |
|
186 |
kf = modfrstv(j) |
187 |
DO k = kf, modemax |
188 |
cof = rlamda(k)*cos(rlatv(j)) |
189 |
coefilv(k, j) = cof - 1. |
190 |
coefilv2(k, j) = cof*cof - 1. |
191 |
end DO |
192 |
end DO |
193 |
|
194 |
DO j = jfiltsu, jjm |
195 |
DO k = 2, modemax |
196 |
cof = rlamda(k)*cos(rlatu(j)) |
197 |
IF (cof < 1.) exit |
198 |
end DO |
199 |
if (k == modemax + 1) cycle |
200 |
modfrstu(j) = k |
201 |
|
202 |
kf = modfrstu(j) |
203 |
DO k = kf, modemax |
204 |
cof = rlamda(k)*cos(rlatu(j)) |
205 |
coefilu(k, j) = cof - 1. |
206 |
coefilu2(k, j) = cof*cof - 1. |
207 |
end DO |
208 |
end DO |
209 |
|
210 |
DO j = jfiltsv, jjm |
211 |
DO k = 2, modemax |
212 |
cof = rlamda(k)*cos(rlatv(j)) |
213 |
IF (cof < 1.) exit |
214 |
end DO |
215 |
if (k == modemax + 1) cycle |
216 |
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 |
IF (jfiltnv>=jjm/2 .OR. jfiltnu>=jjm/2) THEN |
227 |
IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv |
228 |
IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu |
229 |
|
230 |
PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu', jfiltnv, jfiltsv, jfiltnu, & |
231 |
jfiltsu |
232 |
END IF |
233 |
|
234 |
PRINT *, 'Modes premiers v ' |
235 |
PRINT 334, modfrstv |
236 |
PRINT *, 'Modes premiers u ' |
237 |
PRINT 334, modfrstu |
238 |
|
239 |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
240 |
allocate(matricevn(iim, iim, jfiltnv)) |
241 |
allocate(matricevs(iim, iim, jfiltsv:jjm)) |
242 |
allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) |
243 |
|
244 |
! Calcul de la matrice filtre 'matriceu' pour les champs situes |
245 |
! sur la grille scalaire |
246 |
|
247 |
DO j = 2, jfiltnu |
248 |
DO i = 1, iim |
249 |
IF (i < modfrstu(j)) then |
250 |
coff = 0. |
251 |
else |
252 |
coff = coefilu(i, j) |
253 |
end IF |
254 |
eignft(i, :) = eignfnv(:, i)*coff |
255 |
END DO |
256 |
matriceun(:, :, j) = matmul(eignfnv, eignft) |
257 |
END DO |
258 |
|
259 |
DO j = jfiltsu, jjm |
260 |
DO i = 1, iim |
261 |
IF (i < modfrstu(j)) then |
262 |
coff = 0. |
263 |
else |
264 |
coff = coefilu(i, j) |
265 |
end IF |
266 |
eignft(i, :) = eignfnv(:, i) * coff |
267 |
END DO |
268 |
matriceus(:, :, j) = matmul(eignfnv, eignft) |
269 |
END DO |
270 |
|
271 |
! Calcul de la matrice filtre 'matricev' pour les champs situes |
272 |
! sur la grille de V ou de Z |
273 |
|
274 |
DO j = 1, jfiltnv |
275 |
DO i = 1, iim |
276 |
IF (i < modfrstv(j)) then |
277 |
coff = 0. |
278 |
else |
279 |
coff = coefilv(i, j) |
280 |
end IF |
281 |
eignft(i, :) = eignfnu(:, i)*coff |
282 |
END DO |
283 |
matricevn(:, :, j) = matmul(eignfnu, eignft) |
284 |
END DO |
285 |
|
286 |
DO j = jfiltsv, jjm |
287 |
DO i = 1, iim |
288 |
IF (i < modfrstv(j)) then |
289 |
coff = 0. |
290 |
else |
291 |
coff = coefilv(i, j) |
292 |
end IF |
293 |
eignft(i, :) = eignfnu(:, i)*coff |
294 |
END DO |
295 |
matricevs(:, :, j) = matmul(eignfnu, eignft) |
296 |
END DO |
297 |
|
298 |
! Calcul de la matrice filtre 'matrinv' pour les champs situes |
299 |
! sur la grille scalaire , pour le filtre inverse |
300 |
|
301 |
DO j = 2, jfiltnu |
302 |
DO i = 1, iim |
303 |
IF (i < modfrstu(j)) then |
304 |
coff = 0. |
305 |
else |
306 |
coff = coefilu(i, j)/(1.+coefilu(i, j)) |
307 |
end IF |
308 |
eignft(i, :) = eignfnv(:, i)*coff |
309 |
END DO |
310 |
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
311 |
END DO |
312 |
|
313 |
DO j = jfiltsu, jjm |
314 |
DO i = 1, iim |
315 |
IF (i < modfrstu(j)) then |
316 |
coff = 0. |
317 |
else |
318 |
coff = coefilu(i, j)/(1.+coefilu(i, j)) |
319 |
end IF |
320 |
eignft(i, :) = eignfnv(:, i)*coff |
321 |
END DO |
322 |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
323 |
END DO |
324 |
|
325 |
334 FORMAT (1X, 24I3) |
326 |
|
327 |
END SUBROUTINE inifilr |
328 |
|
329 |
end module inifilr_m |