1 |
module inifilr_m |
2 |
|
3 |
IMPLICIT NONE |
4 |
|
5 |
INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv |
6 |
! jfiltn index of the last scalar line filtered in NH |
7 |
! jfilts index of the first line filtered in SH |
8 |
|
9 |
! North: |
10 |
real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
11 |
! (iim, iim, 2:jfiltnu) |
12 |
|
13 |
real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
14 |
|
15 |
! South: |
16 |
real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :) |
17 |
! (iim, iim, jfiltsu:jjm) |
18 |
|
19 |
real, allocatable:: matricevs(:, :, :) ! (iim, iim, jfiltsv:jjm) |
20 |
|
21 |
contains |
22 |
|
23 |
SUBROUTINE inifilr |
24 |
|
25 |
! From filtrez/inifilr.F, version 1.1.1.1 2004/05/19 12:53:09 |
26 |
! H. Upadhyaya, O. Sharma |
27 |
|
28 |
! This routine computes the eigenfunctions of the laplacian on the |
29 |
! stretched grid, and the filtering coefficients. The modes are |
30 |
! filtered from modfrst to iim. |
31 |
|
32 |
USE dimens_m, ONLY : iim, jjm |
33 |
USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
34 |
use inifgn_m, only: inifgn |
35 |
use jumble, only: new_unit |
36 |
use nr_util, only: pi |
37 |
|
38 |
! Local: |
39 |
REAL dlatu(jjm) |
40 |
REAL rlamda(2: iim) |
41 |
real eignvl(iim) ! eigenvalues sorted in descending order |
42 |
REAL cof |
43 |
INTEGER i, j, k, unit |
44 |
REAL colat0 ! > 0 |
45 |
REAL eignft(iim, iim), coff |
46 |
|
47 |
real eignfnu(iim, iim), eignfnv(iim, iim) |
48 |
! eigenfunctions of the discrete laplacian |
49 |
|
50 |
! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
51 |
real coefilu(iim, jjm), coefilv(iim, jjm) |
52 |
real coefilu2(iim, jjm), coefilv2(iim, jjm) |
53 |
|
54 |
! Index of the mode from where modes are filtered: |
55 |
integer, allocatable:: modfrstnu(:), modfrstsu(:) |
56 |
integer, allocatable:: modfrstnv(:), modfrstsv(:) |
57 |
|
58 |
!----------------------------------------------------------- |
59 |
|
60 |
print *, "Call sequence information: inifilr" |
61 |
|
62 |
CALL inifgn(eignvl, eignfnu, eignfnv) |
63 |
|
64 |
! compute eigenvalues and eigenfunctions |
65 |
! compute the filtering coefficients for scalar lines and |
66 |
! meridional wind v-lines |
67 |
! we filter all those latitude lines where coefil < 1 |
68 |
! NO FILTERING AT POLES |
69 |
! colat0 is to be used when alpha (stretching coefficient) |
70 |
! is set equal to zero for the regular grid case |
71 |
|
72 |
! Calcul de colat0 |
73 |
forall (j = 1:jjm) dlatu(j) = rlatu(j) - rlatu(j + 1) |
74 |
colat0 = min(0.5, minval(dlatu) / minval(xprimu(:iim))) |
75 |
PRINT *, 'colat0 = ', colat0 |
76 |
|
77 |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(abs(eignvl(2: iim))) |
78 |
|
79 |
! Determination de jfiltnu, jfiltsu, jfiltnv, jfiltsv |
80 |
|
81 |
jfiltnu = (jjm + 1) / 2 |
82 |
do while (cos(rlatu(jfiltnu)) >= colat0 & |
83 |
.or. rlamda(iim) * cos(rlatu(jfiltnu)) >= 1.) |
84 |
jfiltnu = jfiltnu - 1 |
85 |
end do |
86 |
|
87 |
jfiltsu = jjm / 2 + 2 |
88 |
do while (cos(rlatu(jfiltsu)) >= colat0 & |
89 |
.or. rlamda(iim) * cos(rlatu(jfiltsu)) >= 1.) |
90 |
jfiltsu = jfiltsu + 1 |
91 |
end do |
92 |
|
93 |
jfiltnv = jjm / 2 |
94 |
do while ((cos(rlatv(jfiltnv)) >= colat0 & |
95 |
.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) .and. jfiltnv >= 2) |
96 |
jfiltnv = jfiltnv - 1 |
97 |
end do |
98 |
|
99 |
if (cos(rlatv(jfiltnv)) >= colat0 & |
100 |
.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) then |
101 |
! {jfiltnv == 1} |
102 |
PRINT *, 'Could not find jfiltnv.' |
103 |
STOP 1 |
104 |
END IF |
105 |
|
106 |
jfiltsv = (jjm + 1)/ 2 + 1 |
107 |
do while ((cos(rlatv(jfiltsv)) >= colat0 & |
108 |
.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) .and. jfiltsv <= jjm - 1) |
109 |
jfiltsv = jfiltsv + 1 |
110 |
end do |
111 |
|
112 |
IF (cos(rlatv(jfiltsv)) >= colat0 & |
113 |
.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) THEN |
114 |
! {jfiltsv == jjm} |
115 |
PRINT *, 'Could not find jfiltsv.' |
116 |
STOP 1 |
117 |
END IF |
118 |
|
119 |
PRINT *, 'jfiltnu =', jfiltnu |
120 |
PRINT *, 'jfiltsu =', jfiltsu |
121 |
PRINT *, 'jfiltnv =', jfiltnv |
122 |
PRINT *, 'jfiltsv =', jfiltsv |
123 |
|
124 |
! Determination de coefilu, coefilv, modfrst[ns][uv]: |
125 |
|
126 |
allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm)) |
127 |
allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm)) |
128 |
coefilu = 0. |
129 |
coefilv = 0. |
130 |
coefilu2 = 0. |
131 |
coefilv2 = 0. |
132 |
|
133 |
DO j = 2, jfiltnu |
134 |
modfrstnu(j) = 2 |
135 |
do while (rlamda(modfrstnu(j)) * cos(rlatu(j)) >= 1. & |
136 |
.and. modfrstnu(j) <= iim - 1) |
137 |
modfrstnu(j) = modfrstnu(j) + 1 |
138 |
end do |
139 |
|
140 |
if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then |
141 |
DO k = modfrstnu(j), iim |
142 |
cof = rlamda(k) * cos(rlatu(j)) |
143 |
coefilu(k, j) = cof - 1. |
144 |
coefilu2(k, j) = cof**2 - 1. |
145 |
end DO |
146 |
end if |
147 |
END DO |
148 |
|
149 |
DO j = 1, jfiltnv |
150 |
modfrstnv(j) = 2 |
151 |
do while (rlamda(modfrstnv(j)) * cos(rlatv(j)) >= 1. & |
152 |
.and. modfrstnv(j) <= iim - 1) |
153 |
modfrstnv(j) = modfrstnv(j) + 1 |
154 |
end do |
155 |
|
156 |
if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then |
157 |
DO k = modfrstnv(j), iim |
158 |
cof = rlamda(k) * cos(rlatv(j)) |
159 |
coefilv(k, j) = cof - 1. |
160 |
coefilv2(k, j) = cof**2 - 1. |
161 |
end DO |
162 |
end if |
163 |
end DO |
164 |
|
165 |
DO j = jfiltsu, jjm |
166 |
modfrstsu(j) = 2 |
167 |
do while (rlamda(modfrstsu(j)) * cos(rlatu(j)) >= 1. & |
168 |
.and. modfrstsu(j) <= iim - 1) |
169 |
modfrstsu(j) = modfrstsu(j) + 1 |
170 |
end do |
171 |
|
172 |
if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then |
173 |
DO k = modfrstsu(j), iim |
174 |
cof = rlamda(k) * cos(rlatu(j)) |
175 |
coefilu(k, j) = cof - 1. |
176 |
coefilu2(k, j) = cof**2 - 1. |
177 |
end DO |
178 |
end if |
179 |
end DO |
180 |
|
181 |
DO j = jfiltsv, jjm |
182 |
modfrstsv(j) = 2 |
183 |
do while (rlamda(modfrstsv(j)) * cos(rlatv(j)) >= 1. & |
184 |
.and. modfrstsv(j) <= iim - 1) |
185 |
modfrstsv(j) = modfrstsv(j) + 1 |
186 |
end do |
187 |
|
188 |
if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then |
189 |
DO k = modfrstsv(j), iim |
190 |
cof = rlamda(k) * cos(rlatv(j)) |
191 |
coefilv(k, j) = cof - 1. |
192 |
coefilv2(k, j) = cof**2 - 1. |
193 |
end DO |
194 |
end if |
195 |
END DO |
196 |
|
197 |
call new_unit(unit) |
198 |
open(unit, file = "inifilr_out.txt", status = "replace", action = "write") |
199 |
write(unit, fmt = *) '"EIGNVL"', eignvl |
200 |
write(unit, fmt = *) '"modfrstnu"', modfrstnu |
201 |
write(unit, fmt = *) '"modfrstsu"', modfrstsu |
202 |
write(unit, fmt = *) '"modfrstnv"', modfrstnv |
203 |
write(unit, fmt = *) '"modfrstsv"', modfrstsv |
204 |
close(unit) |
205 |
|
206 |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
207 |
allocate(matricevn(iim, iim, jfiltnv)) |
208 |
allocate(matricevs(iim, iim, jfiltsv:jjm)) |
209 |
allocate(matriceus(iim, iim, jfiltsu:jjm), matrinvs(iim, iim, jfiltsu:jjm)) |
210 |
|
211 |
! Calcul de la matrice filtre 'matriceu' pour les champs situes |
212 |
! sur la grille scalaire |
213 |
|
214 |
DO j = 2, jfiltnu |
215 |
DO i = 1, iim |
216 |
IF (i < modfrstnu(j)) then |
217 |
coff = 0. |
218 |
else |
219 |
coff = coefilu(i, j) |
220 |
end IF |
221 |
eignft(i, :) = eignfnv(:, i) * coff |
222 |
END DO |
223 |
matriceun(:, :, j) = matmul(eignfnv, eignft) |
224 |
END DO |
225 |
|
226 |
DO j = jfiltsu, jjm |
227 |
DO i = 1, iim |
228 |
IF (i < modfrstsu(j)) then |
229 |
coff = 0. |
230 |
else |
231 |
coff = coefilu(i, j) |
232 |
end IF |
233 |
eignft(i, :) = eignfnv(:, i) * coff |
234 |
END DO |
235 |
matriceus(:, :, j) = matmul(eignfnv, eignft) |
236 |
END DO |
237 |
|
238 |
! Calcul de la matrice filtre 'matricev' pour les champs situes |
239 |
! sur la grille de V ou de Z |
240 |
|
241 |
DO j = 1, jfiltnv |
242 |
DO i = 1, iim |
243 |
IF (i < modfrstnv(j)) then |
244 |
coff = 0. |
245 |
else |
246 |
coff = coefilv(i, j) |
247 |
end IF |
248 |
eignft(i, :) = eignfnu(:, i) * coff |
249 |
END DO |
250 |
matricevn(:, :, j) = matmul(eignfnu, eignft) |
251 |
END DO |
252 |
|
253 |
DO j = jfiltsv, jjm |
254 |
DO i = 1, iim |
255 |
IF (i < modfrstsv(j)) then |
256 |
coff = 0. |
257 |
else |
258 |
coff = coefilv(i, j) |
259 |
end IF |
260 |
eignft(i, :) = eignfnu(:, i) * coff |
261 |
END DO |
262 |
matricevs(:, :, j) = matmul(eignfnu, eignft) |
263 |
END DO |
264 |
|
265 |
! Calcul de la matrice filtre 'matrinv' pour les champs situes |
266 |
! sur la grille scalaire , pour le filtre inverse |
267 |
|
268 |
DO j = 2, jfiltnu |
269 |
DO i = 1, iim |
270 |
IF (i < modfrstnu(j)) then |
271 |
coff = 0. |
272 |
else |
273 |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
274 |
end IF |
275 |
eignft(i, :) = eignfnv(:, i) * coff |
276 |
END DO |
277 |
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
278 |
END DO |
279 |
|
280 |
DO j = jfiltsu, jjm |
281 |
DO i = 1, iim |
282 |
IF (i < modfrstsu(j)) then |
283 |
coff = 0. |
284 |
else |
285 |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
286 |
end IF |
287 |
eignft(i, :) = eignfnv(:, i) * coff |
288 |
END DO |
289 |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
290 |
END DO |
291 |
|
292 |
END SUBROUTINE inifilr |
293 |
|
294 |
end module inifilr_m |