7 |
! jfilts index of the first line filtered in SH |
! jfilts index of the first line filtered in SH |
8 |
|
|
9 |
! North: |
! North: |
10 |
|
|
11 |
real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
12 |
! (iim, iim, 2:jfiltnu) |
! (iim, iim, 2:jfiltnu) |
13 |
|
|
14 |
real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
real, allocatable:: matricevn(:, :, :) ! (iim, iim, jfiltnv) |
15 |
|
|
16 |
! South: |
! South: |
17 |
|
|
18 |
real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :) |
real, allocatable:: matriceus(:, :, :), matrinvs(:, :, :) |
19 |
! (iim, iim, jfiltsu:jjm) |
! (iim, iim, jfiltsu:jjm) |
20 |
|
|
27 |
! From filtrez/inifilr.F, version 1.1.1.1 2004/05/19 12:53:09 |
! From filtrez/inifilr.F, version 1.1.1.1 2004/05/19 12:53:09 |
28 |
! H. Upadhyaya, O. Sharma |
! H. Upadhyaya, O. Sharma |
29 |
|
|
30 |
! This routine computes the eigenfunctions of the laplacian on the |
! This routine computes the eigenvectors of the laplacian on the |
31 |
! stretched grid, and the filtering coefficients. The modes are |
! stretched grid, and the filtering coefficients. The modes are |
32 |
! filtered from modfrst to iim. |
! filtered from modfrst to iim. |
33 |
|
|
34 |
USE dimens_m, ONLY : iim, jjm |
USE dimens_m, ONLY : iim, jjm |
35 |
USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
36 |
use inifgn_m, only: inifgn, eignfnu, eignfnv |
use inifgn_m, only: inifgn |
37 |
use jumble, only: new_unit |
use jumble, only: new_unit |
38 |
use nr_util, only: pi |
use nr_util, only: pi |
39 |
|
|
40 |
! Local: |
! Local: |
41 |
REAL dlatu(jjm) |
REAL dlatu(jjm) |
42 |
REAL rlamda(2: iim) |
REAL rlamda(2: iim) |
43 |
real eignvl(iim) ! eigenvalues |
real eignvl(iim) ! eigenvalues sorted in descending order |
44 |
REAL cof |
REAL cof |
45 |
INTEGER i, j, k, kf, unit |
INTEGER i, j, k, unit |
46 |
REAL colat0 |
REAL colat0 ! > 0 |
47 |
REAL eignft(iim, iim), coff |
REAL eignft(iim, iim), coff |
48 |
|
|
49 |
|
real eignfnu(iim, iim), eignfnv(iim, iim) |
50 |
|
! eigenvectors of the discrete laplacian |
51 |
|
|
52 |
! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
53 |
real coefilu(iim, jjm), coefilv(iim, jjm) |
real coefilu(iim, jjm), coefilv(iim, jjm) |
54 |
real coefilu2(iim, jjm), coefilv2(iim, jjm) |
real coefilu2(iim, jjm), coefilv2(iim, jjm) |
55 |
|
|
56 |
integer modfrstu(jjm), modfrstv(jjm) |
! Index of the mode from where modes are filtered: |
57 |
! index of the mode from where modes are filtered |
integer, allocatable:: modfrstnu(:), modfrstsu(:) |
58 |
|
integer, allocatable:: modfrstnv(:), modfrstsv(:) |
59 |
|
|
60 |
!----------------------------------------------------------- |
!----------------------------------------------------------- |
61 |
|
|
62 |
print *, "Call sequence information: inifilr" |
print *, "Call sequence information: inifilr" |
63 |
|
|
64 |
CALL inifgn(eignvl) |
CALL inifgn(eignvl, eignfnu, eignfnv) |
|
|
|
|
call new_unit(unit) |
|
|
open(unit, file = "eignvl.txt", status = "replace", action = "write") |
|
|
write(unit, fmt = *) EIGNVL |
|
|
close(unit) |
|
65 |
|
|
66 |
! compute eigenvalues and eigenfunctions |
! compute eigenvalues and eigenvectors |
67 |
! compute the filtering coefficients for scalar lines and |
! compute the filtering coefficients for scalar lines and |
68 |
! meridional wind v-lines |
! meridional wind v-lines |
69 |
! we filter all those latitude lines where coefil < 1 |
! we filter all those latitude lines where coefil < 1 |
77 |
PRINT *, 'colat0 = ', colat0 |
PRINT *, 'colat0 = ', colat0 |
78 |
|
|
79 |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(abs(eignvl(2: iim))) |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(abs(eignvl(2: iim))) |
|
coefilu = 0. |
|
|
coefilv = 0. |
|
|
coefilu2 = 0. |
|
|
coefilv2 = 0. |
|
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|
|
! Determination de jfiltnu, jfiltnv, jfiltsu, jfiltsv |
|
|
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|
|
DO j = 2, jjm / 2 + 1 |
|
|
IF (cos(rlatu(j)) / colat0 < 1. & |
|
|
.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. & |
|
|
.and. rlamda(iim) * cos(rlatu(jjm - j + 2)) < 1.) & |
|
|
jfiltsu = jjm - j + 2 |
|
|
END DO |
|
|
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|
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DO j = 1, jjm / 2 |
|
|
IF (cos(rlatv(j)) / colat0 < 1. .and. rlamda(iim) * cos(rlatv(j)) < 1.) & |
|
|
jfiltnv = j |
|
|
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|
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IF (cos(rlatv(jjm - j + 1)) / colat0 < 1. .and. rlamda(iim) & |
|
|
* cos(rlatv(jjm - j + 1)) < 1.) jfiltsv = jjm - j + 1 |
|
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END DO |
|
80 |
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|
81 |
IF (jfiltnu <= 0) jfiltnu = 1 |
! Determination de jfiltnu, jfiltsu, jfiltnv, jfiltsv |
|
IF (jfiltnu > jjm / 2 + 1) THEN |
|
|
PRINT *, 'jfiltnu en dehors des valeurs acceptables ', jfiltnu |
|
|
STOP 1 |
|
|
END IF |
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IF (jfiltsu <= 0) jfiltsu = 1 |
|
|
IF (jfiltsu > jjm + 1) THEN |
|
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PRINT *, 'jfiltsu en dehors des valeurs acceptables ', jfiltsu |
|
|
STOP 1 |
|
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END IF |
|
82 |
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|
83 |
IF (jfiltnv <= 0) jfiltnv = 1 |
jfiltnu = (jjm + 1) / 2 |
84 |
IF (jfiltnv > jjm / 2) THEN |
do while (cos(rlatu(jfiltnu)) >= colat0 & |
85 |
PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv |
.or. rlamda(iim) * cos(rlatu(jfiltnu)) >= 1.) |
86 |
|
jfiltnu = jfiltnu - 1 |
87 |
|
end do |
88 |
|
|
89 |
|
jfiltsu = jjm / 2 + 2 |
90 |
|
do while (cos(rlatu(jfiltsu)) >= colat0 & |
91 |
|
.or. rlamda(iim) * cos(rlatu(jfiltsu)) >= 1.) |
92 |
|
jfiltsu = jfiltsu + 1 |
93 |
|
end do |
94 |
|
|
95 |
|
jfiltnv = jjm / 2 |
96 |
|
do while ((cos(rlatv(jfiltnv)) >= colat0 & |
97 |
|
.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) .and. jfiltnv >= 2) |
98 |
|
jfiltnv = jfiltnv - 1 |
99 |
|
end do |
100 |
|
|
101 |
|
if (cos(rlatv(jfiltnv)) >= colat0 & |
102 |
|
.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) then |
103 |
|
! {jfiltnv == 1} |
104 |
|
PRINT *, 'Could not find jfiltnv.' |
105 |
STOP 1 |
STOP 1 |
106 |
END IF |
END IF |
107 |
|
|
108 |
IF (jfiltsv <= 0) jfiltsv = 1 |
jfiltsv = (jjm + 1)/ 2 + 1 |
109 |
IF (jfiltsv > jjm) THEN |
do while ((cos(rlatv(jfiltsv)) >= colat0 & |
110 |
PRINT *, 'jfiltsv en dehors des valeurs acceptables ', jfiltsv |
.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) .and. jfiltsv <= jjm - 1) |
111 |
|
jfiltsv = jfiltsv + 1 |
112 |
|
end do |
113 |
|
|
114 |
|
IF (cos(rlatv(jfiltsv)) >= colat0 & |
115 |
|
.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) THEN |
116 |
|
! {jfiltsv == jjm} |
117 |
|
PRINT *, 'Could not find jfiltsv.' |
118 |
STOP 1 |
STOP 1 |
119 |
END IF |
END IF |
120 |
|
|
121 |
PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu ', jfiltnv, jfiltsv, jfiltnu, & |
PRINT *, 'jfiltnu =', jfiltnu |
122 |
jfiltsu |
PRINT *, 'jfiltsu =', jfiltsu |
123 |
|
PRINT *, 'jfiltnv =', jfiltnv |
124 |
|
PRINT *, 'jfiltsv =', jfiltsv |
125 |
|
|
126 |
! Determination de coefilu, coefilv, n=modfrstu, modfrstv |
! Determination de coefilu, coefilv, modfrst[ns][uv]: |
127 |
|
|
128 |
DO j = 1, jjm |
allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm)) |
129 |
modfrstu(j) = iim |
allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm)) |
130 |
modfrstv(j) = iim |
coefilu = 0. |
131 |
END DO |
coefilv = 0. |
132 |
|
coefilu2 = 0. |
133 |
|
coefilv2 = 0. |
134 |
|
|
135 |
DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
136 |
DO k = 2, iim |
modfrstnu(j) = 2 |
137 |
IF (rlamda(k) * cos(rlatu(j)) < 1.) exit |
do while (rlamda(modfrstnu(j)) * cos(rlatu(j)) >= 1. & |
138 |
end DO |
.and. modfrstnu(j) <= iim - 1) |
139 |
if (k == iim + 1) cycle |
modfrstnu(j) = modfrstnu(j) + 1 |
140 |
modfrstu(j) = k |
end do |
141 |
|
|
142 |
kf = modfrstu(j) |
if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then |
143 |
DO k = kf, iim |
DO k = modfrstnu(j), iim |
144 |
cof = rlamda(k) * cos(rlatu(j)) |
cof = rlamda(k) * cos(rlatu(j)) |
145 |
coefilu(k, j) = cof - 1. |
coefilu(k, j) = cof - 1. |
146 |
coefilu2(k, j) = cof**2 - 1. |
coefilu2(k, j) = cof**2 - 1. |
147 |
end DO |
end DO |
148 |
|
end if |
149 |
END DO |
END DO |
150 |
|
|
151 |
DO j = 1, jfiltnv |
DO j = 1, jfiltnv |
152 |
DO k = 2, iim |
modfrstnv(j) = 2 |
153 |
IF (rlamda(k) * cos(rlatv(j)) < 1.) exit |
do while (rlamda(modfrstnv(j)) * cos(rlatv(j)) >= 1. & |
154 |
end DO |
.and. modfrstnv(j) <= iim - 1) |
155 |
if (k == iim + 1) cycle |
modfrstnv(j) = modfrstnv(j) + 1 |
156 |
modfrstv(j) = k |
end do |
157 |
|
|
158 |
kf = modfrstv(j) |
if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then |
159 |
DO k = kf, iim |
DO k = modfrstnv(j), iim |
160 |
cof = rlamda(k) * cos(rlatv(j)) |
cof = rlamda(k) * cos(rlatv(j)) |
161 |
coefilv(k, j) = cof - 1. |
coefilv(k, j) = cof - 1. |
162 |
coefilv2(k, j) = cof**2 - 1. |
coefilv2(k, j) = cof**2 - 1. |
163 |
end DO |
end DO |
164 |
|
end if |
165 |
end DO |
end DO |
166 |
|
|
167 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
168 |
DO k = 2, iim |
modfrstsu(j) = 2 |
169 |
IF (rlamda(k) * cos(rlatu(j)) < 1.) exit |
do while (rlamda(modfrstsu(j)) * cos(rlatu(j)) >= 1. & |
170 |
end DO |
.and. modfrstsu(j) <= iim - 1) |
171 |
if (k == iim + 1) cycle |
modfrstsu(j) = modfrstsu(j) + 1 |
172 |
modfrstu(j) = k |
end do |
173 |
|
|
174 |
kf = modfrstu(j) |
if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then |
175 |
DO k = kf, iim |
DO k = modfrstsu(j), iim |
176 |
cof = rlamda(k) * cos(rlatu(j)) |
cof = rlamda(k) * cos(rlatu(j)) |
177 |
coefilu(k, j) = cof - 1. |
coefilu(k, j) = cof - 1. |
178 |
coefilu2(k, j) = cof**2 - 1. |
coefilu2(k, j) = cof**2 - 1. |
179 |
end DO |
end DO |
180 |
|
end if |
181 |
end DO |
end DO |
182 |
|
|
183 |
DO j = jfiltsv, jjm |
DO j = jfiltsv, jjm |
184 |
DO k = 2, iim |
modfrstsv(j) = 2 |
185 |
IF (rlamda(k) * cos(rlatv(j)) < 1.) exit |
do while (rlamda(modfrstsv(j)) * cos(rlatv(j)) >= 1. & |
186 |
end DO |
.and. modfrstsv(j) <= iim - 1) |
187 |
if (k == iim + 1) cycle |
modfrstsv(j) = modfrstsv(j) + 1 |
188 |
modfrstv(j) = k |
end do |
189 |
|
|
190 |
kf = modfrstv(j) |
if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then |
191 |
DO k = kf, iim |
DO k = modfrstsv(j), iim |
192 |
cof = rlamda(k) * cos(rlatv(j)) |
cof = rlamda(k) * cos(rlatv(j)) |
193 |
coefilv(k, j) = cof - 1. |
coefilv(k, j) = cof - 1. |
194 |
coefilv2(k, j) = cof**2 - 1. |
coefilv2(k, j) = cof**2 - 1. |
195 |
end DO |
end DO |
196 |
|
end if |
197 |
END DO |
END DO |
198 |
|
|
199 |
IF (jfiltnv>=jjm / 2 .OR. jfiltnu>=jjm / 2) THEN |
call new_unit(unit) |
200 |
IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv |
open(unit, file = "inifilr_out.txt", status = "replace", action = "write") |
201 |
IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu |
write(unit, fmt = *) '"EIGNVL"', eignvl |
202 |
|
write(unit, fmt = *) '"modfrstnu"', modfrstnu |
203 |
PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu', jfiltnv, jfiltsv, jfiltnu, & |
write(unit, fmt = *) '"modfrstsu"', modfrstsu |
204 |
jfiltsu |
write(unit, fmt = *) '"modfrstnv"', modfrstnv |
205 |
END IF |
write(unit, fmt = *) '"modfrstsv"', modfrstsv |
206 |
|
close(unit) |
|
PRINT *, 'Modes premiers v ' |
|
|
PRINT 334, modfrstv |
|
|
PRINT *, 'Modes premiers u ' |
|
|
PRINT 334, modfrstu |
|
207 |
|
|
208 |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
209 |
allocate(matricevn(iim, iim, jfiltnv)) |
allocate(matricevn(iim, iim, jfiltnv)) |
215 |
|
|
216 |
DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
217 |
DO i = 1, iim |
DO i = 1, iim |
218 |
IF (i < modfrstu(j)) then |
IF (i < modfrstnu(j)) then |
219 |
coff = 0. |
coff = 0. |
220 |
else |
else |
221 |
coff = coefilu(i, j) |
coff = coefilu(i, j) |
227 |
|
|
228 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
229 |
DO i = 1, iim |
DO i = 1, iim |
230 |
IF (i < modfrstu(j)) then |
IF (i < modfrstsu(j)) then |
231 |
coff = 0. |
coff = 0. |
232 |
else |
else |
233 |
coff = coefilu(i, j) |
coff = coefilu(i, j) |
242 |
|
|
243 |
DO j = 1, jfiltnv |
DO j = 1, jfiltnv |
244 |
DO i = 1, iim |
DO i = 1, iim |
245 |
IF (i < modfrstv(j)) then |
IF (i < modfrstnv(j)) then |
246 |
coff = 0. |
coff = 0. |
247 |
else |
else |
248 |
coff = coefilv(i, j) |
coff = coefilv(i, j) |
254 |
|
|
255 |
DO j = jfiltsv, jjm |
DO j = jfiltsv, jjm |
256 |
DO i = 1, iim |
DO i = 1, iim |
257 |
IF (i < modfrstv(j)) then |
IF (i < modfrstsv(j)) then |
258 |
coff = 0. |
coff = 0. |
259 |
else |
else |
260 |
coff = coefilv(i, j) |
coff = coefilv(i, j) |
269 |
|
|
270 |
DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
271 |
DO i = 1, iim |
DO i = 1, iim |
272 |
IF (i < modfrstu(j)) then |
IF (i < modfrstnu(j)) then |
273 |
coff = 0. |
coff = 0. |
274 |
else |
else |
275 |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
281 |
|
|
282 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
283 |
DO i = 1, iim |
DO i = 1, iim |
284 |
IF (i < modfrstu(j)) then |
IF (i < modfrstsu(j)) then |
285 |
coff = 0. |
coff = 0. |
286 |
else |
else |
287 |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
291 |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
292 |
END DO |
END DO |
293 |
|
|
|
334 FORMAT (1X, 24I3) |
|
|
|
|
294 |
END SUBROUTINE inifilr |
END SUBROUTINE inifilr |
295 |
|
|
296 |
end module inifilr_m |
end module inifilr_m |