3 |
IMPLICIT NONE |
IMPLICIT NONE |
4 |
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5 |
INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv |
INTEGER jfiltnu, jfiltsu, jfiltnv, jfiltsv |
6 |
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! jfiltn index of the last scalar line filtered in NH |
7 |
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! jfilts index of the first line filtered in SH |
8 |
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9 |
! North: |
! North: |
10 |
real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
real, allocatable:: matriceun(:, :, :), matrinvn(:, :, :) |
26 |
! H. Upadhyaya, O. Sharma |
! H. Upadhyaya, O. Sharma |
27 |
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28 |
! This routine computes the eigenfunctions of the laplacian on the |
! This routine computes the eigenfunctions of the laplacian on the |
29 |
! stretched grid, and the filtering coefficients. |
! stretched grid, and the filtering coefficients. The modes are |
30 |
! We designate: |
! filtered from modfrst to iim. |
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! eignfn eigenfunctions of the discrete laplacian |
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! eigenvl eigenvalues |
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! jfiltn index of the last scalar line filtered in NH |
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! jfilts index of the first line filtered in SH |
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! modfrst index of the mode from where modes are filtered |
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! modemax maximum number of modes (im) |
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! coefil filtering coefficients (lamda_max * cos(rlat) / lamda) |
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! sdd SQRT(dx) |
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31 |
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! The modes are filtered from modfrst to modemax. |
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USE coefils, ONLY : coefilu, coefilu2, coefilv, coefilv2, eignfnu, & |
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eignfnv, modfrstu, modfrstv |
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32 |
USE dimens_m, ONLY : iim, jjm |
USE dimens_m, ONLY : iim, jjm |
33 |
USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
USE dynetat0_m, ONLY : rlatu, rlatv, xprimu, grossismx |
34 |
use inifgn_m, only: inifgn |
use inifgn_m, only: inifgn, eignfnu, eignfnv |
35 |
use nr_util, only: pi |
use nr_util, only: pi |
36 |
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37 |
! Local: |
! Local: |
38 |
REAL dlatu(jjm) |
REAL dlatu(jjm) |
39 |
REAL rlamda(2: iim), eignvl(iim) |
REAL rlamda(2: iim) |
40 |
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real eignvl(iim) ! eigenvalues |
41 |
REAL lamdamax, cof |
REAL lamdamax, cof |
42 |
INTEGER i, j, modemax, imx, k, kf |
INTEGER i, j, k, kf |
43 |
REAL dymin, colat0 |
REAL dymin, colat0 |
44 |
REAL eignft(iim, iim), coff |
REAL eignft(iim, iim), coff |
45 |
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46 |
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! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
47 |
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real coefilu(iim, jjm), coefilv(iim, jjm) |
48 |
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real coefilu2(iim, jjm), coefilv2(iim, jjm) |
49 |
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50 |
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integer modfrstu(jjm), modfrstv(jjm) |
51 |
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! index of the mode from where modes are filtered |
52 |
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53 |
!----------------------------------------------------------- |
!----------------------------------------------------------- |
54 |
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55 |
print *, "Call sequence information: inifilr" |
print *, "Call sequence information: inifilr" |
70 |
! Calcul de colat0 |
! Calcul de colat0 |
71 |
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72 |
DO j = 1, jjm |
DO j = 1, jjm |
73 |
dlatu(j) = rlatu(j) - rlatu(j+1) |
dlatu(j) = rlatu(j) - rlatu(j + 1) |
74 |
END DO |
END DO |
75 |
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76 |
dymin = dlatu(1) |
dymin = dlatu(1) |
96 |
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97 |
! Determination de jfiltnu, jfiltnv, jfiltsu, jfiltsv |
! Determination de jfiltnu, jfiltnv, jfiltsu, jfiltsv |
98 |
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99 |
modemax = iim |
PRINT *, 'TRUNCATION AT ', iim |
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imx = iim |
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PRINT *, 'TRUNCATION AT ', imx |
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100 |
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101 |
DO j = 2, jjm / 2 + 1 |
DO j = 2, jjm / 2 + 1 |
102 |
IF (cos(rlatu(j)) / colat0 < 1. & |
IF (cos(rlatu(j)) / colat0 < 1. & |
103 |
.and. rlamda(imx) * cos(rlatu(j)) < 1.) jfiltnu = j |
.and. rlamda(iim) * cos(rlatu(j)) < 1.) jfiltnu = j |
104 |
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105 |
IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. & |
IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. & |
106 |
.and. rlamda(imx) * cos(rlatu(jjm - j + 2)) < 1.) & |
.and. rlamda(iim) * cos(rlatu(jjm - j + 2)) < 1.) & |
107 |
jfiltsu = jjm - j + 2 |
jfiltsu = jjm - j + 2 |
108 |
END DO |
END DO |
109 |
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110 |
DO j = 1, jjm/2 |
DO j = 1, jjm / 2 |
111 |
cof = cos(rlatv(j))/colat0 |
IF (cos(rlatv(j)) / colat0 < 1. .and. rlamda(iim) * cos(rlatv(j)) < 1.) & |
112 |
IF (cof < 1.) THEN |
jfiltnv = j |
113 |
IF (rlamda(imx)*cos(rlatv(j)) < 1.) jfiltnv = j |
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114 |
END IF |
IF (cos(rlatv(jjm - j + 1)) / colat0 < 1. .and. rlamda(iim) & |
115 |
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* cos(rlatv(jjm - j + 1)) < 1.) jfiltsv = jjm - j + 1 |
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cof = cos(rlatv(jjm-j+1))/colat0 |
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IF (cof < 1.) THEN |
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IF (rlamda(imx)*cos(rlatv(jjm-j+1)) < 1.) jfiltsv = jjm - j + 1 |
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END IF |
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116 |
END DO |
END DO |
117 |
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118 |
IF (jfiltnu <= 0) jfiltnu = 1 |
IF (jfiltnu <= 0) jfiltnu = 1 |
119 |
IF (jfiltnu > jjm/2+1) THEN |
IF (jfiltnu > jjm / 2 + 1) THEN |
120 |
PRINT *, 'jfiltnu en dehors des valeurs acceptables ', jfiltnu |
PRINT *, 'jfiltnu en dehors des valeurs acceptables ', jfiltnu |
121 |
STOP 1 |
STOP 1 |
122 |
END IF |
END IF |
128 |
END IF |
END IF |
129 |
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130 |
IF (jfiltnv <= 0) jfiltnv = 1 |
IF (jfiltnv <= 0) jfiltnv = 1 |
131 |
IF (jfiltnv > jjm/2) THEN |
IF (jfiltnv > jjm / 2) THEN |
132 |
PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv |
PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv |
133 |
STOP 1 |
STOP 1 |
134 |
END IF |
END IF |
150 |
END DO |
END DO |
151 |
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152 |
DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
153 |
DO k = 2, modemax |
DO k = 2, iim |
154 |
cof = rlamda(k) * cos(rlatu(j)) |
IF (rlamda(k) * cos(rlatu(j)) < 1.) exit |
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IF (cof < 1.) exit |
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155 |
end DO |
end DO |
156 |
if (k == modemax + 1) cycle |
if (k == iim + 1) cycle |
157 |
modfrstu(j) = k |
modfrstu(j) = k |
158 |
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159 |
kf = modfrstu(j) |
kf = modfrstu(j) |
160 |
DO k = kf, modemax |
DO k = kf, iim |
161 |
cof = rlamda(k)*cos(rlatu(j)) |
cof = rlamda(k) * cos(rlatu(j)) |
162 |
coefilu(k, j) = cof - 1. |
coefilu(k, j) = cof - 1. |
163 |
coefilu2(k, j) = cof*cof - 1. |
coefilu2(k, j) = cof**2 - 1. |
164 |
end DO |
end DO |
165 |
END DO |
END DO |
166 |
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167 |
DO j = 1, jfiltnv |
DO j = 1, jfiltnv |
168 |
DO k = 2, modemax |
DO k = 2, iim |
169 |
cof = rlamda(k)*cos(rlatv(j)) |
IF (rlamda(k) * cos(rlatv(j)) < 1.) exit |
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IF (cof < 1.) exit |
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170 |
end DO |
end DO |
171 |
if (k == modemax + 1) cycle |
if (k == iim + 1) cycle |
172 |
modfrstv(j) = k |
modfrstv(j) = k |
173 |
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174 |
kf = modfrstv(j) |
kf = modfrstv(j) |
175 |
DO k = kf, modemax |
DO k = kf, iim |
176 |
cof = rlamda(k)*cos(rlatv(j)) |
cof = rlamda(k) * cos(rlatv(j)) |
177 |
coefilv(k, j) = cof - 1. |
coefilv(k, j) = cof - 1. |
178 |
coefilv2(k, j) = cof*cof - 1. |
coefilv2(k, j) = cof**2 - 1. |
179 |
end DO |
end DO |
180 |
end DO |
end DO |
181 |
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182 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
183 |
DO k = 2, modemax |
DO k = 2, iim |
184 |
cof = rlamda(k)*cos(rlatu(j)) |
IF (rlamda(k) * cos(rlatu(j)) < 1.) exit |
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IF (cof < 1.) exit |
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185 |
end DO |
end DO |
186 |
if (k == modemax + 1) cycle |
if (k == iim + 1) cycle |
187 |
modfrstu(j) = k |
modfrstu(j) = k |
188 |
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189 |
kf = modfrstu(j) |
kf = modfrstu(j) |
190 |
DO k = kf, modemax |
DO k = kf, iim |
191 |
cof = rlamda(k)*cos(rlatu(j)) |
cof = rlamda(k) * cos(rlatu(j)) |
192 |
coefilu(k, j) = cof - 1. |
coefilu(k, j) = cof - 1. |
193 |
coefilu2(k, j) = cof*cof - 1. |
coefilu2(k, j) = cof**2 - 1. |
194 |
end DO |
end DO |
195 |
end DO |
end DO |
196 |
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197 |
DO j = jfiltsv, jjm |
DO j = jfiltsv, jjm |
198 |
DO k = 2, modemax |
DO k = 2, iim |
199 |
cof = rlamda(k)*cos(rlatv(j)) |
IF (rlamda(k) * cos(rlatv(j)) < 1.) exit |
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IF (cof < 1.) exit |
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200 |
end DO |
end DO |
201 |
if (k == modemax + 1) cycle |
if (k == iim + 1) cycle |
202 |
modfrstv(j) = k |
modfrstv(j) = k |
203 |
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204 |
kf = modfrstv(j) |
kf = modfrstv(j) |
205 |
DO k = kf, modemax |
DO k = kf, iim |
206 |
cof = rlamda(k)*cos(rlatv(j)) |
cof = rlamda(k) * cos(rlatv(j)) |
207 |
coefilv(k, j) = cof - 1. |
coefilv(k, j) = cof - 1. |
208 |
coefilv2(k, j) = cof*cof - 1. |
coefilv2(k, j) = cof**2 - 1. |
209 |
end DO |
end DO |
210 |
END DO |
END DO |
211 |
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212 |
IF (jfiltnv>=jjm/2 .OR. jfiltnu>=jjm/2) THEN |
IF (jfiltnv>=jjm / 2 .OR. jfiltnu>=jjm / 2) THEN |
213 |
IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv |
IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv |
214 |
IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu |
IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu |
215 |
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237 |
else |
else |
238 |
coff = coefilu(i, j) |
coff = coefilu(i, j) |
239 |
end IF |
end IF |
240 |
eignft(i, :) = eignfnv(:, i)*coff |
eignft(i, :) = eignfnv(:, i) * coff |
241 |
END DO |
END DO |
242 |
matriceun(:, :, j) = matmul(eignfnv, eignft) |
matriceun(:, :, j) = matmul(eignfnv, eignft) |
243 |
END DO |
END DO |
264 |
else |
else |
265 |
coff = coefilv(i, j) |
coff = coefilv(i, j) |
266 |
end IF |
end IF |
267 |
eignft(i, :) = eignfnu(:, i)*coff |
eignft(i, :) = eignfnu(:, i) * coff |
268 |
END DO |
END DO |
269 |
matricevn(:, :, j) = matmul(eignfnu, eignft) |
matricevn(:, :, j) = matmul(eignfnu, eignft) |
270 |
END DO |
END DO |
276 |
else |
else |
277 |
coff = coefilv(i, j) |
coff = coefilv(i, j) |
278 |
end IF |
end IF |
279 |
eignft(i, :) = eignfnu(:, i)*coff |
eignft(i, :) = eignfnu(:, i) * coff |
280 |
END DO |
END DO |
281 |
matricevs(:, :, j) = matmul(eignfnu, eignft) |
matricevs(:, :, j) = matmul(eignfnu, eignft) |
282 |
END DO |
END DO |
289 |
IF (i < modfrstu(j)) then |
IF (i < modfrstu(j)) then |
290 |
coff = 0. |
coff = 0. |
291 |
else |
else |
292 |
coff = coefilu(i, j)/(1.+coefilu(i, j)) |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
293 |
end IF |
end IF |
294 |
eignft(i, :) = eignfnv(:, i)*coff |
eignft(i, :) = eignfnv(:, i) * coff |
295 |
END DO |
END DO |
296 |
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
matrinvn(:, :, j) = matmul(eignfnv, eignft) |
297 |
END DO |
END DO |
301 |
IF (i < modfrstu(j)) then |
IF (i < modfrstu(j)) then |
302 |
coff = 0. |
coff = 0. |
303 |
else |
else |
304 |
coff = coefilu(i, j)/(1.+coefilu(i, j)) |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
305 |
end IF |
end IF |
306 |
eignft(i, :) = eignfnv(:, i)*coff |
eignft(i, :) = eignfnv(:, i) * coff |
307 |
END DO |
END DO |
308 |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
309 |
END DO |
END DO |