38 |
! Local: |
! Local: |
39 |
REAL dlatu(jjm) |
REAL dlatu(jjm) |
40 |
REAL rlamda(2: iim) |
REAL rlamda(2: iim) |
41 |
real eignvl(iim) ! eigenvalues |
real eignvl(iim) ! eigenvalues sorted in descending order |
42 |
REAL cof |
REAL cof |
43 |
INTEGER i, j, k, kf, unit |
INTEGER i, j, k, unit |
44 |
REAL colat0 |
REAL colat0 ! > 0 |
45 |
REAL eignft(iim, iim), coff |
REAL eignft(iim, iim), coff |
46 |
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47 |
! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
! Filtering coefficients (lamda_max * cos(rlat) / lamda): |
48 |
real coefilu(iim, jjm), coefilv(iim, jjm) |
real coefilu(iim, jjm), coefilv(iim, jjm) |
49 |
real coefilu2(iim, jjm), coefilv2(iim, jjm) |
real coefilu2(iim, jjm), coefilv2(iim, jjm) |
50 |
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51 |
integer modfrstu(jjm), modfrstv(jjm) |
! Index of the mode from where modes are filtered: |
52 |
! index of the mode from where modes are filtered |
integer, allocatable:: modfrstnu(:), modfrstsu(:) |
53 |
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integer, allocatable:: modfrstnv(:), modfrstsv(:) |
54 |
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55 |
!----------------------------------------------------------- |
!----------------------------------------------------------- |
56 |
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58 |
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59 |
CALL inifgn(eignvl) |
CALL inifgn(eignvl) |
60 |
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call new_unit(unit) |
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open(unit, file = "eignvl.txt", status = "replace", action = "write") |
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write(unit, fmt = *) EIGNVL |
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close(unit) |
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61 |
! compute eigenvalues and eigenfunctions |
! compute eigenvalues and eigenfunctions |
62 |
! compute the filtering coefficients for scalar lines and |
! compute the filtering coefficients for scalar lines and |
63 |
! meridional wind v-lines |
! meridional wind v-lines |
72 |
PRINT *, 'colat0 = ', colat0 |
PRINT *, 'colat0 = ', colat0 |
73 |
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74 |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(abs(eignvl(2: iim))) |
rlamda = iim / (pi * colat0 / grossismx) / sqrt(abs(eignvl(2: iim))) |
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coefilu = 0. |
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coefilv = 0. |
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coefilu2 = 0. |
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coefilv2 = 0. |
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75 |
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76 |
! Determination de jfiltnu, jfiltnv, jfiltsu, jfiltsv |
! Determination de jfiltnu, jfiltsu, jfiltnv, jfiltsv |
77 |
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78 |
DO j = 2, jjm / 2 + 1 |
jfiltnu = (jjm + 1) / 2 |
79 |
IF (cos(rlatu(j)) / colat0 < 1. & |
do while (cos(rlatu(jfiltnu)) >= colat0 & |
80 |
.and. rlamda(iim) * cos(rlatu(j)) < 1.) jfiltnu = j |
.or. rlamda(iim) * cos(rlatu(jfiltnu)) >= 1.) |
81 |
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jfiltnu = jfiltnu - 1 |
82 |
IF (cos(rlatu(jjm - j + 2)) / colat0 < 1. & |
end do |
83 |
.and. rlamda(iim) * cos(rlatu(jjm - j + 2)) < 1.) & |
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84 |
jfiltsu = jjm - j + 2 |
jfiltsu = jjm / 2 + 2 |
85 |
END DO |
do while (cos(rlatu(jfiltsu)) >= colat0 & |
86 |
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.or. rlamda(iim) * cos(rlatu(jfiltsu)) >= 1.) |
87 |
DO j = 1, jjm / 2 |
jfiltsu = jfiltsu + 1 |
88 |
IF (cos(rlatv(j)) / colat0 < 1. .and. rlamda(iim) * cos(rlatv(j)) < 1.) & |
end do |
89 |
jfiltnv = j |
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90 |
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jfiltnv = jjm / 2 |
91 |
IF (cos(rlatv(jjm - j + 1)) / colat0 < 1. .and. rlamda(iim) & |
do while ((cos(rlatv(jfiltnv)) >= colat0 & |
92 |
* cos(rlatv(jjm - j + 1)) < 1.) jfiltsv = jjm - j + 1 |
.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) .and. jfiltnv >= 2) |
93 |
END DO |
jfiltnv = jfiltnv - 1 |
94 |
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end do |
95 |
IF (jfiltnu <= 0) jfiltnu = 1 |
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96 |
IF (jfiltnu > jjm / 2 + 1) THEN |
if (cos(rlatv(jfiltnv)) >= colat0 & |
97 |
PRINT *, 'jfiltnu en dehors des valeurs acceptables ', jfiltnu |
.or. rlamda(iim) * cos(rlatv(jfiltnv)) >= 1.) then |
98 |
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! {jfiltnv == 1} |
99 |
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PRINT *, 'Could not find jfiltnv.' |
100 |
STOP 1 |
STOP 1 |
101 |
END IF |
END IF |
102 |
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103 |
IF (jfiltsu <= 0) jfiltsu = 1 |
jfiltsv = (jjm + 1)/ 2 + 1 |
104 |
IF (jfiltsu > jjm + 1) THEN |
do while ((cos(rlatv(jfiltsv)) >= colat0 & |
105 |
PRINT *, 'jfiltsu en dehors des valeurs acceptables ', jfiltsu |
.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) .and. jfiltsv <= jjm - 1) |
106 |
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jfiltsv = jfiltsv + 1 |
107 |
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end do |
108 |
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109 |
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IF (cos(rlatv(jfiltsv)) >= colat0 & |
110 |
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.or. rlamda(iim) * cos(rlatv(jfiltsv)) >= 1.) THEN |
111 |
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! {jfiltsv == jjm} |
112 |
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PRINT *, 'Could not find jfiltsv.' |
113 |
STOP 1 |
STOP 1 |
114 |
END IF |
END IF |
115 |
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116 |
IF (jfiltnv <= 0) jfiltnv = 1 |
PRINT *, 'jfiltnu =', jfiltnu |
117 |
IF (jfiltnv > jjm / 2) THEN |
PRINT *, 'jfiltsu =', jfiltsu |
118 |
PRINT *, 'jfiltnv en dehors des valeurs acceptables ', jfiltnv |
PRINT *, 'jfiltnv =', jfiltnv |
119 |
STOP 1 |
PRINT *, 'jfiltsv =', jfiltsv |
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END IF |
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120 |
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121 |
IF (jfiltsv <= 0) jfiltsv = 1 |
! Determination de coefilu, coefilv, modfrst[ns][uv]: |
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IF (jfiltsv > jjm) THEN |
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PRINT *, 'jfiltsv en dehors des valeurs acceptables ', jfiltsv |
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STOP 1 |
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END IF |
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PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu ', jfiltnv, jfiltsv, jfiltnu, & |
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jfiltsu |
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122 |
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123 |
! Determination de coefilu, coefilv, n=modfrstu, modfrstv |
allocate(modfrstnu(2:jfiltnu), modfrstsu(jfiltsu:jjm)) |
124 |
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allocate(modfrstnv(jfiltnv), modfrstsv(jfiltsv:jjm)) |
125 |
DO j = 1, jjm |
coefilu = 0. |
126 |
modfrstu(j) = iim |
coefilv = 0. |
127 |
modfrstv(j) = iim |
coefilu2 = 0. |
128 |
END DO |
coefilv2 = 0. |
129 |
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130 |
DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
131 |
DO k = 2, iim |
modfrstnu(j) = 2 |
132 |
IF (rlamda(k) * cos(rlatu(j)) < 1.) exit |
do while (rlamda(modfrstnu(j)) * cos(rlatu(j)) >= 1. & |
133 |
end DO |
.and. modfrstnu(j) <= iim - 1) |
134 |
if (k == iim + 1) cycle |
modfrstnu(j) = modfrstnu(j) + 1 |
135 |
modfrstu(j) = k |
end do |
136 |
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137 |
kf = modfrstu(j) |
if (rlamda(modfrstnu(j)) * cos(rlatu(j)) < 1.) then |
138 |
DO k = kf, iim |
DO k = modfrstnu(j), iim |
139 |
cof = rlamda(k) * cos(rlatu(j)) |
cof = rlamda(k) * cos(rlatu(j)) |
140 |
coefilu(k, j) = cof - 1. |
coefilu(k, j) = cof - 1. |
141 |
coefilu2(k, j) = cof**2 - 1. |
coefilu2(k, j) = cof**2 - 1. |
142 |
end DO |
end DO |
143 |
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end if |
144 |
END DO |
END DO |
145 |
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146 |
DO j = 1, jfiltnv |
DO j = 1, jfiltnv |
147 |
DO k = 2, iim |
modfrstnv(j) = 2 |
148 |
IF (rlamda(k) * cos(rlatv(j)) < 1.) exit |
do while (rlamda(modfrstnv(j)) * cos(rlatv(j)) >= 1. & |
149 |
end DO |
.and. modfrstnv(j) <= iim - 1) |
150 |
if (k == iim + 1) cycle |
modfrstnv(j) = modfrstnv(j) + 1 |
151 |
modfrstv(j) = k |
end do |
152 |
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153 |
kf = modfrstv(j) |
if (rlamda(modfrstnv(j)) * cos(rlatv(j)) < 1.) then |
154 |
DO k = kf, iim |
DO k = modfrstnv(j), iim |
155 |
cof = rlamda(k) * cos(rlatv(j)) |
cof = rlamda(k) * cos(rlatv(j)) |
156 |
coefilv(k, j) = cof - 1. |
coefilv(k, j) = cof - 1. |
157 |
coefilv2(k, j) = cof**2 - 1. |
coefilv2(k, j) = cof**2 - 1. |
158 |
end DO |
end DO |
159 |
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end if |
160 |
end DO |
end DO |
161 |
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162 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
163 |
DO k = 2, iim |
modfrstsu(j) = 2 |
164 |
IF (rlamda(k) * cos(rlatu(j)) < 1.) exit |
do while (rlamda(modfrstsu(j)) * cos(rlatu(j)) >= 1. & |
165 |
end DO |
.and. modfrstsu(j) <= iim - 1) |
166 |
if (k == iim + 1) cycle |
modfrstsu(j) = modfrstsu(j) + 1 |
167 |
modfrstu(j) = k |
end do |
168 |
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169 |
kf = modfrstu(j) |
if (rlamda(modfrstsu(j)) * cos(rlatu(j)) < 1.) then |
170 |
DO k = kf, iim |
DO k = modfrstsu(j), iim |
171 |
cof = rlamda(k) * cos(rlatu(j)) |
cof = rlamda(k) * cos(rlatu(j)) |
172 |
coefilu(k, j) = cof - 1. |
coefilu(k, j) = cof - 1. |
173 |
coefilu2(k, j) = cof**2 - 1. |
coefilu2(k, j) = cof**2 - 1. |
174 |
end DO |
end DO |
175 |
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end if |
176 |
end DO |
end DO |
177 |
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178 |
DO j = jfiltsv, jjm |
DO j = jfiltsv, jjm |
179 |
DO k = 2, iim |
modfrstsv(j) = 2 |
180 |
IF (rlamda(k) * cos(rlatv(j)) < 1.) exit |
do while (rlamda(modfrstsv(j)) * cos(rlatv(j)) >= 1. & |
181 |
end DO |
.and. modfrstsv(j) <= iim - 1) |
182 |
if (k == iim + 1) cycle |
modfrstsv(j) = modfrstsv(j) + 1 |
183 |
modfrstv(j) = k |
end do |
184 |
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185 |
kf = modfrstv(j) |
if (rlamda(modfrstsv(j)) * cos(rlatv(j)) < 1.) then |
186 |
DO k = kf, iim |
DO k = modfrstsv(j), iim |
187 |
cof = rlamda(k) * cos(rlatv(j)) |
cof = rlamda(k) * cos(rlatv(j)) |
188 |
coefilv(k, j) = cof - 1. |
coefilv(k, j) = cof - 1. |
189 |
coefilv2(k, j) = cof**2 - 1. |
coefilv2(k, j) = cof**2 - 1. |
190 |
end DO |
end DO |
191 |
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end if |
192 |
END DO |
END DO |
193 |
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194 |
IF (jfiltnv>=jjm / 2 .OR. jfiltnu>=jjm / 2) THEN |
call new_unit(unit) |
195 |
IF (jfiltnv == jfiltsv) jfiltsv = 1 + jfiltnv |
open(unit, file = "inifilr_out.txt", status = "replace", action = "write") |
196 |
IF (jfiltnu == jfiltsu) jfiltsu = 1 + jfiltnu |
write(unit, fmt = *) '"EIGNVL"', eignvl |
197 |
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write(unit, fmt = *) '"modfrstnu"', modfrstnu |
198 |
PRINT *, 'jfiltnv jfiltsv jfiltnu jfiltsu', jfiltnv, jfiltsv, jfiltnu, & |
write(unit, fmt = *) '"modfrstsu"', modfrstsu |
199 |
jfiltsu |
write(unit, fmt = *) '"modfrstnv"', modfrstnv |
200 |
END IF |
write(unit, fmt = *) '"modfrstsv"', modfrstsv |
201 |
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close(unit) |
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PRINT *, 'Modes premiers v ' |
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PRINT 334, modfrstv |
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PRINT *, 'Modes premiers u ' |
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PRINT 334, modfrstu |
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202 |
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203 |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
allocate(matriceun(iim, iim, 2:jfiltnu), matrinvn(iim, iim, 2:jfiltnu)) |
204 |
allocate(matricevn(iim, iim, jfiltnv)) |
allocate(matricevn(iim, iim, jfiltnv)) |
210 |
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211 |
DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
212 |
DO i = 1, iim |
DO i = 1, iim |
213 |
IF (i < modfrstu(j)) then |
IF (i < modfrstnu(j)) then |
214 |
coff = 0. |
coff = 0. |
215 |
else |
else |
216 |
coff = coefilu(i, j) |
coff = coefilu(i, j) |
222 |
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223 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
224 |
DO i = 1, iim |
DO i = 1, iim |
225 |
IF (i < modfrstu(j)) then |
IF (i < modfrstsu(j)) then |
226 |
coff = 0. |
coff = 0. |
227 |
else |
else |
228 |
coff = coefilu(i, j) |
coff = coefilu(i, j) |
237 |
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238 |
DO j = 1, jfiltnv |
DO j = 1, jfiltnv |
239 |
DO i = 1, iim |
DO i = 1, iim |
240 |
IF (i < modfrstv(j)) then |
IF (i < modfrstnv(j)) then |
241 |
coff = 0. |
coff = 0. |
242 |
else |
else |
243 |
coff = coefilv(i, j) |
coff = coefilv(i, j) |
249 |
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250 |
DO j = jfiltsv, jjm |
DO j = jfiltsv, jjm |
251 |
DO i = 1, iim |
DO i = 1, iim |
252 |
IF (i < modfrstv(j)) then |
IF (i < modfrstsv(j)) then |
253 |
coff = 0. |
coff = 0. |
254 |
else |
else |
255 |
coff = coefilv(i, j) |
coff = coefilv(i, j) |
264 |
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265 |
DO j = 2, jfiltnu |
DO j = 2, jfiltnu |
266 |
DO i = 1, iim |
DO i = 1, iim |
267 |
IF (i < modfrstu(j)) then |
IF (i < modfrstnu(j)) then |
268 |
coff = 0. |
coff = 0. |
269 |
else |
else |
270 |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
276 |
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277 |
DO j = jfiltsu, jjm |
DO j = jfiltsu, jjm |
278 |
DO i = 1, iim |
DO i = 1, iim |
279 |
IF (i < modfrstu(j)) then |
IF (i < modfrstsu(j)) then |
280 |
coff = 0. |
coff = 0. |
281 |
else |
else |
282 |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
coff = coefilu(i, j) / (1. + coefilu(i, j)) |
286 |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
matrinvs(:, :, j) = matmul(eignfnv, eignft) |
287 |
END DO |
END DO |
288 |
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334 FORMAT (1X, 24I3) |
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289 |
END SUBROUTINE inifilr |
END SUBROUTINE inifilr |
290 |
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291 |
end module inifilr_m |
end module inifilr_m |