1 |
module comgeom |
2 |
|
3 |
use dimens_m, only: iim, jjm |
4 |
|
5 |
implicit none |
6 |
|
7 |
private iim, jjm |
8 |
|
9 |
real cu_2d(iim + 1, jjm + 1), cv_2d(iim + 1, jjm) ! in m |
10 |
real cu((iim + 1) * (jjm + 1)), cv((iim + 1) * jjm) ! in m |
11 |
equivalence (cu, cu_2d), (cv, cv_2d) |
12 |
|
13 |
real unscu2_2d(iim + 1, jjm + 1) ! in m-2 |
14 |
real unscu2((iim + 1) * (jjm + 1)) ! in m-2 |
15 |
equivalence (unscu2, unscu2_2d) |
16 |
|
17 |
real unscv2_2d(iim + 1, jjm) ! in m-2 |
18 |
real unscv2((iim + 1) * jjm) ! in m-2 |
19 |
equivalence (unscv2, unscv2_2d) |
20 |
|
21 |
real aire((iim + 1) * (jjm + 1)), aire_2d(iim + 1, jjm + 1) ! in m2 |
22 |
real airesurg_2d(iim + 1, jjm + 1), airesurg((iim + 1) * (jjm + 1)) |
23 |
equivalence (aire, aire_2d), (airesurg, airesurg_2d) |
24 |
|
25 |
real aireu_2d(iim + 1, jjm + 1) ! in m2 |
26 |
real aireu((iim + 1) * (jjm + 1)) ! in m2 |
27 |
equivalence (aireu, aireu_2d) |
28 |
|
29 |
real airev((iim + 1) * jjm), airev_2d(iim + 1, jjm) ! in m2 |
30 |
real unsaire((iim + 1) * (jjm + 1)), unsaire_2d(iim + 1, jjm + 1) ! in m-2 |
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equivalence (airev, airev_2d), (unsaire, unsaire_2d) |
32 |
|
33 |
real apoln, apols ! in m2 |
34 |
|
35 |
real unsairez_2d(iim + 1, jjm) |
36 |
real unsairez((iim + 1) * jjm) |
37 |
equivalence (unsairez, unsairez_2d) |
38 |
|
39 |
real alpha1_2d(iim + 1, jjm + 1) |
40 |
real alpha1((iim + 1) * (jjm + 1)) |
41 |
equivalence (alpha1, alpha1_2d) |
42 |
|
43 |
real alpha2_2d(iim + 1, jjm + 1) |
44 |
real alpha2((iim + 1) * (jjm + 1)) |
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equivalence (alpha2, alpha2_2d) |
46 |
|
47 |
real alpha3_2d(iim + 1, jjm + 1), alpha4_2d(iim + 1, jjm + 1) |
48 |
real alpha3((iim + 1) * (jjm + 1)), alpha4((iim + 1) * (jjm + 1)) |
49 |
equivalence (alpha3, alpha3_2d), (alpha4, alpha4_2d) |
50 |
|
51 |
real alpha1p2_2d(iim + 1, jjm + 1) |
52 |
real alpha1p2((iim + 1) * (jjm + 1)) |
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equivalence (alpha1p2, alpha1p2_2d) |
54 |
|
55 |
real alpha1p4_2d(iim + 1, jjm + 1), alpha2p3_2d(iim + 1, jjm + 1) |
56 |
real alpha1p4((iim + 1) * (jjm + 1)), alpha2p3((iim + 1) * (jjm + 1)) |
57 |
equivalence (alpha1p4, alpha1p4_2d), (alpha2p3, alpha2p3_2d) |
58 |
|
59 |
real alpha3p4((iim + 1) * (jjm + 1)) |
60 |
real alpha3p4_2d(iim + 1, jjm + 1) |
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equivalence (alpha3p4, alpha3p4_2d) |
62 |
|
63 |
real fext_2d(iim + 1, jjm), constang_2d(iim + 1, jjm + 1) |
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real fext((iim + 1) * jjm), constang((iim + 1) * (jjm + 1)) |
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equivalence (fext, fext_2d), (constang, constang_2d) |
66 |
|
67 |
real rlatu(jjm + 1) |
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! (latitudes of points of the "scalar" and "u" grid, in rad) |
69 |
|
70 |
real rlatv(jjm) |
71 |
! (latitudes of points of the "v" grid, in rad, in decreasing order) |
72 |
|
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real rlonu(iim + 1) ! longitudes of points of the "u" grid, in rad |
74 |
|
75 |
real rlonv(iim + 1) |
76 |
! (longitudes of points of the "scalar" and "v" grid, in rad) |
77 |
|
78 |
real cuvsurcv_2d(iim + 1, jjm), cvsurcuv_2d(iim + 1, jjm) ! no dimension |
79 |
real cuvsurcv((iim + 1) * jjm), cvsurcuv((iim + 1) * jjm) ! no dimension |
80 |
equivalence (cuvsurcv, cuvsurcv_2d), (cvsurcuv, cvsurcuv_2d) |
81 |
|
82 |
real cvusurcu_2d(iim + 1, jjm + 1), cusurcvu_2d(iim + 1, jjm + 1) |
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! no dimension |
84 |
real cvusurcu((iim + 1) * (jjm + 1)), cusurcvu((iim + 1) * (jjm + 1)) |
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! no dimension |
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equivalence (cvusurcu, cvusurcu_2d), (cusurcvu, cusurcvu_2d) |
87 |
|
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real cuvscvgam1_2d(iim + 1, jjm) |
89 |
real cuvscvgam1((iim + 1) * jjm) |
90 |
equivalence (cuvscvgam1, cuvscvgam1_2d) |
91 |
|
92 |
real cuvscvgam2_2d(iim + 1, jjm), cvuscugam1_2d(iim + 1, jjm + 1) |
93 |
real cuvscvgam2((iim + 1) * jjm), cvuscugam1((iim + 1) * (jjm + 1)) |
94 |
equivalence (cuvscvgam2, cuvscvgam2_2d), (cvuscugam1, cvuscugam1_2d) |
95 |
|
96 |
real cvuscugam2_2d(iim + 1, jjm + 1), cvscuvgam_2d(iim + 1, jjm) |
97 |
real cvuscugam2((iim + 1) * (jjm + 1)), cvscuvgam((iim + 1) * jjm) |
98 |
equivalence (cvuscugam2, cvuscugam2_2d), (cvscuvgam, cvscuvgam_2d) |
99 |
|
100 |
real cuscvugam((iim + 1) * (jjm + 1)) |
101 |
real cuscvugam_2d(iim + 1, jjm + 1) |
102 |
equivalence (cuscvugam, cuscvugam_2d) |
103 |
|
104 |
real unsapolnga1, unsapolnga2, unsapolsga1, unsapolsga2 |
105 |
|
106 |
real unsair_gam1_2d(iim + 1, jjm + 1), unsair_gam2_2d(iim + 1, jjm + 1) |
107 |
real unsair_gam1((iim + 1) * (jjm + 1)), unsair_gam2((iim + 1) * (jjm + 1)) |
108 |
equivalence (unsair_gam1, unsair_gam1_2d), (unsair_gam2, unsair_gam2_2d) |
109 |
|
110 |
real unsairz_gam_2d(iim + 1, jjm) |
111 |
real unsairz_gam((iim + 1) * jjm) |
112 |
equivalence (unsairz_gam, unsairz_gam_2d) |
113 |
|
114 |
real xprimu(iim + 1), xprimv(iim + 1) |
115 |
|
116 |
save |
117 |
|
118 |
contains |
119 |
|
120 |
SUBROUTINE inigeom |
121 |
|
122 |
! Auteur : P. Le Van |
123 |
|
124 |
! Calcul des élongations cuij1, ..., cuij4, cvij1, ..., cvij4 aux mêmes |
125 |
! endroits que les aires aireij1_2d, ..., aireij4_2d. |
126 |
|
127 |
! Choix entre une fonction "f(y)" à dérivée sinusoïdale ou à |
128 |
! dérivée tangente hyperbolique. Calcul des coefficients cu_2d, |
129 |
! cv_2d, 1. / cu_2d**2, 1. / cv_2d**2. Les coefficients cu_2d et cv_2d |
130 |
! permettent de passer des vitesses naturelles aux vitesses |
131 |
! covariantes et contravariantes, ou vice-versa. |
132 |
|
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! On a : |
134 |
! u(covariant) = cu_2d * u(naturel), u(contravariant) = u(naturel) / cu_2d |
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! v(covariant) = cv_2d * v(naturel), v(contravariant) = v(naturel) / cv_2d |
136 |
|
137 |
! On en tire : |
138 |
! u(covariant) = cu_2d * cu_2d * u(contravariant) |
139 |
! v(covariant) = cv_2d * cv_2d * v(contravariant) |
140 |
|
141 |
! On a l'application (x(X), y(Y)) avec - im / 2 + 1 <= X <= im / 2 |
142 |
! et - jm / 2 <= Y <= jm / 2 |
143 |
|
144 |
! x est la longitude du point en radians. |
145 |
! y est la latitude du point en radians. |
146 |
! |
147 |
! On a : cu_2d(i, j) = rad * cos(y) * dx / dX |
148 |
! cv(j) = rad * dy / dY |
149 |
! aire_2d(i, j) = cu_2d(i, j) * cv(j) |
150 |
! |
151 |
! y, dx / dX, dy / dY calculés aux points concernés. cv, bien que |
152 |
! dépendant de j uniquement, sera ici indicé aussi en i pour un |
153 |
! adressage plus facile en ij. |
154 |
|
155 |
! xprimu et xprimv sont respectivement les valeurs de dx / dX aux |
156 |
! points u et v. yprimu et yprimv sont respectivement les valeurs |
157 |
! de dy / dY aux points u et v. rlatu et rlatv sont respectivement |
158 |
! les valeurs de la latitude aux points u et v. cvu et cv_2d sont |
159 |
! respectivement les valeurs de cv_2d aux points u et v. |
160 |
|
161 |
! cu_2d, cuv, cuscal, cuz sont respectivement les valeurs de cu_2d |
162 |
! aux points u, v, scalaires, et z. Cf. "inigeom.txt". |
163 |
|
164 |
USE comconst, ONLY : g, omeg, rad |
165 |
USE comdissnew, ONLY : coefdis, nitergdiv, nitergrot, niterh |
166 |
use conf_gcm_m, ONLY : fxyhypb, ysinus |
167 |
use fxy_m, only: fxy |
168 |
use fxyhyper_m, only: fxyhyper |
169 |
use fxysinus_m, only: fxysinus |
170 |
use jumble, only: new_unit |
171 |
use nr_util, only: pi |
172 |
USE paramet_m, ONLY : iip1, jjp1 |
173 |
USE serre, ONLY : alphax, alphay, clat, clon, pxo, pyo, transx, transy |
174 |
! Modifiés pxo, pyo, transx, transy |
175 |
|
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! Local: |
177 |
INTEGER i, j, itmax, itmay, iter, unit |
178 |
REAL cvu(iip1, jjp1), cuv(iip1, jjm) |
179 |
REAL ai14, ai23, airez, un4rad2 |
180 |
REAL eps, x1, xo1, f, df, xdm, y1, yo1, ydm |
181 |
REAL coslatm, coslatp, radclatm, radclatp |
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REAL, dimension(iip1, jjp1):: cuij1, cuij2, cuij3, cuij4 ! in m |
183 |
REAL, dimension(iip1, jjp1):: cvij1, cvij2, cvij3, cvij4 ! in m |
184 |
REAL rlatu1(jjm), yprimu1(jjm), rlatu2(jjm), yprimu2(jjm) |
185 |
real yprimv(jjm), yprimu(jjp1) |
186 |
REAL gamdi_gdiv, gamdi_grot, gamdi_h |
187 |
REAL rlonm025(iip1), xprimm025(iip1), rlonp025(iip1), xprimp025(iip1) |
188 |
real, dimension(iim + 1, jjm + 1):: aireij1_2d, aireij2_2d, aireij3_2d, & |
189 |
aireij4_2d ! in m2 |
190 |
real airuscv2_2d(iim + 1, jjm) |
191 |
real airvscu2_2d(iim + 1, jjm), aiuscv2gam_2d(iim + 1, jjm) |
192 |
real aivscu2gam_2d(iim + 1, jjm) |
193 |
|
194 |
!------------------------------------------------------------------ |
195 |
|
196 |
PRINT *, 'Call sequence information: inigeom' |
197 |
|
198 |
IF (nitergdiv/=2) THEN |
199 |
gamdi_gdiv = coefdis / (real(nitergdiv)-2.) |
200 |
ELSE |
201 |
gamdi_gdiv = 0. |
202 |
END IF |
203 |
IF (nitergrot/=2) THEN |
204 |
gamdi_grot = coefdis / (real(nitergrot)-2.) |
205 |
ELSE |
206 |
gamdi_grot = 0. |
207 |
END IF |
208 |
IF (niterh/=2) THEN |
209 |
gamdi_h = coefdis / (real(niterh)-2.) |
210 |
ELSE |
211 |
gamdi_h = 0. |
212 |
END IF |
213 |
|
214 |
print *, 'gamdi_gdiv = ', gamdi_gdiv |
215 |
print *, "gamdi_grot = ", gamdi_grot |
216 |
print *, "gamdi_h = ", gamdi_h |
217 |
|
218 |
IF (fxyhypb) THEN |
219 |
print *, 'inigeom: Y = latitude, dérivée tangente hyperbolique' |
220 |
CALL fxyhyper(rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, rlatu2, & |
221 |
yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, xprimm025, & |
222 |
rlonp025, xprimp025) |
223 |
ELSE |
224 |
IF (ysinus) THEN |
225 |
print *, 'inigeom: Y = sin(latitude)' |
226 |
! Utilisation de f(x, y) avec y = sinus de la latitude |
227 |
CALL fxysinus(rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, & |
228 |
rlatu2, yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, & |
229 |
xprimm025, rlonp025, xprimp025) |
230 |
ELSE |
231 |
print *, 'Inigeom, Y = Latitude, der. sinusoid .' |
232 |
! utilisation de f(x, y) a tangente sinusoidale, y etant la latit |
233 |
|
234 |
pxo = clon * pi / 180. |
235 |
pyo = 2. * clat * pi / 180. |
236 |
|
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! determination de transx (pour le zoom) par Newton-Raphson |
238 |
|
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itmax = 10 |
240 |
eps = .1E-7 |
241 |
|
242 |
xo1 = 0. |
243 |
DO iter = 1, itmax |
244 |
x1 = xo1 |
245 |
f = x1 + alphax * sin(x1-pxo) |
246 |
df = 1. + alphax * cos(x1-pxo) |
247 |
x1 = x1 - f / df |
248 |
xdm = abs(x1-xo1) |
249 |
IF (xdm<=eps) EXIT |
250 |
xo1 = x1 |
251 |
END DO |
252 |
|
253 |
transx = xo1 |
254 |
|
255 |
itmay = 10 |
256 |
eps = .1E-7 |
257 |
|
258 |
yo1 = 0. |
259 |
DO iter = 1, itmay |
260 |
y1 = yo1 |
261 |
f = y1 + alphay * sin(y1-pyo) |
262 |
df = 1. + alphay * cos(y1-pyo) |
263 |
y1 = y1 - f / df |
264 |
ydm = abs(y1-yo1) |
265 |
IF (ydm<=eps) EXIT |
266 |
yo1 = y1 |
267 |
END DO |
268 |
|
269 |
transy = yo1 |
270 |
|
271 |
CALL fxy(rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, rlatu2, & |
272 |
yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, xprimm025, & |
273 |
rlonp025, xprimp025) |
274 |
END IF |
275 |
END IF |
276 |
|
277 |
rlatu(1) = pi / 2. |
278 |
rlatu(jjp1) = -rlatu(1) |
279 |
|
280 |
! Calcul aux pôles |
281 |
|
282 |
yprimu(1) = 0. |
283 |
yprimu(jjp1) = 0. |
284 |
|
285 |
un4rad2 = 0.25 * rad * rad |
286 |
|
287 |
! Cf. "inigeom.txt". Calcul des quatre aires élémentaires |
288 |
! aireij1_2d, aireij2_2d, aireij3_2d, aireij4_2d qui entourent |
289 |
! chaque aire_2d(i, j), ainsi que les quatre élongations |
290 |
! élémentaires cuij et les quatre élongations cvij qui sont |
291 |
! calculées aux mêmes endroits que les aireij. |
292 |
|
293 |
coslatm = cos(rlatu1(1)) |
294 |
radclatm = 0.5 * rad * coslatm |
295 |
|
296 |
aireij1_2d(:iim, 1) = 0. |
297 |
aireij2_2d(:iim, 1) = un4rad2 * coslatm * xprimp025(:iim) * yprimu1(1) |
298 |
aireij3_2d(:iim, 1) = un4rad2 * coslatm * xprimm025(:iim) * yprimu1(1) |
299 |
aireij4_2d(:iim, 1) = 0. |
300 |
|
301 |
cuij1(:iim, 1) = 0. |
302 |
cuij2(:iim, 1) = radclatm * xprimp025(:iim) |
303 |
cuij3(:iim, 1) = radclatm * xprimm025(:iim) |
304 |
cuij4(:iim, 1) = 0. |
305 |
|
306 |
cvij1(:iim, 1) = 0. |
307 |
cvij2(:iim, 1) = 0.5 * rad * yprimu1(1) |
308 |
cvij3(:iim, 1) = cvij2(:iim, 1) |
309 |
cvij4(:iim, 1) = 0. |
310 |
|
311 |
do j = 2, jjm |
312 |
coslatm = cos(rlatu1(j)) |
313 |
coslatp = cos(rlatu2(j-1)) |
314 |
radclatp = 0.5 * rad * coslatp |
315 |
radclatm = 0.5 * rad * coslatm |
316 |
ai14 = un4rad2 * coslatp * yprimu2(j-1) |
317 |
ai23 = un4rad2 * coslatm * yprimu1(j) |
318 |
|
319 |
aireij1_2d(:iim, j) = ai14 * xprimp025(:iim) |
320 |
aireij2_2d(:iim, j) = ai23 * xprimp025(:iim) |
321 |
aireij3_2d(:iim, j) = ai23 * xprimm025(:iim) |
322 |
aireij4_2d(:iim, j) = ai14 * xprimm025(:iim) |
323 |
cuij1(:iim, j) = radclatp * xprimp025(:iim) |
324 |
cuij2(:iim, j) = radclatm * xprimp025(:iim) |
325 |
cuij3(:iim, j) = radclatm * xprimm025(:iim) |
326 |
cuij4(:iim, j) = radclatp * xprimm025(:iim) |
327 |
cvij1(:iim, j) = 0.5 * rad * yprimu2(j-1) |
328 |
cvij2(:iim, j) = 0.5 * rad * yprimu1(j) |
329 |
cvij3(:iim, j) = cvij2(:iim, j) |
330 |
cvij4(:iim, j) = cvij1(:iim, j) |
331 |
end do |
332 |
|
333 |
coslatp = cos(rlatu2(jjm)) |
334 |
radclatp = 0.5 * rad * coslatp |
335 |
|
336 |
aireij1_2d(:iim, jjp1) = un4rad2 * coslatp * xprimp025(:iim) * yprimu2(jjm) |
337 |
aireij2_2d(:iim, jjp1) = 0. |
338 |
aireij3_2d(:iim, jjp1) = 0. |
339 |
aireij4_2d(:iim, jjp1) = un4rad2 * coslatp * xprimm025(:iim) * yprimu2(jjm) |
340 |
|
341 |
cuij1(:iim, jjp1) = radclatp * xprimp025(:iim) |
342 |
cuij2(:iim, jjp1) = 0. |
343 |
cuij3(:iim, jjp1) = 0. |
344 |
cuij4(:iim, jjp1) = radclatp * xprimm025(:iim) |
345 |
|
346 |
cvij1(:iim, jjp1) = 0.5 * rad * yprimu2(jjm) |
347 |
cvij2(:iim, jjp1) = 0. |
348 |
cvij3(:iim, jjp1) = 0. |
349 |
cvij4(:iim, jjp1) = cvij1(:iim, jjp1) |
350 |
|
351 |
! Périodicité : |
352 |
|
353 |
cvij1(iip1, :) = cvij1(1, :) |
354 |
cvij2(iip1, :) = cvij2(1, :) |
355 |
cvij3(iip1, :) = cvij3(1, :) |
356 |
cvij4(iip1, :) = cvij4(1, :) |
357 |
|
358 |
cuij1(iip1, :) = cuij1(1, :) |
359 |
cuij2(iip1, :) = cuij2(1, :) |
360 |
cuij3(iip1, :) = cuij3(1, :) |
361 |
cuij4(iip1, :) = cuij4(1, :) |
362 |
|
363 |
aireij1_2d(iip1, :) = aireij1_2d(1, :) |
364 |
aireij2_2d(iip1, :) = aireij2_2d(1, :) |
365 |
aireij3_2d(iip1, :) = aireij3_2d(1, :) |
366 |
aireij4_2d(iip1, :) = aireij4_2d(1, :) |
367 |
|
368 |
DO j = 1, jjp1 |
369 |
DO i = 1, iim |
370 |
aire_2d(i, j) = aireij1_2d(i, j) + aireij2_2d(i, j) & |
371 |
+ aireij3_2d(i, j) + aireij4_2d(i, j) |
372 |
alpha1_2d(i, j) = aireij1_2d(i, j) / aire_2d(i, j) |
373 |
alpha2_2d(i, j) = aireij2_2d(i, j) / aire_2d(i, j) |
374 |
alpha3_2d(i, j) = aireij3_2d(i, j) / aire_2d(i, j) |
375 |
alpha4_2d(i, j) = aireij4_2d(i, j) / aire_2d(i, j) |
376 |
alpha1p2_2d(i, j) = alpha1_2d(i, j) + alpha2_2d(i, j) |
377 |
alpha1p4_2d(i, j) = alpha1_2d(i, j) + alpha4_2d(i, j) |
378 |
alpha2p3_2d(i, j) = alpha2_2d(i, j) + alpha3_2d(i, j) |
379 |
alpha3p4_2d(i, j) = alpha3_2d(i, j) + alpha4_2d(i, j) |
380 |
END DO |
381 |
|
382 |
aire_2d(iip1, j) = aire_2d(1, j) |
383 |
alpha1_2d(iip1, j) = alpha1_2d(1, j) |
384 |
alpha2_2d(iip1, j) = alpha2_2d(1, j) |
385 |
alpha3_2d(iip1, j) = alpha3_2d(1, j) |
386 |
alpha4_2d(iip1, j) = alpha4_2d(1, j) |
387 |
alpha1p2_2d(iip1, j) = alpha1p2_2d(1, j) |
388 |
alpha1p4_2d(iip1, j) = alpha1p4_2d(1, j) |
389 |
alpha2p3_2d(iip1, j) = alpha2p3_2d(1, j) |
390 |
alpha3p4_2d(iip1, j) = alpha3p4_2d(1, j) |
391 |
END DO |
392 |
|
393 |
DO j = 1, jjp1 |
394 |
DO i = 1, iim |
395 |
aireu_2d(i, j) = aireij1_2d(i, j) + aireij2_2d(i, j) + & |
396 |
aireij4_2d(i + 1, j) + aireij3_2d(i + 1, j) |
397 |
unsaire_2d(i, j) = 1. / aire_2d(i, j) |
398 |
unsair_gam1_2d(i, j) = unsaire_2d(i, j)**(-gamdi_gdiv) |
399 |
unsair_gam2_2d(i, j) = unsaire_2d(i, j)**(-gamdi_h) |
400 |
airesurg_2d(i, j) = aire_2d(i, j) / g |
401 |
END DO |
402 |
aireu_2d(iip1, j) = aireu_2d(1, j) |
403 |
unsaire_2d(iip1, j) = unsaire_2d(1, j) |
404 |
unsair_gam1_2d(iip1, j) = unsair_gam1_2d(1, j) |
405 |
unsair_gam2_2d(iip1, j) = unsair_gam2_2d(1, j) |
406 |
airesurg_2d(iip1, j) = airesurg_2d(1, j) |
407 |
END DO |
408 |
|
409 |
DO j = 1, jjm |
410 |
DO i = 1, iim |
411 |
airev_2d(i, j) = aireij2_2d(i, j) + aireij3_2d(i, j) + & |
412 |
aireij1_2d(i, j + 1) + aireij4_2d(i, j + 1) |
413 |
END DO |
414 |
DO i = 1, iim |
415 |
airez = aireij2_2d(i, j) + aireij1_2d(i, j + 1) & |
416 |
+ aireij3_2d(i + 1, j) + aireij4_2d(i + 1, j + 1) |
417 |
unsairez_2d(i, j) = 1. / airez |
418 |
unsairz_gam_2d(i, j) = unsairez_2d(i, j)**(-gamdi_grot) |
419 |
fext_2d(i, j) = airez * sin(rlatv(j)) * 2. * omeg |
420 |
END DO |
421 |
airev_2d(iip1, j) = airev_2d(1, j) |
422 |
unsairez_2d(iip1, j) = unsairez_2d(1, j) |
423 |
fext_2d(iip1, j) = fext_2d(1, j) |
424 |
unsairz_gam_2d(iip1, j) = unsairz_gam_2d(1, j) |
425 |
END DO |
426 |
|
427 |
! Calcul des élongations cu_2d, cv_2d, cvu |
428 |
|
429 |
DO j = 1, jjm |
430 |
DO i = 1, iim |
431 |
cv_2d(i, j) = 0.5 * & |
432 |
(cvij2(i, j) + cvij3(i, j) + cvij1(i, j + 1) + cvij4(i, j + 1)) |
433 |
cvu(i, j) = 0.5 * (cvij1(i, j) + cvij4(i, j) + cvij2(i, j) & |
434 |
+ cvij3(i, j)) |
435 |
cuv(i, j) = 0.5 * (cuij2(i, j) + cuij3(i, j) + cuij1(i, j + 1) & |
436 |
+ cuij4(i, j + 1)) |
437 |
unscv2_2d(i, j) = 1. / cv_2d(i, j)**2 |
438 |
END DO |
439 |
DO i = 1, iim |
440 |
cuvsurcv_2d(i, j) = airev_2d(i, j) * unscv2_2d(i, j) |
441 |
cvsurcuv_2d(i, j) = 1. / cuvsurcv_2d(i, j) |
442 |
cuvscvgam1_2d(i, j) = cuvsurcv_2d(i, j)**(-gamdi_gdiv) |
443 |
cuvscvgam2_2d(i, j) = cuvsurcv_2d(i, j)**(-gamdi_h) |
444 |
cvscuvgam_2d(i, j) = cvsurcuv_2d(i, j)**(-gamdi_grot) |
445 |
END DO |
446 |
cv_2d(iip1, j) = cv_2d(1, j) |
447 |
cvu(iip1, j) = cvu(1, j) |
448 |
unscv2_2d(iip1, j) = unscv2_2d(1, j) |
449 |
cuv(iip1, j) = cuv(1, j) |
450 |
cuvsurcv_2d(iip1, j) = cuvsurcv_2d(1, j) |
451 |
cvsurcuv_2d(iip1, j) = cvsurcuv_2d(1, j) |
452 |
cuvscvgam1_2d(iip1, j) = cuvscvgam1_2d(1, j) |
453 |
cuvscvgam2_2d(iip1, j) = cuvscvgam2_2d(1, j) |
454 |
cvscuvgam_2d(iip1, j) = cvscuvgam_2d(1, j) |
455 |
END DO |
456 |
|
457 |
DO j = 2, jjm |
458 |
DO i = 1, iim |
459 |
cu_2d(i, j) = 0.5 * (cuij1(i, j) + cuij4(i + 1, j) + cuij2(i, j) & |
460 |
+ cuij3(i + 1, j)) |
461 |
unscu2_2d(i, j) = 1. / cu_2d(i, j)**2 |
462 |
cvusurcu_2d(i, j) = aireu_2d(i, j) * unscu2_2d(i, j) |
463 |
cusurcvu_2d(i, j) = 1. / cvusurcu_2d(i, j) |
464 |
cvuscugam1_2d(i, j) = cvusurcu_2d(i, j)**(-gamdi_gdiv) |
465 |
cvuscugam2_2d(i, j) = cvusurcu_2d(i, j)**(-gamdi_h) |
466 |
cuscvugam_2d(i, j) = cusurcvu_2d(i, j)**(-gamdi_grot) |
467 |
END DO |
468 |
cu_2d(iip1, j) = cu_2d(1, j) |
469 |
unscu2_2d(iip1, j) = unscu2_2d(1, j) |
470 |
cvusurcu_2d(iip1, j) = cvusurcu_2d(1, j) |
471 |
cusurcvu_2d(iip1, j) = cusurcvu_2d(1, j) |
472 |
cvuscugam1_2d(iip1, j) = cvuscugam1_2d(1, j) |
473 |
cvuscugam2_2d(iip1, j) = cvuscugam2_2d(1, j) |
474 |
cuscvugam_2d(iip1, j) = cuscvugam_2d(1, j) |
475 |
END DO |
476 |
|
477 |
! Calcul aux pôles |
478 |
|
479 |
cu_2d(:, 1) = 0. |
480 |
unscu2_2d(:, 1) = 0. |
481 |
cvu(:, 1) = 0. |
482 |
|
483 |
cu_2d(:, jjp1) = 0. |
484 |
unscu2_2d(:, jjp1) = 0. |
485 |
cvu(:, jjp1) = 0. |
486 |
|
487 |
DO j = 1, jjm |
488 |
DO i = 1, iim |
489 |
airvscu2_2d(i, j) = airev_2d(i, j) / (cuv(i, j) * cuv(i, j)) |
490 |
aivscu2gam_2d(i, j) = airvscu2_2d(i, j)**(-gamdi_grot) |
491 |
END DO |
492 |
airvscu2_2d(iip1, j) = airvscu2_2d(1, j) |
493 |
aivscu2gam_2d(iip1, j) = aivscu2gam_2d(1, j) |
494 |
END DO |
495 |
|
496 |
DO j = 2, jjm |
497 |
DO i = 1, iim |
498 |
airuscv2_2d(i, j) = aireu_2d(i, j) / (cvu(i, j) * cvu(i, j)) |
499 |
aiuscv2gam_2d(i, j) = airuscv2_2d(i, j)**(-gamdi_grot) |
500 |
END DO |
501 |
airuscv2_2d(iip1, j) = airuscv2_2d(1, j) |
502 |
aiuscv2gam_2d(iip1, j) = aiuscv2gam_2d(1, j) |
503 |
END DO |
504 |
|
505 |
! Calcul des aires aux pôles : |
506 |
|
507 |
apoln = sum(aire_2d(:iim, 1)) |
508 |
apols = sum(aire_2d(:iim, jjp1)) |
509 |
unsapolnga1 = 1. / (apoln**(-gamdi_gdiv)) |
510 |
unsapolsga1 = 1. / (apols**(-gamdi_gdiv)) |
511 |
unsapolnga2 = 1. / (apoln**(-gamdi_h)) |
512 |
unsapolsga2 = 1. / (apols**(-gamdi_h)) |
513 |
|
514 |
! Changement F. Hourdin calcul conservatif pour fext_2d |
515 |
! constang_2d contient le produit a * cos (latitude) * omega |
516 |
|
517 |
DO i = 1, iim |
518 |
constang_2d(i, 1) = 0. |
519 |
END DO |
520 |
DO j = 1, jjm - 1 |
521 |
DO i = 1, iim |
522 |
constang_2d(i, j + 1) = rad * omeg * cu_2d(i, j + 1) & |
523 |
* cos(rlatu(j + 1)) |
524 |
END DO |
525 |
END DO |
526 |
DO i = 1, iim |
527 |
constang_2d(i, jjp1) = 0. |
528 |
END DO |
529 |
|
530 |
! Périodicité en longitude |
531 |
DO j = 1, jjp1 |
532 |
constang_2d(iip1, j) = constang_2d(1, j) |
533 |
END DO |
534 |
|
535 |
call new_unit(unit) |
536 |
open(unit, file="longitude_latitude.txt", status="replace", action="write") |
537 |
write(unit, fmt=*) '"longitudes at V points (degrees)"', rlonv * 180. / pi |
538 |
write(unit, fmt=*) '"latitudes at V points (degrees)"', rlatv * 180. / pi |
539 |
write(unit, fmt=*) '"longitudes at U points (degrees)"', rlonu * 180. / pi |
540 |
write(unit, fmt=*) '"latitudes at U points (degrees)"', rlatu * 180. / pi |
541 |
close(unit) |
542 |
|
543 |
END SUBROUTINE inigeom |
544 |
|
545 |
end module comgeom |