| 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 |
| 31 |
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)) |
| 45 |
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)) |
| 53 |
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) |
| 64 |
real fext((iim + 1) * jjm), constang((iim + 1) * (jjm + 1)) |
| 65 |
equivalence (fext, fext_2d), (constang, constang_2d) |
| 66 |
|
| 67 |
real rlatu(jjm + 1) |
| 68 |
! (latitudes of points of the "scalar" and "u" grid, in rad) |
| 69 |
|
| 70 |
real rlatv(jjm) |
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! (latitudes of points of the "v" grid, in rad, in decreasing order) |
| 72 |
|
| 73 |
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) |
| 83 |
! no dimension |
| 84 |
real cvusurcu((iim + 1) * (jjm + 1)), cusurcvu((iim + 1) * (jjm + 1)) |
| 85 |
! no dimension |
| 86 |
equivalence (cvusurcu, cvusurcu_2d), (cusurcvu, cusurcvu_2d) |
| 87 |
|
| 88 |
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 |
|
| 133 |
! On a : |
| 134 |
! u(covariant) = cu_2d * u(naturel), u(contravariant) = u(naturel) / cu_2d |
| 135 |
! 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 jumble, only: new_unit |
| 170 |
use nr_util, only: pi |
| 171 |
USE paramet_m, ONLY : iip1, jjp1 |
| 172 |
USE serre, ONLY : alphax, alphay, clat, clon, dzoomx, dzoomy, grossismx, & |
| 173 |
grossismy, pxo, pyo, taux, tauy, transx, transy |
| 174 |
! Modifies pxo, pyo, transx, transy |
| 175 |
|
| 176 |
! Variables locales |
| 177 |
|
| 178 |
INTEGER i, j, itmax, itmay, iter, unit |
| 179 |
REAL cvu(iip1, jjp1), cuv(iip1, jjm) |
| 180 |
REAL ai14, ai23, airez, un4rad2 |
| 181 |
REAL eps, x1, xo1, f, df, xdm, y1, yo1, ydm |
| 182 |
REAL coslatm, coslatp, radclatm, radclatp |
| 183 |
REAL, dimension(iip1, jjp1):: cuij1, cuij2, cuij3, cuij4 ! in m |
| 184 |
REAL, dimension(iip1, jjp1):: cvij1, cvij2, cvij3, cvij4 ! in m |
| 185 |
REAL rlatu1(jjm), yprimu1(jjm), rlatu2(jjm), yprimu2(jjm) |
| 186 |
real yprimv(jjm), yprimu(jjp1) |
| 187 |
REAL gamdi_gdiv, gamdi_grot, gamdi_h |
| 188 |
REAL rlonm025(iip1), xprimm025(iip1), rlonp025(iip1), xprimp025(iip1) |
| 189 |
real, dimension(iim + 1, jjm + 1):: aireij1_2d, aireij2_2d, aireij3_2d, & |
| 190 |
aireij4_2d ! in m2 |
| 191 |
real airuscv2_2d(iim + 1, jjm) |
| 192 |
real airvscu2_2d(iim + 1, jjm), aiuscv2gam_2d(iim + 1, jjm) |
| 193 |
real aivscu2gam_2d(iim + 1, jjm) |
| 194 |
|
| 195 |
!------------------------------------------------------------------ |
| 196 |
|
| 197 |
PRINT *, 'Call sequence information: inigeom' |
| 198 |
|
| 199 |
IF (nitergdiv/=2) THEN |
| 200 |
gamdi_gdiv = coefdis / (real(nitergdiv)-2.) |
| 201 |
ELSE |
| 202 |
gamdi_gdiv = 0. |
| 203 |
END IF |
| 204 |
IF (nitergrot/=2) THEN |
| 205 |
gamdi_grot = coefdis / (real(nitergrot)-2.) |
| 206 |
ELSE |
| 207 |
gamdi_grot = 0. |
| 208 |
END IF |
| 209 |
IF (niterh/=2) THEN |
| 210 |
gamdi_h = coefdis / (real(niterh)-2.) |
| 211 |
ELSE |
| 212 |
gamdi_h = 0. |
| 213 |
END IF |
| 214 |
|
| 215 |
print *, 'gamdi_gdiv = ', gamdi_gdiv |
| 216 |
print *, "gamdi_grot = ", gamdi_grot |
| 217 |
print *, "gamdi_h = ", gamdi_h |
| 218 |
|
| 219 |
IF (.NOT. fxyhypb) THEN |
| 220 |
IF (ysinus) THEN |
| 221 |
print *, ' Inigeom, Y = Sinus (Latitude) ' |
| 222 |
! utilisation de f(x, y) avec y = sinus de la latitude |
| 223 |
CALL fxysinus(rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, & |
| 224 |
rlatu2, yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, & |
| 225 |
xprimm025, rlonp025, xprimp025) |
| 226 |
ELSE |
| 227 |
print *, 'Inigeom, Y = Latitude, der. sinusoid .' |
| 228 |
! utilisation de f(x, y) a tangente sinusoidale, y etant la latit |
| 229 |
|
| 230 |
pxo = clon * pi / 180. |
| 231 |
pyo = 2. * clat * pi / 180. |
| 232 |
|
| 233 |
! determination de transx (pour le zoom) par Newton-Raphson |
| 234 |
|
| 235 |
itmax = 10 |
| 236 |
eps = .1E-7 |
| 237 |
|
| 238 |
xo1 = 0. |
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DO iter = 1, itmax |
| 240 |
x1 = xo1 |
| 241 |
f = x1 + alphax * sin(x1-pxo) |
| 242 |
df = 1. + alphax * cos(x1-pxo) |
| 243 |
x1 = x1 - f / df |
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xdm = abs(x1-xo1) |
| 245 |
IF (xdm<=eps) EXIT |
| 246 |
xo1 = x1 |
| 247 |
END DO |
| 248 |
|
| 249 |
transx = xo1 |
| 250 |
|
| 251 |
itmay = 10 |
| 252 |
eps = .1E-7 |
| 253 |
|
| 254 |
yo1 = 0. |
| 255 |
DO iter = 1, itmay |
| 256 |
y1 = yo1 |
| 257 |
f = y1 + alphay * sin(y1-pyo) |
| 258 |
df = 1. + alphay * cos(y1-pyo) |
| 259 |
y1 = y1 - f / df |
| 260 |
ydm = abs(y1-yo1) |
| 261 |
IF (ydm<=eps) EXIT |
| 262 |
yo1 = y1 |
| 263 |
END DO |
| 264 |
|
| 265 |
transy = yo1 |
| 266 |
|
| 267 |
CALL fxy(rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, rlatu2, & |
| 268 |
yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, xprimm025, & |
| 269 |
rlonp025, xprimp025) |
| 270 |
END IF |
| 271 |
ELSE |
| 272 |
! Utilisation de fxyhyper, f(x, y) à dérivée tangente hyperbolique |
| 273 |
print *, 'Inigeom, Y = Latitude, dérivée tangente hyperbolique' |
| 274 |
CALL fxyhyper(clat, grossismy, dzoomy, tauy, clon, grossismx, dzoomx, & |
| 275 |
taux, rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, rlatu2, & |
| 276 |
yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, xprimm025, & |
| 277 |
rlonp025, xprimp025) |
| 278 |
END IF |
| 279 |
|
| 280 |
rlatu(1) = pi / 2. |
| 281 |
rlatu(jjp1) = -rlatu(1) |
| 282 |
|
| 283 |
! Calcul aux pôles |
| 284 |
|
| 285 |
yprimu(1) = 0. |
| 286 |
yprimu(jjp1) = 0. |
| 287 |
|
| 288 |
un4rad2 = 0.25 * rad * rad |
| 289 |
|
| 290 |
! Cf. "inigeom.txt". Calcul des quatre aires élémentaires |
| 291 |
! aireij1_2d, aireij2_2d, aireij3_2d, aireij4_2d qui entourent |
| 292 |
! chaque aire_2d(i, j), ainsi que les quatre élongations |
| 293 |
! élémentaires cuij et les quatre élongations cvij qui sont |
| 294 |
! calculées aux mêmes endroits que les aireij. |
| 295 |
|
| 296 |
coslatm = cos(rlatu1(1)) |
| 297 |
radclatm = 0.5 * rad * coslatm |
| 298 |
|
| 299 |
aireij1_2d(:iim, 1) = 0. |
| 300 |
aireij2_2d(:iim, 1) = un4rad2 * coslatm * xprimp025(:iim) * yprimu1(1) |
| 301 |
aireij3_2d(:iim, 1) = un4rad2 * coslatm * xprimm025(:iim) * yprimu1(1) |
| 302 |
aireij4_2d(:iim, 1) = 0. |
| 303 |
|
| 304 |
cuij1(:iim, 1) = 0. |
| 305 |
cuij2(:iim, 1) = radclatm * xprimp025(:iim) |
| 306 |
cuij3(:iim, 1) = radclatm * xprimm025(:iim) |
| 307 |
cuij4(:iim, 1) = 0. |
| 308 |
|
| 309 |
cvij1(:iim, 1) = 0. |
| 310 |
cvij2(:iim, 1) = 0.5 * rad * yprimu1(1) |
| 311 |
cvij3(:iim, 1) = cvij2(:iim, 1) |
| 312 |
cvij4(:iim, 1) = 0. |
| 313 |
|
| 314 |
do j = 2, jjm |
| 315 |
coslatm = cos(rlatu1(j)) |
| 316 |
coslatp = cos(rlatu2(j-1)) |
| 317 |
radclatp = 0.5 * rad * coslatp |
| 318 |
radclatm = 0.5 * rad * coslatm |
| 319 |
ai14 = un4rad2 * coslatp * yprimu2(j-1) |
| 320 |
ai23 = un4rad2 * coslatm * yprimu1(j) |
| 321 |
|
| 322 |
aireij1_2d(:iim, j) = ai14 * xprimp025(:iim) |
| 323 |
aireij2_2d(:iim, j) = ai23 * xprimp025(:iim) |
| 324 |
aireij3_2d(:iim, j) = ai23 * xprimm025(:iim) |
| 325 |
aireij4_2d(:iim, j) = ai14 * xprimm025(:iim) |
| 326 |
cuij1(:iim, j) = radclatp * xprimp025(:iim) |
| 327 |
cuij2(:iim, j) = radclatm * xprimp025(:iim) |
| 328 |
cuij3(:iim, j) = radclatm * xprimm025(:iim) |
| 329 |
cuij4(:iim, j) = radclatp * xprimm025(:iim) |
| 330 |
cvij1(:iim, j) = 0.5 * rad * yprimu2(j-1) |
| 331 |
cvij2(:iim, j) = 0.5 * rad * yprimu1(j) |
| 332 |
cvij3(:iim, j) = cvij2(:iim, j) |
| 333 |
cvij4(:iim, j) = cvij1(:iim, j) |
| 334 |
end do |
| 335 |
|
| 336 |
coslatp = cos(rlatu2(jjm)) |
| 337 |
radclatp = 0.5 * rad * coslatp |
| 338 |
|
| 339 |
aireij1_2d(:iim, jjp1) = un4rad2 * coslatp * xprimp025(:iim) * yprimu2(jjm) |
| 340 |
aireij2_2d(:iim, jjp1) = 0. |
| 341 |
aireij3_2d(:iim, jjp1) = 0. |
| 342 |
aireij4_2d(:iim, jjp1) = un4rad2 * coslatp * xprimm025(:iim) * yprimu2(jjm) |
| 343 |
|
| 344 |
cuij1(:iim, jjp1) = radclatp * xprimp025(:iim) |
| 345 |
cuij2(:iim, jjp1) = 0. |
| 346 |
cuij3(:iim, jjp1) = 0. |
| 347 |
cuij4(:iim, jjp1) = radclatp * xprimm025(:iim) |
| 348 |
|
| 349 |
cvij1(:iim, jjp1) = 0.5 * rad * yprimu2(jjm) |
| 350 |
cvij2(:iim, jjp1) = 0. |
| 351 |
cvij3(:iim, jjp1) = 0. |
| 352 |
cvij4(:iim, jjp1) = cvij1(:iim, jjp1) |
| 353 |
|
| 354 |
! Périodicité : |
| 355 |
|
| 356 |
cvij1(iip1, :) = cvij1(1, :) |
| 357 |
cvij2(iip1, :) = cvij2(1, :) |
| 358 |
cvij3(iip1, :) = cvij3(1, :) |
| 359 |
cvij4(iip1, :) = cvij4(1, :) |
| 360 |
|
| 361 |
cuij1(iip1, :) = cuij1(1, :) |
| 362 |
cuij2(iip1, :) = cuij2(1, :) |
| 363 |
cuij3(iip1, :) = cuij3(1, :) |
| 364 |
cuij4(iip1, :) = cuij4(1, :) |
| 365 |
|
| 366 |
aireij1_2d(iip1, :) = aireij1_2d(1, :) |
| 367 |
aireij2_2d(iip1, :) = aireij2_2d(1, :) |
| 368 |
aireij3_2d(iip1, :) = aireij3_2d(1, :) |
| 369 |
aireij4_2d(iip1, :) = aireij4_2d(1, :) |
| 370 |
|
| 371 |
DO j = 1, jjp1 |
| 372 |
DO i = 1, iim |
| 373 |
aire_2d(i, j) = aireij1_2d(i, j) + aireij2_2d(i, j) & |
| 374 |
+ aireij3_2d(i, j) + aireij4_2d(i, j) |
| 375 |
alpha1_2d(i, j) = aireij1_2d(i, j) / aire_2d(i, j) |
| 376 |
alpha2_2d(i, j) = aireij2_2d(i, j) / aire_2d(i, j) |
| 377 |
alpha3_2d(i, j) = aireij3_2d(i, j) / aire_2d(i, j) |
| 378 |
alpha4_2d(i, j) = aireij4_2d(i, j) / aire_2d(i, j) |
| 379 |
alpha1p2_2d(i, j) = alpha1_2d(i, j) + alpha2_2d(i, j) |
| 380 |
alpha1p4_2d(i, j) = alpha1_2d(i, j) + alpha4_2d(i, j) |
| 381 |
alpha2p3_2d(i, j) = alpha2_2d(i, j) + alpha3_2d(i, j) |
| 382 |
alpha3p4_2d(i, j) = alpha3_2d(i, j) + alpha4_2d(i, j) |
| 383 |
END DO |
| 384 |
|
| 385 |
aire_2d(iip1, j) = aire_2d(1, j) |
| 386 |
alpha1_2d(iip1, j) = alpha1_2d(1, j) |
| 387 |
alpha2_2d(iip1, j) = alpha2_2d(1, j) |
| 388 |
alpha3_2d(iip1, j) = alpha3_2d(1, j) |
| 389 |
alpha4_2d(iip1, j) = alpha4_2d(1, j) |
| 390 |
alpha1p2_2d(iip1, j) = alpha1p2_2d(1, j) |
| 391 |
alpha1p4_2d(iip1, j) = alpha1p4_2d(1, j) |
| 392 |
alpha2p3_2d(iip1, j) = alpha2p3_2d(1, j) |
| 393 |
alpha3p4_2d(iip1, j) = alpha3p4_2d(1, j) |
| 394 |
END DO |
| 395 |
|
| 396 |
DO j = 1, jjp1 |
| 397 |
DO i = 1, iim |
| 398 |
aireu_2d(i, j) = aireij1_2d(i, j) + aireij2_2d(i, j) + & |
| 399 |
aireij4_2d(i + 1, j) + aireij3_2d(i + 1, j) |
| 400 |
unsaire_2d(i, j) = 1. / aire_2d(i, j) |
| 401 |
unsair_gam1_2d(i, j) = unsaire_2d(i, j)**(-gamdi_gdiv) |
| 402 |
unsair_gam2_2d(i, j) = unsaire_2d(i, j)**(-gamdi_h) |
| 403 |
airesurg_2d(i, j) = aire_2d(i, j) / g |
| 404 |
END DO |
| 405 |
aireu_2d(iip1, j) = aireu_2d(1, j) |
| 406 |
unsaire_2d(iip1, j) = unsaire_2d(1, j) |
| 407 |
unsair_gam1_2d(iip1, j) = unsair_gam1_2d(1, j) |
| 408 |
unsair_gam2_2d(iip1, j) = unsair_gam2_2d(1, j) |
| 409 |
airesurg_2d(iip1, j) = airesurg_2d(1, j) |
| 410 |
END DO |
| 411 |
|
| 412 |
DO j = 1, jjm |
| 413 |
DO i = 1, iim |
| 414 |
airev_2d(i, j) = aireij2_2d(i, j) + aireij3_2d(i, j) + & |
| 415 |
aireij1_2d(i, j + 1) + aireij4_2d(i, j + 1) |
| 416 |
END DO |
| 417 |
DO i = 1, iim |
| 418 |
airez = aireij2_2d(i, j) + aireij1_2d(i, j + 1) & |
| 419 |
+ aireij3_2d(i + 1, j) + aireij4_2d(i + 1, j + 1) |
| 420 |
unsairez_2d(i, j) = 1. / airez |
| 421 |
unsairz_gam_2d(i, j) = unsairez_2d(i, j)**(-gamdi_grot) |
| 422 |
fext_2d(i, j) = airez * sin(rlatv(j)) * 2. * omeg |
| 423 |
END DO |
| 424 |
airev_2d(iip1, j) = airev_2d(1, j) |
| 425 |
unsairez_2d(iip1, j) = unsairez_2d(1, j) |
| 426 |
fext_2d(iip1, j) = fext_2d(1, j) |
| 427 |
unsairz_gam_2d(iip1, j) = unsairz_gam_2d(1, j) |
| 428 |
END DO |
| 429 |
|
| 430 |
! Calcul des élongations cu_2d, cv_2d, cvu |
| 431 |
|
| 432 |
DO j = 1, jjm |
| 433 |
DO i = 1, iim |
| 434 |
cv_2d(i, j) = 0.5 * & |
| 435 |
(cvij2(i, j) + cvij3(i, j) + cvij1(i, j + 1) + cvij4(i, j + 1)) |
| 436 |
cvu(i, j) = 0.5 * (cvij1(i, j) + cvij4(i, j) + cvij2(i, j) & |
| 437 |
+ cvij3(i, j)) |
| 438 |
cuv(i, j) = 0.5 * (cuij2(i, j) + cuij3(i, j) + cuij1(i, j + 1) & |
| 439 |
+ cuij4(i, j + 1)) |
| 440 |
unscv2_2d(i, j) = 1. / cv_2d(i, j)**2 |
| 441 |
END DO |
| 442 |
DO i = 1, iim |
| 443 |
cuvsurcv_2d(i, j) = airev_2d(i, j) * unscv2_2d(i, j) |
| 444 |
cvsurcuv_2d(i, j) = 1. / cuvsurcv_2d(i, j) |
| 445 |
cuvscvgam1_2d(i, j) = cuvsurcv_2d(i, j)**(-gamdi_gdiv) |
| 446 |
cuvscvgam2_2d(i, j) = cuvsurcv_2d(i, j)**(-gamdi_h) |
| 447 |
cvscuvgam_2d(i, j) = cvsurcuv_2d(i, j)**(-gamdi_grot) |
| 448 |
END DO |
| 449 |
cv_2d(iip1, j) = cv_2d(1, j) |
| 450 |
cvu(iip1, j) = cvu(1, j) |
| 451 |
unscv2_2d(iip1, j) = unscv2_2d(1, j) |
| 452 |
cuv(iip1, j) = cuv(1, j) |
| 453 |
cuvsurcv_2d(iip1, j) = cuvsurcv_2d(1, j) |
| 454 |
cvsurcuv_2d(iip1, j) = cvsurcuv_2d(1, j) |
| 455 |
cuvscvgam1_2d(iip1, j) = cuvscvgam1_2d(1, j) |
| 456 |
cuvscvgam2_2d(iip1, j) = cuvscvgam2_2d(1, j) |
| 457 |
cvscuvgam_2d(iip1, j) = cvscuvgam_2d(1, j) |
| 458 |
END DO |
| 459 |
|
| 460 |
DO j = 2, jjm |
| 461 |
DO i = 1, iim |
| 462 |
cu_2d(i, j) = 0.5 * (cuij1(i, j) + cuij4(i + 1, j) + cuij2(i, j) & |
| 463 |
+ cuij3(i + 1, j)) |
| 464 |
unscu2_2d(i, j) = 1. / cu_2d(i, j)**2 |
| 465 |
cvusurcu_2d(i, j) = aireu_2d(i, j) * unscu2_2d(i, j) |
| 466 |
cusurcvu_2d(i, j) = 1. / cvusurcu_2d(i, j) |
| 467 |
cvuscugam1_2d(i, j) = cvusurcu_2d(i, j)**(-gamdi_gdiv) |
| 468 |
cvuscugam2_2d(i, j) = cvusurcu_2d(i, j)**(-gamdi_h) |
| 469 |
cuscvugam_2d(i, j) = cusurcvu_2d(i, j)**(-gamdi_grot) |
| 470 |
END DO |
| 471 |
cu_2d(iip1, j) = cu_2d(1, j) |
| 472 |
unscu2_2d(iip1, j) = unscu2_2d(1, j) |
| 473 |
cvusurcu_2d(iip1, j) = cvusurcu_2d(1, j) |
| 474 |
cusurcvu_2d(iip1, j) = cusurcvu_2d(1, j) |
| 475 |
cvuscugam1_2d(iip1, j) = cvuscugam1_2d(1, j) |
| 476 |
cvuscugam2_2d(iip1, j) = cvuscugam2_2d(1, j) |
| 477 |
cuscvugam_2d(iip1, j) = cuscvugam_2d(1, j) |
| 478 |
END DO |
| 479 |
|
| 480 |
! Calcul aux pôles |
| 481 |
|
| 482 |
cu_2d(:, 1) = 0. |
| 483 |
unscu2_2d(:, 1) = 0. |
| 484 |
cvu(:, 1) = 0. |
| 485 |
|
| 486 |
cu_2d(:, jjp1) = 0. |
| 487 |
unscu2_2d(:, jjp1) = 0. |
| 488 |
cvu(:, jjp1) = 0. |
| 489 |
|
| 490 |
DO j = 1, jjm |
| 491 |
DO i = 1, iim |
| 492 |
airvscu2_2d(i, j) = airev_2d(i, j) / (cuv(i, j) * cuv(i, j)) |
| 493 |
aivscu2gam_2d(i, j) = airvscu2_2d(i, j)**(-gamdi_grot) |
| 494 |
END DO |
| 495 |
airvscu2_2d(iip1, j) = airvscu2_2d(1, j) |
| 496 |
aivscu2gam_2d(iip1, j) = aivscu2gam_2d(1, j) |
| 497 |
END DO |
| 498 |
|
| 499 |
DO j = 2, jjm |
| 500 |
DO i = 1, iim |
| 501 |
airuscv2_2d(i, j) = aireu_2d(i, j) / (cvu(i, j) * cvu(i, j)) |
| 502 |
aiuscv2gam_2d(i, j) = airuscv2_2d(i, j)**(-gamdi_grot) |
| 503 |
END DO |
| 504 |
airuscv2_2d(iip1, j) = airuscv2_2d(1, j) |
| 505 |
aiuscv2gam_2d(iip1, j) = aiuscv2gam_2d(1, j) |
| 506 |
END DO |
| 507 |
|
| 508 |
! Calcul des aires aux pôles : |
| 509 |
|
| 510 |
apoln = sum(aire_2d(:iim, 1)) |
| 511 |
apols = sum(aire_2d(:iim, jjp1)) |
| 512 |
unsapolnga1 = 1. / (apoln**(-gamdi_gdiv)) |
| 513 |
unsapolsga1 = 1. / (apols**(-gamdi_gdiv)) |
| 514 |
unsapolnga2 = 1. / (apoln**(-gamdi_h)) |
| 515 |
unsapolsga2 = 1. / (apols**(-gamdi_h)) |
| 516 |
|
| 517 |
! Changement F. Hourdin calcul conservatif pour fext_2d |
| 518 |
! constang_2d contient le produit a * cos (latitude) * omega |
| 519 |
|
| 520 |
DO i = 1, iim |
| 521 |
constang_2d(i, 1) = 0. |
| 522 |
END DO |
| 523 |
DO j = 1, jjm - 1 |
| 524 |
DO i = 1, iim |
| 525 |
constang_2d(i, j + 1) = rad * omeg * cu_2d(i, j + 1) & |
| 526 |
* cos(rlatu(j + 1)) |
| 527 |
END DO |
| 528 |
END DO |
| 529 |
DO i = 1, iim |
| 530 |
constang_2d(i, jjp1) = 0. |
| 531 |
END DO |
| 532 |
|
| 533 |
! Périodicité en longitude |
| 534 |
DO j = 1, jjp1 |
| 535 |
constang_2d(iip1, j) = constang_2d(1, j) |
| 536 |
END DO |
| 537 |
|
| 538 |
call new_unit(unit) |
| 539 |
open(unit, file="longitude_latitude.txt", status="replace", action="write") |
| 540 |
write(unit, fmt=*) '"longitudes at V points (degrees)"', rlonv * 180. / pi |
| 541 |
write(unit, fmt=*) '"latitudes at V points (degrees)"', rlatv * 180. / pi |
| 542 |
write(unit, fmt=*) '"longitudes at U points (degrees)"', rlonu * 180. / pi |
| 543 |
write(unit, fmt=*) '"latitudes at U points (degrees)"', rlatu * 180. / pi |
| 544 |
close(unit) |
| 545 |
|
| 546 |
END SUBROUTINE inigeom |
| 547 |
|
| 548 |
end module comgeom |
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