1 |
module comgeom |
module comgeom |
2 |
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3 |
use dimens_m, only: iim, jjm |
use dimens_m, only: iim, jjm |
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use paramet_m, only: ip1jmp1, ip1jm |
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4 |
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5 |
implicit none |
implicit none |
6 |
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7 |
private iim, jjm, ip1jmp1, ip1jm |
private iim, jjm |
8 |
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9 |
real cu_2d(iim + 1, jjm + 1), cv_2d(iim + 1, jjm) ! in m |
real cu_2d(iim + 1, jjm + 1), cv_2d(iim + 1, jjm) ! in m |
10 |
real cu(ip1jmp1), cv(ip1jm) ! in m |
real cu((iim + 1) * (jjm + 1)), cv((iim + 1) * jjm) ! in m |
11 |
equivalence (cu, cu_2d), (cv, cv_2d) |
equivalence (cu, cu_2d), (cv, cv_2d) |
12 |
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13 |
real unscu2_2d(iim + 1, jjm + 1) ! in m-2 |
real unscu2_2d(iim + 1, jjm + 1) ! in m-2 |
14 |
real unscu2(ip1jmp1) ! in m-2 |
real unscu2((iim + 1) * (jjm + 1)) ! in m-2 |
15 |
equivalence (unscu2, unscu2_2d) |
equivalence (unscu2, unscu2_2d) |
16 |
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17 |
real unscv2_2d(iim + 1, jjm) ! in m-2 |
real unscv2_2d(iim + 1, jjm) ! in m-2 |
18 |
real unscv2(ip1jm) ! in m-2 |
real unscv2((iim + 1) * jjm) ! in m-2 |
19 |
equivalence (unscv2, unscv2_2d) |
equivalence (unscv2, unscv2_2d) |
20 |
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21 |
real aire(ip1jmp1), aire_2d(iim + 1, jjm + 1) ! in m2 |
real aire((iim + 1) * (jjm + 1)), aire_2d(iim + 1, jjm + 1) ! in m2 |
22 |
real airesurg_2d(iim + 1, jjm + 1), airesurg(ip1jmp1) |
real airesurg_2d(iim + 1, jjm + 1), airesurg((iim + 1) * (jjm + 1)) |
23 |
equivalence (aire, aire_2d), (airesurg, airesurg_2d) |
equivalence (aire, aire_2d), (airesurg, airesurg_2d) |
24 |
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25 |
real aireu_2d(iim + 1, jjm + 1) ! in m2 |
real aireu_2d(iim + 1, jjm + 1) ! in m2 |
26 |
real aireu(ip1jmp1) ! in m2 |
real aireu((iim + 1) * (jjm + 1)) ! in m2 |
27 |
equivalence (aireu, aireu_2d) |
equivalence (aireu, aireu_2d) |
28 |
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29 |
real airev(ip1jm), airev_2d(iim + 1, jjm) ! in m2 |
real airev((iim + 1) * jjm), airev_2d(iim + 1, jjm) ! in m2 |
30 |
real unsaire(ip1jmp1), unsaire_2d(iim + 1, jjm + 1) ! in m-2 |
real unsaire((iim + 1) * (jjm + 1)), unsaire_2d(iim + 1, jjm + 1) ! in m-2 |
31 |
equivalence (airev, airev_2d), (unsaire, unsaire_2d) |
equivalence (airev, airev_2d), (unsaire, unsaire_2d) |
32 |
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33 |
real apoln, apols ! in m2 |
real apoln, apols ! in m2 |
34 |
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35 |
real unsairez_2d(iim + 1, jjm) |
real unsairez_2d(iim + 1, jjm) |
36 |
real unsairez(ip1jm) |
real unsairez((iim + 1) * jjm) |
37 |
equivalence (unsairez, unsairez_2d) |
equivalence (unsairez, unsairez_2d) |
38 |
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39 |
real alpha1_2d(iim + 1, jjm + 1) |
real alpha1_2d(iim + 1, jjm + 1) |
40 |
real alpha1(ip1jmp1) |
real alpha1((iim + 1) * (jjm + 1)) |
41 |
equivalence (alpha1, alpha1_2d) |
equivalence (alpha1, alpha1_2d) |
42 |
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43 |
real alpha2_2d(iim + 1, jjm + 1) |
real alpha2_2d(iim + 1, jjm + 1) |
44 |
real alpha2(ip1jmp1) |
real alpha2((iim + 1) * (jjm + 1)) |
45 |
equivalence (alpha2, alpha2_2d) |
equivalence (alpha2, alpha2_2d) |
46 |
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47 |
real alpha3_2d(iim + 1, jjm + 1), alpha4_2d(iim + 1, jjm + 1) |
real alpha3_2d(iim + 1, jjm + 1), alpha4_2d(iim + 1, jjm + 1) |
48 |
real alpha3(ip1jmp1), alpha4(ip1jmp1) |
real alpha3((iim + 1) * (jjm + 1)), alpha4((iim + 1) * (jjm + 1)) |
49 |
equivalence (alpha3, alpha3_2d), (alpha4, alpha4_2d) |
equivalence (alpha3, alpha3_2d), (alpha4, alpha4_2d) |
50 |
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51 |
real alpha1p2_2d(iim + 1, jjm + 1) |
real alpha1p2_2d(iim + 1, jjm + 1) |
52 |
real alpha1p2(ip1jmp1) |
real alpha1p2((iim + 1) * (jjm + 1)) |
53 |
equivalence (alpha1p2, alpha1p2_2d) |
equivalence (alpha1p2, alpha1p2_2d) |
54 |
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55 |
real alpha1p4_2d(iim + 1, jjm + 1), alpha2p3_2d(iim + 1, jjm + 1) |
real alpha1p4_2d(iim + 1, jjm + 1), alpha2p3_2d(iim + 1, jjm + 1) |
56 |
real alpha1p4(ip1jmp1), alpha2p3(ip1jmp1) |
real alpha1p4((iim + 1) * (jjm + 1)), alpha2p3((iim + 1) * (jjm + 1)) |
57 |
equivalence (alpha1p4, alpha1p4_2d), (alpha2p3, alpha2p3_2d) |
equivalence (alpha1p4, alpha1p4_2d), (alpha2p3, alpha2p3_2d) |
58 |
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59 |
real alpha3p4(ip1jmp1) |
real alpha3p4((iim + 1) * (jjm + 1)) |
60 |
real alpha3p4_2d(iim + 1, jjm + 1) |
real alpha3p4_2d(iim + 1, jjm + 1) |
61 |
equivalence (alpha3p4, alpha3p4_2d) |
equivalence (alpha3p4, alpha3p4_2d) |
62 |
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63 |
real fext_2d(iim + 1, jjm), constang_2d(iim + 1, jjm + 1) |
real fext_2d(iim + 1, jjm), constang_2d(iim + 1, jjm + 1) |
64 |
real fext(ip1jm), constang(ip1jmp1) |
real fext((iim + 1) * jjm), constang((iim + 1) * (jjm + 1)) |
65 |
equivalence (fext, fext_2d), (constang, constang_2d) |
equivalence (fext, fext_2d), (constang, constang_2d) |
66 |
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67 |
real rlatu(jjm + 1) |
real rlatu(jjm + 1) |
76 |
! (longitudes of points of the "scalar" and "v" grid, in rad) |
! (longitudes of points of the "scalar" and "v" grid, in rad) |
77 |
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78 |
real cuvsurcv_2d(iim + 1, jjm), cvsurcuv_2d(iim + 1, jjm) ! no dimension |
real cuvsurcv_2d(iim + 1, jjm), cvsurcuv_2d(iim + 1, jjm) ! no dimension |
79 |
real cuvsurcv(ip1jm), cvsurcuv(ip1jm) ! no dimension |
real cuvsurcv((iim + 1) * jjm), cvsurcuv((iim + 1) * jjm) ! no dimension |
80 |
equivalence (cuvsurcv, cuvsurcv_2d), (cvsurcuv, cvsurcuv_2d) |
equivalence (cuvsurcv, cuvsurcv_2d), (cvsurcuv, cvsurcuv_2d) |
81 |
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82 |
real cvusurcu_2d(iim + 1, jjm + 1), cusurcvu_2d(iim + 1, jjm + 1) |
real cvusurcu_2d(iim + 1, jjm + 1), cusurcvu_2d(iim + 1, jjm + 1) |
83 |
! no dimension |
! no dimension |
84 |
real cvusurcu(ip1jmp1), cusurcvu(ip1jmp1) ! no dimension |
real cvusurcu((iim + 1) * (jjm + 1)), cusurcvu((iim + 1) * (jjm + 1)) |
85 |
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! no dimension |
86 |
equivalence (cvusurcu, cvusurcu_2d), (cusurcvu, cusurcvu_2d) |
equivalence (cvusurcu, cvusurcu_2d), (cusurcvu, cusurcvu_2d) |
87 |
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88 |
real cuvscvgam1_2d(iim + 1, jjm) |
real cuvscvgam1_2d(iim + 1, jjm) |
89 |
real cuvscvgam1(ip1jm) |
real cuvscvgam1((iim + 1) * jjm) |
90 |
equivalence (cuvscvgam1, cuvscvgam1_2d) |
equivalence (cuvscvgam1, cuvscvgam1_2d) |
91 |
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92 |
real cuvscvgam2_2d(iim + 1, jjm), cvuscugam1_2d(iim + 1, jjm + 1) |
real cuvscvgam2_2d(iim + 1, jjm), cvuscugam1_2d(iim + 1, jjm + 1) |
93 |
real cuvscvgam2(ip1jm), cvuscugam1(ip1jmp1) |
real cuvscvgam2((iim + 1) * jjm), cvuscugam1((iim + 1) * (jjm + 1)) |
94 |
equivalence (cuvscvgam2, cuvscvgam2_2d), (cvuscugam1, cvuscugam1_2d) |
equivalence (cuvscvgam2, cuvscvgam2_2d), (cvuscugam1, cvuscugam1_2d) |
95 |
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96 |
real cvuscugam2_2d(iim + 1, jjm + 1), cvscuvgam_2d(iim + 1, jjm) |
real cvuscugam2_2d(iim + 1, jjm + 1), cvscuvgam_2d(iim + 1, jjm) |
97 |
real cvuscugam2(ip1jmp1), cvscuvgam(ip1jm) |
real cvuscugam2((iim + 1) * (jjm + 1)), cvscuvgam((iim + 1) * jjm) |
98 |
equivalence (cvuscugam2, cvuscugam2_2d), (cvscuvgam, cvscuvgam_2d) |
equivalence (cvuscugam2, cvuscugam2_2d), (cvscuvgam, cvscuvgam_2d) |
99 |
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100 |
real cuscvugam(ip1jmp1) |
real cuscvugam((iim + 1) * (jjm + 1)) |
101 |
real cuscvugam_2d(iim + 1, jjm + 1) |
real cuscvugam_2d(iim + 1, jjm + 1) |
102 |
equivalence (cuscvugam, cuscvugam_2d) |
equivalence (cuscvugam, cuscvugam_2d) |
103 |
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104 |
real unsapolnga1, unsapolnga2, unsapolsga1, unsapolsga2 |
real unsapolnga1, unsapolnga2, unsapolsga1, unsapolsga2 |
105 |
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106 |
real unsair_gam1_2d(iim + 1, jjm + 1), unsair_gam2_2d(iim + 1, jjm + 1) |
real unsair_gam1_2d(iim + 1, jjm + 1), unsair_gam2_2d(iim + 1, jjm + 1) |
107 |
real unsair_gam1(ip1jmp1), unsair_gam2(ip1jmp1) |
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) |
equivalence (unsair_gam1, unsair_gam1_2d), (unsair_gam2, unsair_gam2_2d) |
109 |
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110 |
real unsairz_gam_2d(iim + 1, jjm) |
real unsairz_gam_2d(iim + 1, jjm) |
111 |
real unsairz_gam(ip1jm) |
real unsairz_gam((iim + 1) * jjm) |
112 |
equivalence (unsairz_gam, unsairz_gam_2d) |
equivalence (unsairz_gam, unsairz_gam_2d) |
113 |
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114 |
real xprimu(iim + 1), xprimv(iim + 1) |
real xprimu(iim + 1), xprimv(iim + 1) |
124 |
! Calcul des élongations cuij1, ..., cuij4, cvij1, ..., cvij4 aux mêmes |
! Calcul des élongations cuij1, ..., cuij4, cvij1, ..., cvij4 aux mêmes |
125 |
! endroits que les aires aireij1_2d, ..., aireij4_2d. |
! endroits que les aires aireij1_2d, ..., aireij4_2d. |
126 |
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127 |
! Choix entre une fonction "f(y)" à dérivée sinusoïdale ou à |
! Fonction "f(y)" à dérivée tangente hyperbolique. Calcul des |
128 |
! dérivée tangente hyperbolique. Calcul des coefficients cu_2d, |
! coefficients cu_2d, cv_2d, 1. / cu_2d**2, 1. / cv_2d**2. Les |
129 |
! cv_2d, 1. / cu_2d**2, 1. / cv_2d**2. Les coefficients cu_2d et cv_2d |
! coefficients cu_2d et cv_2d permettent de passer des vitesses |
130 |
! permettent de passer des vitesses naturelles aux vitesses |
! naturelles aux vitesses covariantes et contravariantes, ou |
131 |
! covariantes et contravariantes, ou vice-versa. |
! vice-versa. |
132 |
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133 |
! On a : |
! On a : |
134 |
! u(covariant) = cu_2d * u(naturel), u(contravariant) = u(naturel) / cu_2d |
! u(covariant) = cu_2d * u(naturel), u(contravariant) = u(naturel) / cu_2d |
163 |
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164 |
USE comconst, ONLY : g, omeg, rad |
USE comconst, ONLY : g, omeg, rad |
165 |
USE comdissnew, ONLY : coefdis, nitergdiv, nitergrot, niterh |
USE comdissnew, ONLY : coefdis, nitergdiv, nitergrot, niterh |
166 |
use conf_gcm_m, ONLY : fxyhypb, ysinus |
use fxhyp_m, only: fxhyp |
167 |
USE dimens_m, ONLY : iim, jjm |
use fyhyp_m, only: fyhyp |
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use fxy_m, only: fxy |
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use fxyhyper_m, only: fxyhyper |
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168 |
use jumble, only: new_unit |
use jumble, only: new_unit |
169 |
use nr_util, only: pi |
use nr_util, only: pi |
170 |
USE paramet_m, ONLY : iip1, jjp1 |
USE paramet_m, ONLY : iip1, jjp1 |
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USE serre, ONLY : alphax, alphay, clat, clon, dzoomx, dzoomy, grossismx, & |
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grossismy, pxo, pyo, taux, tauy, transx, transy |
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! Modifies pxo, pyo, transx, transy |
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! Variables locales |
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171 |
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172 |
INTEGER i, j, itmax, itmay, iter, unit |
! Local: |
173 |
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INTEGER i, j, unit |
174 |
REAL cvu(iip1, jjp1), cuv(iip1, jjm) |
REAL cvu(iip1, jjp1), cuv(iip1, jjm) |
175 |
REAL ai14, ai23, airez, un4rad2 |
REAL ai14, ai23, airez, un4rad2 |
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REAL eps, x1, xo1, f, df, xdm, y1, yo1, ydm |
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176 |
REAL coslatm, coslatp, radclatm, radclatp |
REAL coslatm, coslatp, radclatm, radclatp |
177 |
REAL, dimension(iip1, jjp1):: cuij1, cuij2, cuij3, cuij4 ! in m |
REAL, dimension(iip1, jjp1):: cuij1, cuij2, cuij3, cuij4 ! in m |
178 |
REAL, dimension(iip1, jjp1):: cvij1, cvij2, cvij3, cvij4 ! in m |
REAL, dimension(iip1, jjp1):: cvij1, cvij2, cvij3, cvij4 ! in m |
179 |
REAL rlatu1(jjm), yprimu1(jjm), rlatu2(jjm), yprimu2(jjm) |
REAL rlatu1(jjm), yprimu1(jjm), rlatu2(jjm), yprimu2(jjm) |
180 |
real yprimv(jjm), yprimu(jjp1) |
real yprimu(jjp1) |
181 |
REAL gamdi_gdiv, gamdi_grot, gamdi_h |
REAL gamdi_gdiv, gamdi_grot, gamdi_h |
182 |
REAL rlonm025(iip1), xprimm025(iip1), rlonp025(iip1), xprimp025(iip1) |
REAL xprimm025(iip1), xprimp025(iip1) |
183 |
real, dimension(iim + 1, jjm + 1):: aireij1_2d, aireij2_2d, aireij3_2d, & |
real, dimension(iim + 1, jjm + 1):: aireij1_2d, aireij2_2d, aireij3_2d, & |
184 |
aireij4_2d ! in m2 |
aireij4_2d ! in m2 |
185 |
real airuscv2_2d(iim + 1, jjm) |
real airuscv2_2d(iim + 1, jjm) |
190 |
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191 |
PRINT *, 'Call sequence information: inigeom' |
PRINT *, 'Call sequence information: inigeom' |
192 |
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193 |
IF (nitergdiv/=2) THEN |
IF (nitergdiv /= 2) THEN |
194 |
gamdi_gdiv = coefdis / (real(nitergdiv)-2.) |
gamdi_gdiv = coefdis / (nitergdiv - 2) |
195 |
ELSE |
ELSE |
196 |
gamdi_gdiv = 0. |
gamdi_gdiv = 0. |
197 |
END IF |
END IF |
198 |
IF (nitergrot/=2) THEN |
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199 |
gamdi_grot = coefdis / (real(nitergrot)-2.) |
IF (nitergrot /= 2) THEN |
200 |
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gamdi_grot = coefdis / (nitergrot - 2) |
201 |
ELSE |
ELSE |
202 |
gamdi_grot = 0. |
gamdi_grot = 0. |
203 |
END IF |
END IF |
204 |
IF (niterh/=2) THEN |
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205 |
gamdi_h = coefdis / (real(niterh)-2.) |
IF (niterh /= 2) THEN |
206 |
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gamdi_h = coefdis / (niterh - 2) |
207 |
ELSE |
ELSE |
208 |
gamdi_h = 0. |
gamdi_h = 0. |
209 |
END IF |
END IF |
212 |
print *, "gamdi_grot = ", gamdi_grot |
print *, "gamdi_grot = ", gamdi_grot |
213 |
print *, "gamdi_h = ", gamdi_h |
print *, "gamdi_h = ", gamdi_h |
214 |
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215 |
IF (.NOT. fxyhypb) THEN |
CALL fyhyp(rlatu, yprimu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1) |
216 |
IF (ysinus) THEN |
CALL fxhyp(xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025) |
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print *, ' Inigeom, Y = Sinus (Latitude) ' |
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! utilisation de f(x, y) avec y = sinus de la latitude |
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CALL fxysinus(rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, & |
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rlatu2, yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, & |
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xprimm025, rlonp025, xprimp025) |
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ELSE |
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print *, 'Inigeom, Y = Latitude, der. sinusoid .' |
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! utilisation de f(x, y) a tangente sinusoidale, y etant la latit |
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pxo = clon * pi / 180. |
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pyo = 2. * clat * pi / 180. |
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! determination de transx (pour le zoom) par Newton-Raphson |
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itmax = 10 |
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eps = .1E-7 |
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xo1 = 0. |
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DO iter = 1, itmax |
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x1 = xo1 |
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f = x1 + alphax * sin(x1-pxo) |
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df = 1. + alphax * cos(x1-pxo) |
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x1 = x1 - f / df |
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xdm = abs(x1-xo1) |
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IF (xdm<=eps) EXIT |
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xo1 = x1 |
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END DO |
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transx = xo1 |
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itmay = 10 |
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eps = .1E-7 |
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yo1 = 0. |
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DO iter = 1, itmay |
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y1 = yo1 |
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f = y1 + alphay * sin(y1-pyo) |
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df = 1. + alphay * cos(y1-pyo) |
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y1 = y1 - f / df |
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ydm = abs(y1-yo1) |
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IF (ydm<=eps) EXIT |
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yo1 = y1 |
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END DO |
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transy = yo1 |
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CALL fxy(rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, rlatu2, & |
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yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, xprimm025, & |
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rlonp025, xprimp025) |
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END IF |
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ELSE |
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! Utilisation de fxyhyper, f(x, y) à dérivée tangente hyperbolique |
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print *, 'Inigeom, Y = Latitude, dérivée tangente hyperbolique' |
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CALL fxyhyper(clat, grossismy, dzoomy, tauy, clon, grossismx, dzoomx, & |
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taux, rlatu, yprimu, rlatv, yprimv, rlatu1, yprimu1, rlatu2, & |
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yprimu2, rlonu, xprimu, rlonv, xprimv, rlonm025, xprimm025, & |
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rlonp025, xprimp025) |
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END IF |
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217 |
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218 |
rlatu(1) = pi / 2. |
rlatu(1) = pi / 2. |
219 |
rlatu(jjp1) = -rlatu(1) |
rlatu(jjp1) = -rlatu(1) |
469 |
END DO |
END DO |
470 |
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471 |
! Périodicité en longitude |
! Périodicité en longitude |
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DO j = 1, jjm |
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fext_2d(iip1, j) = fext_2d(1, j) |
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END DO |
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472 |
DO j = 1, jjp1 |
DO j = 1, jjp1 |
473 |
constang_2d(iip1, j) = constang_2d(1, j) |
constang_2d(iip1, j) = constang_2d(1, j) |
474 |
END DO |
END DO |