| 1 |
module fyhyp_m |
| 2 |
|
| 3 |
IMPLICIT NONE |
| 4 |
|
| 5 |
contains |
| 6 |
|
| 7 |
SUBROUTINE fyhyp(yzoomdeg, grossism, dzooma, tau, rrlatu, yyprimu, rrlatv, & |
| 8 |
yyprimv, rlatu2, yprimu2, rlatu1, yprimu1, champmin, champmax) |
| 9 |
|
| 10 |
! From LMDZ4/libf/dyn3d/fyhyp.F, version 1.2, 2005/06/03 09:11:32 |
| 11 |
|
| 12 |
! Author: P. Le Van, from analysis by R. Sadourny |
| 13 |
|
| 14 |
! Calcule les latitudes et dérivées dans la grille du GCM pour une |
| 15 |
! fonction f(y) tangente hyperbolique. |
| 16 |
|
| 17 |
! Nota bene : il vaut mieux avoir grossism * dzoom < pi / 2 (rad), |
| 18 |
! en latitude. |
| 19 |
|
| 20 |
USE dimens_m, only: jjm |
| 21 |
|
| 22 |
REAL, intent(in):: yzoomdeg |
| 23 |
|
| 24 |
REAL, intent(in):: grossism |
| 25 |
! grossissement (= 2 si 2 fois, = 3 si 3 fois, etc.) |
| 26 |
|
| 27 |
REAL, intent(in):: dzooma |
| 28 |
|
| 29 |
REAL, intent(in):: tau |
| 30 |
! raideur de la transition de l'intérieur à l'extérieur du zoom |
| 31 |
|
| 32 |
! arguments de sortie |
| 33 |
|
| 34 |
REAL, intent(out):: rrlatu(jjm + 1), yyprimu(jjm + 1) |
| 35 |
REAL, intent(out):: rrlatv(jjm), yyprimv(jjm) |
| 36 |
real, intent(out):: rlatu2(jjm), yprimu2(jjm), rlatu1(jjm), yprimu1(jjm) |
| 37 |
DOUBLE PRECISION, intent(out):: champmin, champmax |
| 38 |
|
| 39 |
! Local: |
| 40 |
|
| 41 |
INTEGER, PARAMETER:: nmax=30000, nmax2=2*nmax |
| 42 |
REAL dzoom ! distance totale de la zone du zoom (en radians) |
| 43 |
DOUBLE PRECISION ylat(jjm + 1), yprim(jjm + 1) |
| 44 |
DOUBLE PRECISION yuv |
| 45 |
DOUBLE PRECISION, save:: yt(0:nmax2) |
| 46 |
DOUBLE PRECISION fhyp(0:nmax2), beta |
| 47 |
DOUBLE PRECISION, save:: ytprim(0:nmax2) |
| 48 |
DOUBLE PRECISION fxm(0:nmax2) |
| 49 |
DOUBLE PRECISION, save:: yf(0:nmax2) |
| 50 |
DOUBLE PRECISION yypr(0:nmax2) |
| 51 |
DOUBLE PRECISION yvrai(jjm + 1), yprimm(jjm + 1), ylatt(jjm + 1) |
| 52 |
DOUBLE PRECISION pi, pis2, epsilon, y0, pisjm |
| 53 |
DOUBLE PRECISION yo1, yi, ylon2, ymoy, yprimin |
| 54 |
DOUBLE PRECISION yfi, yf1, ffdy |
| 55 |
DOUBLE PRECISION ypn, deply, y00 |
| 56 |
SAVE y00, deply |
| 57 |
|
| 58 |
INTEGER i, j, it, ik, iter, jlat |
| 59 |
INTEGER jpn, jjpn |
| 60 |
SAVE jpn |
| 61 |
DOUBLE PRECISION a0, a1, a2, a3, yi2, heavyy0, heavyy0m |
| 62 |
DOUBLE PRECISION fa(0:nmax2), fb(0:nmax2) |
| 63 |
REAL y0min, y0max |
| 64 |
|
| 65 |
DOUBLE PRECISION heavyside |
| 66 |
|
| 67 |
!------------------------------------------------------------------- |
| 68 |
|
| 69 |
pi = 2.*asin(1.) |
| 70 |
pis2 = pi/2. |
| 71 |
pisjm = pi/real(jjm) |
| 72 |
epsilon = 1e-3 |
| 73 |
y0 = yzoomdeg*pi/180. |
| 74 |
|
| 75 |
IF (dzooma<1.) THEN |
| 76 |
dzoom = dzooma*pi |
| 77 |
ELSE IF (dzooma<12.) THEN |
| 78 |
print *, "Le paramètre dzoomy pour fyhyp est trop petit. L'augmenter " & |
| 79 |
// "et relancer." |
| 80 |
STOP 1 |
| 81 |
ELSE |
| 82 |
dzoom = dzooma * pi/180. |
| 83 |
END IF |
| 84 |
|
| 85 |
print *, 'yzoom(rad), grossism, tau, dzoom (rad):' |
| 86 |
print *, y0, grossism, tau, dzoom |
| 87 |
|
| 88 |
DO i = 0, nmax2 |
| 89 |
yt(i) = -pis2 + real(i)*pi/nmax2 |
| 90 |
END DO |
| 91 |
|
| 92 |
heavyy0m = heavyside(-y0) |
| 93 |
heavyy0 = heavyside(y0) |
| 94 |
y0min = 2.*y0*heavyy0m - pis2 |
| 95 |
y0max = 2.*y0*heavyy0 + pis2 |
| 96 |
|
| 97 |
fa = 999.999 |
| 98 |
fb = 999.999 |
| 99 |
|
| 100 |
DO i = 0, nmax2 |
| 101 |
IF (yt(i)<y0) THEN |
| 102 |
fa(i) = tau*(yt(i)-y0 + dzoom/2.) |
| 103 |
fb(i) = (yt(i)-2.*y0*heavyy0m + pis2)*(y0-yt(i)) |
| 104 |
ELSE IF (yt(i)>y0) THEN |
| 105 |
fa(i) = tau*(y0-yt(i) + dzoom/2.) |
| 106 |
fb(i) = (2.*y0*heavyy0-yt(i) + pis2)*(yt(i)-y0) |
| 107 |
END IF |
| 108 |
|
| 109 |
IF (200.*fb(i)<-fa(i)) THEN |
| 110 |
fhyp(i) = -1. |
| 111 |
ELSE IF (200.*fb(i)<fa(i)) THEN |
| 112 |
fhyp(i) = 1. |
| 113 |
ELSE |
| 114 |
fhyp(i) = tanh(fa(i)/fb(i)) |
| 115 |
END IF |
| 116 |
|
| 117 |
IF (yt(i)==y0) fhyp(i) = 1. |
| 118 |
IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1. |
| 119 |
END DO |
| 120 |
|
| 121 |
! Calcul de beta |
| 122 |
|
| 123 |
ffdy = 0. |
| 124 |
|
| 125 |
DO i = 1, nmax2 |
| 126 |
ymoy = 0.5*(yt(i-1) + yt(i)) |
| 127 |
IF (ymoy<y0) THEN |
| 128 |
fa(i) = tau*(ymoy-y0 + dzoom/2.) |
| 129 |
fb(i) = (ymoy-2.*y0*heavyy0m + pis2)*(y0-ymoy) |
| 130 |
ELSE IF (ymoy>y0) THEN |
| 131 |
fa(i) = tau*(y0-ymoy + dzoom/2.) |
| 132 |
fb(i) = (2.*y0*heavyy0-ymoy + pis2)*(ymoy-y0) |
| 133 |
END IF |
| 134 |
|
| 135 |
IF (200.*fb(i)<-fa(i)) THEN |
| 136 |
fxm(i) = -1. |
| 137 |
ELSE IF (200.*fb(i)<fa(i)) THEN |
| 138 |
fxm(i) = 1. |
| 139 |
ELSE |
| 140 |
fxm(i) = tanh(fa(i)/fb(i)) |
| 141 |
END IF |
| 142 |
IF (ymoy==y0) fxm(i) = 1. |
| 143 |
IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1. |
| 144 |
ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1)) |
| 145 |
END DO |
| 146 |
|
| 147 |
beta = (grossism*ffdy-pi)/(ffdy-pi) |
| 148 |
|
| 149 |
IF (2. * beta - grossism <= 0.) THEN |
| 150 |
print *, 'Attention ! La valeur beta calculee dans la routine fyhyp ' & |
| 151 |
// 'est mauvaise. Modifier les valeurs de grossismy, tauy ou ' & |
| 152 |
// 'dzoomy et relancer.' |
| 153 |
STOP 1 |
| 154 |
END IF |
| 155 |
|
| 156 |
! calcul de Ytprim |
| 157 |
|
| 158 |
DO i = 0, nmax2 |
| 159 |
ytprim(i) = beta + (grossism-beta)*fhyp(i) |
| 160 |
END DO |
| 161 |
|
| 162 |
! Calcul de Yf |
| 163 |
|
| 164 |
yf(0) = -pis2 |
| 165 |
DO i = 1, nmax2 |
| 166 |
yypr(i) = beta + (grossism-beta)*fxm(i) |
| 167 |
END DO |
| 168 |
|
| 169 |
DO i = 1, nmax2 |
| 170 |
yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1)) |
| 171 |
END DO |
| 172 |
|
| 173 |
! yuv = 0. si calcul des latitudes aux pts. U |
| 174 |
! yuv = 0.5 si calcul des latitudes aux pts. V |
| 175 |
|
| 176 |
loop_ik: DO ik = 1, 4 |
| 177 |
IF (ik==1) THEN |
| 178 |
yuv = 0. |
| 179 |
jlat = jjm + 1 |
| 180 |
ELSE IF (ik==2) THEN |
| 181 |
yuv = 0.5 |
| 182 |
jlat = jjm |
| 183 |
ELSE IF (ik==3) THEN |
| 184 |
yuv = 0.25 |
| 185 |
jlat = jjm |
| 186 |
ELSE IF (ik==4) THEN |
| 187 |
yuv = 0.75 |
| 188 |
jlat = jjm |
| 189 |
END IF |
| 190 |
|
| 191 |
yo1 = 0. |
| 192 |
DO j = 1, jlat |
| 193 |
yo1 = 0. |
| 194 |
ylon2 = -pis2 + pisjm*(real(j) + yuv-1.) |
| 195 |
yfi = ylon2 |
| 196 |
|
| 197 |
it = nmax2 |
| 198 |
DO while (it >= 1 .and. yfi < yf(it)) |
| 199 |
it = it - 1 |
| 200 |
END DO |
| 201 |
|
| 202 |
yi = yt(it) |
| 203 |
IF (it==nmax2) THEN |
| 204 |
it = nmax2 - 1 |
| 205 |
yf(it + 1) = pis2 |
| 206 |
END IF |
| 207 |
|
| 208 |
! Interpolation entre yi(it) et yi(it + 1) pour avoir Y(yi) |
| 209 |
! et Y'(yi) |
| 210 |
|
| 211 |
CALL coefpoly(yf(it), yf(it + 1), ytprim(it), ytprim(it + 1), & |
| 212 |
yt(it), yt(it + 1), a0, a1, a2, a3) |
| 213 |
|
| 214 |
yf1 = yf(it) |
| 215 |
yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
| 216 |
|
| 217 |
iter = 1 |
| 218 |
DO |
| 219 |
yi = yi - (yf1-yfi)/yprimin |
| 220 |
IF (abs(yi-yo1)<=epsilon .or. iter == 300) exit |
| 221 |
yo1 = yi |
| 222 |
yi2 = yi*yi |
| 223 |
yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi |
| 224 |
yprimin = a1 + 2.*a2*yi + 3.*a3*yi2 |
| 225 |
END DO |
| 226 |
if (abs(yi-yo1) > epsilon) then |
| 227 |
print *, 'Pas de solution.', j, ylon2 |
| 228 |
STOP 1 |
| 229 |
end if |
| 230 |
|
| 231 |
yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
| 232 |
yprim(j) = pi/(jjm*yprimin) |
| 233 |
yvrai(j) = yi |
| 234 |
END DO |
| 235 |
|
| 236 |
DO j = 1, jlat - 1 |
| 237 |
IF (yvrai(j + 1)<yvrai(j)) THEN |
| 238 |
print *, 'Problème avec rlat(', j + 1, ') plus petit que rlat(', & |
| 239 |
j, ')' |
| 240 |
STOP 1 |
| 241 |
END IF |
| 242 |
END DO |
| 243 |
|
| 244 |
print *, 'Reorganisation des latitudes pour avoir entre - pi/2 et pi/2' |
| 245 |
|
| 246 |
IF (ik==1) THEN |
| 247 |
ypn = pis2 |
| 248 |
DO j = jjm + 1, 1, -1 |
| 249 |
IF (yvrai(j)<=ypn) exit |
| 250 |
END DO |
| 251 |
|
| 252 |
jpn = j |
| 253 |
y00 = yvrai(jpn) |
| 254 |
deply = pis2 - y00 |
| 255 |
END IF |
| 256 |
|
| 257 |
DO j = 1, jjm + 1 - jpn |
| 258 |
ylatt(j) = -pis2 - y00 + yvrai(jpn + j-1) |
| 259 |
yprimm(j) = yprim(jpn + j-1) |
| 260 |
END DO |
| 261 |
|
| 262 |
jjpn = jpn |
| 263 |
IF (jlat==jjm) jjpn = jpn - 1 |
| 264 |
|
| 265 |
DO j = 1, jjpn |
| 266 |
ylatt(j + jjm + 1-jpn) = yvrai(j) + deply |
| 267 |
yprimm(j + jjm + 1-jpn) = yprim(j) |
| 268 |
END DO |
| 269 |
|
| 270 |
! Fin de la reorganisation |
| 271 |
|
| 272 |
DO j = 1, jlat |
| 273 |
ylat(j) = ylatt(jlat + 1-j) |
| 274 |
yprim(j) = yprimm(jlat + 1-j) |
| 275 |
END DO |
| 276 |
|
| 277 |
DO j = 1, jlat |
| 278 |
yvrai(j) = ylat(j)*180./pi |
| 279 |
END DO |
| 280 |
|
| 281 |
IF (ik==1) THEN |
| 282 |
DO j = 1, jjm + 1 |
| 283 |
rrlatu(j) = ylat(j) |
| 284 |
yyprimu(j) = yprim(j) |
| 285 |
END DO |
| 286 |
ELSE IF (ik==2) THEN |
| 287 |
DO j = 1, jjm |
| 288 |
rrlatv(j) = ylat(j) |
| 289 |
yyprimv(j) = yprim(j) |
| 290 |
END DO |
| 291 |
ELSE IF (ik==3) THEN |
| 292 |
DO j = 1, jjm |
| 293 |
rlatu2(j) = ylat(j) |
| 294 |
yprimu2(j) = yprim(j) |
| 295 |
END DO |
| 296 |
ELSE IF (ik==4) THEN |
| 297 |
DO j = 1, jjm |
| 298 |
rlatu1(j) = ylat(j) |
| 299 |
yprimu1(j) = yprim(j) |
| 300 |
END DO |
| 301 |
END IF |
| 302 |
END DO loop_ik |
| 303 |
|
| 304 |
DO j = 1, jjm |
| 305 |
ylat(j) = rrlatu(j) - rrlatu(j + 1) |
| 306 |
END DO |
| 307 |
champmin = 1e12 |
| 308 |
champmax = -1e12 |
| 309 |
DO j = 1, jjm |
| 310 |
champmin = min(champmin, ylat(j)) |
| 311 |
champmax = max(champmax, ylat(j)) |
| 312 |
END DO |
| 313 |
champmin = champmin*180./pi |
| 314 |
champmax = champmax*180./pi |
| 315 |
|
| 316 |
END SUBROUTINE fyhyp |
| 317 |
|
| 318 |
end module fyhyp_m |
Parent Directory
| 
Revision Log