| 1 | module fyhyp_m |
|---|
| 2 | |
|---|
| 3 | IMPLICIT NONE |
|---|
| 4 | |
|---|
| 5 | contains |
|---|
| 6 | |
|---|
| 7 | SUBROUTINE fyhyp(rlatu, yyprimu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1) |
|---|
| 8 | |
|---|
| 9 | ! From LMDZ4/libf/dyn3d/fyhyp.F, version 1.2, 2005/06/03 09:11:32 |
|---|
| 10 | |
|---|
| 11 | ! Author: P. Le Van, from analysis by R. Sadourny |
|---|
| 12 | |
|---|
| 13 | ! Calcule les latitudes et dérivées dans la grille du GCM pour une |
|---|
| 14 | ! fonction f(y) à dérivée tangente hyperbolique. |
|---|
| 15 | |
|---|
| 16 | ! Il vaut mieux avoir : grossismy * dzoom < pi / 2 |
|---|
| 17 | |
|---|
| 18 | use coefpoly_m, only: coefpoly |
|---|
| 19 | use nrtype, only: k8 |
|---|
| 20 | use serre_mod, only: clat, grossismy, dzoomy, tauy |
|---|
| 21 | USE dimensions_mod, ONLY: iim, jjm, llm, ndm |
|---|
| 22 | |
|---|
| 23 | REAL, intent(out):: rlatu(jjm + 1), yyprimu(jjm + 1) |
|---|
| 24 | REAL, intent(out):: rlatv(jjm) |
|---|
| 25 | real, intent(out):: rlatu2(jjm), yprimu2(jjm), rlatu1(jjm), yprimu1(jjm) |
|---|
| 26 | |
|---|
| 27 | ! Local: |
|---|
| 28 | |
|---|
| 29 | REAL(K8) champmin, champmax |
|---|
| 30 | INTEGER, PARAMETER:: nmax=30000, nmax2=2*nmax |
|---|
| 31 | REAL dzoom ! distance totale de la zone du zoom (en radians) |
|---|
| 32 | REAL(K8) ylat(jjm + 1), yprim(jjm + 1) |
|---|
| 33 | REAL(K8) yuv |
|---|
| 34 | REAL(K8), save:: yt(0:nmax2) |
|---|
| 35 | REAL(K8) fhyp(0:nmax2), beta |
|---|
| 36 | REAL(K8), save:: ytprim(0:nmax2) |
|---|
| 37 | REAL(K8) fxm(0:nmax2) |
|---|
| 38 | REAL(K8), save:: yf(0:nmax2) |
|---|
| 39 | REAL(K8) yypr(0:nmax2) |
|---|
| 40 | REAL(K8) yvrai(jjm + 1), yprimm(jjm + 1), ylatt(jjm + 1) |
|---|
| 41 | REAL(K8) pi, pis2, epsilon, y0, pisjm |
|---|
| 42 | REAL(K8) yo1, yi, ylon2, ymoy, yprimin |
|---|
| 43 | REAL(K8) yfi, yf1, ffdy |
|---|
| 44 | REAL(K8) ypn, deply, y00 |
|---|
| 45 | SAVE y00, deply |
|---|
| 46 | |
|---|
| 47 | INTEGER i, j, it, ik, iter, jlat |
|---|
| 48 | INTEGER jpn, jjpn |
|---|
| 49 | SAVE jpn |
|---|
| 50 | REAL(K8) a0, a1, a2, a3, yi2, heavyy0, heavyy0m |
|---|
| 51 | REAL(K8) fa(0:nmax2), fb(0:nmax2) |
|---|
| 52 | REAL y0min, y0max |
|---|
| 53 | |
|---|
| 54 | REAL(K8) heavyside |
|---|
| 55 | |
|---|
| 56 | !------------------------------------------------------------------- |
|---|
| 57 | |
|---|
| 58 | print *, "Call sequence information: fyhyp" |
|---|
| 59 | |
|---|
| 60 | pi = 2.*asin(1.) |
|---|
| 61 | pis2 = pi/2. |
|---|
| 62 | pisjm = pi/real(jjm) |
|---|
| 63 | epsilon = 1e-3 |
|---|
| 64 | y0 = clat*pi/180. |
|---|
| 65 | dzoom = dzoomy*pi |
|---|
| 66 | print *, 'yzoom(rad), grossismy, tauy, dzoom (rad):' |
|---|
| 67 | print *, y0, grossismy, tauy, dzoom |
|---|
| 68 | |
|---|
| 69 | DO i = 0, nmax2 |
|---|
| 70 | yt(i) = -pis2 + real(i)*pi/nmax2 |
|---|
| 71 | END DO |
|---|
| 72 | |
|---|
| 73 | heavyy0m = heavyside(-y0) |
|---|
| 74 | heavyy0 = heavyside(y0) |
|---|
| 75 | y0min = 2.*y0*heavyy0m - pis2 |
|---|
| 76 | y0max = 2.*y0*heavyy0 + pis2 |
|---|
| 77 | |
|---|
| 78 | fa = 999.999 |
|---|
| 79 | fb = 999.999 |
|---|
| 80 | |
|---|
| 81 | DO i = 0, nmax2 |
|---|
| 82 | IF (yt(i)<y0) THEN |
|---|
| 83 | fa(i) = tauy*(yt(i)-y0 + dzoom/2.) |
|---|
| 84 | fb(i) = (yt(i)-2.*y0*heavyy0m + pis2)*(y0-yt(i)) |
|---|
| 85 | ELSE IF (yt(i)>y0) THEN |
|---|
| 86 | fa(i) = tauy*(y0-yt(i) + dzoom/2.) |
|---|
| 87 | fb(i) = (2.*y0*heavyy0-yt(i) + pis2)*(yt(i)-y0) |
|---|
| 88 | END IF |
|---|
| 89 | |
|---|
| 90 | IF (200.*fb(i)<-fa(i)) THEN |
|---|
| 91 | fhyp(i) = -1. |
|---|
| 92 | ELSE IF (200.*fb(i)<fa(i)) THEN |
|---|
| 93 | fhyp(i) = 1. |
|---|
| 94 | ELSE |
|---|
| 95 | fhyp(i) = tanh(fa(i)/fb(i)) |
|---|
| 96 | END IF |
|---|
| 97 | |
|---|
| 98 | IF (yt(i)==y0) fhyp(i) = 1. |
|---|
| 99 | IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1. |
|---|
| 100 | END DO |
|---|
| 101 | |
|---|
| 102 | ! Calcul de beta |
|---|
| 103 | |
|---|
| 104 | ffdy = 0. |
|---|
| 105 | |
|---|
| 106 | DO i = 1, nmax2 |
|---|
| 107 | ymoy = 0.5*(yt(i-1) + yt(i)) |
|---|
| 108 | IF (ymoy<y0) THEN |
|---|
| 109 | fa(i) = tauy*(ymoy-y0 + dzoom/2.) |
|---|
| 110 | fb(i) = (ymoy-2.*y0*heavyy0m + pis2)*(y0-ymoy) |
|---|
| 111 | ELSE IF (ymoy>y0) THEN |
|---|
| 112 | fa(i) = tauy*(y0-ymoy + dzoom/2.) |
|---|
| 113 | fb(i) = (2.*y0*heavyy0-ymoy + pis2)*(ymoy-y0) |
|---|
| 114 | END IF |
|---|
| 115 | |
|---|
| 116 | IF (200.*fb(i)<-fa(i)) THEN |
|---|
| 117 | fxm(i) = -1. |
|---|
| 118 | ELSE IF (200.*fb(i)<fa(i)) THEN |
|---|
| 119 | fxm(i) = 1. |
|---|
| 120 | ELSE |
|---|
| 121 | fxm(i) = tanh(fa(i)/fb(i)) |
|---|
| 122 | END IF |
|---|
| 123 | IF (ymoy==y0) fxm(i) = 1. |
|---|
| 124 | IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1. |
|---|
| 125 | ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1)) |
|---|
| 126 | END DO |
|---|
| 127 | |
|---|
| 128 | beta = (grossismy*ffdy-pi)/(ffdy-pi) |
|---|
| 129 | |
|---|
| 130 | IF (2. * beta - grossismy <= 0.) THEN |
|---|
| 131 | print *, 'Attention ! La valeur beta calculee dans la routine fyhyp ' & |
|---|
| 132 | // 'est mauvaise. Modifier les valeurs de grossismy, tauy ou ' & |
|---|
| 133 | // 'dzoomy et relancer.' |
|---|
| 134 | STOP 1 |
|---|
| 135 | END IF |
|---|
| 136 | |
|---|
| 137 | ! calcul de Ytprim |
|---|
| 138 | |
|---|
| 139 | DO i = 0, nmax2 |
|---|
| 140 | ytprim(i) = beta + (grossismy-beta)*fhyp(i) |
|---|
| 141 | END DO |
|---|
| 142 | |
|---|
| 143 | ! Calcul de Yf |
|---|
| 144 | |
|---|
| 145 | yf(0) = -pis2 |
|---|
| 146 | DO i = 1, nmax2 |
|---|
| 147 | yypr(i) = beta + (grossismy-beta)*fxm(i) |
|---|
| 148 | END DO |
|---|
| 149 | |
|---|
| 150 | DO i = 1, nmax2 |
|---|
| 151 | yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1)) |
|---|
| 152 | END DO |
|---|
| 153 | |
|---|
| 154 | ! yuv = 0. si calcul des latitudes aux pts. U |
|---|
| 155 | ! yuv = 0.5 si calcul des latitudes aux pts. V |
|---|
| 156 | |
|---|
| 157 | loop_ik: DO ik = 1, 4 |
|---|
| 158 | IF (ik==1) THEN |
|---|
| 159 | yuv = 0. |
|---|
| 160 | jlat = jjm + 1 |
|---|
| 161 | ELSE IF (ik==2) THEN |
|---|
| 162 | yuv = 0.5 |
|---|
| 163 | jlat = jjm |
|---|
| 164 | ELSE IF (ik==3) THEN |
|---|
| 165 | yuv = 0.25 |
|---|
| 166 | jlat = jjm |
|---|
| 167 | ELSE IF (ik==4) THEN |
|---|
| 168 | yuv = 0.75 |
|---|
| 169 | jlat = jjm |
|---|
| 170 | END IF |
|---|
| 171 | |
|---|
| 172 | yo1 = 0. |
|---|
| 173 | DO j = 1, jlat |
|---|
| 174 | yo1 = 0. |
|---|
| 175 | ylon2 = -pis2 + pisjm*(real(j) + yuv-1.) |
|---|
| 176 | yfi = ylon2 |
|---|
| 177 | |
|---|
| 178 | it = nmax2 |
|---|
| 179 | DO while (it >= 1 .and. yfi < yf(it)) |
|---|
| 180 | it = it - 1 |
|---|
| 181 | END DO |
|---|
| 182 | |
|---|
| 183 | yi = yt(it) |
|---|
| 184 | IF (it==nmax2) THEN |
|---|
| 185 | it = nmax2 - 1 |
|---|
| 186 | yf(it + 1) = pis2 |
|---|
| 187 | END IF |
|---|
| 188 | |
|---|
| 189 | ! Interpolation entre yi(it) et yi(it + 1) pour avoir Y(yi) |
|---|
| 190 | ! et Y'(yi) |
|---|
| 191 | |
|---|
| 192 | CALL coefpoly(yf(it), yf(it + 1), ytprim(it), ytprim(it + 1), & |
|---|
| 193 | yt(it), yt(it + 1), a0, a1, a2, a3) |
|---|
| 194 | |
|---|
| 195 | yf1 = yf(it) |
|---|
| 196 | yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
|---|
| 197 | |
|---|
| 198 | iter = 1 |
|---|
| 199 | DO |
|---|
| 200 | yi = yi - (yf1-yfi)/yprimin |
|---|
| 201 | IF (abs(yi-yo1)<=epsilon .or. iter == 300) exit |
|---|
| 202 | yo1 = yi |
|---|
| 203 | yi2 = yi*yi |
|---|
| 204 | yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi |
|---|
| 205 | yprimin = a1 + 2.*a2*yi + 3.*a3*yi2 |
|---|
| 206 | END DO |
|---|
| 207 | if (abs(yi-yo1) > epsilon) then |
|---|
| 208 | print *, 'Pas de solution.', j, ylon2 |
|---|
| 209 | STOP 1 |
|---|
| 210 | end if |
|---|
| 211 | |
|---|
| 212 | yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
|---|
| 213 | yprim(j) = pi/(jjm*yprimin) |
|---|
| 214 | yvrai(j) = yi |
|---|
| 215 | END DO |
|---|
| 216 | |
|---|
| 217 | DO j = 1, jlat - 1 |
|---|
| 218 | IF (yvrai(j + 1)<yvrai(j)) THEN |
|---|
| 219 | print *, 'Problème avec rlat(', j + 1, ') plus petit que rlat(', & |
|---|
| 220 | j, ')' |
|---|
| 221 | STOP 1 |
|---|
| 222 | END IF |
|---|
| 223 | END DO |
|---|
| 224 | |
|---|
| 225 | print *, 'Reorganisation des latitudes pour avoir entre - pi/2 et pi/2' |
|---|
| 226 | |
|---|
| 227 | IF (ik==1) THEN |
|---|
| 228 | ypn = pis2 |
|---|
| 229 | DO j = jjm + 1, 1, -1 |
|---|
| 230 | IF (yvrai(j)<=ypn) exit |
|---|
| 231 | END DO |
|---|
| 232 | |
|---|
| 233 | jpn = j |
|---|
| 234 | y00 = yvrai(jpn) |
|---|
| 235 | deply = pis2 - y00 |
|---|
| 236 | END IF |
|---|
| 237 | |
|---|
| 238 | DO j = 1, jjm + 1 - jpn |
|---|
| 239 | ylatt(j) = -pis2 - y00 + yvrai(jpn + j-1) |
|---|
| 240 | yprimm(j) = yprim(jpn + j-1) |
|---|
| 241 | END DO |
|---|
| 242 | |
|---|
| 243 | jjpn = jpn |
|---|
| 244 | IF (jlat==jjm) jjpn = jpn - 1 |
|---|
| 245 | |
|---|
| 246 | DO j = 1, jjpn |
|---|
| 247 | ylatt(j + jjm + 1-jpn) = yvrai(j) + deply |
|---|
| 248 | yprimm(j + jjm + 1-jpn) = yprim(j) |
|---|
| 249 | END DO |
|---|
| 250 | |
|---|
| 251 | ! Fin de la reorganisation |
|---|
| 252 | |
|---|
| 253 | DO j = 1, jlat |
|---|
| 254 | ylat(j) = ylatt(jlat + 1-j) |
|---|
| 255 | yprim(j) = yprimm(jlat + 1-j) |
|---|
| 256 | END DO |
|---|
| 257 | |
|---|
| 258 | DO j = 1, jlat |
|---|
| 259 | yvrai(j) = ylat(j)*180./pi |
|---|
| 260 | END DO |
|---|
| 261 | |
|---|
| 262 | IF (ik==1) THEN |
|---|
| 263 | DO j = 1, jjm + 1 |
|---|
| 264 | rlatu(j) = ylat(j) |
|---|
| 265 | yyprimu(j) = yprim(j) |
|---|
| 266 | END DO |
|---|
| 267 | ELSE IF (ik==2) THEN |
|---|
| 268 | DO j = 1, jjm |
|---|
| 269 | rlatv(j) = ylat(j) |
|---|
| 270 | END DO |
|---|
| 271 | ELSE IF (ik==3) THEN |
|---|
| 272 | DO j = 1, jjm |
|---|
| 273 | rlatu2(j) = ylat(j) |
|---|
| 274 | yprimu2(j) = yprim(j) |
|---|
| 275 | END DO |
|---|
| 276 | ELSE IF (ik==4) THEN |
|---|
| 277 | DO j = 1, jjm |
|---|
| 278 | rlatu1(j) = ylat(j) |
|---|
| 279 | yprimu1(j) = yprim(j) |
|---|
| 280 | END DO |
|---|
| 281 | END IF |
|---|
| 282 | END DO loop_ik |
|---|
| 283 | |
|---|
| 284 | DO j = 1, jjm |
|---|
| 285 | ylat(j) = rlatu(j) - rlatu(j + 1) |
|---|
| 286 | END DO |
|---|
| 287 | champmin = 1e12 |
|---|
| 288 | champmax = -1e12 |
|---|
| 289 | DO j = 1, jjm |
|---|
| 290 | champmin = min(champmin, ylat(j)) |
|---|
| 291 | champmax = max(champmax, ylat(j)) |
|---|
| 292 | END DO |
|---|
| 293 | champmin = champmin*180./pi |
|---|
| 294 | champmax = champmax*180./pi |
|---|
| 295 | |
|---|
| 296 | DO j = 1, jjm |
|---|
| 297 | IF (rlatu1(j) <= rlatu2(j)) THEN |
|---|
| 298 | print *, 'Attention ! rlatu1 < rlatu2 ', rlatu1(j), rlatu2(j), j |
|---|
| 299 | STOP 13 |
|---|
| 300 | ENDIF |
|---|
| 301 | |
|---|
| 302 | IF (rlatu2(j) <= rlatu(j+1)) THEN |
|---|
| 303 | print *, 'Attention ! rlatu2 < rlatup1 ', rlatu2(j), rlatu(j+1), j |
|---|
| 304 | STOP 14 |
|---|
| 305 | ENDIF |
|---|
| 306 | |
|---|
| 307 | IF (rlatu(j) <= rlatu1(j)) THEN |
|---|
| 308 | print *, ' Attention ! rlatu < rlatu1 ', rlatu(j), rlatu1(j), j |
|---|
| 309 | STOP 15 |
|---|
| 310 | ENDIF |
|---|
| 311 | |
|---|
| 312 | IF (rlatv(j) <= rlatu2(j)) THEN |
|---|
| 313 | print *, ' Attention ! rlatv < rlatu2 ', rlatv(j), rlatu2(j), j |
|---|
| 314 | STOP 16 |
|---|
| 315 | ENDIF |
|---|
| 316 | |
|---|
| 317 | IF (rlatv(j) >= rlatu1(j)) THEN |
|---|
| 318 | print *, ' Attention ! rlatv > rlatu1 ', rlatv(j), rlatu1(j), j |
|---|
| 319 | STOP 17 |
|---|
| 320 | ENDIF |
|---|
| 321 | |
|---|
| 322 | IF (rlatv(j) >= rlatu(j)) THEN |
|---|
| 323 | print *, ' Attention ! rlatv > rlatu ', rlatv(j), rlatu(j), j |
|---|
| 324 | STOP 18 |
|---|
| 325 | ENDIF |
|---|
| 326 | ENDDO |
|---|
| 327 | |
|---|
| 328 | print *, 'Latitudes' |
|---|
| 329 | print 3, champmin, champmax |
|---|
| 330 | |
|---|
| 331 | 3 Format(1x, ' Au centre du zoom, la longueur de la maille est', & |
|---|
| 332 | ' d environ ', f0.2, ' degres ', /, & |
|---|
| 333 | ' alors que la maille en dehors de la zone du zoom est ', & |
|---|
| 334 | "d'environ ", f0.2, ' degres ') |
|---|
| 335 | |
|---|
| 336 | END SUBROUTINE fyhyp |
|---|
| 337 | |
|---|
| 338 | end module fyhyp_m |
|---|
