| 1 |
module dynetat0_m |
| 2 |
|
| 3 |
use dimensions, only: iim, jjm |
| 4 |
|
| 5 |
IMPLICIT NONE |
| 6 |
|
| 7 |
private iim, jjm, principal_cshift, invert_zoom_x, funcd |
| 8 |
|
| 9 |
INTEGER day_ini |
| 10 |
! day number at the beginning of the run, based at value 1 on |
| 11 |
! January 1st of annee_ref |
| 12 |
|
| 13 |
integer:: day_ref = 1 ! jour de l'ann\'ee de l'\'etat initial |
| 14 |
! (= 350 si 20 d\'ecembre par exemple) |
| 15 |
|
| 16 |
integer:: annee_ref = 1998 ! Annee de l'etat initial (avec 4 chiffres) |
| 17 |
|
| 18 |
REAL, protected:: clon ! longitude of the center of the zoom, in rad |
| 19 |
real, protected:: clat ! latitude of the center of the zoom, in rad |
| 20 |
|
| 21 |
real, protected:: grossismx, grossismy |
| 22 |
! facteurs de grossissement du zoom, selon la longitude et la latitude |
| 23 |
! = 2 si 2 fois, = 3 si 3 fois, etc. |
| 24 |
|
| 25 |
real, protected:: dzoomx, dzoomy |
| 26 |
! extensions en longitude et latitude de la zone du zoom (fractions |
| 27 |
! de la zone totale) |
| 28 |
|
| 29 |
real, protected:: taux, tauy |
| 30 |
! raideur de la transition de l'int\'erieur \`a l'ext\'erieur du zoom |
| 31 |
|
| 32 |
real rlatu(jjm + 1) |
| 33 |
! latitudes of points of the "scalar" and "u" grid, in rad |
| 34 |
|
| 35 |
real rlatv(jjm) |
| 36 |
! latitudes of points of the "v" grid, in rad, in decreasing order |
| 37 |
|
| 38 |
real rlonu(iim + 1) ! longitudes of points of the "u" grid, in rad |
| 39 |
|
| 40 |
real rlonv(iim + 1) |
| 41 |
! longitudes of points of the "scalar" and "v" grid, in rad |
| 42 |
|
| 43 |
real, protected:: xprimu(iim + 1), xprimv(iim + 1) |
| 44 |
! 2 pi / iim * (derivative of the longitudinal zoom function)(rlon[uv]) |
| 45 |
|
| 46 |
REAL, protected:: xprimm025(iim + 1), xprimp025(iim + 1) |
| 47 |
REAL, protected:: rlatu1(jjm), rlatu2(jjm), yprimu1(jjm), yprimu2(jjm) |
| 48 |
REAL ang0, etot0, ptot0, ztot0, stot0 |
| 49 |
INTEGER, PARAMETER, private:: nmax = 30000 |
| 50 |
DOUBLE PRECISION, private:: abs_y |
| 51 |
|
| 52 |
save |
| 53 |
|
| 54 |
contains |
| 55 |
|
| 56 |
SUBROUTINE dynetat0(vcov, ucov, teta, q, masse, ps, phis) |
| 57 |
|
| 58 |
! From dynetat0.F, version 1.2, 2004/06/22 11:45:30 |
| 59 |
! Authors: P. Le Van, L. Fairhead |
| 60 |
! This procedure reads the initial state of the atmosphere. |
| 61 |
|
| 62 |
use comconst, only: dtvr |
| 63 |
use conf_gcm_m, only: raz_date |
| 64 |
use dimensions, only: iim, jjm, llm, nqmx |
| 65 |
use disvert_m, only: pa |
| 66 |
use iniadvtrac_m, only: tname |
| 67 |
use netcdf, only: NF90_NOWRITE, NF90_NOERR |
| 68 |
use netcdf95, only: NF95_GET_VAR, nf95_open, nf95_inq_varid, NF95_CLOSE, & |
| 69 |
NF95_Gw_VAR |
| 70 |
use nr_util, only: assert |
| 71 |
use temps, only: itau_dyn |
| 72 |
use unit_nml_m, only: unit_nml |
| 73 |
|
| 74 |
REAL, intent(out):: vcov(: , :, :) ! (iim + 1, jjm, llm) |
| 75 |
REAL, intent(out):: ucov(:, :, :) ! (iim + 1, jjm + 1, llm) |
| 76 |
REAL, intent(out):: teta(:, :, :) ! (iim + 1, jjm + 1, llm) |
| 77 |
REAL, intent(out):: q(:, :, :, :) ! (iim + 1, jjm + 1, llm, nqmx) |
| 78 |
REAL, intent(out):: masse(:, :, :) ! (iim + 1, jjm + 1, llm) |
| 79 |
REAL, intent(out):: ps(:, :) ! (iim + 1, jjm + 1) in Pa |
| 80 |
REAL, intent(out):: phis(:, :) ! (iim + 1, jjm + 1) |
| 81 |
|
| 82 |
! Local variables: |
| 83 |
INTEGER iq |
| 84 |
REAL, allocatable:: tab_cntrl(:) ! tableau des param\`etres du run |
| 85 |
INTEGER ierr, ncid, varid |
| 86 |
|
| 87 |
namelist /dynetat0_nml/ day_ref, annee_ref |
| 88 |
|
| 89 |
!----------------------------------------------------------------------- |
| 90 |
|
| 91 |
print *, "Call sequence information: dynetat0" |
| 92 |
|
| 93 |
call assert((/size(ucov, 1), size(vcov, 1), size(masse, 1), size(ps, 1), & |
| 94 |
size(phis, 1), size(q, 1), size(teta, 1)/) == iim + 1, "dynetat0 iim") |
| 95 |
call assert((/size(ucov, 2), size(vcov, 2) + 1, size(masse, 2), & |
| 96 |
size(ps, 2), size(phis, 2), size(q, 2), size(teta, 2)/) == jjm + 1, & |
| 97 |
"dynetat0 jjm") |
| 98 |
call assert((/size(vcov, 3), size(ucov, 3), size(teta, 3), size(q, 3), & |
| 99 |
size(masse, 3)/) == llm, "dynetat0 llm") |
| 100 |
call assert(size(q, 4) == nqmx, "dynetat0 q nqmx") |
| 101 |
|
| 102 |
! Fichier \'etat initial : |
| 103 |
call nf95_open("start.nc", NF90_NOWRITE, ncid) |
| 104 |
|
| 105 |
call nf95_inq_varid(ncid, "controle", varid) |
| 106 |
call NF95_Gw_VAR(ncid, varid, tab_cntrl) |
| 107 |
|
| 108 |
call assert(int(tab_cntrl(1)) == iim, "dynetat0 tab_cntrl iim") |
| 109 |
call assert(int(tab_cntrl(2)) == jjm, "dynetat0 tab_cntrl jjm") |
| 110 |
call assert(int(tab_cntrl(3)) == llm, "dynetat0 tab_cntrl llm") |
| 111 |
|
| 112 |
IF (dtvr /= tab_cntrl(12)) THEN |
| 113 |
print *, 'Warning: the time steps from day_step and "start.nc" ' // & |
| 114 |
'are different.' |
| 115 |
print *, 'dtvr from day_step: ', dtvr |
| 116 |
print *, 'dtvr from "start.nc": ', tab_cntrl(12) |
| 117 |
print *, 'Using the value from day_step.' |
| 118 |
ENDIF |
| 119 |
|
| 120 |
etot0 = tab_cntrl(13) |
| 121 |
ptot0 = tab_cntrl(14) |
| 122 |
ztot0 = tab_cntrl(15) |
| 123 |
stot0 = tab_cntrl(16) |
| 124 |
ang0 = tab_cntrl(17) |
| 125 |
pa = tab_cntrl(18) |
| 126 |
|
| 127 |
clon = tab_cntrl(20) |
| 128 |
clat = tab_cntrl(21) |
| 129 |
grossismx = tab_cntrl(22) |
| 130 |
grossismy = tab_cntrl(23) |
| 131 |
dzoomx = tab_cntrl(25) |
| 132 |
dzoomy = tab_cntrl(26) |
| 133 |
taux = tab_cntrl(28) |
| 134 |
tauy = tab_cntrl(29) |
| 135 |
|
| 136 |
print *, "Enter namelist 'dynetat0_nml'." |
| 137 |
read(unit=*, nml=dynetat0_nml) |
| 138 |
write(unit_nml, nml=dynetat0_nml) |
| 139 |
|
| 140 |
if (raz_date) then |
| 141 |
print *, 'Resetting the date, using the namelist.' |
| 142 |
day_ini = day_ref |
| 143 |
itau_dyn = 0 |
| 144 |
else |
| 145 |
day_ref = tab_cntrl(4) |
| 146 |
annee_ref = tab_cntrl(5) |
| 147 |
itau_dyn = tab_cntrl(31) |
| 148 |
day_ini = tab_cntrl(30) |
| 149 |
end if |
| 150 |
|
| 151 |
print *, "day_ini = ", day_ini |
| 152 |
|
| 153 |
call NF95_INQ_VARID (ncid, "rlonu", varid) |
| 154 |
call NF95_GET_VAR(ncid, varid, rlonu) |
| 155 |
|
| 156 |
call NF95_INQ_VARID (ncid, "rlatu", varid) |
| 157 |
call NF95_GET_VAR(ncid, varid, rlatu) |
| 158 |
|
| 159 |
call NF95_INQ_VARID (ncid, "rlonv", varid) |
| 160 |
call NF95_GET_VAR(ncid, varid, rlonv) |
| 161 |
|
| 162 |
call NF95_INQ_VARID (ncid, "rlatv", varid) |
| 163 |
call NF95_GET_VAR(ncid, varid, rlatv) |
| 164 |
|
| 165 |
CALL nf95_inq_varid(ncid, 'xprimu', varid) |
| 166 |
CALL nf95_get_var(ncid, varid, xprimu) |
| 167 |
|
| 168 |
CALL nf95_inq_varid(ncid, 'xprimv', varid) |
| 169 |
CALL nf95_get_var(ncid, varid, xprimv) |
| 170 |
|
| 171 |
CALL nf95_inq_varid(ncid, 'xprimm025', varid) |
| 172 |
CALL nf95_get_var(ncid, varid, xprimm025) |
| 173 |
|
| 174 |
CALL nf95_inq_varid(ncid, 'xprimp025', varid) |
| 175 |
CALL nf95_get_var(ncid, varid, xprimp025) |
| 176 |
|
| 177 |
call NF95_INQ_VARID (ncid, "rlatu1", varid) |
| 178 |
call NF95_GET_VAR(ncid, varid, rlatu1) |
| 179 |
|
| 180 |
call NF95_INQ_VARID (ncid, "rlatu2", varid) |
| 181 |
call NF95_GET_VAR(ncid, varid, rlatu2) |
| 182 |
|
| 183 |
CALL nf95_inq_varid(ncid, 'yprimu1', varid) |
| 184 |
CALL nf95_get_var(ncid, varid, yprimu1) |
| 185 |
|
| 186 |
CALL nf95_inq_varid(ncid, 'yprimu2', varid) |
| 187 |
CALL nf95_get_var(ncid, varid, yprimu2) |
| 188 |
|
| 189 |
call NF95_INQ_VARID (ncid, "phis", varid) |
| 190 |
call NF95_GET_VAR(ncid, varid, phis) |
| 191 |
|
| 192 |
call NF95_INQ_VARID (ncid, "ucov", varid) |
| 193 |
call NF95_GET_VAR(ncid, varid, ucov) |
| 194 |
|
| 195 |
call NF95_INQ_VARID (ncid, "vcov", varid) |
| 196 |
call NF95_GET_VAR(ncid, varid, vcov) |
| 197 |
|
| 198 |
call NF95_INQ_VARID (ncid, "teta", varid) |
| 199 |
call NF95_GET_VAR(ncid, varid, teta) |
| 200 |
|
| 201 |
DO iq = 1, nqmx |
| 202 |
call NF95_INQ_VARID(ncid, tname(iq), varid, ierr) |
| 203 |
IF (ierr == NF90_NOERR) THEN |
| 204 |
call NF95_GET_VAR(ncid, varid, q(:, :, :, iq)) |
| 205 |
ELSE |
| 206 |
PRINT *, 'dynetat0: "' // tname(iq) // '" not found, ' // & |
| 207 |
"setting it to zero..." |
| 208 |
q(:, :, :, iq) = 0. |
| 209 |
ENDIF |
| 210 |
ENDDO |
| 211 |
|
| 212 |
call NF95_INQ_VARID (ncid, "masse", varid) |
| 213 |
call NF95_GET_VAR(ncid, varid, masse) |
| 214 |
|
| 215 |
call NF95_INQ_VARID (ncid, "ps", varid) |
| 216 |
call NF95_GET_VAR(ncid, varid, ps) |
| 217 |
! Check that there is a single value at each pole: |
| 218 |
call assert(ps(1, 1) == ps(2:, 1), "dynetat0 ps north pole") |
| 219 |
call assert(ps(1, jjm + 1) == ps(2:, jjm + 1), "dynetat0 ps south pole") |
| 220 |
|
| 221 |
call NF95_CLOSE(ncid) |
| 222 |
|
| 223 |
END SUBROUTINE dynetat0 |
| 224 |
|
| 225 |
!******************************************************************** |
| 226 |
|
| 227 |
subroutine read_serre |
| 228 |
|
| 229 |
use unit_nml_m, only: unit_nml |
| 230 |
use nr_util, only: assert, pi |
| 231 |
|
| 232 |
REAL:: clon_deg = 0. ! longitude of the center of the zoom, in degrees |
| 233 |
real:: clat_deg = 0. ! latitude of the center of the zoom, in degrees |
| 234 |
|
| 235 |
namelist /serre_nml/ clon_deg, clat_deg, grossismx, grossismy, dzoomx, & |
| 236 |
dzoomy, taux, tauy |
| 237 |
|
| 238 |
!------------------------------------------------- |
| 239 |
|
| 240 |
! Default values: |
| 241 |
grossismx = 1. |
| 242 |
grossismy = 1. |
| 243 |
dzoomx = 0.2 |
| 244 |
dzoomy = 0.2 |
| 245 |
taux = 3. |
| 246 |
tauy = 3. |
| 247 |
|
| 248 |
print *, "Enter namelist 'serre_nml'." |
| 249 |
read(unit=*, nml=serre_nml) |
| 250 |
write(unit_nml, nml=serre_nml) |
| 251 |
|
| 252 |
call assert(grossismx >= 1. .and. grossismy >= 1., "read_serre grossism") |
| 253 |
call assert(dzoomx > 0., dzoomx < 1., dzoomy < 1., & |
| 254 |
"read_serre dzoomx dzoomy") |
| 255 |
clon = clon_deg / 180. * pi |
| 256 |
clat = clat_deg / 180. * pi |
| 257 |
|
| 258 |
end subroutine read_serre |
| 259 |
|
| 260 |
!******************************************************************** |
| 261 |
|
| 262 |
SUBROUTINE fyhyp |
| 263 |
|
| 264 |
! From LMDZ4/libf/dyn3d/fyhyp.F, version 1.2, 2005/06/03 09:11:32 |
| 265 |
|
| 266 |
! Author: P. Le Van, from analysis by R. Sadourny |
| 267 |
|
| 268 |
! Define rlatu, rlatv, rlatu2, yprimu2, rlatu1, yprimu1, using |
| 269 |
! clat, grossismy, dzoomy, tauy. |
| 270 |
|
| 271 |
! Calcule les latitudes et dérivées dans la grille du GCM pour une |
| 272 |
! fonction f(y) à dérivée tangente hyperbolique. |
| 273 |
|
| 274 |
! Il vaut mieux avoir : grossismy * dzoom < pi / 2 |
| 275 |
|
| 276 |
use coefpoly_m, only: coefpoly, a0, a1, a2, a3 |
| 277 |
USE dimensions, only: jjm |
| 278 |
use heavyside_m, only: heavyside |
| 279 |
|
| 280 |
! Local: |
| 281 |
|
| 282 |
INTEGER, PARAMETER:: nmax=30000, nmax2=2*nmax |
| 283 |
REAL dzoom ! distance totale de la zone du zoom (en radians) |
| 284 |
DOUBLE PRECISION ylat(jjm + 1), yprim(jjm + 1) |
| 285 |
DOUBLE PRECISION yuv |
| 286 |
DOUBLE PRECISION, save:: yt(0:nmax2) |
| 287 |
DOUBLE PRECISION fhyp(0:nmax2), beta |
| 288 |
DOUBLE PRECISION, save:: ytprim(0:nmax2) |
| 289 |
DOUBLE PRECISION fxm(0:nmax2) |
| 290 |
DOUBLE PRECISION, save:: yf(0:nmax2) |
| 291 |
DOUBLE PRECISION yypr(0:nmax2) |
| 292 |
DOUBLE PRECISION yvrai(jjm + 1), yprimm(jjm + 1), ylatt(jjm + 1) |
| 293 |
DOUBLE PRECISION pi, pis2, epsilon, pisjm |
| 294 |
DOUBLE PRECISION yo1, yi, ylon2, ymoy, yprimin |
| 295 |
DOUBLE PRECISION yfi, yf1, ffdy |
| 296 |
DOUBLE PRECISION ypn |
| 297 |
DOUBLE PRECISION, save::deply, y00 |
| 298 |
|
| 299 |
INTEGER i, j, it, ik, iter, jlat, jjpn |
| 300 |
INTEGER, save:: jpn |
| 301 |
DOUBLE PRECISION yi2, heavyy0, heavyy0m |
| 302 |
DOUBLE PRECISION fa(0:nmax2), fb(0:nmax2) |
| 303 |
REAL y0min, y0max |
| 304 |
|
| 305 |
!------------------------------------------------------------------- |
| 306 |
|
| 307 |
print *, "Call sequence information: fyhyp" |
| 308 |
|
| 309 |
pi = 2.*asin(1.) |
| 310 |
pis2 = pi/2. |
| 311 |
pisjm = pi/real(jjm) |
| 312 |
epsilon = 1e-3 |
| 313 |
dzoom = dzoomy*pi |
| 314 |
|
| 315 |
DO i = 0, nmax2 |
| 316 |
yt(i) = -pis2 + real(i)*pi/nmax2 |
| 317 |
END DO |
| 318 |
|
| 319 |
heavyy0m = heavyside(-clat) |
| 320 |
heavyy0 = heavyside(clat) |
| 321 |
y0min = 2.*clat*heavyy0m - pis2 |
| 322 |
y0max = 2.*clat*heavyy0 + pis2 |
| 323 |
|
| 324 |
fa = 999.999 |
| 325 |
fb = 999.999 |
| 326 |
|
| 327 |
DO i = 0, nmax2 |
| 328 |
IF (yt(i)<clat) THEN |
| 329 |
fa(i) = tauy*(yt(i)-clat + dzoom/2.) |
| 330 |
fb(i) = (yt(i)-2.*clat*heavyy0m + pis2)*(clat-yt(i)) |
| 331 |
ELSE IF (yt(i)>clat) THEN |
| 332 |
fa(i) = tauy*(clat-yt(i) + dzoom/2.) |
| 333 |
fb(i) = (2.*clat*heavyy0-yt(i) + pis2)*(yt(i)-clat) |
| 334 |
END IF |
| 335 |
|
| 336 |
IF (200.*fb(i)<-fa(i)) THEN |
| 337 |
fhyp(i) = -1. |
| 338 |
ELSE IF (200.*fb(i)<fa(i)) THEN |
| 339 |
fhyp(i) = 1. |
| 340 |
ELSE |
| 341 |
fhyp(i) = tanh(fa(i)/fb(i)) |
| 342 |
END IF |
| 343 |
|
| 344 |
IF (yt(i)==clat) fhyp(i) = 1. |
| 345 |
IF (yt(i)==y0min .OR. yt(i)==y0max) fhyp(i) = -1. |
| 346 |
END DO |
| 347 |
|
| 348 |
! Calcul de beta |
| 349 |
|
| 350 |
ffdy = 0. |
| 351 |
|
| 352 |
DO i = 1, nmax2 |
| 353 |
ymoy = 0.5*(yt(i-1) + yt(i)) |
| 354 |
IF (ymoy<clat) THEN |
| 355 |
fa(i) = tauy*(ymoy-clat + dzoom/2.) |
| 356 |
fb(i) = (ymoy-2.*clat*heavyy0m + pis2)*(clat-ymoy) |
| 357 |
ELSE IF (ymoy>clat) THEN |
| 358 |
fa(i) = tauy*(clat-ymoy + dzoom/2.) |
| 359 |
fb(i) = (2.*clat*heavyy0-ymoy + pis2)*(ymoy-clat) |
| 360 |
END IF |
| 361 |
|
| 362 |
IF (200.*fb(i)<-fa(i)) THEN |
| 363 |
fxm(i) = -1. |
| 364 |
ELSE IF (200.*fb(i)<fa(i)) THEN |
| 365 |
fxm(i) = 1. |
| 366 |
ELSE |
| 367 |
fxm(i) = tanh(fa(i)/fb(i)) |
| 368 |
END IF |
| 369 |
IF (ymoy==clat) fxm(i) = 1. |
| 370 |
IF (ymoy==y0min .OR. yt(i)==y0max) fxm(i) = -1. |
| 371 |
ffdy = ffdy + fxm(i)*(yt(i)-yt(i-1)) |
| 372 |
END DO |
| 373 |
|
| 374 |
beta = (grossismy*ffdy-pi)/(ffdy-pi) |
| 375 |
|
| 376 |
IF (2. * beta - grossismy <= 0.) THEN |
| 377 |
print *, 'Attention ! La valeur beta calculee dans la routine fyhyp ' & |
| 378 |
// 'est mauvaise. Modifier les valeurs de grossismy, tauy ou ' & |
| 379 |
// 'dzoomy et relancer.' |
| 380 |
STOP 1 |
| 381 |
END IF |
| 382 |
|
| 383 |
! calcul de Ytprim |
| 384 |
|
| 385 |
DO i = 0, nmax2 |
| 386 |
ytprim(i) = beta + (grossismy-beta)*fhyp(i) |
| 387 |
END DO |
| 388 |
|
| 389 |
! Calcul de Yf |
| 390 |
|
| 391 |
yf(0) = -pis2 |
| 392 |
DO i = 1, nmax2 |
| 393 |
yypr(i) = beta + (grossismy-beta)*fxm(i) |
| 394 |
END DO |
| 395 |
|
| 396 |
DO i = 1, nmax2 |
| 397 |
yf(i) = yf(i-1) + yypr(i)*(yt(i)-yt(i-1)) |
| 398 |
END DO |
| 399 |
|
| 400 |
! yuv = 0. si calcul des latitudes aux pts. U |
| 401 |
! yuv = 0.5 si calcul des latitudes aux pts. V |
| 402 |
|
| 403 |
loop_ik: DO ik = 1, 4 |
| 404 |
IF (ik==1) THEN |
| 405 |
yuv = 0. |
| 406 |
jlat = jjm + 1 |
| 407 |
ELSE IF (ik==2) THEN |
| 408 |
yuv = 0.5 |
| 409 |
jlat = jjm |
| 410 |
ELSE IF (ik==3) THEN |
| 411 |
yuv = 0.25 |
| 412 |
jlat = jjm |
| 413 |
ELSE IF (ik==4) THEN |
| 414 |
yuv = 0.75 |
| 415 |
jlat = jjm |
| 416 |
END IF |
| 417 |
|
| 418 |
yo1 = 0. |
| 419 |
DO j = 1, jlat |
| 420 |
yo1 = 0. |
| 421 |
ylon2 = -pis2 + pisjm*(real(j) + yuv-1.) |
| 422 |
yfi = ylon2 |
| 423 |
|
| 424 |
it = nmax2 |
| 425 |
DO while (it >= 1 .and. yfi < yf(it)) |
| 426 |
it = it - 1 |
| 427 |
END DO |
| 428 |
|
| 429 |
yi = yt(it) |
| 430 |
IF (it==nmax2) THEN |
| 431 |
it = nmax2 - 1 |
| 432 |
yf(it + 1) = pis2 |
| 433 |
END IF |
| 434 |
|
| 435 |
! Interpolation entre yi(it) et yi(it + 1) pour avoir Y(yi) |
| 436 |
! et Y'(yi) |
| 437 |
|
| 438 |
CALL coefpoly(yf(it), yf(it + 1), ytprim(it), ytprim(it + 1), & |
| 439 |
yt(it), yt(it + 1)) |
| 440 |
|
| 441 |
yf1 = yf(it) |
| 442 |
yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
| 443 |
|
| 444 |
iter = 1 |
| 445 |
DO |
| 446 |
yi = yi - (yf1-yfi)/yprimin |
| 447 |
IF (abs(yi-yo1)<=epsilon .or. iter == 300) exit |
| 448 |
yo1 = yi |
| 449 |
yi2 = yi*yi |
| 450 |
yf1 = a0 + a1*yi + a2*yi2 + a3*yi2*yi |
| 451 |
yprimin = a1 + 2.*a2*yi + 3.*a3*yi2 |
| 452 |
END DO |
| 453 |
if (abs(yi-yo1) > epsilon) then |
| 454 |
print *, 'Pas de solution.', j, ylon2 |
| 455 |
STOP 1 |
| 456 |
end if |
| 457 |
|
| 458 |
yprimin = a1 + 2.*a2*yi + 3.*a3*yi*yi |
| 459 |
yprim(j) = pi/(jjm*yprimin) |
| 460 |
yvrai(j) = yi |
| 461 |
END DO |
| 462 |
|
| 463 |
DO j = 1, jlat - 1 |
| 464 |
IF (yvrai(j + 1)<yvrai(j)) THEN |
| 465 |
print *, 'Problème avec rlat(', j + 1, ') plus petit que rlat(', & |
| 466 |
j, ')' |
| 467 |
STOP 1 |
| 468 |
END IF |
| 469 |
END DO |
| 470 |
|
| 471 |
print *, 'Reorganisation des latitudes pour avoir entre - pi/2 et pi/2' |
| 472 |
|
| 473 |
IF (ik==1) THEN |
| 474 |
ypn = pis2 |
| 475 |
DO j = jjm + 1, 1, -1 |
| 476 |
IF (yvrai(j)<=ypn) exit |
| 477 |
END DO |
| 478 |
|
| 479 |
jpn = j |
| 480 |
y00 = yvrai(jpn) |
| 481 |
deply = pis2 - y00 |
| 482 |
END IF |
| 483 |
|
| 484 |
DO j = 1, jjm + 1 - jpn |
| 485 |
ylatt(j) = -pis2 - y00 + yvrai(jpn + j-1) |
| 486 |
yprimm(j) = yprim(jpn + j-1) |
| 487 |
END DO |
| 488 |
|
| 489 |
jjpn = jpn |
| 490 |
IF (jlat==jjm) jjpn = jpn - 1 |
| 491 |
|
| 492 |
DO j = 1, jjpn |
| 493 |
ylatt(j + jjm + 1-jpn) = yvrai(j) + deply |
| 494 |
yprimm(j + jjm + 1-jpn) = yprim(j) |
| 495 |
END DO |
| 496 |
|
| 497 |
! Fin de la reorganisation |
| 498 |
|
| 499 |
DO j = 1, jlat |
| 500 |
ylat(j) = ylatt(jlat + 1-j) |
| 501 |
yprim(j) = yprimm(jlat + 1-j) |
| 502 |
END DO |
| 503 |
|
| 504 |
DO j = 1, jlat |
| 505 |
yvrai(j) = ylat(j)*180./pi |
| 506 |
END DO |
| 507 |
|
| 508 |
IF (ik==1) THEN |
| 509 |
DO j = 1, jjm + 1 |
| 510 |
rlatu(j) = ylat(j) |
| 511 |
END DO |
| 512 |
ELSE IF (ik==2) THEN |
| 513 |
DO j = 1, jjm |
| 514 |
rlatv(j) = ylat(j) |
| 515 |
END DO |
| 516 |
ELSE IF (ik==3) THEN |
| 517 |
DO j = 1, jjm |
| 518 |
rlatu2(j) = ylat(j) |
| 519 |
yprimu2(j) = yprim(j) |
| 520 |
END DO |
| 521 |
ELSE IF (ik==4) THEN |
| 522 |
DO j = 1, jjm |
| 523 |
rlatu1(j) = ylat(j) |
| 524 |
yprimu1(j) = yprim(j) |
| 525 |
END DO |
| 526 |
END IF |
| 527 |
END DO loop_ik |
| 528 |
|
| 529 |
DO j = 1, jjm |
| 530 |
ylat(j) = rlatu(j) - rlatu(j + 1) |
| 531 |
END DO |
| 532 |
|
| 533 |
DO j = 1, jjm |
| 534 |
IF (rlatu1(j) <= rlatu2(j)) THEN |
| 535 |
print *, 'Attention ! rlatu1 < rlatu2 ', rlatu1(j), rlatu2(j), j |
| 536 |
STOP 13 |
| 537 |
ENDIF |
| 538 |
|
| 539 |
IF (rlatu2(j) <= rlatu(j+1)) THEN |
| 540 |
print *, 'Attention ! rlatu2 < rlatup1 ', rlatu2(j), rlatu(j+1), j |
| 541 |
STOP 14 |
| 542 |
ENDIF |
| 543 |
|
| 544 |
IF (rlatu(j) <= rlatu1(j)) THEN |
| 545 |
print *, ' Attention ! rlatu < rlatu1 ', rlatu(j), rlatu1(j), j |
| 546 |
STOP 15 |
| 547 |
ENDIF |
| 548 |
|
| 549 |
IF (rlatv(j) <= rlatu2(j)) THEN |
| 550 |
print *, ' Attention ! rlatv < rlatu2 ', rlatv(j), rlatu2(j), j |
| 551 |
STOP 16 |
| 552 |
ENDIF |
| 553 |
|
| 554 |
IF (rlatv(j) >= rlatu1(j)) THEN |
| 555 |
print *, ' Attention ! rlatv > rlatu1 ', rlatv(j), rlatu1(j), j |
| 556 |
STOP 17 |
| 557 |
ENDIF |
| 558 |
|
| 559 |
IF (rlatv(j) >= rlatu(j)) THEN |
| 560 |
print *, ' Attention ! rlatv > rlatu ', rlatv(j), rlatu(j), j |
| 561 |
STOP 18 |
| 562 |
ENDIF |
| 563 |
ENDDO |
| 564 |
|
| 565 |
print *, 'Latitudes' |
| 566 |
print 3, minval(ylat(:jjm)) *180d0/pi, maxval(ylat(:jjm))*180d0/pi |
| 567 |
|
| 568 |
3 Format(1x, ' Au centre du zoom, la longueur de la maille est', & |
| 569 |
' d environ ', f0.2, ' degres ', /, & |
| 570 |
' alors que la maille en dehors de la zone du zoom est ', & |
| 571 |
"d'environ ", f0.2, ' degres ') |
| 572 |
|
| 573 |
rlatu(1) = pi / 2. |
| 574 |
rlatu(jjm + 1) = -rlatu(1) |
| 575 |
|
| 576 |
END SUBROUTINE fyhyp |
| 577 |
|
| 578 |
!******************************************************************** |
| 579 |
|
| 580 |
SUBROUTINE fxhyp |
| 581 |
|
| 582 |
! From LMDZ4/libf/dyn3d/fxhyp.F, version 1.2, 2005/06/03 09:11:32 |
| 583 |
! Author: P. Le Van, from formulas by R. Sadourny |
| 584 |
|
| 585 |
! Compute xprimm025, rlonv, xprimv, rlonu, xprimu, xprimp025, |
| 586 |
! using clon, grossismx, dzoomx, taux. |
| 587 |
|
| 588 |
! Calcule les longitudes et dérivées dans la grille du GCM pour |
| 589 |
! une fonction x_f(\tilde x) à dérivée tangente hyperbolique. |
| 590 |
|
| 591 |
! Il vaut mieux avoir : grossismx \times delta < pi |
| 592 |
|
| 593 |
! Le premier point scalaire pour une grille regulière (grossismx = |
| 594 |
! 1) avec clon = 0 est à - 180 degrés. |
| 595 |
|
| 596 |
USE dimensions, ONLY: iim |
| 597 |
use nr_util, only: pi, pi_d, twopi, twopi_d, arth |
| 598 |
use tanh_cautious_m, only: tanh_cautious |
| 599 |
|
| 600 |
! Local: |
| 601 |
real rlonm025(iim + 1), rlonp025(iim + 1), d_rlonv(iim) |
| 602 |
REAL delta, h |
| 603 |
DOUBLE PRECISION, dimension(0:nmax):: xtild, fhyp, G, Xf, ffdx |
| 604 |
DOUBLE PRECISION beta |
| 605 |
INTEGER i, is2 |
| 606 |
DOUBLE PRECISION xmoy(nmax), fxm(nmax) |
| 607 |
|
| 608 |
!---------------------------------------------------------------------- |
| 609 |
|
| 610 |
print *, "Call sequence information: fxhyp" |
| 611 |
|
| 612 |
if (grossismx == 1.) then |
| 613 |
h = twopi / iim |
| 614 |
|
| 615 |
xprimm025(:iim) = h |
| 616 |
xprimp025(:iim) = h |
| 617 |
xprimv(:iim) = h |
| 618 |
xprimu(:iim) = h |
| 619 |
|
| 620 |
rlonv(:iim) = arth(- pi + clon, h, iim) |
| 621 |
rlonm025(:iim) = rlonv(:iim) - 0.25 * h |
| 622 |
rlonp025(:iim) = rlonv(:iim) + 0.25 * h |
| 623 |
rlonu(:iim) = rlonv(:iim) + 0.5 * h |
| 624 |
else |
| 625 |
delta = dzoomx * twopi_d |
| 626 |
xtild = arth(0d0, pi_d / nmax, nmax + 1) |
| 627 |
forall (i = 1:nmax) xmoy(i) = 0.5d0 * (xtild(i-1) + xtild(i)) |
| 628 |
|
| 629 |
! Compute fhyp: |
| 630 |
fhyp(1:nmax - 1) = tanh_cautious(taux * (delta / 2d0 & |
| 631 |
- xtild(1:nmax - 1)), xtild(1:nmax - 1) & |
| 632 |
* (pi_d - xtild(1:nmax - 1))) |
| 633 |
fhyp(0) = 1d0 |
| 634 |
fhyp(nmax) = -1d0 |
| 635 |
|
| 636 |
fxm = tanh_cautious(taux * (delta / 2d0 - xmoy), xmoy * (pi_d - xmoy)) |
| 637 |
|
| 638 |
! Compute \int_0 ^{\tilde x} F: |
| 639 |
|
| 640 |
ffdx(0) = 0d0 |
| 641 |
|
| 642 |
DO i = 1, nmax |
| 643 |
ffdx(i) = ffdx(i - 1) + fxm(i) * (xtild(i) - xtild(i-1)) |
| 644 |
END DO |
| 645 |
|
| 646 |
print *, "ffdx(nmax) = ", ffdx(nmax) |
| 647 |
beta = (pi_d - grossismx * ffdx(nmax)) / (pi_d - ffdx(nmax)) |
| 648 |
print *, "beta = ", beta |
| 649 |
|
| 650 |
IF (2d0 * beta - grossismx <= 0d0) THEN |
| 651 |
print *, 'Bad choice of grossismx, taux, dzoomx.' |
| 652 |
print *, 'Decrease dzoomx or grossismx.' |
| 653 |
STOP 1 |
| 654 |
END IF |
| 655 |
|
| 656 |
G = beta + (grossismx - beta) * fhyp |
| 657 |
|
| 658 |
Xf(:nmax - 1) = beta * xtild(:nmax - 1) + (grossismx - beta) & |
| 659 |
* ffdx(:nmax - 1) |
| 660 |
Xf(nmax) = pi_d |
| 661 |
|
| 662 |
call invert_zoom_x(beta, xf, xtild, G, rlonm025(:iim), xprimm025(:iim), & |
| 663 |
xuv = - 0.25d0) |
| 664 |
call invert_zoom_x(beta, xf, xtild, G, rlonv(:iim), xprimv(:iim), & |
| 665 |
xuv = 0d0) |
| 666 |
call invert_zoom_x(beta, xf, xtild, G, rlonu(:iim), xprimu(:iim), & |
| 667 |
xuv = 0.5d0) |
| 668 |
call invert_zoom_x(beta, xf, xtild, G, rlonp025(:iim), xprimp025(:iim), & |
| 669 |
xuv = 0.25d0) |
| 670 |
end if |
| 671 |
|
| 672 |
is2 = 0 |
| 673 |
|
| 674 |
IF (MINval(rlonm025(:iim)) < - pi - 0.1 & |
| 675 |
.or. MAXval(rlonm025(:iim)) > pi + 0.1) THEN |
| 676 |
IF (clon <= 0.) THEN |
| 677 |
is2 = 1 |
| 678 |
|
| 679 |
do while (rlonm025(is2) < - pi .and. is2 < iim) |
| 680 |
is2 = is2 + 1 |
| 681 |
end do |
| 682 |
|
| 683 |
if (rlonm025(is2) < - pi) then |
| 684 |
print *, 'Rlonm025 plus petit que - pi !' |
| 685 |
STOP 1 |
| 686 |
end if |
| 687 |
ELSE |
| 688 |
is2 = iim |
| 689 |
|
| 690 |
do while (rlonm025(is2) > pi .and. is2 > 1) |
| 691 |
is2 = is2 - 1 |
| 692 |
end do |
| 693 |
|
| 694 |
if (rlonm025(is2) > pi) then |
| 695 |
print *, 'Rlonm025 plus grand que pi !' |
| 696 |
STOP 1 |
| 697 |
end if |
| 698 |
END IF |
| 699 |
END IF |
| 700 |
|
| 701 |
call principal_cshift(is2, rlonm025, xprimm025) |
| 702 |
call principal_cshift(is2, rlonv, xprimv) |
| 703 |
call principal_cshift(is2, rlonu, xprimu) |
| 704 |
call principal_cshift(is2, rlonp025, xprimp025) |
| 705 |
|
| 706 |
forall (i = 1: iim) d_rlonv(i) = rlonv(i + 1) - rlonv(i) |
| 707 |
print *, "Minimum longitude step:", MINval(d_rlonv) * 180. / pi, "degrees" |
| 708 |
print *, "Maximum longitude step:", MAXval(d_rlonv) * 180. / pi, "degrees" |
| 709 |
|
| 710 |
! Check that rlonm025 <= rlonv <= rlonp025 <= rlonu: |
| 711 |
DO i = 1, iim + 1 |
| 712 |
IF (rlonp025(i) < rlonv(i)) THEN |
| 713 |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
| 714 |
print *, "< rlonv(", i, ") = ", rlonv(i) |
| 715 |
STOP 1 |
| 716 |
END IF |
| 717 |
|
| 718 |
IF (rlonv(i) < rlonm025(i)) THEN |
| 719 |
print *, 'rlonv(', i, ') = ', rlonv(i) |
| 720 |
print *, "< rlonm025(", i, ") = ", rlonm025(i) |
| 721 |
STOP 1 |
| 722 |
END IF |
| 723 |
|
| 724 |
IF (rlonp025(i) > rlonu(i)) THEN |
| 725 |
print *, 'rlonp025(', i, ') = ', rlonp025(i) |
| 726 |
print *, "> rlonu(", i, ") = ", rlonu(i) |
| 727 |
STOP 1 |
| 728 |
END IF |
| 729 |
END DO |
| 730 |
|
| 731 |
END SUBROUTINE fxhyp |
| 732 |
|
| 733 |
!******************************************************************** |
| 734 |
|
| 735 |
subroutine principal_cshift(is2, xlon, xprimm) |
| 736 |
|
| 737 |
! Add or subtract 2 pi so that xlon is near [-pi, pi], then cshift |
| 738 |
! so that xlon is in ascending order. Make the same cshift on |
| 739 |
! xprimm. Use clon. |
| 740 |
|
| 741 |
USE dimensions, ONLY: iim |
| 742 |
use nr_util, only: twopi |
| 743 |
|
| 744 |
integer, intent(in):: is2 |
| 745 |
real, intent(inout):: xlon(:), xprimm(:) ! (iim + 1) |
| 746 |
|
| 747 |
!----------------------------------------------------- |
| 748 |
|
| 749 |
if (is2 /= 0) then |
| 750 |
IF (clon <= 0.) THEN |
| 751 |
IF (is2 /= 1) THEN |
| 752 |
xlon(:is2 - 1) = xlon(:is2 - 1) + twopi |
| 753 |
xlon(:iim) = cshift(xlon(:iim), shift = is2 - 1) |
| 754 |
xprimm(:iim) = cshift(xprimm(:iim), shift = is2 - 1) |
| 755 |
END IF |
| 756 |
else |
| 757 |
xlon(is2 + 1:iim) = xlon(is2 + 1:iim) - twopi |
| 758 |
xlon(:iim) = cshift(xlon(:iim), shift = is2) |
| 759 |
xprimm(:iim) = cshift(xprimm(:iim), shift = is2) |
| 760 |
end IF |
| 761 |
end if |
| 762 |
|
| 763 |
xlon(iim + 1) = xlon(1) + twopi |
| 764 |
xprimm(iim + 1) = xprimm(1) |
| 765 |
|
| 766 |
end subroutine principal_cshift |
| 767 |
|
| 768 |
!********************************************************************** |
| 769 |
|
| 770 |
subroutine invert_zoom_x(beta, xf, xtild, G, xlon, xprim, xuv) |
| 771 |
|
| 772 |
! Using clon and grossismx. |
| 773 |
|
| 774 |
use coefpoly_m, only: coefpoly, a1, a2, a3 |
| 775 |
USE dimensions, ONLY: iim |
| 776 |
use nr_util, only: pi_d, twopi_d |
| 777 |
use numer_rec_95, only: hunt, rtsafe |
| 778 |
|
| 779 |
DOUBLE PRECISION, intent(in):: beta, Xf(0:), xtild(0:), G(0:) ! (0:nmax) |
| 780 |
|
| 781 |
real, intent(out):: xlon(:), xprim(:) ! (iim) |
| 782 |
|
| 783 |
DOUBLE PRECISION, intent(in):: xuv |
| 784 |
! between - 0.25 and 0.5 |
| 785 |
! 0. si calcul aux points scalaires |
| 786 |
! 0.5 si calcul aux points U |
| 787 |
|
| 788 |
! Local: |
| 789 |
DOUBLE PRECISION Y |
| 790 |
DOUBLE PRECISION h ! step of the uniform grid |
| 791 |
integer i, it |
| 792 |
|
| 793 |
DOUBLE PRECISION xvrai(iim), Gvrai(iim) |
| 794 |
! intermediary variables because xlon and xprim are single precision |
| 795 |
|
| 796 |
!------------------------------------------------------------------ |
| 797 |
|
| 798 |
print *, "Call sequence information: invert_zoom_x" |
| 799 |
it = 0 ! initial guess |
| 800 |
h = twopi_d / iim |
| 801 |
|
| 802 |
DO i = 1, iim |
| 803 |
Y = - pi_d + (i + xuv - 0.75d0) * h |
| 804 |
! - pi <= y < pi |
| 805 |
abs_y = abs(y) |
| 806 |
|
| 807 |
! Distinguish boundaries in order to avoid roundoff error. |
| 808 |
! funcd should be exactly equal to 0 at xtild(it) or xtild(it + |
| 809 |
! 1) and could be very small with the wrong sign so rtsafe |
| 810 |
! would fail. |
| 811 |
if (abs_y == 0d0) then |
| 812 |
xvrai(i) = 0d0 |
| 813 |
gvrai(i) = grossismx |
| 814 |
else if (abs_y == pi_d) then |
| 815 |
xvrai(i) = pi_d |
| 816 |
gvrai(i) = 2d0 * beta - grossismx |
| 817 |
else |
| 818 |
call hunt(xf, abs_y, it, my_lbound = 0) |
| 819 |
! {0 <= it <= nmax - 1} |
| 820 |
|
| 821 |
! Calcul de xvrai(i) et Gvrai(i) |
| 822 |
CALL coefpoly(Xf(it), Xf(it + 1), G(it), G(it + 1), xtild(it), & |
| 823 |
xtild(it + 1)) |
| 824 |
xvrai(i) = rtsafe(funcd, xtild(it), xtild(it + 1), xacc = 1d-6) |
| 825 |
Gvrai(i) = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3) |
| 826 |
end if |
| 827 |
|
| 828 |
if (y < 0d0) xvrai(i) = - xvrai(i) |
| 829 |
end DO |
| 830 |
|
| 831 |
DO i = 1, iim -1 |
| 832 |
IF (xvrai(i + 1) < xvrai(i)) THEN |
| 833 |
print *, 'xvrai(', i + 1, ') < xvrai(', i, ')' |
| 834 |
STOP 1 |
| 835 |
END IF |
| 836 |
END DO |
| 837 |
|
| 838 |
xlon = xvrai + clon |
| 839 |
xprim = h / Gvrai |
| 840 |
|
| 841 |
end subroutine invert_zoom_x |
| 842 |
|
| 843 |
!********************************************************************** |
| 844 |
|
| 845 |
SUBROUTINE funcd(x, fval, fderiv) |
| 846 |
|
| 847 |
use coefpoly_m, only: a0, a1, a2, a3 |
| 848 |
|
| 849 |
DOUBLE PRECISION, INTENT(IN):: x |
| 850 |
DOUBLE PRECISION, INTENT(OUT):: fval, fderiv |
| 851 |
|
| 852 |
fval = a0 + x * (a1 + x * (a2 + x * a3)) - abs_y |
| 853 |
fderiv = a1 + x * (2d0 * a2 + x * 3d0 * a3) |
| 854 |
|
| 855 |
END SUBROUTINE funcd |
| 856 |
|
| 857 |
end module dynetat0_m |
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