| 1 |
! |
| 2 |
! $Header: /home/cvsroot/LMDZ4/libf/dyn3d/fyhyp.F,v 1.2 2005/06/03 09:11:32 fairhead Exp $ |
| 3 |
! |
| 4 |
c |
| 5 |
c |
| 6 |
SUBROUTINE fyhyp ( yzoomdeg, grossism, dzooma,tau , |
| 7 |
, rrlatu,yyprimu,rrlatv,yyprimv,rlatu2,yprimu2,rlatu1,yprimu1 , |
| 8 |
, champmin,champmax ) |
| 9 |
|
| 10 |
cc ... Version du 01/04/2001 .... |
| 11 |
|
| 12 |
use dimens_m |
| 13 |
use paramet_m |
| 14 |
IMPLICIT NONE |
| 15 |
c |
| 16 |
c ... Auteur : P. Le Van ... |
| 17 |
c |
| 18 |
c ....... d'apres formulations de R. Sadourny ....... |
| 19 |
c |
| 20 |
c Calcule les latitudes et derivees dans la grille du GCM pour une |
| 21 |
c fonction f(y) a tangente hyperbolique . |
| 22 |
c |
| 23 |
c grossism etant le grossissement ( = 2 si 2 fois, = 3 si 3 fois , etc) |
| 24 |
c dzoom etant la distance totale de la zone du zoom ( en radians ) |
| 25 |
c tau la raideur de la transition de l'interieur a l'exterieur du zoom |
| 26 |
c |
| 27 |
c |
| 28 |
c N.B : Il vaut mieux avoir : grossism * dzoom < pi/2 (radians) ,en lati. |
| 29 |
c ******************************************************************** |
| 30 |
c |
| 31 |
c |
| 32 |
|
| 33 |
INTEGER nmax , nmax2 |
| 34 |
PARAMETER ( nmax = 30000, nmax2 = 2*nmax ) |
| 35 |
c |
| 36 |
c |
| 37 |
c ....... arguments d'entree ....... |
| 38 |
c |
| 39 |
REAL yzoomdeg, grossism,dzooma,tau |
| 40 |
c ( rentres par run.def ) |
| 41 |
|
| 42 |
c ....... arguments de sortie ....... |
| 43 |
c |
| 44 |
REAL rrlatu(jjp1), yyprimu(jjp1),rrlatv(jjm), yyprimv(jjm), |
| 45 |
, rlatu1(jjm), yprimu1(jjm), rlatu2(jjm), yprimu2(jjm) |
| 46 |
|
| 47 |
c |
| 48 |
c ..... champs locaux ..... |
| 49 |
c |
| 50 |
|
| 51 |
REAL dzoom |
| 52 |
REAL*8 ylat(jjp1), yprim(jjp1) |
| 53 |
REAL*8 yuv |
| 54 |
REAL*8 yt(0:nmax2) |
| 55 |
REAL*8 fhyp(0:nmax2),beta,Ytprim(0:nmax2),fxm(0:nmax2) |
| 56 |
SAVE Ytprim, yt,Yf |
| 57 |
REAL*8 Yf(0:nmax2),yypr(0:nmax2) |
| 58 |
REAL*8 yvrai(jjp1), yprimm(jjp1),ylatt(jjp1) |
| 59 |
REAL*8 pi,depi,pis2,epsilon,y0,pisjm |
| 60 |
REAL*8 yo1,yi,ylon2,ymoy,Yprimin,champmin,champmax |
| 61 |
REAL*8 yfi,Yf1,ffdy |
| 62 |
REAL*8 ypn,deply,y00 |
| 63 |
SAVE y00, deply |
| 64 |
|
| 65 |
INTEGER i,j,it,ik,iter,jlat |
| 66 |
INTEGER jpn,jjpn |
| 67 |
SAVE jpn |
| 68 |
REAL*8 a0,a1,a2,a3,yi2,heavyy0,heavyy0m |
| 69 |
REAL*8 fa(0:nmax2),fb(0:nmax2) |
| 70 |
REAL y0min,y0max |
| 71 |
|
| 72 |
REAL*8 heavyside |
| 73 |
|
| 74 |
pi = 2. * ASIN(1.) |
| 75 |
depi = 2. * pi |
| 76 |
pis2 = pi/2. |
| 77 |
pisjm = pi/ FLOAT(jjm) |
| 78 |
epsilon = 1.e-3 |
| 79 |
y0 = yzoomdeg * pi/180. |
| 80 |
|
| 81 |
IF( dzooma.LT.1.) THEN |
| 82 |
dzoom = dzooma * pi |
| 83 |
ELSEIF( dzooma.LT. 12. ) THEN |
| 84 |
WRITE(6,*) ' Le param. dzoomy pour fyhyp est trop petit ! L aug |
| 85 |
,menter et relancer ! ' |
| 86 |
STOP 1 |
| 87 |
ELSE |
| 88 |
dzoom = dzooma * pi/180. |
| 89 |
ENDIF |
| 90 |
|
| 91 |
WRITE(6,18) |
| 92 |
WRITE(6,*) ' yzoom( rad.),grossism,tau,dzoom (radians)' |
| 93 |
WRITE(6,24) y0,grossism,tau,dzoom |
| 94 |
|
| 95 |
DO i = 0, nmax2 |
| 96 |
yt(i) = - pis2 + FLOAT(i)* pi /nmax2 |
| 97 |
ENDDO |
| 98 |
|
| 99 |
heavyy0m = heavyside( -y0 ) |
| 100 |
heavyy0 = heavyside( y0 ) |
| 101 |
y0min = 2.*y0*heavyy0m - pis2 |
| 102 |
y0max = 2.*y0*heavyy0 + pis2 |
| 103 |
|
| 104 |
fa = 999.999 |
| 105 |
fb = 999.999 |
| 106 |
|
| 107 |
DO i = 0, nmax2 |
| 108 |
IF( yt(i).LT.y0 ) THEN |
| 109 |
fa (i) = tau* (yt(i)-y0+dzoom/2. ) |
| 110 |
fb(i) = (yt(i)-2.*y0*heavyy0m +pis2) * ( y0 - yt(i) ) |
| 111 |
ELSEIF ( yt(i).GT.y0 ) THEN |
| 112 |
fa(i) = tau *(y0-yt(i)+dzoom/2. ) |
| 113 |
fb(i) = (2.*y0*heavyy0 -yt(i)+pis2) * ( yt(i) - y0 ) |
| 114 |
ENDIF |
| 115 |
|
| 116 |
IF( 200.* fb(i) .LT. - fa(i) ) THEN |
| 117 |
fhyp ( i) = - 1. |
| 118 |
ELSEIF( 200. * fb(i) .LT. fa(i) ) THEN |
| 119 |
fhyp ( i) = 1. |
| 120 |
ELSE |
| 121 |
fhyp(i) = TANH ( fa(i)/fb(i) ) |
| 122 |
ENDIF |
| 123 |
|
| 124 |
IF( yt(i).EQ.y0 ) fhyp(i) = 1. |
| 125 |
IF(yt(i).EQ. y0min. OR.yt(i).EQ. y0max ) fhyp(i) = -1. |
| 126 |
|
| 127 |
ENDDO |
| 128 |
|
| 129 |
cc .... Calcul de beta .... |
| 130 |
c |
| 131 |
ffdy = 0. |
| 132 |
|
| 133 |
DO i = 1, nmax2 |
| 134 |
ymoy = 0.5 * ( yt(i-1) + yt( i ) ) |
| 135 |
IF( ymoy.LT.y0 ) THEN |
| 136 |
fa(i)= tau * ( ymoy-y0+dzoom/2.) |
| 137 |
fb(i) = (ymoy-2.*y0*heavyy0m +pis2) * ( y0 - ymoy ) |
| 138 |
ELSEIF ( ymoy.GT.y0 ) THEN |
| 139 |
fa(i)= tau * ( y0-ymoy+dzoom/2. ) |
| 140 |
fb(i) = (2.*y0*heavyy0 -ymoy+pis2) * ( ymoy - y0 ) |
| 141 |
ENDIF |
| 142 |
|
| 143 |
IF( 200.* fb(i) .LT. - fa(i) ) THEN |
| 144 |
fxm ( i) = - 1. |
| 145 |
ELSEIF( 200. * fb(i) .LT. fa(i) ) THEN |
| 146 |
fxm ( i) = 1. |
| 147 |
ELSE |
| 148 |
fxm(i) = TANH ( fa(i)/fb(i) ) |
| 149 |
ENDIF |
| 150 |
IF( ymoy.EQ.y0 ) fxm(i) = 1. |
| 151 |
IF (ymoy.EQ. y0min. OR.yt(i).EQ. y0max ) fxm(i) = -1. |
| 152 |
ffdy = ffdy + fxm(i) * ( yt(i) - yt(i-1) ) |
| 153 |
|
| 154 |
ENDDO |
| 155 |
|
| 156 |
beta = ( grossism * ffdy - pi ) / ( ffdy - pi ) |
| 157 |
|
| 158 |
IF( 2.*beta - grossism.LE. 0.) THEN |
| 159 |
|
| 160 |
WRITE(6,*) ' ** Attention ! La valeur beta calculee dans la rou |
| 161 |
,tine fyhyp est mauvaise ! ' |
| 162 |
WRITE(6,*)'Modifier les valeurs de grossismy ,tauy ou dzoomy', |
| 163 |
, ' et relancer ! *** ' |
| 164 |
STOP 1 |
| 165 |
|
| 166 |
ENDIF |
| 167 |
c |
| 168 |
c ..... calcul de Ytprim ..... |
| 169 |
c |
| 170 |
|
| 171 |
DO i = 0, nmax2 |
| 172 |
Ytprim(i) = beta + ( grossism - beta ) * fhyp(i) |
| 173 |
ENDDO |
| 174 |
|
| 175 |
c ..... Calcul de Yf ........ |
| 176 |
|
| 177 |
Yf(0) = - pis2 |
| 178 |
DO i = 1, nmax2 |
| 179 |
yypr(i) = beta + ( grossism - beta ) * fxm(i) |
| 180 |
ENDDO |
| 181 |
|
| 182 |
DO i=1,nmax2 |
| 183 |
Yf(i) = Yf(i-1) + yypr(i) * ( yt(i) - yt(i-1) ) |
| 184 |
ENDDO |
| 185 |
|
| 186 |
c **************************************************************** |
| 187 |
c |
| 188 |
c ..... yuv = 0. si calcul des latitudes aux pts. U ..... |
| 189 |
c ..... yuv = 0.5 si calcul des latitudes aux pts. V ..... |
| 190 |
c |
| 191 |
WRITE(6,18) |
| 192 |
c |
| 193 |
DO 5000 ik = 1,4 |
| 194 |
|
| 195 |
IF( ik.EQ.1 ) THEN |
| 196 |
yuv = 0. |
| 197 |
jlat = jjm + 1 |
| 198 |
ELSE IF ( ik.EQ.2 ) THEN |
| 199 |
yuv = 0.5 |
| 200 |
jlat = jjm |
| 201 |
ELSE IF ( ik.EQ.3 ) THEN |
| 202 |
yuv = 0.25 |
| 203 |
jlat = jjm |
| 204 |
ELSE IF ( ik.EQ.4 ) THEN |
| 205 |
yuv = 0.75 |
| 206 |
jlat = jjm |
| 207 |
ENDIF |
| 208 |
c |
| 209 |
yo1 = 0. |
| 210 |
DO 1500 j = 1,jlat |
| 211 |
yo1 = 0. |
| 212 |
ylon2 = - pis2 + pisjm * ( FLOAT(j) + yuv -1.) |
| 213 |
yfi = ylon2 |
| 214 |
c |
| 215 |
DO 250 it = nmax2,0,-1 |
| 216 |
IF( yfi.GE.Yf(it)) GO TO 350 |
| 217 |
250 CONTINUE |
| 218 |
it = 0 |
| 219 |
350 CONTINUE |
| 220 |
|
| 221 |
yi = yt(it) |
| 222 |
IF(it.EQ.nmax2) THEN |
| 223 |
it = nmax2 -1 |
| 224 |
Yf(it+1) = pis2 |
| 225 |
ENDIF |
| 226 |
c ................................................................. |
| 227 |
c .... Interpolation entre yi(it) et yi(it+1) pour avoir Y(yi) |
| 228 |
c ..... et Y'(yi) ..... |
| 229 |
c ................................................................. |
| 230 |
|
| 231 |
CALL coefpoly ( Yf(it),Yf(it+1),Ytprim(it), Ytprim(it+1), |
| 232 |
, yt(it),yt(it+1) , a0,a1,a2,a3 ) |
| 233 |
|
| 234 |
Yf1 = Yf(it) |
| 235 |
Yprimin = a1 + 2.* a2 * yi + 3.*a3 * yi *yi |
| 236 |
|
| 237 |
DO 500 iter = 1,300 |
| 238 |
yi = yi - ( Yf1 - yfi )/ Yprimin |
| 239 |
|
| 240 |
IF( ABS(yi-yo1).LE.epsilon) GO TO 550 |
| 241 |
yo1 = yi |
| 242 |
yi2 = yi * yi |
| 243 |
Yf1 = a0 + a1 * yi + a2 * yi2 + a3 * yi2 * yi |
| 244 |
Yprimin = a1 + 2.* a2 * yi + 3.* a3 * yi2 |
| 245 |
500 CONTINUE |
| 246 |
WRITE(6,*) ' Pas de solution ***** ',j,ylon2,iter |
| 247 |
STOP 2 |
| 248 |
550 CONTINUE |
| 249 |
c |
| 250 |
Yprimin = a1 + 2.* a2 * yi + 3.* a3 * yi* yi |
| 251 |
yprim(j) = pi / ( jjm * Yprimin ) |
| 252 |
yvrai(j) = yi |
| 253 |
|
| 254 |
1500 CONTINUE |
| 255 |
|
| 256 |
DO j = 1, jlat -1 |
| 257 |
IF( yvrai(j+1). LT. yvrai(j) ) THEN |
| 258 |
WRITE(6,*) ' PBS. avec rlat(',j+1,') plus petit que rlat(',j, |
| 259 |
, ')' |
| 260 |
STOP 3 |
| 261 |
ENDIF |
| 262 |
ENDDO |
| 263 |
|
| 264 |
WRITE(6,*) 'Reorganisation des latitudes pour avoir entre - pi/2' |
| 265 |
, ,' et pi/2 ' |
| 266 |
c |
| 267 |
IF( ik.EQ.1 ) THEN |
| 268 |
ypn = pis2 |
| 269 |
DO j = jlat,1,-1 |
| 270 |
IF( yvrai(j).LE. ypn ) GO TO 1502 |
| 271 |
ENDDO |
| 272 |
1502 CONTINUE |
| 273 |
|
| 274 |
jpn = j |
| 275 |
y00 = yvrai(jpn) |
| 276 |
deply = pis2 - y00 |
| 277 |
ENDIF |
| 278 |
|
| 279 |
DO j = 1, jjm +1 - jpn |
| 280 |
ylatt (j) = -pis2 - y00 + yvrai(jpn+j-1) |
| 281 |
yprimm(j) = yprim(jpn+j-1) |
| 282 |
ENDDO |
| 283 |
|
| 284 |
jjpn = jpn |
| 285 |
IF( jlat.EQ. jjm ) jjpn = jpn -1 |
| 286 |
|
| 287 |
DO j = 1,jjpn |
| 288 |
ylatt (j + jjm+1 -jpn) = yvrai(j) + deply |
| 289 |
yprimm(j + jjm+1 -jpn) = yprim(j) |
| 290 |
ENDDO |
| 291 |
|
| 292 |
c *********** Fin de la reorganisation ************* |
| 293 |
c |
| 294 |
1600 CONTINUE |
| 295 |
|
| 296 |
DO j = 1, jlat |
| 297 |
ylat(j) = ylatt( jlat +1 -j ) |
| 298 |
yprim(j) = yprimm( jlat +1 -j ) |
| 299 |
ENDDO |
| 300 |
|
| 301 |
DO j = 1, jlat |
| 302 |
yvrai(j) = ylat(j)*180./pi |
| 303 |
ENDDO |
| 304 |
|
| 305 |
IF( ik.EQ.1 ) THEN |
| 306 |
c WRITE(6,18) |
| 307 |
c WRITE(6,*) ' YLAT en U apres ( en deg. ) ' |
| 308 |
c WRITE(6,68) (yvrai(j),j=1,jlat) |
| 309 |
cc WRITE(6,*) ' YPRIM ' |
| 310 |
cc WRITE(6,445) ( yprim(j),j=1,jlat) |
| 311 |
|
| 312 |
DO j = 1, jlat |
| 313 |
rrlatu(j) = ylat( j ) |
| 314 |
yyprimu(j) = yprim( j ) |
| 315 |
ENDDO |
| 316 |
|
| 317 |
ELSE IF ( ik.EQ. 2 ) THEN |
| 318 |
c WRITE(6,18) |
| 319 |
c WRITE(6,*) ' YLAT en V apres ( en deg. ) ' |
| 320 |
c WRITE(6,68) (yvrai(j),j=1,jlat) |
| 321 |
cc WRITE(6,*)' YPRIM ' |
| 322 |
cc WRITE(6,445) ( yprim(j),j=1,jlat) |
| 323 |
|
| 324 |
DO j = 1, jlat |
| 325 |
rrlatv(j) = ylat( j ) |
| 326 |
yyprimv(j) = yprim( j ) |
| 327 |
ENDDO |
| 328 |
|
| 329 |
ELSE IF ( ik.EQ. 3 ) THEN |
| 330 |
c WRITE(6,18) |
| 331 |
c WRITE(6,*) ' YLAT en U + 0.75 apres ( en deg. ) ' |
| 332 |
c WRITE(6,68) (yvrai(j),j=1,jlat) |
| 333 |
cc WRITE(6,*) ' YPRIM ' |
| 334 |
cc WRITE(6,445) ( yprim(j),j=1,jlat) |
| 335 |
|
| 336 |
DO j = 1, jlat |
| 337 |
rlatu2(j) = ylat( j ) |
| 338 |
yprimu2(j) = yprim( j ) |
| 339 |
ENDDO |
| 340 |
|
| 341 |
ELSE IF ( ik.EQ. 4 ) THEN |
| 342 |
c WRITE(6,18) |
| 343 |
c WRITE(6,*) ' YLAT en U + 0.25 apres ( en deg. ) ' |
| 344 |
c WRITE(6,68)(yvrai(j),j=1,jlat) |
| 345 |
cc WRITE(6,*) ' YPRIM ' |
| 346 |
cc WRITE(6,68) ( yprim(j),j=1,jlat) |
| 347 |
|
| 348 |
DO j = 1, jlat |
| 349 |
rlatu1(j) = ylat( j ) |
| 350 |
yprimu1(j) = yprim( j ) |
| 351 |
ENDDO |
| 352 |
|
| 353 |
ENDIF |
| 354 |
|
| 355 |
5000 CONTINUE |
| 356 |
c |
| 357 |
WRITE(6,18) |
| 358 |
c |
| 359 |
c ..... fin de la boucle do 5000 ..... |
| 360 |
|
| 361 |
DO j = 1, jjm |
| 362 |
ylat(j) = rrlatu(j) - rrlatu(j+1) |
| 363 |
ENDDO |
| 364 |
champmin = 1.e12 |
| 365 |
champmax = -1.e12 |
| 366 |
DO j = 1, jjm |
| 367 |
champmin = MIN( champmin, ylat(j) ) |
| 368 |
champmax = MAX( champmax, ylat(j) ) |
| 369 |
ENDDO |
| 370 |
champmin = champmin * 180./pi |
| 371 |
champmax = champmax * 180./pi |
| 372 |
|
| 373 |
24 FORMAT(2x,'Parametres yzoom,gross,tau ,dzoom pour fyhyp ',4f8.3) |
| 374 |
18 FORMAT(/) |
| 375 |
68 FORMAT(1x,7f9.2) |
| 376 |
|
| 377 |
RETURN |
| 378 |
END |
Parent Directory
| 
Revision Log