[524] | 1 | ! |
---|
[1403] | 2 | ! $Id: fyhyp.F 1403 2010-07-01 09:02:53Z evignon $ |
---|
[524] | 3 | ! |
---|
| 4 | c |
---|
| 5 | c |
---|
[650] | 6 | SUBROUTINE fyhyp ( yzoomdeg, grossism, dzooma,tau , |
---|
[524] | 7 | , rrlatu,yyprimu,rrlatv,yyprimv,rlatu2,yprimu2,rlatu1,yprimu1 , |
---|
| 8 | , champmin,champmax ) |
---|
| 9 | |
---|
| 10 | cc ... Version du 01/04/2001 .... |
---|
| 11 | |
---|
| 12 | IMPLICIT NONE |
---|
| 13 | c |
---|
| 14 | c ... Auteur : P. Le Van ... |
---|
| 15 | c |
---|
| 16 | c ....... d'apres formulations de R. Sadourny ....... |
---|
| 17 | c |
---|
| 18 | c Calcule les latitudes et derivees dans la grille du GCM pour une |
---|
| 19 | c fonction f(y) a tangente hyperbolique . |
---|
| 20 | c |
---|
| 21 | c grossism etant le grossissement ( = 2 si 2 fois, = 3 si 3 fois , etc) |
---|
| 22 | c dzoom etant la distance totale de la zone du zoom ( en radians ) |
---|
| 23 | c tau la raideur de la transition de l'interieur a l'exterieur du zoom |
---|
| 24 | c |
---|
| 25 | c |
---|
| 26 | c N.B : Il vaut mieux avoir : grossism * dzoom < pi/2 (radians) ,en lati. |
---|
| 27 | c ******************************************************************** |
---|
| 28 | c |
---|
| 29 | c |
---|
| 30 | #include "dimensions.h" |
---|
| 31 | #include "paramet.h" |
---|
| 32 | |
---|
| 33 | INTEGER nmax , nmax2 |
---|
| 34 | PARAMETER ( nmax = 30000, nmax2 = 2*nmax ) |
---|
| 35 | c |
---|
| 36 | c |
---|
| 37 | c ....... arguments d'entree ....... |
---|
| 38 | c |
---|
[650] | 39 | REAL yzoomdeg, grossism,dzooma,tau |
---|
[524] | 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 | |
---|
[650] | 51 | REAL dzoom |
---|
[1279] | 52 | REAL(KIND=8) ylat(jjp1), yprim(jjp1) |
---|
| 53 | REAL(KIND=8) yuv |
---|
| 54 | REAL(KIND=8) yt(0:nmax2) |
---|
| 55 | REAL(KIND=8) fhyp(0:nmax2),beta,Ytprim(0:nmax2),fxm(0:nmax2) |
---|
[524] | 56 | SAVE Ytprim, yt,Yf |
---|
[1279] | 57 | REAL(KIND=8) Yf(0:nmax2),yypr(0:nmax2) |
---|
| 58 | REAL(KIND=8) yvrai(jjp1), yprimm(jjp1),ylatt(jjp1) |
---|
| 59 | REAL(KIND=8) pi,depi,pis2,epsilon,y0,pisjm |
---|
| 60 | REAL(KIND=8) yo1,yi,ylon2,ymoy,Yprimin,champmin,champmax |
---|
| 61 | REAL(KIND=8) yfi,Yf1,ffdy |
---|
| 62 | REAL(KIND=8) ypn,deply,y00 |
---|
[524] | 63 | SAVE y00, deply |
---|
| 64 | |
---|
| 65 | INTEGER i,j,it,ik,iter,jlat |
---|
| 66 | INTEGER jpn,jjpn |
---|
| 67 | SAVE jpn |
---|
[1279] | 68 | REAL(KIND=8) a0,a1,a2,a3,yi2,heavyy0,heavyy0m |
---|
| 69 | REAL(KIND=8) fa(0:nmax2),fb(0:nmax2) |
---|
[524] | 70 | REAL y0min,y0max |
---|
| 71 | |
---|
[1279] | 72 | REAL(KIND=8) heavyside |
---|
[524] | 73 | |
---|
| 74 | pi = 2. * ASIN(1.) |
---|
| 75 | depi = 2. * pi |
---|
| 76 | pis2 = pi/2. |
---|
[1403] | 77 | pisjm = pi/ REAL(jjm) |
---|
[524] | 78 | epsilon = 1.e-3 |
---|
| 79 | y0 = yzoomdeg * pi/180. |
---|
| 80 | |
---|
[650] | 81 | IF( dzooma.LT.1.) THEN |
---|
| 82 | dzoom = dzooma * pi |
---|
| 83 | ELSEIF( dzooma.LT. 12. ) THEN |
---|
[524] | 84 | WRITE(6,*) ' Le param. dzoomy pour fyhyp est trop petit ! L aug |
---|
| 85 | ,menter et relancer ! ' |
---|
| 86 | STOP 1 |
---|
| 87 | ELSE |
---|
[650] | 88 | dzoom = dzooma * pi/180. |
---|
[524] | 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 |
---|
[1403] | 96 | yt(i) = - pis2 + REAL(i)* pi /nmax2 |
---|
[524] | 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 | CALL ABORT |
---|
| 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. |
---|
[1403] | 212 | ylon2 = - pis2 + pisjm * ( REAL(j) + yuv -1.) |
---|
[524] | 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 |
---|