[203] | 1 | c |
---|
| 2 | c $Header |
---|
| 3 | c |
---|
[2] | 4 | SUBROUTINE fxhyp ( xzoomdeg,grossism,dzoom,tau , |
---|
| 5 | , rlonm025,xprimm025,rlonv,xprimv,rlonu,xprimu,rlonp025,xprimp025) |
---|
| 6 | |
---|
| 7 | c Auteur : P. Le Van |
---|
| 8 | |
---|
| 9 | IMPLICIT NONE |
---|
| 10 | |
---|
| 11 | c Calcule les longitudes et derivees dans la grille du GCM pour une |
---|
| 12 | c fonction f(x) a tangente hyperbolique . |
---|
| 13 | c |
---|
| 14 | c grossism etant le grossissement ( = 2 si 2 fois, = 3 si 3 fois,etc.) |
---|
| 15 | c dzoom etant la distance totale de la zone du zoom |
---|
[203] | 16 | c tau la raideur de la transition de l'interieur a l'exterieur du zoom |
---|
[2] | 17 | c |
---|
[203] | 18 | c On doit avoir grossism x dzoom < pi ( radians ) , en longitude. |
---|
| 19 | c ******************************************************************** |
---|
[2] | 20 | |
---|
[203] | 21 | |
---|
[2] | 22 | INTEGER nmax, nmax2 |
---|
[203] | 23 | PARAMETER ( nmax = 30000, nmax2 = 2*nmax ) |
---|
[2] | 24 | |
---|
| 25 | #include "dimensions.h" |
---|
| 26 | #include "paramet.h" |
---|
| 27 | |
---|
| 28 | c ...... arguments d'entree ....... |
---|
| 29 | c |
---|
| 30 | REAL xzoomdeg,dzoom,tau,grossism |
---|
[203] | 31 | |
---|
| 32 | c ...... arguments de sortie ...... |
---|
| 33 | |
---|
[2] | 34 | REAL rlonm025(iip1),xprimm025(iip1),rlonv(iip1),xprimv(iip1), |
---|
| 35 | , rlonu(iip1),xprimu(iip1),rlonp025(iip1),xprimp025(iip1) |
---|
| 36 | |
---|
[203] | 37 | c .... variables locales .... |
---|
[2] | 38 | c |
---|
[203] | 39 | REAL*8 xlon(iip1),xprimm(iip1),xuv |
---|
| 40 | REAL*8 xtild(0:nmax2) |
---|
| 41 | REAL*8 fhyp(0:nmax),ffdx,beta,Xprimt(0:nmax2) |
---|
| 42 | REAL*8 Xf(0:nmax2),xxpr(0:nmax2) |
---|
| 43 | REAL*8 xvrai(iip1),xxprim(iip1) |
---|
| 44 | REAL*8 pi,depi,epsilon,xzoom,fa,fb |
---|
| 45 | REAL*8 Xf1, Xfi , a0,a1,a2,a3,xi2 |
---|
[2] | 46 | INTEGER i,it,ik,iter,ii,idif |
---|
[203] | 47 | REAL*8 xi,xo1,xmoy,xlon2,fxm,Xprimin |
---|
| 48 | REAL*8 champmin,champmax |
---|
[2] | 49 | INTEGER is2 |
---|
| 50 | SAVE is2 |
---|
[203] | 51 | REAL*8 heavyside |
---|
| 52 | EXTERNAL coefpoly,heavyside |
---|
[2] | 53 | |
---|
| 54 | pi = 2. * ASIN(1.) |
---|
| 55 | depi = 2. * pi |
---|
[203] | 56 | epsilon = 1.e-3 |
---|
[2] | 57 | xzoom = xzoomdeg * pi/180. |
---|
| 58 | |
---|
[203] | 59 | WRITE(6,24) xzoomdeg,grossism,tau,dzoom |
---|
| 60 | IF( dzoom.LT.1.) THEN |
---|
| 61 | dzoom = dzoom * depi |
---|
| 62 | ELSEIF( dzoom.LT. 25. ) THEN |
---|
| 63 | WRITE(6,*) ' Le param. dzoomy pour fxhyp est trop petit ! L aug |
---|
| 64 | ,menter et relancer ! ' |
---|
| 65 | STOP 1 |
---|
| 66 | ELSE |
---|
| 67 | dzoom = dzoom * pi/180. |
---|
| 68 | ENDIF |
---|
[2] | 69 | |
---|
| 70 | DO i = 0, nmax2 |
---|
[203] | 71 | xtild(i) = - pi + FLOAT(i) * depi /nmax2 |
---|
[2] | 72 | ENDDO |
---|
| 73 | |
---|
[203] | 74 | DO i = 0, nmax2 |
---|
| 75 | |
---|
| 76 | fa = tau* ( dzoom/2. - xtild(i) ) |
---|
| 77 | fb = xtild(i) * ( pi - xtild(i) ) |
---|
| 78 | |
---|
| 79 | |
---|
| 80 | IF( 200.* fb .LT. - fa ) THEN |
---|
| 81 | fhyp ( i) = - 1. |
---|
| 82 | ELSEIF( 200. * fb .LT. fa ) THEN |
---|
| 83 | fhyp ( i) = 1. |
---|
| 84 | ELSE |
---|
| 85 | fhyp(i) = TANH ( fa/fb ) |
---|
| 86 | ENDIF |
---|
| 87 | |
---|
| 88 | IF ( xtild(i).EQ. 0. ) fhyp(i) = 1. |
---|
| 89 | IF ( xtild(i).EQ. pi ) fhyp(i) = -1. |
---|
| 90 | |
---|
[2] | 91 | ENDDO |
---|
| 92 | |
---|
| 93 | cc .... Calcul de beta .... |
---|
[203] | 94 | c ............................ |
---|
[2] | 95 | |
---|
[203] | 96 | ffdx = 0. |
---|
| 97 | |
---|
| 98 | DO i = nmax +1,nmax2 |
---|
| 99 | |
---|
| 100 | xmoy = 0.5 * ( xtild(i-1) + xtild( i ) ) |
---|
| 101 | fa = tau* ( dzoom/2. - xmoy ) |
---|
| 102 | fb = xmoy * ( pi - xmoy ) |
---|
| 103 | |
---|
| 104 | IF( 200.* fb .LT. - fa ) THEN |
---|
| 105 | fxm = - 1. |
---|
| 106 | ELSEIF( 200. * fb .LT. fa ) THEN |
---|
| 107 | fxm = 1. |
---|
| 108 | ELSE |
---|
| 109 | fxm = TANH ( fa/fb ) |
---|
| 110 | ENDIF |
---|
| 111 | |
---|
| 112 | IF ( xmoy.EQ. 0. ) fhyp(i) = 1. |
---|
| 113 | IF ( xmoy.EQ. pi ) fhyp(i) = -1. |
---|
| 114 | ffdx = ffdx + fxm * ( xtild(i) - xtild(i-1) ) |
---|
| 115 | |
---|
[2] | 116 | ENDDO |
---|
| 117 | |
---|
[203] | 118 | beta = ( grossism * ffdx - pi ) / ( ffdx - pi ) |
---|
| 119 | ccc WRITE(6,*) ' ** X beta **',beta,grossism |
---|
| 120 | |
---|
| 121 | IF( 2.*beta - grossism.LE. 0.) THEN |
---|
| 122 | WRITE(6,*) ' ** Attention ! La valeur beta calculee dans la rou |
---|
| 123 | ,tine fxhyp est mauvaise ! ' |
---|
| 124 | WRITE(6,*)'Modifier les valeurs de grossismx ,tau ou dzoomx ', |
---|
| 125 | , ' et relancer ! *** ' |
---|
| 126 | CALL ABORT |
---|
| 127 | ENDIF |
---|
[2] | 128 | c |
---|
| 129 | c ..... calcul de Xprimt ..... |
---|
| 130 | c |
---|
| 131 | |
---|
[203] | 132 | DO i = nmax, nmax2 |
---|
[2] | 133 | Xprimt(i) = beta + ( grossism - beta ) * fhyp(i) |
---|
| 134 | ENDDO |
---|
| 135 | c |
---|
[203] | 136 | DO i = nmax+1, nmax2 |
---|
[2] | 137 | Xprimt( nmax2 - i ) = Xprimt( i ) |
---|
| 138 | ENDDO |
---|
| 139 | c |
---|
| 140 | |
---|
| 141 | c ..... Calcul de Xf ........ |
---|
| 142 | |
---|
[203] | 143 | Xf(0) = - pi |
---|
| 144 | |
---|
| 145 | DO i = nmax +1, nmax2 |
---|
| 146 | |
---|
| 147 | xmoy = 0.5 * ( xtild(i-1) + xtild( i ) ) |
---|
| 148 | fa = tau* ( dzoom/2. - xmoy ) |
---|
| 149 | fb = xmoy * ( pi - xmoy ) |
---|
| 150 | |
---|
| 151 | IF( 200.* fb .LT. - fa ) THEN |
---|
| 152 | fxm = - 1. |
---|
| 153 | ELSEIF( 200. * fb .LT. fa ) THEN |
---|
| 154 | fxm = 1. |
---|
| 155 | ELSE |
---|
| 156 | fxm = TANH ( fa/fb ) |
---|
| 157 | ENDIF |
---|
| 158 | |
---|
| 159 | IF ( xmoy.EQ. 0. ) fxm = 1. |
---|
| 160 | IF ( xmoy.EQ. pi ) fxm = -1. |
---|
| 161 | xxpr(i) = beta + ( grossism - beta ) * fxm |
---|
| 162 | |
---|
[2] | 163 | ENDDO |
---|
| 164 | |
---|
[203] | 165 | DO i = nmax+1, nmax2 |
---|
| 166 | xxpr(nmax2-i+1) = xxpr(i) |
---|
[2] | 167 | ENDDO |
---|
| 168 | |
---|
| 169 | DO i=1,nmax2 |
---|
| 170 | Xf(i) = Xf(i-1) + xxpr(i) * ( xtild(i) - xtild(i-1) ) |
---|
| 171 | ENDDO |
---|
| 172 | |
---|
| 173 | |
---|
| 174 | c ***************************************************************** |
---|
| 175 | c |
---|
| 176 | |
---|
| 177 | c ..... xuv = 0. si calcul aux pts scalaires ........ |
---|
| 178 | c ..... xuv = 0.5 si calcul aux pts U ........ |
---|
| 179 | c |
---|
| 180 | c |
---|
| 181 | DO 5000 ik = 1, 4 |
---|
| 182 | |
---|
| 183 | IF( ik.EQ.1 ) THEN |
---|
| 184 | xuv = - 0.25 |
---|
| 185 | ELSE IF ( ik.EQ.2 ) THEN |
---|
| 186 | xuv = 0. |
---|
| 187 | ELSE IF ( ik.EQ.3 ) THEN |
---|
| 188 | xuv = 0.5 |
---|
| 189 | ELSE IF ( ik.EQ.4 ) THEN |
---|
| 190 | xuv = 0.25 |
---|
| 191 | ENDIF |
---|
| 192 | |
---|
[203] | 193 | xo1 = 0. |
---|
[2] | 194 | |
---|
| 195 | DO 1500 i = 1, iim |
---|
| 196 | |
---|
[203] | 197 | xlon2 = - pi + (FLOAT(i) + xuv - 0.75) * depi / FLOAT(iim) |
---|
[2] | 198 | |
---|
[203] | 199 | Xfi = xlon2 |
---|
[2] | 200 | c |
---|
| 201 | DO 250 it = nmax2,0,-1 |
---|
[203] | 202 | IF( Xfi.GE.Xf(it)) GO TO 350 |
---|
[2] | 203 | 250 CONTINUE |
---|
| 204 | |
---|
| 205 | it = 0 |
---|
| 206 | |
---|
| 207 | 350 CONTINUE |
---|
| 208 | |
---|
[203] | 209 | c ...... Calcul de Xf(xi) ...... |
---|
| 210 | c |
---|
| 211 | xi = xtild(it) |
---|
[2] | 212 | |
---|
[203] | 213 | IF(it.EQ.nmax2) THEN |
---|
| 214 | it = nmax2 -1 |
---|
| 215 | Xf(it+1) = pi |
---|
| 216 | ENDIF |
---|
| 217 | c ..................................................................... |
---|
| 218 | c |
---|
| 219 | c Appel de la routine qui calcule les coefficients a0,a1,a2,a3 d'un |
---|
| 220 | c polynome de degre 3 qui passe par les points (Xf(it),xtild(it) ) |
---|
| 221 | c et (Xf(it+1),xtild(it+1) ) |
---|
[2] | 222 | |
---|
[203] | 223 | CALL coefpoly ( Xf(it),Xf(it+1),Xprimt(it),Xprimt(it+1), |
---|
| 224 | , xtild(it),xtild(it+1), a0, a1, a2, a3 ) |
---|
| 225 | |
---|
| 226 | Xf1 = Xf(it) |
---|
| 227 | Xprimin = a1 + 2.* a2 * xi + 3.*a3 * xi *xi |
---|
| 228 | |
---|
| 229 | DO 500 iter = 1,300 |
---|
| 230 | xi = xi - ( Xf1 - Xfi )/ Xprimin |
---|
| 231 | |
---|
| 232 | IF( ABS(xi-xo1).LE.epsilon) GO TO 550 |
---|
| 233 | xo1 = xi |
---|
| 234 | xi2 = xi * xi |
---|
| 235 | Xf1 = a0 + a1 * xi + a2 * xi2 + a3 * xi2 * xi |
---|
| 236 | Xprimin = a1 + 2.* a2 * xi + 3.* a3 * xi2 |
---|
[2] | 237 | 500 CONTINUE |
---|
[203] | 238 | WRITE(6,*) ' Pas de solution ***** ',i,xlon2,iter |
---|
| 239 | STOP 6 |
---|
[2] | 240 | 550 CONTINUE |
---|
| 241 | |
---|
[203] | 242 | xxprim(i) = depi/ ( FLOAT(iim) * Xprimin ) |
---|
| 243 | xvrai(i) = xi + xzoom |
---|
[2] | 244 | |
---|
| 245 | 1500 CONTINUE |
---|
| 246 | |
---|
| 247 | DO i = 1 , iim |
---|
[203] | 248 | xlon(i) = xvrai(i) |
---|
[2] | 249 | xprimm(i) = xxprim(i) |
---|
| 250 | ENDDO |
---|
| 251 | |
---|
| 252 | DO i = 1, iim -1 |
---|
| 253 | IF( xvrai(i+1). LT. xvrai(i) ) THEN |
---|
[203] | 254 | WRITE(6,*) ' PBS. avec rlonu(',i+1,') plus petit que rlonu(',i, |
---|
| 255 | , ')' |
---|
| 256 | STOP 7 |
---|
[2] | 257 | ENDIF |
---|
| 258 | ENDDO |
---|
| 259 | c |
---|
| 260 | c ... Reorganisation des longitudes pour les avoir entre - pi et pi .. |
---|
| 261 | c ........................................................................ |
---|
| 262 | |
---|
| 263 | champmin = 1.e12 |
---|
| 264 | champmax = -1.e12 |
---|
| 265 | DO i = 1, iim |
---|
| 266 | champmin = MIN( champmin,xvrai(i) ) |
---|
| 267 | champmax = MAX( champmax,xvrai(i) ) |
---|
| 268 | ENDDO |
---|
| 269 | |
---|
| 270 | IF(champmin .GE. - pi .AND. champmax.LE. pi ) THEN |
---|
| 271 | GO TO 1600 |
---|
| 272 | ELSE |
---|
[203] | 273 | WRITE(6,18) |
---|
| 274 | WRITE(6,*) 'Reorganisation des longitudes pour avoir entre - pi', |
---|
| 275 | , ' et pi ' |
---|
[2] | 276 | c |
---|
| 277 | IF( xzoom.LE.0.) THEN |
---|
| 278 | IF( ik.EQ. 1 ) THEN |
---|
| 279 | DO i = 1, iim |
---|
| 280 | IF( xvrai(i).GE. - pi ) GO TO 80 |
---|
| 281 | ENDDO |
---|
[203] | 282 | WRITE(6,*) ' PBS. 1 ! Xvrai plus petit que - pi ! ' |
---|
| 283 | STOP 8 |
---|
[2] | 284 | 80 CONTINUE |
---|
| 285 | is2 = i |
---|
| 286 | ENDIF |
---|
| 287 | |
---|
| 288 | IF( is2.NE. 1 ) THEN |
---|
| 289 | DO ii = is2 , iim |
---|
| 290 | xlon (ii-is2+1) = xvrai(ii) |
---|
| 291 | xprimm(ii-is2+1) = xxprim(ii) |
---|
| 292 | ENDDO |
---|
| 293 | DO ii = 1 , is2 -1 |
---|
| 294 | xlon (ii+iim-is2+1) = xvrai(ii) + depi |
---|
| 295 | xprimm(ii+iim-is2+1) = xxprim(ii) |
---|
| 296 | ENDDO |
---|
| 297 | ENDIF |
---|
| 298 | ELSE |
---|
| 299 | IF( ik.EQ.1 ) THEN |
---|
| 300 | DO i = iim,1,-1 |
---|
| 301 | IF( xvrai(i).LE. pi ) GO TO 90 |
---|
| 302 | ENDDO |
---|
[203] | 303 | WRITE(6,*) ' PBS. 2 ! Xvrai plus grand que pi ! ' |
---|
| 304 | STOP 9 |
---|
[2] | 305 | 90 CONTINUE |
---|
| 306 | is2 = i |
---|
| 307 | ENDIF |
---|
| 308 | idif = iim -is2 |
---|
| 309 | DO ii = 1, is2 |
---|
| 310 | xlon (ii+idif) = xvrai(ii) |
---|
| 311 | xprimm(ii+idif) = xxprim(ii) |
---|
| 312 | ENDDO |
---|
| 313 | DO ii = 1, idif |
---|
| 314 | xlon (ii) = xvrai (ii+is2) - depi |
---|
| 315 | xprimm(ii) = xxprim(ii+is2) |
---|
| 316 | ENDDO |
---|
| 317 | ENDIF |
---|
| 318 | ENDIF |
---|
| 319 | c |
---|
| 320 | c ......... Fin de la reorganisation ............................ |
---|
| 321 | |
---|
| 322 | 1600 CONTINUE |
---|
| 323 | |
---|
| 324 | |
---|
| 325 | xlon ( iip1) = xlon(1) + depi |
---|
| 326 | xprimm( iip1 ) = xprimm (1 ) |
---|
| 327 | |
---|
| 328 | DO i = 1, iim+1 |
---|
| 329 | xvrai(i) = xlon(i)*180./pi |
---|
| 330 | ENDDO |
---|
| 331 | |
---|
[203] | 332 | IF( ik.EQ.1 ) THEN |
---|
| 333 | WRITE(6,*) ' XLON aux pts. V-0.25 apres ( en deg. ) ' |
---|
| 334 | WRITE(6,18) |
---|
| 335 | WRITE(6,68) xvrai |
---|
| 336 | ccc WRITE(6,*) ' XPRIM k ',ik |
---|
| 337 | ccc WRITE(6,566) xprimm |
---|
[2] | 338 | |
---|
| 339 | DO i = 1,iim + 1 |
---|
| 340 | rlonm025(i) = xlon( i ) |
---|
| 341 | xprimm025(i) = xprimm(i) |
---|
| 342 | ENDDO |
---|
[203] | 343 | |
---|
[2] | 344 | ELSE IF( ik.EQ.2 ) THEN |
---|
[203] | 345 | WRITE(6,18) |
---|
| 346 | WRITE(6,*) ' XLON aux pts. V apres ( en deg. ) ' |
---|
| 347 | WRITE(6,68) xvrai |
---|
| 348 | ccc WRITE(6,*) ' XPRIM k ',ik |
---|
| 349 | ccc WRITE(6,566) xprimm |
---|
| 350 | |
---|
[2] | 351 | DO i = 1,iim + 1 |
---|
| 352 | rlonv(i) = xlon( i ) |
---|
| 353 | xprimv(i) = xprimm(i) |
---|
| 354 | ENDDO |
---|
[203] | 355 | |
---|
| 356 | ELSE IF( ik.EQ.3) THEN |
---|
| 357 | WRITE(6,18) |
---|
| 358 | WRITE(6,*) ' XLON aux pts. U apres ( en deg. ) ' |
---|
| 359 | WRITE(6,68) xvrai |
---|
| 360 | ccc WRITE(6,*) ' XPRIM ik ',ik |
---|
| 361 | ccc WRITE(6,566) xprimm |
---|
| 362 | |
---|
[2] | 363 | DO i = 1,iim + 1 |
---|
| 364 | rlonu(i) = xlon( i ) |
---|
| 365 | xprimu(i) = xprimm(i) |
---|
| 366 | ENDDO |
---|
[203] | 367 | |
---|
[2] | 368 | ELSE IF( ik.EQ.4 ) THEN |
---|
[203] | 369 | WRITE(6,18) |
---|
| 370 | WRITE(6,*) ' XLON aux pts. V+0.25 apres ( en deg. ) ' |
---|
| 371 | WRITE(6,68) xvrai |
---|
| 372 | ccc WRITE(6,*) ' XPRIM ik ',ik |
---|
| 373 | ccc WRITE(6,566) xprimm |
---|
| 374 | |
---|
[2] | 375 | DO i = 1,iim + 1 |
---|
| 376 | rlonp025(i) = xlon( i ) |
---|
| 377 | xprimp025(i) = xprimm(i) |
---|
| 378 | ENDDO |
---|
[203] | 379 | |
---|
[2] | 380 | ENDIF |
---|
| 381 | |
---|
| 382 | 5000 CONTINUE |
---|
| 383 | c |
---|
[203] | 384 | c ........... fin de la boucle do 5000 ............ |
---|
[2] | 385 | |
---|
[203] | 386 | DO i = 1, iim |
---|
| 387 | xlon(i) = rlonv(i+1) - rlonv(i) |
---|
[2] | 388 | ENDDO |
---|
[203] | 389 | champmin = 1.e12 |
---|
| 390 | champmax = -1.e12 |
---|
[2] | 391 | DO i = 1, iim |
---|
[203] | 392 | champmin = MIN( champmin, xlon(i) ) |
---|
| 393 | champmax = MAX( champmax, xlon(i) ) |
---|
[2] | 394 | ENDDO |
---|
[203] | 395 | champmin = champmin * 180./pi |
---|
| 396 | champmax = champmax * 180./pi |
---|
[2] | 397 | |
---|
[203] | 398 | WRITE(6,18) |
---|
| 399 | WRITE(6,*) ' Longitudes ' |
---|
| 400 | WRITE(6,18) |
---|
| 401 | WRITE(6,3) champmin, champmax |
---|
| 402 | WRITE(6,*) ' Si cette derniere est trop lache , modifiez les par |
---|
| 403 | ,ametres grossism , tau , dzoom pour X et repasser ! ' |
---|
| 404 | WRITE(6,18) |
---|
[2] | 405 | |
---|
[203] | 406 | 3 Format(1x, ' Au centre du zoom , la longueur de la maille est', |
---|
| 407 | , ' d environ ',f8.2 ,' degres ', |
---|
| 408 | , ' alors que la maille en dehors de la zone du zoom est d environ |
---|
| 409 | , ', f8.2,' degres ' ) |
---|
| 410 | 18 FORMAT(/) |
---|
| 411 | 24 FORMAT(2x,' Parametres yzoom,gross,tau ,dzoom pour fyhyp ',4f8.3) |
---|
| 412 | 68 FORMAT(1x,7f9.2) |
---|
[2] | 413 | |
---|
[203] | 414 | RETURN |
---|
| 415 | END |
---|