| Directory: | ./ |
|---|---|
| File: | dyn/advtrac.f90 |
| Date: | 2022-01-11 19:19:34 |
| Exec | Total | Coverage | |
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| Lines: | 71 | 124 | 57.3% |
| Branches: | 79 | 128 | 61.7% |
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| 1 | ! $Id: advtrac.F90 2622 2016-09-04 06:12:02Z emillour $ | ||
| 2 | |||
| 3 | 2596 | SUBROUTINE advtrac(pbaru,pbarv , p, masse,q,iapptrac,teta, flxw, pk) | |
| 4 | ! Auteur : F. Hourdin | ||
| 5 | ! | ||
| 6 | ! Modif. P. Le Van (20/12/97) | ||
| 7 | ! F. Codron (10/99) | ||
| 8 | ! D. Le Croller (07/2001) | ||
| 9 | ! M.A Filiberti (04/2002) | ||
| 10 | ! | ||
| 11 | USE infotrac, ONLY: nqtot, iadv,nqperes,ok_iso_verif | ||
| 12 | USE control_mod, ONLY: iapp_tracvl, day_step | ||
| 13 | USE comconst_mod, ONLY: dtvr | ||
| 14 | |||
| 15 | IMPLICIT NONE | ||
| 16 | ! | ||
| 17 | include "dimensions.h" | ||
| 18 | include "paramet.h" | ||
| 19 | include "comdissip.h" | ||
| 20 | include "comgeom2.h" | ||
| 21 | include "description.h" | ||
| 22 | include "iniprint.h" | ||
| 23 | |||
| 24 | !------------------------------------------------------------------- | ||
| 25 | ! Arguments | ||
| 26 | !------------------------------------------------------------------- | ||
| 27 | INTEGER,INTENT(OUT) :: iapptrac | ||
| 28 | REAL,INTENT(IN) :: pbaru(ip1jmp1,llm) | ||
| 29 | REAL,INTENT(IN) :: pbarv(ip1jm,llm) | ||
| 30 | REAL,INTENT(INOUT) :: q(ip1jmp1,llm,nqtot) | ||
| 31 | REAL,INTENT(IN) :: masse(ip1jmp1,llm) | ||
| 32 | REAL,INTENT(IN) :: p( ip1jmp1,llmp1 ) | ||
| 33 | REAL,INTENT(IN) :: teta(ip1jmp1,llm) | ||
| 34 | REAL,INTENT(IN) :: pk(ip1jmp1,llm) | ||
| 35 | REAL,INTENT(OUT) :: flxw(ip1jmp1,llm) | ||
| 36 | !------------------------------------------------------------------- | ||
| 37 | ! Ajout PPM | ||
| 38 | !-------------------------------------------------------- | ||
| 39 | REAL massebx(ip1jmp1,llm),masseby(ip1jm,llm) | ||
| 40 | !------------------------------------------------------------- | ||
| 41 | ! Variables locales | ||
| 42 | !------------------------------------------------------------- | ||
| 43 | |||
| 44 | REAL pbaruc(ip1jmp1,llm),pbarvc(ip1jm,llm) | ||
| 45 | REAL massem(ip1jmp1,llm),zdp(ip1jmp1) | ||
| 46 | REAL pbarug(ip1jmp1,llm),pbarvg(ip1jm,llm),wg(ip1jmp1,llm) | ||
| 47 | REAL (kind=kind(1.d0)) :: t_initial, t_final, tps_cpu | ||
| 48 | INTEGER iadvtr | ||
| 49 | INTEGER ij,l,iq,iiq | ||
| 50 | REAL zdpmin, zdpmax | ||
| 51 | EXTERNAL minmax | ||
| 52 | SAVE iadvtr, massem, pbaruc, pbarvc | ||
| 53 | DATA iadvtr/0/ | ||
| 54 | !---------------------------------------------------------- | ||
| 55 | ! Rajouts pour PPM | ||
| 56 | !---------------------------------------------------------- | ||
| 57 | INTEGER indice,n | ||
| 58 | REAL dtbon ! Pas de temps adaptatif pour que CFL<1 | ||
| 59 | REAL CFLmaxz,aaa,bbb ! CFL maximum | ||
| 60 | REAL psppm(iim,jjp1) ! pression au sol | ||
| 61 | REAL unatppm(iim,jjp1,llm),vnatppm(iim,jjp1,llm) | ||
| 62 | 4802 | REAL qppm(iim*jjp1,llm,nqtot) | |
| 63 | REAL fluxwppm(iim,jjp1,llm) | ||
| 64 | REAL apppm(llmp1), bpppm(llmp1) | ||
| 65 | LOGICAL dum,fill | ||
| 66 | DATA fill/.true./ | ||
| 67 | DATA dum/.true./ | ||
| 68 | |||
| 69 | integer,save :: countcfl=0 | ||
| 70 | real cflx(ip1jmp1,llm) | ||
| 71 | real cfly(ip1jm,llm) | ||
| 72 | real cflz(ip1jmp1,llm) | ||
| 73 | real, save :: cflxmax(llm),cflymax(llm),cflzmax(llm) | ||
| 74 | |||
| 75 |
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2401 | IF(iadvtr.EQ.0) THEN |
| 76 | 481 | pbaruc(:,:)=0 | |
| 77 | 481 | pbarvc(:,:)=0 | |
| 78 | ENDIF | ||
| 79 | |||
| 80 | ! accumulation des flux de masse horizontaux | ||
| 81 |
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96040 | DO l=1,llm |
| 82 |
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102066510 | DO ij = 1,ip1jmp1 |
| 83 | 102066510 | pbaruc(ij,l) = pbaruc(ij,l) + pbaru(ij,l) | |
| 84 | ENDDO | ||
| 85 |
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98978824 | DO ij = 1,ip1jm |
| 86 | 98976423 | pbarvc(ij,l) = pbarvc(ij,l) + pbarv(ij,l) | |
| 87 | ENDDO | ||
| 88 | ENDDO | ||
| 89 | |||
| 90 | ! selection de la masse instantannee des mailles avant le transport. | ||
| 91 |
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2401 | IF(iadvtr.EQ.0) THEN |
| 92 | |||
| 93 | 481 | CALL SCOPY(ip1jmp1*llm,masse,1,massem,1) | |
| 94 | !cc CALL filtreg ( massem ,jjp1, llm,-2, 2, .TRUE., 1 ) | ||
| 95 | ! | ||
| 96 | ENDIF | ||
| 97 | |||
| 98 | 2401 | iadvtr = iadvtr+1 | |
| 99 | 2401 | iapptrac = iadvtr | |
| 100 | |||
| 101 | |||
| 102 | ! Test pour savoir si on advecte a ce pas de temps | ||
| 103 |
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2401 | IF ( iadvtr.EQ.iapp_tracvl ) THEN |
| 104 | |||
| 105 | !c .. Modif P.Le Van ( 20/12/97 ) .... | ||
| 106 | !c | ||
| 107 | |||
| 108 | ! traitement des flux de masse avant advection. | ||
| 109 | ! 1. calcul de w | ||
| 110 | ! 2. groupement des mailles pres du pole. | ||
| 111 | |||
| 112 | 480 | CALL groupe( massem, pbaruc,pbarvc, pbarug,pbarvg,wg ) | |
| 113 | |||
| 114 | ! ... Flux de masse diaganostiques traceurs | ||
| 115 |
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20405280 | flxw = wg / REAL(iapp_tracvl) |
| 116 | |||
| 117 | ! test sur l'eventuelle creation de valeurs negatives de la masse | ||
| 118 |
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18720 | DO l=1,llm-1 |
| 119 |
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18659520 | DO ij = iip2+1,ip1jm |
| 120 | zdp(ij) = pbarug(ij-1,l) - pbarug(ij,l) & | ||
| 121 | - pbarvg(ij-iip1,l) + pbarvg(ij,l) & | ||
| 122 | 18659520 | + wg(ij,l+1) - wg(ij,l) | |
| 123 | ENDDO | ||
| 124 | 18240 | CALL SCOPY( jjm -1 ,zdp(iip1+iip1),iip1,zdp(iip2),iip1 ) | |
| 125 |
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18677760 | DO ij = iip2,ip1jm |
| 126 | 18677760 | zdp(ij)= zdp(ij)*dtvr/ massem(ij,l) | |
| 127 | ENDDO | ||
| 128 | |||
| 129 | |||
| 130 | 18240 | CALL minmax ( ip1jm-iip1, zdp(iip2), zdpmin,zdpmax ) | |
| 131 | |||
| 132 |
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18720 | IF(MAX(ABS(zdpmin),ABS(zdpmax)).GT.0.5) THEN |
| 133 | ✗ | PRINT*,'WARNING DP/P l=',l,' MIN:',zdpmin, & | |
| 134 | ✗ | ' MAX:', zdpmax | |
| 135 | ENDIF | ||
| 136 | |||
| 137 | ENDDO | ||
| 138 | |||
| 139 | |||
| 140 | !------------------------------------------------------------------- | ||
| 141 | ! Calcul des criteres CFL en X, Y et Z | ||
| 142 | !------------------------------------------------------------------- | ||
| 143 | |||
| 144 |
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480 | if (countcfl == 0. ) then |
| 145 | 5 | cflxmax(:)=0. | |
| 146 | 5 | cflymax(:)=0. | |
| 147 | 5 | cflzmax(:)=0. | |
| 148 | endif | ||
| 149 | |||
| 150 | 480 | countcfl=countcfl+iapp_tracvl | |
| 151 | 480 | cflx(:,:)=0. | |
| 152 | 480 | cfly(:,:)=0. | |
| 153 | 480 | cflz(:,:)=0. | |
| 154 |
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19200 | do l=1,llm |
| 155 |
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19151040 | do ij=iip2,ip1jm-1 |
| 156 |
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19150560 | if (pbarug(ij,l)>=0.) then |
| 157 | 13641439 | cflx(ij,l)=pbarug(ij,l)*dtvr/masse(ij,l) | |
| 158 | else | ||
| 159 | 5490401 | cflx(ij,l)=-pbarug(ij,l)*dtvr/masse(ij+1,l) | |
| 160 | endif | ||
| 161 | enddo | ||
| 162 | enddo | ||
| 163 |
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19200 | do l=1,llm |
| 164 | 480 | do ij=iip2,ip1jm-1,iip1 | |
| 165 |
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580320 | cflx(ij+iip1,l)=cflx(ij,l) |
| 166 | enddo | ||
| 167 | enddo | ||
| 168 | |||
| 169 |
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19200 | do l=1,llm |
| 170 |
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19787520 | do ij=1,ip1jm |
| 171 |
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19787040 | if (pbarvg(ij,l)>=0.) then |
| 172 | 10029057 | cfly(ij,l)=pbarvg(ij,l)*dtvr/masse(ij,l) | |
| 173 | else | ||
| 174 | 9739263 | cfly(ij,l)=-pbarvg(ij,l)*dtvr/masse(ij+iip1,l) | |
| 175 | endif | ||
| 176 | enddo | ||
| 177 | enddo | ||
| 178 | |||
| 179 |
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18720 | do l=2,llm |
| 180 |
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19280160 | do ij=1,ip1jm |
| 181 |
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19279680 | if (wg(ij,l)>=0.) then |
| 182 | 9681935 | cflz(ij,l)=wg(ij,l)*dtvr/masse(ij,l) | |
| 183 | else | ||
| 184 | 9579505 | cflz(ij,l)=-wg(ij,l)*dtvr/masse(ij,l-1) | |
| 185 | endif | ||
| 186 | enddo | ||
| 187 | enddo | ||
| 188 | |||
| 189 |
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19200 | do l=1,llm |
| 190 |
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20423520 | cflxmax(l)=max(cflxmax(l),maxval(cflx(:,l))) |
| 191 |
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19805760 | cflymax(l)=max(cflymax(l),maxval(cfly(:,l))) |
| 192 |
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20424000 | cflzmax(l)=max(cflzmax(l),maxval(cflz(:,l))) |
| 193 | enddo | ||
| 194 | |||
| 195 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! | ||
| 196 | ! Par defaut, on sort le diagnostic des CFL tous les jours. | ||
| 197 | ! Si on veut le sortir a chaque pas d'advection en cas de plantage | ||
| 198 | ! if (countcfl==iapp_tracvl) then | ||
| 199 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! | ||
| 200 |
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480 | if (countcfl==day_step) then |
| 201 |
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200 | do l=1,llm |
| 202 | 195 | write(lunout,*) 'L, CFL[xyz]max:', l, cflxmax(l), cflymax(l), & | |
| 203 | 395 | cflzmax(l) | |
| 204 | enddo | ||
| 205 | 5 | countcfl=0 | |
| 206 | endif | ||
| 207 | |||
| 208 | !------------------------------------------------------------------- | ||
| 209 | ! Advection proprement dite (Modification Le Croller (07/2001) | ||
| 210 | !------------------------------------------------------------------- | ||
| 211 | |||
| 212 | !---------------------------------------------------- | ||
| 213 | ! Calcul des moyennes bas�es sur la masse | ||
| 214 | !---------------------------------------------------- | ||
| 215 | 480 | call massbar(massem,massebx,masseby) | |
| 216 | |||
| 217 | !----------------------------------------------------------- | ||
| 218 | ! Appel des sous programmes d'advection | ||
| 219 | !----------------------------------------------------------- | ||
| 220 | |||
| 221 |
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480 | if (ok_iso_verif) then |
| 222 | ✗ | write(*,*) 'advtrac 227' | |
| 223 | ✗ | call check_isotopes_seq(q,ip1jmp1,'advtrac 162') | |
| 224 | endif !if (ok_iso_verif) then | ||
| 225 | |||
| 226 |
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2880 | do iq=1,nqperes |
| 227 | ! call clock(t_initial) | ||
| 228 |
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2400 | if(iadv(iq) == 0) cycle |
| 229 | ! ---------------------------------------------------------------- | ||
| 230 | ! Schema de Van Leer I MUSCL | ||
| 231 | ! ---------------------------------------------------------------- | ||
| 232 |
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2880 | if(iadv(iq).eq.10) THEN |
| 233 | ! CRisi: on fait passer tout q pour avoir acces aux fils | ||
| 234 | |||
| 235 | !write(*,*) 'advtrac 239: iq,q(1721,19,:)=',iq,q(1721,19,:) | ||
| 236 | 1920 | call vlsplt(q,2.,massem,wg,pbarug,pbarvg,dtvr,iq) | |
| 237 | |||
| 238 | ! ---------------------------------------------------------------- | ||
| 239 | ! Schema "pseudo amont" + test sur humidite specifique | ||
| 240 | ! pour la vapeur d'eau. F. Codron | ||
| 241 | ! ---------------------------------------------------------------- | ||
| 242 |
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480 | else if(iadv(iq).eq.14) then |
| 243 | ! | ||
| 244 | !write(*,*) 'advtrac 248: iq,q(1721,19,:)=',iq,q(1721,19,:) | ||
| 245 | CALL vlspltqs( q, 2., massem, wg , & | ||
| 246 | 480 | pbarug,pbarvg,dtvr,p,pk,teta,iq) | |
| 247 | |||
| 248 | ! ---------------------------------------------------------------- | ||
| 249 | ! Schema de Frederic Hourdin | ||
| 250 | ! ---------------------------------------------------------------- | ||
| 251 | ✗ | else if(iadv(iq).eq.12) then | |
| 252 | ! Pas de temps adaptatif | ||
| 253 | ✗ | call adaptdt(iadv(iq),dtbon,n,pbarug,massem) | |
| 254 | ✗ | if (n.GT.1) then | |
| 255 | ✗ | write(*,*) 'WARNING horizontal dt=',dtbon,'dtvr=', & | |
| 256 | ✗ | dtvr,'n=',n | |
| 257 | endif | ||
| 258 | ✗ | do indice=1,n | |
| 259 | ✗ | call advn(q(1,1,iq),massem,wg,pbarug,pbarvg,dtbon,1) | |
| 260 | end do | ||
| 261 | ✗ | else if(iadv(iq).eq.13) then | |
| 262 | ! Pas de temps adaptatif | ||
| 263 | ✗ | call adaptdt(iadv(iq),dtbon,n,pbarug,massem) | |
| 264 | ✗ | if (n.GT.1) then | |
| 265 | ✗ | write(*,*) 'WARNING horizontal dt=',dtbon,'dtvr=', & | |
| 266 | ✗ | dtvr,'n=',n | |
| 267 | endif | ||
| 268 | ✗ | do indice=1,n | |
| 269 | ✗ | call advn(q(1,1,iq),massem,wg,pbarug,pbarvg,dtbon,2) | |
| 270 | end do | ||
| 271 | ! ---------------------------------------------------------------- | ||
| 272 | ! Schema de pente SLOPES | ||
| 273 | ! ---------------------------------------------------------------- | ||
| 274 | ✗ | else if (iadv(iq).eq.20) then | |
| 275 | ✗ | call pentes_ini (q(1,1,iq),wg,massem,pbarug,pbarvg,0) | |
| 276 | |||
| 277 | ! ---------------------------------------------------------------- | ||
| 278 | ! Schema de Prather | ||
| 279 | ! ---------------------------------------------------------------- | ||
| 280 | ✗ | else if (iadv(iq).eq.30) then | |
| 281 | ! Pas de temps adaptatif | ||
| 282 | ✗ | call adaptdt(iadv(iq),dtbon,n,pbarug,massem) | |
| 283 | ✗ | if (n.GT.1) then | |
| 284 | ✗ | write(*,*) 'WARNING horizontal dt=',dtbon,'dtvr=', & | |
| 285 | ✗ | dtvr,'n=',n | |
| 286 | endif | ||
| 287 | call prather(q(1,1,iq),wg,massem,pbarug,pbarvg, & | ||
| 288 | ✗ | n,dtbon) | |
| 289 | |||
| 290 | ! ---------------------------------------------------------------- | ||
| 291 | ! Schemas PPM Lin et Rood | ||
| 292 | ! ---------------------------------------------------------------- | ||
| 293 | ✗ | else if (iadv(iq).eq.11.OR.(iadv(iq).GE.16.AND. & | |
| 294 | iadv(iq).LE.18)) then | ||
| 295 | |||
| 296 | ! Test sur le flux horizontal | ||
| 297 | ! Pas de temps adaptatif | ||
| 298 | ✗ | call adaptdt(iadv(iq),dtbon,n,pbarug,massem) | |
| 299 | ✗ | if (n.GT.1) then | |
| 300 | ✗ | write(*,*) 'WARNING horizontal dt=',dtbon,'dtvr=', & | |
| 301 | ✗ | dtvr,'n=',n | |
| 302 | endif | ||
| 303 | ! Test sur le flux vertical | ||
| 304 | ✗ | CFLmaxz=0. | |
| 305 | ✗ | do l=2,llm | |
| 306 | ✗ | do ij=iip2,ip1jm | |
| 307 | ✗ | aaa=wg(ij,l)*dtvr/massem(ij,l) | |
| 308 | ✗ | CFLmaxz=max(CFLmaxz,aaa) | |
| 309 | ✗ | bbb=-wg(ij,l)*dtvr/massem(ij,l-1) | |
| 310 | ✗ | CFLmaxz=max(CFLmaxz,bbb) | |
| 311 | enddo | ||
| 312 | enddo | ||
| 313 | ✗ | if (CFLmaxz.GE.1) then | |
| 314 | ✗ | write(*,*) 'WARNING vertical','CFLmaxz=', CFLmaxz | |
| 315 | endif | ||
| 316 | |||
| 317 | !----------------------------------------------------------- | ||
| 318 | ! Ss-prg interface LMDZ.4->PPM3d | ||
| 319 | !----------------------------------------------------------- | ||
| 320 | |||
| 321 | call interpre(q(1,1,iq),qppm(1,1,iq),wg,fluxwppm,massem, & | ||
| 322 | apppm,bpppm,massebx,masseby,pbarug,pbarvg, & | ||
| 323 | ✗ | unatppm,vnatppm,psppm) | |
| 324 | |||
| 325 | ✗ | do indice=1,n | |
| 326 | !---------------------------------------------------------------- | ||
| 327 | ! VL (version PPM) horiz. et PPM vert. | ||
| 328 | !---------------------------------------------------------------- | ||
| 329 | ✗ | if (iadv(iq).eq.11) then | |
| 330 | ! Ss-prg PPM3d de Lin | ||
| 331 | call ppm3d(1,qppm(1,1,iq), & | ||
| 332 | psppm,psppm, & | ||
| 333 | unatppm,vnatppm,fluxwppm,dtbon,2,2,2,1, & | ||
| 334 | iim,jjp1,2,llm,apppm,bpppm,0.01,6400000, & | ||
| 335 | ✗ | fill,dum,220.) | |
| 336 | |||
| 337 | !------------------------------------------------------------- | ||
| 338 | ! Monotonic PPM | ||
| 339 | !------------------------------------------------------------- | ||
| 340 | ✗ | else if (iadv(iq).eq.16) then | |
| 341 | ! Ss-prg PPM3d de Lin | ||
| 342 | call ppm3d(1,qppm(1,1,iq), & | ||
| 343 | psppm,psppm, & | ||
| 344 | unatppm,vnatppm,fluxwppm,dtbon,3,3,3,1, & | ||
| 345 | iim,jjp1,2,llm,apppm,bpppm,0.01,6400000, & | ||
| 346 | ✗ | fill,dum,220.) | |
| 347 | !------------------------------------------------------------- | ||
| 348 | |||
| 349 | !------------------------------------------------------------- | ||
| 350 | ! Semi Monotonic PPM | ||
| 351 | !------------------------------------------------------------- | ||
| 352 | ✗ | else if (iadv(iq).eq.17) then | |
| 353 | ! Ss-prg PPM3d de Lin | ||
| 354 | call ppm3d(1,qppm(1,1,iq), & | ||
| 355 | psppm,psppm, & | ||
| 356 | unatppm,vnatppm,fluxwppm,dtbon,4,4,4,1, & | ||
| 357 | iim,jjp1,2,llm,apppm,bpppm,0.01,6400000, & | ||
| 358 | ✗ | fill,dum,220.) | |
| 359 | !------------------------------------------------------------- | ||
| 360 | |||
| 361 | !------------------------------------------------------------- | ||
| 362 | ! Positive Definite PPM | ||
| 363 | !------------------------------------------------------------- | ||
| 364 | ✗ | else if (iadv(iq).eq.18) then | |
| 365 | ! Ss-prg PPM3d de Lin | ||
| 366 | call ppm3d(1,qppm(1,1,iq), & | ||
| 367 | psppm,psppm, & | ||
| 368 | unatppm,vnatppm,fluxwppm,dtbon,5,5,5,1, & | ||
| 369 | iim,jjp1,2,llm,apppm,bpppm,0.01,6400000, & | ||
| 370 | ✗ | fill,dum,220.) | |
| 371 | !------------------------------------------------------------- | ||
| 372 | endif | ||
| 373 | enddo | ||
| 374 | !----------------------------------------------------------------- | ||
| 375 | ! Ss-prg interface PPM3d-LMDZ.4 | ||
| 376 | !----------------------------------------------------------------- | ||
| 377 | ✗ | call interpost(q(1,1,iq),qppm(1,1,iq)) | |
| 378 | endif | ||
| 379 | !---------------------------------------------------------------------- | ||
| 380 | |||
| 381 | !----------------------------------------------------------------- | ||
| 382 | ! On impose une seule valeur du traceur au p�le Sud j=jjm+1=jjp1 | ||
| 383 | ! et Nord j=1 | ||
| 384 | !----------------------------------------------------------------- | ||
| 385 | |||
| 386 | ! call traceurpole(q(1,1,iq),massem) | ||
| 387 | |||
| 388 | ! calcul du temps cpu pour un schema donne | ||
| 389 | |||
| 390 | ! call clock(t_final) | ||
| 391 | !ym tps_cpu=t_final-t_initial | ||
| 392 | !ym cpuadv(iq)=cpuadv(iq)+tps_cpu | ||
| 393 | |||
| 394 | end DO | ||
| 395 | |||
| 396 |
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480 | if (ok_iso_verif) then |
| 397 | ✗ | write(*,*) 'advtrac 402' | |
| 398 | ✗ | call check_isotopes_seq(q,ip1jmp1,'advtrac 397') | |
| 399 | endif !if (ok_iso_verif) then | ||
| 400 | |||
| 401 | !------------------------------------------------------------------ | ||
| 402 | ! on reinitialise a zero les flux de masse cumules | ||
| 403 | !--------------------------------------------------- | ||
| 404 | 480 | iadvtr=0 | |
| 405 | |||
| 406 | ENDIF ! if iadvtr.EQ.iapp_tracvl | ||
| 407 | |||
| 408 | 2401 | END SUBROUTINE advtrac | |
| 409 |