[1279] | 1 | ! $Id: advtrac.F90 1987 2014-02-24 15:05:47Z emillour $ |
---|
[1146] | 2 | |
---|
[1549] | 3 | 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 | ! |
---|
[1987] | 11 | USE infotrac, ONLY: nqtot, iadv |
---|
| 12 | USE control_mod, ONLY: iapp_tracvl, day_step |
---|
[524] | 13 | |
---|
| 14 | |
---|
[1549] | 15 | IMPLICIT NONE |
---|
| 16 | ! |
---|
| 17 | include "dimensions.h" |
---|
| 18 | include "paramet.h" |
---|
| 19 | include "comconst.h" |
---|
| 20 | include "comvert.h" |
---|
| 21 | include "comdissip.h" |
---|
| 22 | include "comgeom2.h" |
---|
| 23 | include "logic.h" |
---|
| 24 | include "temps.h" |
---|
| 25 | include "ener.h" |
---|
| 26 | include "description.h" |
---|
| 27 | include "iniprint.h" |
---|
[524] | 28 | |
---|
[1549] | 29 | !------------------------------------------------------------------- |
---|
| 30 | ! Arguments |
---|
| 31 | !------------------------------------------------------------------- |
---|
[1987] | 32 | INTEGER,INTENT(OUT) :: iapptrac |
---|
| 33 | REAL,INTENT(IN) :: pbaru(ip1jmp1,llm) |
---|
| 34 | REAL,INTENT(IN) :: pbarv(ip1jm,llm) |
---|
| 35 | REAL,INTENT(INOUT) :: q(ip1jmp1,llm,nqtot) |
---|
| 36 | REAL,INTENT(IN) :: masse(ip1jmp1,llm) |
---|
| 37 | REAL,INTENT(IN) :: p( ip1jmp1,llmp1 ) |
---|
| 38 | REAL,INTENT(IN) :: teta(ip1jmp1,llm) |
---|
| 39 | REAL,INTENT(IN) :: pk(ip1jmp1,llm) |
---|
| 40 | REAL,INTENT(OUT) :: flxw(ip1jmp1,llm) |
---|
| 41 | !------------------------------------------------------------------- |
---|
[1549] | 42 | ! Ajout PPM |
---|
| 43 | !-------------------------------------------------------- |
---|
| 44 | REAL massebx(ip1jmp1,llm),masseby(ip1jm,llm) |
---|
| 45 | !------------------------------------------------------------- |
---|
| 46 | ! Variables locales |
---|
| 47 | !------------------------------------------------------------- |
---|
[524] | 48 | |
---|
[1549] | 49 | REAL pbaruc(ip1jmp1,llm),pbarvc(ip1jm,llm) |
---|
| 50 | REAL massem(ip1jmp1,llm),zdp(ip1jmp1) |
---|
| 51 | REAL pbarug(ip1jmp1,llm),pbarvg(ip1jm,llm),wg(ip1jmp1,llm) |
---|
| 52 | REAL (kind=kind(1.d0)) :: t_initial, t_final, tps_cpu |
---|
| 53 | INTEGER iadvtr |
---|
| 54 | INTEGER ij,l,iq,iiq |
---|
| 55 | REAL zdpmin, zdpmax |
---|
| 56 | EXTERNAL minmax |
---|
| 57 | SAVE iadvtr, massem, pbaruc, pbarvc |
---|
| 58 | DATA iadvtr/0/ |
---|
| 59 | !---------------------------------------------------------- |
---|
| 60 | ! Rajouts pour PPM |
---|
| 61 | !---------------------------------------------------------- |
---|
| 62 | INTEGER indice,n |
---|
| 63 | REAL dtbon ! Pas de temps adaptatif pour que CFL<1 |
---|
| 64 | REAL CFLmaxz,aaa,bbb ! CFL maximum |
---|
| 65 | REAL psppm(iim,jjp1) ! pression au sol |
---|
| 66 | REAL unatppm(iim,jjp1,llm),vnatppm(iim,jjp1,llm) |
---|
| 67 | REAL qppm(iim*jjp1,llm,nqtot) |
---|
| 68 | REAL fluxwppm(iim,jjp1,llm) |
---|
| 69 | REAL apppm(llmp1), bpppm(llmp1) |
---|
| 70 | LOGICAL dum,fill |
---|
| 71 | DATA fill/.true./ |
---|
| 72 | DATA dum/.true./ |
---|
[524] | 73 | |
---|
[1549] | 74 | integer,save :: countcfl=0 |
---|
| 75 | real cflx(ip1jmp1,llm) |
---|
| 76 | real cfly(ip1jm,llm) |
---|
| 77 | real cflz(ip1jmp1,llm) |
---|
| 78 | real, save :: cflxmax(llm),cflymax(llm),cflzmax(llm) |
---|
[524] | 79 | |
---|
[1549] | 80 | IF(iadvtr.EQ.0) THEN |
---|
| 81 | CALL initial0(ijp1llm,pbaruc) |
---|
| 82 | CALL initial0(ijmllm,pbarvc) |
---|
| 83 | ENDIF |
---|
[524] | 84 | |
---|
[1549] | 85 | ! accumulation des flux de masse horizontaux |
---|
| 86 | DO l=1,llm |
---|
| 87 | DO ij = 1,ip1jmp1 |
---|
| 88 | pbaruc(ij,l) = pbaruc(ij,l) + pbaru(ij,l) |
---|
| 89 | ENDDO |
---|
| 90 | DO ij = 1,ip1jm |
---|
| 91 | pbarvc(ij,l) = pbarvc(ij,l) + pbarv(ij,l) |
---|
| 92 | ENDDO |
---|
| 93 | ENDDO |
---|
[524] | 94 | |
---|
[1549] | 95 | ! selection de la masse instantannee des mailles avant le transport. |
---|
| 96 | IF(iadvtr.EQ.0) THEN |
---|
[524] | 97 | |
---|
[1549] | 98 | CALL SCOPY(ip1jmp1*llm,masse,1,massem,1) |
---|
| 99 | !cc CALL filtreg ( massem ,jjp1, llm,-2, 2, .TRUE., 1 ) |
---|
| 100 | ! |
---|
| 101 | ENDIF |
---|
[524] | 102 | |
---|
[1549] | 103 | iadvtr = iadvtr+1 |
---|
| 104 | iapptrac = iadvtr |
---|
[524] | 105 | |
---|
| 106 | |
---|
[1549] | 107 | ! Test pour savoir si on advecte a ce pas de temps |
---|
| 108 | IF ( iadvtr.EQ.iapp_tracvl ) THEN |
---|
[524] | 109 | |
---|
[1549] | 110 | !c .. Modif P.Le Van ( 20/12/97 ) .... |
---|
| 111 | !c |
---|
[524] | 112 | |
---|
[1549] | 113 | ! traitement des flux de masse avant advection. |
---|
| 114 | ! 1. calcul de w |
---|
| 115 | ! 2. groupement des mailles pres du pole. |
---|
[524] | 116 | |
---|
[1549] | 117 | CALL groupe( massem, pbaruc,pbarvc, pbarug,pbarvg,wg ) |
---|
[524] | 118 | |
---|
[1549] | 119 | ! ... Flux de masse diaganostiques traceurs |
---|
| 120 | flxw = wg / REAL(iapp_tracvl) |
---|
[524] | 121 | |
---|
[1549] | 122 | ! test sur l'eventuelle creation de valeurs negatives de la masse |
---|
| 123 | DO l=1,llm-1 |
---|
| 124 | DO ij = iip2+1,ip1jm |
---|
| 125 | zdp(ij) = pbarug(ij-1,l) - pbarug(ij,l) & |
---|
| 126 | - pbarvg(ij-iip1,l) + pbarvg(ij,l) & |
---|
| 127 | + wg(ij,l+1) - wg(ij,l) |
---|
| 128 | ENDDO |
---|
| 129 | CALL SCOPY( jjm -1 ,zdp(iip1+iip1),iip1,zdp(iip2),iip1 ) |
---|
| 130 | DO ij = iip2,ip1jm |
---|
| 131 | zdp(ij)= zdp(ij)*dtvr/ massem(ij,l) |
---|
| 132 | ENDDO |
---|
[524] | 133 | |
---|
| 134 | |
---|
[1549] | 135 | CALL minmax ( ip1jm-iip1, zdp(iip2), zdpmin,zdpmax ) |
---|
[524] | 136 | |
---|
[1549] | 137 | IF(MAX(ABS(zdpmin),ABS(zdpmax)).GT.0.5) THEN |
---|
| 138 | PRINT*,'WARNING DP/P l=',l,' MIN:',zdpmin, & |
---|
| 139 | ' MAX:', zdpmax |
---|
| 140 | ENDIF |
---|
[1279] | 141 | |
---|
[1549] | 142 | ENDDO |
---|
[1279] | 143 | |
---|
| 144 | |
---|
[1549] | 145 | !------------------------------------------------------------------- |
---|
| 146 | ! Calcul des criteres CFL en X, Y et Z |
---|
| 147 | !------------------------------------------------------------------- |
---|
[1279] | 148 | |
---|
[1549] | 149 | if (countcfl == 0. ) then |
---|
| 150 | cflxmax(:)=0. |
---|
| 151 | cflymax(:)=0. |
---|
| 152 | cflzmax(:)=0. |
---|
| 153 | endif |
---|
[1279] | 154 | |
---|
[1549] | 155 | countcfl=countcfl+iapp_tracvl |
---|
| 156 | cflx(:,:)=0. |
---|
| 157 | cfly(:,:)=0. |
---|
| 158 | cflz(:,:)=0. |
---|
| 159 | do l=1,llm |
---|
| 160 | do ij=iip2,ip1jm-1 |
---|
| 161 | if (pbarug(ij,l)>=0.) then |
---|
| 162 | cflx(ij,l)=pbarug(ij,l)*dtvr/masse(ij,l) |
---|
| 163 | else |
---|
| 164 | cflx(ij,l)=-pbarug(ij,l)*dtvr/masse(ij+1,l) |
---|
| 165 | endif |
---|
| 166 | enddo |
---|
| 167 | enddo |
---|
| 168 | do l=1,llm |
---|
| 169 | do ij=iip2,ip1jm-1,iip1 |
---|
| 170 | cflx(ij+iip1,l)=cflx(ij,l) |
---|
| 171 | enddo |
---|
| 172 | enddo |
---|
[1279] | 173 | |
---|
[1549] | 174 | do l=1,llm |
---|
| 175 | do ij=1,ip1jm |
---|
| 176 | if (pbarvg(ij,l)>=0.) then |
---|
| 177 | cfly(ij,l)=pbarvg(ij,l)*dtvr/masse(ij,l) |
---|
| 178 | else |
---|
| 179 | cfly(ij,l)=-pbarvg(ij,l)*dtvr/masse(ij+iip1,l) |
---|
| 180 | endif |
---|
| 181 | enddo |
---|
| 182 | enddo |
---|
[1279] | 183 | |
---|
[1549] | 184 | do l=2,llm |
---|
| 185 | do ij=1,ip1jm |
---|
| 186 | if (wg(ij,l)>=0.) then |
---|
| 187 | cflz(ij,l)=wg(ij,l)*dtvr/masse(ij,l) |
---|
| 188 | else |
---|
| 189 | cflz(ij,l)=-wg(ij,l)*dtvr/masse(ij,l-1) |
---|
| 190 | endif |
---|
| 191 | enddo |
---|
| 192 | enddo |
---|
| 193 | |
---|
| 194 | do l=1,llm |
---|
| 195 | cflxmax(l)=max(cflxmax(l),maxval(cflx(:,l))) |
---|
| 196 | cflymax(l)=max(cflymax(l),maxval(cfly(:,l))) |
---|
| 197 | cflzmax(l)=max(cflzmax(l),maxval(cflz(:,l))) |
---|
| 198 | enddo |
---|
| 199 | |
---|
[1279] | 200 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
[1549] | 201 | ! Par defaut, on sort le diagnostic des CFL tous les jours. |
---|
| 202 | ! Si on veut le sortir a chaque pas d'advection en cas de plantage |
---|
| 203 | ! if (countcfl==iapp_tracvl) then |
---|
[1279] | 204 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
[1549] | 205 | if (countcfl==day_step) then |
---|
| 206 | do l=1,llm |
---|
[1817] | 207 | write(lunout,*) 'L, CFL[xyz]max:', l, cflxmax(l), cflymax(l), & |
---|
| 208 | cflzmax(l) |
---|
[1549] | 209 | enddo |
---|
| 210 | countcfl=0 |
---|
| 211 | endif |
---|
[524] | 212 | |
---|
[1549] | 213 | !------------------------------------------------------------------- |
---|
| 214 | ! Advection proprement dite (Modification Le Croller (07/2001) |
---|
| 215 | !------------------------------------------------------------------- |
---|
[524] | 216 | |
---|
[1549] | 217 | !---------------------------------------------------- |
---|
| 218 | ! Calcul des moyennes basées sur la masse |
---|
| 219 | !---------------------------------------------------- |
---|
| 220 | call massbar(massem,massebx,masseby) |
---|
| 221 | |
---|
| 222 | !----------------------------------------------------------- |
---|
| 223 | ! Appel des sous programmes d'advection |
---|
| 224 | !----------------------------------------------------------- |
---|
| 225 | do iq=1,nqtot |
---|
| 226 | ! call clock(t_initial) |
---|
[524] | 227 | if(iadv(iq) == 0) cycle |
---|
[1549] | 228 | ! ---------------------------------------------------------------- |
---|
| 229 | ! Schema de Van Leer I MUSCL |
---|
| 230 | ! ---------------------------------------------------------------- |
---|
[524] | 231 | if(iadv(iq).eq.10) THEN |
---|
[1549] | 232 | call vlsplt(q(1,1,iq),2.,massem,wg,pbarug,pbarvg,dtvr) |
---|
[524] | 233 | |
---|
[1549] | 234 | ! ---------------------------------------------------------------- |
---|
| 235 | ! Schema "pseudo amont" + test sur humidite specifique |
---|
| 236 | ! pour la vapeur d'eau. F. Codron |
---|
| 237 | ! ---------------------------------------------------------------- |
---|
[524] | 238 | else if(iadv(iq).eq.14) then |
---|
[1549] | 239 | ! |
---|
| 240 | CALL vlspltqs( q(1,1,1), 2., massem, wg , & |
---|
| 241 | pbarug,pbarvg,dtvr,p,pk,teta ) |
---|
| 242 | ! ---------------------------------------------------------------- |
---|
| 243 | ! Schema de Frederic Hourdin |
---|
| 244 | ! ---------------------------------------------------------------- |
---|
[524] | 245 | else if(iadv(iq).eq.12) then |
---|
[1549] | 246 | ! Pas de temps adaptatif |
---|
[524] | 247 | call adaptdt(iadv(iq),dtbon,n,pbarug,massem) |
---|
| 248 | if (n.GT.1) then |
---|
[1549] | 249 | write(*,*) 'WARNING horizontal dt=',dtbon,'dtvr=', & |
---|
| 250 | dtvr,'n=',n |
---|
[524] | 251 | endif |
---|
| 252 | do indice=1,n |
---|
[1549] | 253 | call advn(q(1,1,iq),massem,wg,pbarug,pbarvg,dtbon,1) |
---|
[524] | 254 | end do |
---|
| 255 | else if(iadv(iq).eq.13) then |
---|
[1549] | 256 | ! Pas de temps adaptatif |
---|
[524] | 257 | call adaptdt(iadv(iq),dtbon,n,pbarug,massem) |
---|
| 258 | if (n.GT.1) then |
---|
[1549] | 259 | write(*,*) 'WARNING horizontal dt=',dtbon,'dtvr=', & |
---|
| 260 | dtvr,'n=',n |
---|
[524] | 261 | endif |
---|
[1549] | 262 | do indice=1,n |
---|
| 263 | call advn(q(1,1,iq),massem,wg,pbarug,pbarvg,dtbon,2) |
---|
| 264 | end do |
---|
| 265 | ! ---------------------------------------------------------------- |
---|
| 266 | ! Schema de pente SLOPES |
---|
| 267 | ! ---------------------------------------------------------------- |
---|
[524] | 268 | else if (iadv(iq).eq.20) then |
---|
[1549] | 269 | call pentes_ini (q(1,1,iq),wg,massem,pbarug,pbarvg,0) |
---|
[524] | 270 | |
---|
[1549] | 271 | ! ---------------------------------------------------------------- |
---|
| 272 | ! Schema de Prather |
---|
| 273 | ! ---------------------------------------------------------------- |
---|
[524] | 274 | else if (iadv(iq).eq.30) then |
---|
[1549] | 275 | ! Pas de temps adaptatif |
---|
[524] | 276 | call adaptdt(iadv(iq),dtbon,n,pbarug,massem) |
---|
| 277 | if (n.GT.1) then |
---|
[1549] | 278 | write(*,*) 'WARNING horizontal dt=',dtbon,'dtvr=', & |
---|
| 279 | dtvr,'n=',n |
---|
[524] | 280 | endif |
---|
[1549] | 281 | call prather(q(1,1,iq),wg,massem,pbarug,pbarvg, & |
---|
| 282 | n,dtbon) |
---|
[960] | 283 | |
---|
[1549] | 284 | ! ---------------------------------------------------------------- |
---|
| 285 | ! Schemas PPM Lin et Rood |
---|
| 286 | ! ---------------------------------------------------------------- |
---|
| 287 | else if (iadv(iq).eq.11.OR.(iadv(iq).GE.16.AND. & |
---|
| 288 | iadv(iq).LE.18)) then |
---|
[524] | 289 | |
---|
[1549] | 290 | ! Test sur le flux horizontal |
---|
| 291 | ! Pas de temps adaptatif |
---|
| 292 | call adaptdt(iadv(iq),dtbon,n,pbarug,massem) |
---|
| 293 | if (n.GT.1) then |
---|
| 294 | write(*,*) 'WARNING horizontal dt=',dtbon,'dtvr=', & |
---|
| 295 | dtvr,'n=',n |
---|
| 296 | endif |
---|
| 297 | ! Test sur le flux vertical |
---|
| 298 | CFLmaxz=0. |
---|
| 299 | do l=2,llm |
---|
| 300 | do ij=iip2,ip1jm |
---|
| 301 | aaa=wg(ij,l)*dtvr/massem(ij,l) |
---|
| 302 | CFLmaxz=max(CFLmaxz,aaa) |
---|
| 303 | bbb=-wg(ij,l)*dtvr/massem(ij,l-1) |
---|
| 304 | CFLmaxz=max(CFLmaxz,bbb) |
---|
| 305 | enddo |
---|
[524] | 306 | enddo |
---|
[1549] | 307 | if (CFLmaxz.GE.1) then |
---|
| 308 | write(*,*) 'WARNING vertical','CFLmaxz=', CFLmaxz |
---|
| 309 | endif |
---|
[524] | 310 | |
---|
[1549] | 311 | !----------------------------------------------------------- |
---|
| 312 | ! Ss-prg interface LMDZ.4->PPM3d |
---|
| 313 | !----------------------------------------------------------- |
---|
[524] | 314 | |
---|
[1549] | 315 | call interpre(q(1,1,iq),qppm(1,1,iq),wg,fluxwppm,massem, & |
---|
| 316 | apppm,bpppm,massebx,masseby,pbarug,pbarvg, & |
---|
| 317 | unatppm,vnatppm,psppm) |
---|
[524] | 318 | |
---|
[1549] | 319 | do indice=1,n |
---|
| 320 | !---------------------------------------------------------------- |
---|
| 321 | ! VL (version PPM) horiz. et PPM vert. |
---|
| 322 | !---------------------------------------------------------------- |
---|
| 323 | if (iadv(iq).eq.11) then |
---|
| 324 | ! Ss-prg PPM3d de Lin |
---|
| 325 | call ppm3d(1,qppm(1,1,iq), & |
---|
| 326 | psppm,psppm, & |
---|
| 327 | unatppm,vnatppm,fluxwppm,dtbon,2,2,2,1, & |
---|
| 328 | iim,jjp1,2,llm,apppm,bpppm,0.01,6400000, & |
---|
| 329 | fill,dum,220.) |
---|
[524] | 330 | |
---|
[1549] | 331 | !------------------------------------------------------------- |
---|
| 332 | ! Monotonic PPM |
---|
| 333 | !------------------------------------------------------------- |
---|
| 334 | else if (iadv(iq).eq.16) then |
---|
| 335 | ! Ss-prg PPM3d de Lin |
---|
| 336 | call ppm3d(1,qppm(1,1,iq), & |
---|
| 337 | psppm,psppm, & |
---|
| 338 | unatppm,vnatppm,fluxwppm,dtbon,3,3,3,1, & |
---|
| 339 | iim,jjp1,2,llm,apppm,bpppm,0.01,6400000, & |
---|
| 340 | fill,dum,220.) |
---|
| 341 | !------------------------------------------------------------- |
---|
[524] | 342 | |
---|
[1549] | 343 | !------------------------------------------------------------- |
---|
| 344 | ! Semi Monotonic PPM |
---|
| 345 | !------------------------------------------------------------- |
---|
| 346 | else if (iadv(iq).eq.17) then |
---|
| 347 | ! Ss-prg PPM3d de Lin |
---|
| 348 | call ppm3d(1,qppm(1,1,iq), & |
---|
| 349 | psppm,psppm, & |
---|
| 350 | unatppm,vnatppm,fluxwppm,dtbon,4,4,4,1, & |
---|
| 351 | iim,jjp1,2,llm,apppm,bpppm,0.01,6400000, & |
---|
| 352 | fill,dum,220.) |
---|
| 353 | !------------------------------------------------------------- |
---|
[524] | 354 | |
---|
[1549] | 355 | !------------------------------------------------------------- |
---|
| 356 | ! Positive Definite PPM |
---|
| 357 | !------------------------------------------------------------- |
---|
| 358 | else if (iadv(iq).eq.18) then |
---|
| 359 | ! Ss-prg PPM3d de Lin |
---|
| 360 | call ppm3d(1,qppm(1,1,iq), & |
---|
| 361 | psppm,psppm, & |
---|
| 362 | unatppm,vnatppm,fluxwppm,dtbon,5,5,5,1, & |
---|
| 363 | iim,jjp1,2,llm,apppm,bpppm,0.01,6400000, & |
---|
| 364 | fill,dum,220.) |
---|
| 365 | !------------------------------------------------------------- |
---|
| 366 | endif |
---|
| 367 | enddo |
---|
| 368 | !----------------------------------------------------------------- |
---|
| 369 | ! Ss-prg interface PPM3d-LMDZ.4 |
---|
| 370 | !----------------------------------------------------------------- |
---|
| 371 | call interpost(q(1,1,iq),qppm(1,1,iq)) |
---|
| 372 | endif |
---|
| 373 | !---------------------------------------------------------------------- |
---|
[524] | 374 | |
---|
[1549] | 375 | !----------------------------------------------------------------- |
---|
| 376 | ! On impose une seule valeur du traceur au pôle Sud j=jjm+1=jjp1 |
---|
| 377 | ! et Nord j=1 |
---|
| 378 | !----------------------------------------------------------------- |
---|
[524] | 379 | |
---|
[1549] | 380 | ! call traceurpole(q(1,1,iq),massem) |
---|
[524] | 381 | |
---|
[1549] | 382 | ! calcul du temps cpu pour un schema donne |
---|
[524] | 383 | |
---|
[1549] | 384 | ! call clock(t_final) |
---|
| 385 | !ym tps_cpu=t_final-t_initial |
---|
| 386 | !ym cpuadv(iq)=cpuadv(iq)+tps_cpu |
---|
[524] | 387 | |
---|
[1549] | 388 | end DO |
---|
[524] | 389 | |
---|
| 390 | |
---|
[1549] | 391 | !------------------------------------------------------------------ |
---|
| 392 | ! on reinitialise a zero les flux de masse cumules |
---|
| 393 | !--------------------------------------------------- |
---|
| 394 | iadvtr=0 |
---|
[524] | 395 | |
---|
[1549] | 396 | ENDIF ! if iadvtr.EQ.iapp_tracvl |
---|
[524] | 397 | |
---|
[1549] | 398 | END SUBROUTINE advtrac |
---|