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! $Header: /home/cvsroot/LMDZ4/libf/dyn3d/advn.F,v 1.1.1.1 2004/05/19 |
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! 12:53:06 lmdzadmin Exp $ |
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|
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SUBROUTINE advn(q, masse, w, pbaru, pbarv, pdt, mode) |
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|
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! Auteur : F. Hourdin |
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|
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! ******************************************************************** |
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! Shema d'advection " pseudo amont " . |
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! ******************************************************************** |
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! q,pbaru,pbarv,w sont des arguments d'entree pour le s-pg .... |
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|
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! pbaru,pbarv,w flux de masse en u ,v ,w |
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! pdt pas de temps |
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|
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! -------------------------------------------------------------------- |
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USE dimens_m |
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USE paramet_m |
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USE comconst |
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USE disvert_m |
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USE conf_gcm_m |
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USE comgeom |
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IMPLICIT NONE |
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|
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|
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|
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! Arguments: |
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! ---------- |
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INTEGER mode |
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REAL masse(ip1jmp1, llm) |
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REAL, INTENT (IN) :: pbaru(ip1jmp1, llm), pbarv(ip1jm, llm) |
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REAL q(ip1jmp1, llm) |
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REAL w(ip1jmp1, llm), pdt |
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|
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! Local |
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! --------- |
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|
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INTEGER ij, l |
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REAL zm(ip1jmp1, llm) |
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REAL mu(ip1jmp1, llm) |
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REAL mv(ip1jm, llm) |
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REAL mw(ip1jmp1, llm+1) |
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REAL zq(ip1jmp1, llm), qpn, qps |
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REAL zqg(ip1jmp1, llm), zqd(ip1jmp1, llm) |
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REAL zqs(ip1jmp1, llm), zqn(ip1jmp1, llm) |
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REAL zqh(ip1jmp1, llm), zqb(ip1jmp1, llm) |
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REAL temps1, temps2, temps3 |
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REAL ssum |
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LOGICAL testcpu |
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SAVE testcpu |
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SAVE temps1, temps2, temps3 |
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REAL zzpbar, zzw |
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|
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REAL qmin, qmax |
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DATA qmin, qmax/0., 1./ |
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DATA testcpu/.FALSE./ |
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DATA temps1, temps2, temps3/0., 0., 0./ |
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|
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zzpbar = 0.5*pdt |
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zzw = pdt |
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|
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DO l = 1, llm |
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DO ij = iip2, ip1jm |
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mu(ij, l) = pbaru(ij, l)*zzpbar |
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END DO |
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DO ij = 1, ip1jm |
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mv(ij, l) = pbarv(ij, l)*zzpbar |
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END DO |
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DO ij = 1, ip1jmp1 |
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mw(ij, l) = w(ij, l)*zzw |
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END DO |
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END DO |
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|
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DO ij = 1, ip1jmp1 |
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mw(ij, llm+1) = 0. |
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END DO |
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|
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DO l = 1, llm |
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qpn = 0. |
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qps = 0. |
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DO ij = 1, iim |
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qpn = qpn + q(ij, l)*masse(ij, l) |
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qps = qps + q(ip1jm+ij, l)*masse(ip1jm+ij, l) |
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END DO |
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qpn = qpn/ssum(iim, masse(1,l), 1) |
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qps = qps/ssum(iim, masse(ip1jm+1,l), 1) |
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DO ij = 1, iip1 |
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q(ij, l) = qpn |
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q(ip1jm+ij, l) = qps |
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END DO |
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END DO |
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|
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DO ij = 1, ip1jmp1 |
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mw(ij, llm+1) = 0. |
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END DO |
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DO l = 1, llm |
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DO ij = 1, ip1jmp1 |
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zq(ij, l) = q(ij, l) |
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zm(ij, l) = masse(ij, l) |
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END DO |
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END DO |
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|
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! call minmaxq(zq,qmin,qmax,'avant vlx ') |
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CALL advnqx(zq, zqg, zqd) |
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CALL advnx(zq, zqg, zqd, zm, mu, mode) |
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CALL advnqy(zq, zqs, zqn) |
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CALL advny(zq, zqs, zqn, zm, mv) |
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CALL advnqz(zq, zqh, zqb) |
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CALL advnz(zq, zqh, zqb, zm, mw) |
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! call vlz(zq,0.,zm,mw) |
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CALL advnqy(zq, zqs, zqn) |
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CALL advny(zq, zqs, zqn, zm, mv) |
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CALL advnqx(zq, zqg, zqd) |
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CALL advnx(zq, zqg, zqd, zm, mu, mode) |
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! call minmaxq(zq,qmin,qmax,'apres vlx ') |
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|
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DO l = 1, llm |
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DO ij = 1, ip1jmp1 |
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q(ij, l) = zq(ij, l) |
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END DO |
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DO ij = 1, ip1jm + 1, iip1 |
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q(ij+iim, l) = q(ij, l) |
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END DO |
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END DO |
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|
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RETURN |
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END SUBROUTINE advn |
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|
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SUBROUTINE advnqx(q, qg, qd) |
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|
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! Auteurs: Calcul des valeurs de q aux point u. |
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|
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! -------------------------------------------------------------------- |
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USE dimens_m |
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USE paramet_m |
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USE conf_gcm_m |
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IMPLICIT NONE |
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|
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|
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|
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! Arguments: |
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! ---------- |
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REAL q(ip1jmp1, llm), qg(ip1jmp1, llm), qd(ip1jmp1, llm) |
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|
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! Local |
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! --------- |
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|
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INTEGER ij, l |
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|
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REAL dxqu(ip1jmp1), zqu(ip1jmp1) |
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REAL zqmax(ip1jmp1), zqmin(ip1jmp1) |
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LOGICAL extremum(ip1jmp1) |
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|
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INTEGER mode |
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SAVE mode |
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DATA mode/1/ |
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|
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! calcul des pentes en u: |
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! ----------------------- |
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IF (mode==0) THEN |
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DO l = 1, llm |
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DO ij = 1, ip1jm |
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qd(ij, l) = q(ij, l) |
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qg(ij, l) = q(ij, l) |
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END DO |
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END DO |
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ELSE |
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DO l = 1, llm |
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DO ij = iip2, ip1jm - 1 |
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dxqu(ij) = q(ij+1, l) - q(ij, l) |
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zqu(ij) = 0.5*(q(ij+1,l)+q(ij,l)) |
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END DO |
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DO ij = iip1 + iip1, ip1jm, iip1 |
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dxqu(ij) = dxqu(ij-iim) |
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zqu(ij) = zqu(ij-iim) |
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END DO |
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DO ij = iip2, ip1jm - 1 |
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zqu(ij) = zqu(ij) - dxqu(ij+1)/12. |
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END DO |
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DO ij = iip1 + iip1, ip1jm, iip1 |
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zqu(ij) = zqu(ij-iim) |
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END DO |
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DO ij = iip2 + 1, ip1jm |
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zqu(ij) = zqu(ij) + dxqu(ij-1)/12. |
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END DO |
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DO ij = iip1 + iip1, ip1jm, iip1 |
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zqu(ij-iim) = zqu(ij) |
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END DO |
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|
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! calcul des valeurs max et min acceptees aux interfaces |
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|
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DO ij = iip2, ip1jm - 1 |
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zqmax(ij) = max(q(ij+1,l), q(ij,l)) |
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zqmin(ij) = min(q(ij+1,l), q(ij,l)) |
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END DO |
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DO ij = iip1 + iip1, ip1jm, iip1 |
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zqmax(ij) = zqmax(ij-iim) |
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zqmin(ij) = zqmin(ij-iim) |
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END DO |
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DO ij = iip2 + 1, ip1jm |
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extremum(ij) = dxqu(ij)*dxqu(ij-1) <= 0. |
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END DO |
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DO ij = iip1 + iip1, ip1jm, iip1 |
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extremum(ij-iim) = extremum(ij) |
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END DO |
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DO ij = iip2, ip1jm |
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zqu(ij) = min(max(zqmin(ij),zqu(ij)), zqmax(ij)) |
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END DO |
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DO ij = iip2 + 1, ip1jm |
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IF (extremum(ij)) THEN |
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qg(ij, l) = q(ij, l) |
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qd(ij, l) = q(ij, l) |
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ELSE |
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qd(ij, l) = zqu(ij) |
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qg(ij, l) = zqu(ij-1) |
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END IF |
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END DO |
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DO ij = iip1 + iip1, ip1jm, iip1 |
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qd(ij-iim, l) = qd(ij, l) |
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qg(ij-iim, l) = qg(ij, l) |
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END DO |
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|
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GO TO 8888 |
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|
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DO ij = iip2 + 1, ip1jm |
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IF (extremum(ij) .AND. .NOT. extremum(ij-1)) qd(ij-1, l) = q(ij, l) |
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END DO |
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|
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DO ij = iip1 + iip1, ip1jm, iip1 |
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qd(ij-iim, l) = qd(ij, l) |
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END DO |
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DO ij = iip2, ip1jm - 1 |
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IF (extremum(ij) .AND. .NOT. extremum(ij+1)) qg(ij+1, l) = q(ij, l) |
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END DO |
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|
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DO ij = iip1 + iip1, ip1jm, iip1 |
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qg(ij, l) = qg(ij-iim, l) |
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END DO |
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8888 CONTINUE |
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END DO |
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END IF |
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RETURN |
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END SUBROUTINE advnqx |
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SUBROUTINE advnqy(q, qs, qn) |
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|
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! Auteurs: Calcul des valeurs de q aux point v. |
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|
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! -------------------------------------------------------------------- |
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USE dimens_m |
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USE paramet_m |
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USE conf_gcm_m |
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IMPLICIT NONE |
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|
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|
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|
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! Arguments: |
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! ---------- |
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REAL q(ip1jmp1, llm), qs(ip1jmp1, llm), qn(ip1jmp1, llm) |
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|
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! Local |
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! --------- |
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|
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INTEGER ij, l |
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|
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REAL dyqv(ip1jm), zqv(ip1jm, llm) |
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REAL zqmax(ip1jm), zqmin(ip1jm) |
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LOGICAL extremum(ip1jmp1) |
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|
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INTEGER mode |
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SAVE mode |
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DATA mode/1/ |
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|
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IF (mode==0) THEN |
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DO l = 1, llm |
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DO ij = 1, ip1jmp1 |
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qn(ij, l) = q(ij, l) |
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qs(ij, l) = q(ij, l) |
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END DO |
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END DO |
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ELSE |
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|
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! calcul des pentes en u: |
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! ----------------------- |
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DO l = 1, llm |
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DO ij = 1, ip1jm |
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dyqv(ij) = q(ij, l) - q(ij+iip1, l) |
288 |
END DO |
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|
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DO ij = iip2, ip1jm - iip1 |
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zqv(ij, l) = 0.5*(q(ij+iip1,l)+q(ij,l)) |
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zqv(ij, l) = zqv(ij, l) + (dyqv(ij+iip1)-dyqv(ij-iip1))/12. |
293 |
END DO |
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|
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DO ij = iip2, ip1jm |
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extremum(ij) = dyqv(ij)*dyqv(ij-iip1) <= 0. |
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END DO |
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|
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! Pas de pentes aux poles |
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DO ij = 1, iip1 |
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zqv(ij, l) = q(ij, l) |
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zqv(ip1jm-iip1+ij, l) = q(ip1jm+ij, l) |
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extremum(ij) = .TRUE. |
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extremum(ip1jmp1-iip1+ij) = .TRUE. |
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END DO |
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|
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! calcul des valeurs max et min acceptees aux interfaces |
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DO ij = 1, ip1jm |
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zqmax(ij) = max(q(ij+iip1,l), q(ij,l)) |
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zqmin(ij) = min(q(ij+iip1,l), q(ij,l)) |
311 |
END DO |
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|
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DO ij = 1, ip1jm |
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zqv(ij, l) = min(max(zqmin(ij),zqv(ij,l)), zqmax(ij)) |
315 |
END DO |
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|
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DO ij = iip2, ip1jm |
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IF (extremum(ij)) THEN |
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qs(ij, l) = q(ij, l) |
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qn(ij, l) = q(ij, l) |
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! if (.not.extremum(ij-iip1)) qs(ij-iip1,l)=q(ij,l) |
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! if (.not.extremum(ij+iip1)) qn(ij+iip1,l)=q(ij,l) |
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ELSE |
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qs(ij, l) = zqv(ij, l) |
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qn(ij, l) = zqv(ij-iip1, l) |
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END IF |
327 |
END DO |
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|
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DO ij = 1, iip1 |
330 |
qs(ij, l) = q(ij, l) |
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qn(ij, l) = q(ij, l) |
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qs(ip1jm+ij, l) = q(ip1jm+ij, l) |
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qn(ip1jm+ij, l) = q(ip1jm+ij, l) |
334 |
END DO |
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|
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END DO |
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END IF |
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RETURN |
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END SUBROUTINE advnqy |
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|
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SUBROUTINE advnqz(q, qh, qb) |
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|
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! Auteurs: Calcul des valeurs de q aux point v. |
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|
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! -------------------------------------------------------------------- |
346 |
USE dimens_m |
347 |
USE paramet_m |
348 |
USE conf_gcm_m |
349 |
IMPLICIT NONE |
350 |
|
351 |
|
352 |
|
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! Arguments: |
354 |
! ---------- |
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REAL q(ip1jmp1, llm), qh(ip1jmp1, llm), qb(ip1jmp1, llm) |
356 |
|
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! Local |
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! --------- |
359 |
|
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INTEGER ij, l |
361 |
|
362 |
REAL dzqw(ip1jmp1, llm+1), zqw(ip1jmp1, llm+1) |
363 |
REAL zqmax(ip1jmp1, llm), zqmin(ip1jmp1, llm) |
364 |
LOGICAL extremum(ip1jmp1, llm) |
365 |
|
366 |
INTEGER mode |
367 |
SAVE mode |
368 |
|
369 |
DATA mode/1/ |
370 |
|
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! calcul des pentes en u: |
372 |
! ----------------------- |
373 |
|
374 |
IF (mode==0) THEN |
375 |
DO l = 1, llm |
376 |
DO ij = 1, ip1jmp1 |
377 |
qb(ij, l) = q(ij, l) |
378 |
qh(ij, l) = q(ij, l) |
379 |
END DO |
380 |
END DO |
381 |
ELSE |
382 |
DO l = 2, llm |
383 |
DO ij = 1, ip1jmp1 |
384 |
dzqw(ij, l) = q(ij, l-1) - q(ij, l) |
385 |
zqw(ij, l) = 0.5*(q(ij,l-1)+q(ij,l)) |
386 |
END DO |
387 |
END DO |
388 |
DO ij = 1, ip1jmp1 |
389 |
dzqw(ij, 1) = 0. |
390 |
dzqw(ij, llm+1) = 0. |
391 |
END DO |
392 |
DO l = 2, llm |
393 |
DO ij = 1, ip1jmp1 |
394 |
zqw(ij, l) = zqw(ij, l) + (dzqw(ij,l+1)-dzqw(ij,l-1))/12. |
395 |
END DO |
396 |
END DO |
397 |
DO l = 2, llm - 1 |
398 |
DO ij = 1, ip1jmp1 |
399 |
extremum(ij, l) = dzqw(ij, l)*dzqw(ij, l+1) <= 0. |
400 |
END DO |
401 |
END DO |
402 |
|
403 |
! Pas de pentes en bas et en haut |
404 |
DO ij = 1, ip1jmp1 |
405 |
zqw(ij, 2) = q(ij, 1) |
406 |
zqw(ij, llm) = q(ij, llm) |
407 |
extremum(ij, 1) = .TRUE. |
408 |
extremum(ij, llm) = .TRUE. |
409 |
END DO |
410 |
|
411 |
! calcul des valeurs max et min acceptees aux interfaces |
412 |
DO l = 2, llm |
413 |
DO ij = 1, ip1jmp1 |
414 |
zqmax(ij, l) = max(q(ij,l-1), q(ij,l)) |
415 |
zqmin(ij, l) = min(q(ij,l-1), q(ij,l)) |
416 |
END DO |
417 |
END DO |
418 |
|
419 |
DO l = 2, llm |
420 |
DO ij = 1, ip1jmp1 |
421 |
zqw(ij, l) = min(max(zqmin(ij,l),zqw(ij,l)), zqmax(ij,l)) |
422 |
END DO |
423 |
END DO |
424 |
|
425 |
DO l = 2, llm - 1 |
426 |
DO ij = 1, ip1jmp1 |
427 |
IF (extremum(ij,l)) THEN |
428 |
qh(ij, l) = q(ij, l) |
429 |
qb(ij, l) = q(ij, l) |
430 |
ELSE |
431 |
qh(ij, l) = zqw(ij, l+1) |
432 |
qb(ij, l) = zqw(ij, l) |
433 |
END IF |
434 |
END DO |
435 |
END DO |
436 |
! do l=2,llm-1 |
437 |
! do ij=1,ip1jmp1 |
438 |
! if(extremum(ij,l)) then |
439 |
! if (.not.extremum(ij,l-1)) qh(ij,l-1)=q(ij,l) |
440 |
! if (.not.extremum(ij,l+1)) qb(ij,l+1)=q(ij,l) |
441 |
! endif |
442 |
! enddo |
443 |
! enddo |
444 |
|
445 |
DO ij = 1, ip1jmp1 |
446 |
qb(ij, 1) = q(ij, 1) |
447 |
qh(ij, 1) = q(ij, 1) |
448 |
qb(ij, llm) = q(ij, llm) |
449 |
qh(ij, llm) = q(ij, llm) |
450 |
END DO |
451 |
|
452 |
END IF |
453 |
|
454 |
RETURN |
455 |
END SUBROUTINE advnqz |
456 |
|
457 |
SUBROUTINE advnx(q, qg, qd, masse, u_m, mode) |
458 |
|
459 |
! Auteur : F. Hourdin |
460 |
|
461 |
! ******************************************************************** |
462 |
! Shema d'advection " pseudo amont " . |
463 |
! ******************************************************************** |
464 |
! nq,iq,q,pbaru,pbarv,w sont des arguments d'entree pour le s-pg .... |
465 |
|
466 |
|
467 |
! -------------------------------------------------------------------- |
468 |
USE dimens_m |
469 |
USE paramet_m |
470 |
USE comconst |
471 |
USE disvert_m |
472 |
USE conf_gcm_m |
473 |
IMPLICIT NONE |
474 |
|
475 |
|
476 |
|
477 |
! Arguments: |
478 |
! ---------- |
479 |
INTEGER mode |
480 |
REAL masse(ip1jmp1, llm) |
481 |
REAL u_m(ip1jmp1, llm) |
482 |
REAL q(ip1jmp1, llm), qd(ip1jmp1, llm), qg(ip1jmp1, llm) |
483 |
|
484 |
! Local |
485 |
! --------- |
486 |
|
487 |
INTEGER i, j, ij, l, indu(ip1jmp1), niju, iju, ijq |
488 |
INTEGER n0, nl(llm) |
489 |
|
490 |
REAL new_m, zu_m, zdq, zz |
491 |
REAL zsigg(ip1jmp1, llm), zsigd(ip1jmp1, llm), zsig |
492 |
REAL u_mq(ip1jmp1, llm) |
493 |
|
494 |
REAL zm, zq, zsigm, zsigp, zqm, zqp, zu |
495 |
|
496 |
LOGICAL ladvplus(ip1jmp1, llm) |
497 |
|
498 |
REAL prec |
499 |
SAVE prec |
500 |
|
501 |
DATA prec/1.E-15/ |
502 |
|
503 |
DO l = 1, llm |
504 |
DO ij = iip2, ip1jm |
505 |
zdq = qd(ij, l) - qg(ij, l) |
506 |
IF (abs(zdq)>prec) THEN |
507 |
zsigd(ij, l) = (q(ij,l)-qg(ij,l))/zdq |
508 |
zsigg(ij, l) = 1. - zsigd(ij, l) |
509 |
ELSE |
510 |
zsigd(ij, l) = 0.5 |
511 |
zsigg(ij, l) = 0.5 |
512 |
qd(ij, l) = q(ij, l) |
513 |
qg(ij, l) = q(ij, l) |
514 |
END IF |
515 |
END DO |
516 |
END DO |
517 |
|
518 |
! calcul de la pente maximum dans la maille en valeur absolue |
519 |
|
520 |
DO l = 1, llm |
521 |
DO ij = iip2, ip1jm - 1 |
522 |
IF (u_m(ij,l)>=0.) THEN |
523 |
zsigp = zsigd(ij, l) |
524 |
zsigm = zsigg(ij, l) |
525 |
zqp = qd(ij, l) |
526 |
zqm = qg(ij, l) |
527 |
zm = masse(ij, l) |
528 |
zq = q(ij, l) |
529 |
ELSE |
530 |
zsigm = zsigd(ij+1, l) |
531 |
zsigp = zsigg(ij+1, l) |
532 |
zqm = qd(ij+1, l) |
533 |
zqp = qg(ij+1, l) |
534 |
zm = masse(ij+1, l) |
535 |
zq = q(ij+1, l) |
536 |
END IF |
537 |
zu = abs(u_m(ij,l)) |
538 |
ladvplus(ij, l) = zu > zm |
539 |
zsig = zu/zm |
540 |
IF (zsig==0.) zsigp = 0.1 |
541 |
IF (mode==1) THEN |
542 |
IF (zsig<=zsigp) THEN |
543 |
u_mq(ij, l) = u_m(ij, l)*zqp |
544 |
ELSE IF (mode==1) THEN |
545 |
u_mq(ij, l) = sign(zm, u_m(ij,l))*(zsigp*zqp+(zsig-zsigp)*zqm) |
546 |
END IF |
547 |
ELSE |
548 |
IF (zsig<=zsigp) THEN |
549 |
u_mq(ij, l) = u_m(ij, l)*(zqp-0.5*zsig/zsigp*(zqp-zq)) |
550 |
ELSE |
551 |
zz = 0.5*(zsig-zsigp)/zsigm |
552 |
u_mq(ij, l) = sign(zm, u_m(ij,l))*(0.5*(zq+zqp)*zsigp+(zsig-zsigp)* & |
553 |
(zq+zz*(zqm-zq))) |
554 |
END IF |
555 |
END IF |
556 |
END DO |
557 |
END DO |
558 |
|
559 |
DO l = 1, llm |
560 |
DO ij = iip1 + iip1, ip1jm, iip1 |
561 |
u_mq(ij, l) = u_mq(ij-iim, l) |
562 |
ladvplus(ij, l) = ladvplus(ij-iim, l) |
563 |
END DO |
564 |
END DO |
565 |
|
566 |
! ================================================================= |
567 |
! SCHEMA SEMI-LAGRAGIEN EN X DANS LES REGIONS POLAIRES |
568 |
! ================================================================= |
569 |
! tris des regions a traiter |
570 |
n0 = 0 |
571 |
DO l = 1, llm |
572 |
nl(l) = 0 |
573 |
DO ij = iip2, ip1jm |
574 |
IF (ladvplus(ij,l)) THEN |
575 |
nl(l) = nl(l) + 1 |
576 |
u_mq(ij, l) = 0. |
577 |
END IF |
578 |
END DO |
579 |
n0 = n0 + nl(l) |
580 |
END DO |
581 |
|
582 |
IF (n0>1) THEN |
583 |
IF (prt_level>9) PRINT *, & |
584 |
'Nombre de points pour lesquels on advect plus que le', & |
585 |
'contenu de la maille : ', n0 |
586 |
|
587 |
DO l = 1, llm |
588 |
IF (nl(l)>0) THEN |
589 |
iju = 0 |
590 |
! indicage des mailles concernees par le traitement special |
591 |
DO ij = iip2, ip1jm |
592 |
IF (ladvplus(ij,l) .AND. mod(ij,iip1)/=0) THEN |
593 |
iju = iju + 1 |
594 |
indu(iju) = ij |
595 |
END IF |
596 |
END DO |
597 |
niju = iju |
598 |
|
599 |
! traitement des mailles |
600 |
DO iju = 1, niju |
601 |
ij = indu(iju) |
602 |
j = (ij-1)/iip1 + 1 |
603 |
zu_m = u_m(ij, l) |
604 |
u_mq(ij, l) = 0. |
605 |
IF (zu_m>0.) THEN |
606 |
ijq = ij |
607 |
i = ijq - (j-1)*iip1 |
608 |
! accumulation pour les mailles completements advectees |
609 |
DO WHILE (zu_m>masse(ijq,l)) |
610 |
u_mq(ij, l) = u_mq(ij, l) + q(ijq, l)*masse(ijq, l) |
611 |
zu_m = zu_m - masse(ijq, l) |
612 |
i = mod(i-2+iim, iim) + 1 |
613 |
ijq = (j-1)*iip1 + i |
614 |
END DO |
615 |
! MODIFS SPECIFIQUES DU SCHEMA |
616 |
! ajout de la maille non completement advectee |
617 |
zsig = zu_m/masse(ijq, l) |
618 |
IF (zsig<=zsigd(ijq,l)) THEN |
619 |
u_mq(ij, l) = u_mq(ij, l) + zu_m*(qd(ijq,l)-0.5*zsig/zsigd(ijq, & |
620 |
l)*(qd(ijq,l)-q(ijq,l))) |
621 |
ELSE |
622 |
! u_mq(ij,l)=u_mq(ij,l)+zu_m*q(ijq,l) |
623 |
! goto 8888 |
624 |
zz = 0.5*(zsig-zsigd(ijq,l))/zsigg(ijq, l) |
625 |
IF (.NOT. (zz>0. .AND. zz<=0.5)) THEN |
626 |
PRINT *, 'probleme2 au point ij=', ij, ' l=', l |
627 |
PRINT *, 'zz=', zz |
628 |
STOP |
629 |
END IF |
630 |
u_mq(ij, l) = u_mq(ij, l) + masse(ijq, l)*(0.5*(q(ijq, & |
631 |
l)+qd(ijq,l))*zsigd(ijq,l)+(zsig-zsigd(ijq,l))*(q(ijq, & |
632 |
l)+zz*(qg(ijq,l)-q(ijq,l)))) |
633 |
END IF |
634 |
ELSE |
635 |
ijq = ij + 1 |
636 |
i = ijq - (j-1)*iip1 |
637 |
! accumulation pour les mailles completements advectees |
638 |
DO WHILE (-zu_m>masse(ijq,l)) |
639 |
u_mq(ij, l) = u_mq(ij, l) - q(ijq, l)*masse(ijq, l) |
640 |
zu_m = zu_m + masse(ijq, l) |
641 |
i = mod(i, iim) + 1 |
642 |
ijq = (j-1)*iip1 + i |
643 |
END DO |
644 |
! ajout de la maille non completement advectee |
645 |
! 2eme MODIF SPECIFIQUE |
646 |
zsig = -zu_m/masse(ij+1, l) |
647 |
IF (zsig<=zsigg(ijq,l)) THEN |
648 |
u_mq(ij, l) = u_mq(ij, l) + zu_m*(qg(ijq,l)-0.5*zsig/zsigg(ijq, & |
649 |
l)*(qg(ijq,l)-q(ijq,l))) |
650 |
ELSE |
651 |
! u_mq(ij,l)=u_mq(ij,l)+zu_m*q(ijq,l) |
652 |
! goto 9999 |
653 |
zz = 0.5*(zsig-zsigg(ijq,l))/zsigd(ijq, l) |
654 |
IF (.NOT. (zz>0. .AND. zz<=0.5)) THEN |
655 |
PRINT *, 'probleme22 au point ij=', ij, ' l=', l |
656 |
PRINT *, 'zz=', zz |
657 |
STOP |
658 |
END IF |
659 |
u_mq(ij, l) = u_mq(ij, l) - masse(ijq, l)*(0.5*(q(ijq, & |
660 |
l)+qg(ijq,l))*zsigg(ijq,l)+(zsig-zsigg(ijq,l))*(q(ijq, & |
661 |
l)+zz*(qd(ijq,l)-q(ijq,l)))) |
662 |
END IF |
663 |
! fin de la modif |
664 |
END IF |
665 |
END DO |
666 |
END IF |
667 |
END DO |
668 |
END IF ! n0.gt.0 |
669 |
|
670 |
! bouclage en latitude |
671 |
DO l = 1, llm |
672 |
DO ij = iip1 + iip1, ip1jm, iip1 |
673 |
u_mq(ij, l) = u_mq(ij-iim, l) |
674 |
END DO |
675 |
END DO |
676 |
|
677 |
! ================================================================= |
678 |
! CALCUL DE LA CONVERGENCE DES FLUX |
679 |
! ================================================================= |
680 |
|
681 |
DO l = 1, llm |
682 |
DO ij = iip2 + 1, ip1jm |
683 |
new_m = masse(ij, l) + u_m(ij-1, l) - u_m(ij, l) |
684 |
q(ij, l) = (q(ij,l)*masse(ij,l)+u_mq(ij-1,l)-u_mq(ij,l))/new_m |
685 |
masse(ij, l) = new_m |
686 |
END DO |
687 |
! Modif Fred 22 03 96 correction d'un bug (les scopy ci-dessous) |
688 |
DO ij = iip1 + iip1, ip1jm, iip1 |
689 |
q(ij-iim, l) = q(ij, l) |
690 |
masse(ij-iim, l) = masse(ij, l) |
691 |
END DO |
692 |
END DO |
693 |
|
694 |
RETURN |
695 |
END SUBROUTINE advnx |
696 |
SUBROUTINE advny(q, qs, qn, masse, v_m) |
697 |
|
698 |
! Auteur : F. Hourdin |
699 |
|
700 |
! ******************************************************************** |
701 |
! Shema d'advection " pseudo amont " . |
702 |
! ******************************************************************** |
703 |
! nq,iq,q,pbaru,pbarv,w sont des arguments d'entree pour le s-pg .... |
704 |
|
705 |
|
706 |
! -------------------------------------------------------------------- |
707 |
USE dimens_m |
708 |
USE paramet_m |
709 |
USE comgeom |
710 |
USE conf_gcm_m |
711 |
IMPLICIT NONE |
712 |
|
713 |
|
714 |
|
715 |
! Arguments: |
716 |
! ---------- |
717 |
REAL masse(ip1jmp1, llm) |
718 |
REAL v_m(ip1jm, llm) |
719 |
REAL q(ip1jmp1, llm), qn(ip1jmp1, llm), qs(ip1jmp1, llm) |
720 |
|
721 |
! Local |
722 |
! --------- |
723 |
|
724 |
INTEGER ij, l |
725 |
|
726 |
REAL new_m, zdq, zz |
727 |
REAL zsigs(ip1jmp1), zsign(ip1jmp1), zsig |
728 |
REAL v_mq(ip1jm, llm) |
729 |
REAL convpn, convps, convmpn, convmps, massen, masses |
730 |
REAL zm, zq, zsigm, zsigp, zqm, zqp |
731 |
REAL ssum |
732 |
REAL prec |
733 |
SAVE prec |
734 |
|
735 |
DATA prec/1.E-15/ |
736 |
|
737 |
DO l = 1, llm |
738 |
DO ij = 1, ip1jmp1 |
739 |
zdq = qn(ij, l) - qs(ij, l) |
740 |
IF (abs(zdq)>prec) THEN |
741 |
zsign(ij) = (q(ij,l)-qs(ij,l))/zdq |
742 |
zsigs(ij) = 1. - zsign(ij) |
743 |
ELSE |
744 |
zsign(ij) = 0.5 |
745 |
zsigs(ij) = 0.5 |
746 |
END IF |
747 |
END DO |
748 |
|
749 |
! calcul de la pente maximum dans la maille en valeur absolue |
750 |
|
751 |
DO ij = 1, ip1jm |
752 |
IF (v_m(ij,l)>=0.) THEN |
753 |
zsigp = zsign(ij+iip1) |
754 |
zsigm = zsigs(ij+iip1) |
755 |
zqp = qn(ij+iip1, l) |
756 |
zqm = qs(ij+iip1, l) |
757 |
zm = masse(ij+iip1, l) |
758 |
zq = q(ij+iip1, l) |
759 |
ELSE |
760 |
zsigm = zsign(ij) |
761 |
zsigp = zsigs(ij) |
762 |
zqm = qn(ij, l) |
763 |
zqp = qs(ij, l) |
764 |
zm = masse(ij, l) |
765 |
zq = q(ij, l) |
766 |
END IF |
767 |
zsig = abs(v_m(ij,l))/zm |
768 |
IF (zsig==0.) zsigp = 0.1 |
769 |
IF (zsig<=zsigp) THEN |
770 |
v_mq(ij, l) = v_m(ij, l)*(zqp-0.5*zsig/zsigp*(zqp-zq)) |
771 |
ELSE |
772 |
zz = 0.5*(zsig-zsigp)/zsigm |
773 |
v_mq(ij, l) = sign(zm, v_m(ij,l))*(0.5*(zq+zqp)*zsigp+(zsig-zsigp)*( & |
774 |
zq+zz*(zqm-zq))) |
775 |
END IF |
776 |
END DO |
777 |
END DO |
778 |
|
779 |
DO l = 1, llm |
780 |
DO ij = iip2, ip1jm |
781 |
new_m = masse(ij, l) + v_m(ij, l) - v_m(ij-iip1, l) |
782 |
q(ij, l) = (q(ij,l)*masse(ij,l)+v_mq(ij,l)-v_mq(ij-iip1,l))/new_m |
783 |
masse(ij, l) = new_m |
784 |
END DO |
785 |
! .-. ancienne version |
786 |
convpn = ssum(iim, v_mq(1,l), 1) |
787 |
convmpn = ssum(iim, v_m(1,l), 1) |
788 |
massen = ssum(iim, masse(1,l), 1) |
789 |
new_m = massen + convmpn |
790 |
q(1, l) = (q(1,l)*massen+convpn)/new_m |
791 |
DO ij = 1, iip1 |
792 |
q(ij, l) = q(1, l) |
793 |
masse(ij, l) = new_m*aire(ij)/apoln |
794 |
END DO |
795 |
|
796 |
convps = -ssum(iim, v_mq(ip1jm-iim,l), 1) |
797 |
convmps = -ssum(iim, v_m(ip1jm-iim,l), 1) |
798 |
masses = ssum(iim, masse(ip1jm+1,l), 1) |
799 |
new_m = masses + convmps |
800 |
q(ip1jm+1, l) = (q(ip1jm+1,l)*masses+convps)/new_m |
801 |
DO ij = ip1jm + 1, ip1jmp1 |
802 |
q(ij, l) = q(ip1jm+1, l) |
803 |
masse(ij, l) = new_m*aire(ij)/apols |
804 |
END DO |
805 |
END DO |
806 |
|
807 |
RETURN |
808 |
END SUBROUTINE advny |
809 |
SUBROUTINE advnz(q, qh, qb, masse, w_m) |
810 |
|
811 |
! Auteurs: F.Hourdin |
812 |
|
813 |
! ******************************************************************** |
814 |
! Shema d'advection " pseudo amont " . |
815 |
! b designe le bas et h le haut |
816 |
! il y a une correspondance entre le b en z et le d en x |
817 |
! ******************************************************************** |
818 |
|
819 |
|
820 |
! -------------------------------------------------------------------- |
821 |
USE dimens_m |
822 |
USE paramet_m |
823 |
USE comgeom |
824 |
USE conf_gcm_m |
825 |
IMPLICIT NONE |
826 |
|
827 |
|
828 |
|
829 |
! Arguments: |
830 |
! ---------- |
831 |
REAL masse(ip1jmp1, llm) |
832 |
REAL w_m(ip1jmp1, llm+1) |
833 |
REAL q(ip1jmp1, llm), qb(ip1jmp1, llm), qh(ip1jmp1, llm) |
834 |
|
835 |
|
836 |
! Local |
837 |
! --------- |
838 |
|
839 |
INTEGER ij, l |
840 |
|
841 |
REAL new_m, zdq, zz |
842 |
REAL zsigh(ip1jmp1, llm), zsigb(ip1jmp1, llm), zsig |
843 |
REAL w_mq(ip1jmp1, llm+1) |
844 |
REAL zm, zq, zsigm, zsigp, zqm, zqp |
845 |
REAL prec |
846 |
SAVE prec |
847 |
|
848 |
DATA prec/1.E-13/ |
849 |
|
850 |
DO l = 1, llm |
851 |
DO ij = 1, ip1jmp1 |
852 |
zdq = qb(ij, l) - qh(ij, l) |
853 |
IF (abs(zdq)>prec) THEN |
854 |
zsigb(ij, l) = (q(ij,l)-qh(ij,l))/zdq |
855 |
zsigh(ij, l) = 1. - zsigb(ij, l) |
856 |
zsigb(ij, l) = min(max(zsigb(ij,l),0.), 1.) |
857 |
ELSE |
858 |
zsigb(ij, l) = 0.5 |
859 |
zsigh(ij, l) = 0.5 |
860 |
END IF |
861 |
END DO |
862 |
END DO |
863 |
|
864 |
! calcul de la pente maximum dans la maille en valeur absolue |
865 |
DO l = 2, llm |
866 |
DO ij = 1, ip1jmp1 |
867 |
IF (w_m(ij,l)>=0.) THEN |
868 |
zsigp = zsigb(ij, l) |
869 |
zsigm = zsigh(ij, l) |
870 |
zqp = qb(ij, l) |
871 |
zqm = qh(ij, l) |
872 |
zm = masse(ij, l) |
873 |
zq = q(ij, l) |
874 |
ELSE |
875 |
zsigm = zsigb(ij, l-1) |
876 |
zsigp = zsigh(ij, l-1) |
877 |
zqm = qb(ij, l-1) |
878 |
zqp = qh(ij, l-1) |
879 |
zm = masse(ij, l-1) |
880 |
zq = q(ij, l-1) |
881 |
END IF |
882 |
zsig = abs(w_m(ij,l))/zm |
883 |
IF (zsig==0.) zsigp = 0.1 |
884 |
IF (zsig<=zsigp) THEN |
885 |
w_mq(ij, l) = w_m(ij, l)*(zqp-0.5*zsig/zsigp*(zqp-zq)) |
886 |
ELSE |
887 |
zz = 0.5*(zsig-zsigp)/zsigm |
888 |
w_mq(ij, l) = sign(zm, w_m(ij,l))*(0.5*(zq+zqp)*zsigp+(zsig-zsigp)*( & |
889 |
zq+zz*(zqm-zq))) |
890 |
END IF |
891 |
END DO |
892 |
END DO |
893 |
|
894 |
DO ij = 1, ip1jmp1 |
895 |
w_mq(ij, llm+1) = 0. |
896 |
w_mq(ij, 1) = 0. |
897 |
END DO |
898 |
|
899 |
DO l = 1, llm |
900 |
DO ij = 1, ip1jmp1 |
901 |
new_m = masse(ij, l) + w_m(ij, l+1) - w_m(ij, l) |
902 |
q(ij, l) = (q(ij,l)*masse(ij,l)+w_mq(ij,l+1)-w_mq(ij,l))/new_m |
903 |
masse(ij, l) = new_m |
904 |
END DO |
905 |
END DO |
906 |
|
907 |
END SUBROUTINE advnz |