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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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SUBROUTINE advn(q, masse, w, pbaru, pbarv, pdt, mode) |
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! Auteur : F. Hourdin |
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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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! 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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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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! 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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! Local |
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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 ssum |
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REAL zzpbar, zzw |
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zzpbar = 0.5*pdt |
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zzw = pdt |
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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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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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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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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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! 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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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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RETURN |
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END SUBROUTINE advn |
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SUBROUTINE advnqx(q, qg, qd) |
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! Auteurs: Calcul des valeurs de q aux point u. |
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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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! Arguments: |
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! ---------- |
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REAL q(ip1jmp1, llm), qg(ip1jmp1, llm), qd(ip1jmp1, llm) |
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! Local |
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! --------- |
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INTEGER ij, l |
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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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INTEGER mode |
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SAVE mode |
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DATA mode/1/ |
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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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! calcul des valeurs max et min acceptees aux interfaces |
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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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GO TO 8888 |
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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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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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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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! Auteurs: Calcul des valeurs de q aux point v. |
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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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! Arguments: |
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! ---------- |
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REAL q(ip1jmp1, llm), qs(ip1jmp1, llm), qn(ip1jmp1, llm) |
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! Local |
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! --------- |
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INTEGER ij, l |
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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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INTEGER mode |
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SAVE mode |
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DATA mode/1/ |
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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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! 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) |
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END DO |
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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. |
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END DO |
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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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! 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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! 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)) |
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END DO |
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DO ij = 1, ip1jm |
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zqv(ij, l) = min(max(zqmin(ij),zqv(ij,l)), zqmax(ij)) |
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END DO |
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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 |
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END DO |
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DO ij = 1, iip1 |
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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) |
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END DO |
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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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SUBROUTINE advnqz(q, qh, qb) |
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! Auteurs: Calcul des valeurs de q aux point v. |
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! -------------------------------------------------------------------- |
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USE dimens_m |
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|
USE paramet_m |
| 339 |
|
|
USE conf_gcm_m |
| 340 |
|
|
IMPLICIT NONE |
| 341 |
guez |
3 |
|
| 342 |
|
|
|
| 343 |
|
|
|
| 344 |
guez |
81 |
! Arguments: |
| 345 |
|
|
! ---------- |
| 346 |
|
|
REAL q(ip1jmp1, llm), qh(ip1jmp1, llm), qb(ip1jmp1, llm) |
| 347 |
guez |
3 |
|
| 348 |
guez |
81 |
! Local |
| 349 |
|
|
! --------- |
| 350 |
guez |
3 |
|
| 351 |
guez |
81 |
INTEGER ij, l |
| 352 |
guez |
3 |
|
| 353 |
guez |
81 |
REAL dzqw(ip1jmp1, llm+1), zqw(ip1jmp1, llm+1) |
| 354 |
|
|
REAL zqmax(ip1jmp1, llm), zqmin(ip1jmp1, llm) |
| 355 |
|
|
LOGICAL extremum(ip1jmp1, llm) |
| 356 |
guez |
3 |
|
| 357 |
guez |
81 |
INTEGER mode |
| 358 |
|
|
SAVE mode |
| 359 |
guez |
3 |
|
| 360 |
guez |
81 |
DATA mode/1/ |
| 361 |
guez |
3 |
|
| 362 |
guez |
81 |
! calcul des pentes en u: |
| 363 |
|
|
! ----------------------- |
| 364 |
guez |
3 |
|
| 365 |
guez |
81 |
IF (mode==0) THEN |
| 366 |
|
|
DO l = 1, llm |
| 367 |
|
|
DO ij = 1, ip1jmp1 |
| 368 |
|
|
qb(ij, l) = q(ij, l) |
| 369 |
|
|
qh(ij, l) = q(ij, l) |
| 370 |
|
|
END DO |
| 371 |
|
|
END DO |
| 372 |
|
|
ELSE |
| 373 |
|
|
DO l = 2, llm |
| 374 |
|
|
DO ij = 1, ip1jmp1 |
| 375 |
|
|
dzqw(ij, l) = q(ij, l-1) - q(ij, l) |
| 376 |
|
|
zqw(ij, l) = 0.5*(q(ij,l-1)+q(ij,l)) |
| 377 |
|
|
END DO |
| 378 |
|
|
END DO |
| 379 |
|
|
DO ij = 1, ip1jmp1 |
| 380 |
|
|
dzqw(ij, 1) = 0. |
| 381 |
|
|
dzqw(ij, llm+1) = 0. |
| 382 |
|
|
END DO |
| 383 |
|
|
DO l = 2, llm |
| 384 |
|
|
DO ij = 1, ip1jmp1 |
| 385 |
|
|
zqw(ij, l) = zqw(ij, l) + (dzqw(ij,l+1)-dzqw(ij,l-1))/12. |
| 386 |
|
|
END DO |
| 387 |
|
|
END DO |
| 388 |
|
|
DO l = 2, llm - 1 |
| 389 |
|
|
DO ij = 1, ip1jmp1 |
| 390 |
|
|
extremum(ij, l) = dzqw(ij, l)*dzqw(ij, l+1) <= 0. |
| 391 |
|
|
END DO |
| 392 |
|
|
END DO |
| 393 |
guez |
3 |
|
| 394 |
guez |
81 |
! Pas de pentes en bas et en haut |
| 395 |
|
|
DO ij = 1, ip1jmp1 |
| 396 |
|
|
zqw(ij, 2) = q(ij, 1) |
| 397 |
|
|
zqw(ij, llm) = q(ij, llm) |
| 398 |
|
|
extremum(ij, 1) = .TRUE. |
| 399 |
|
|
extremum(ij, llm) = .TRUE. |
| 400 |
|
|
END DO |
| 401 |
guez |
32 |
|
| 402 |
guez |
81 |
! calcul des valeurs max et min acceptees aux interfaces |
| 403 |
|
|
DO l = 2, llm |
| 404 |
|
|
DO ij = 1, ip1jmp1 |
| 405 |
|
|
zqmax(ij, l) = max(q(ij,l-1), q(ij,l)) |
| 406 |
|
|
zqmin(ij, l) = min(q(ij,l-1), q(ij,l)) |
| 407 |
|
|
END DO |
| 408 |
|
|
END DO |
| 409 |
|
|
|
| 410 |
|
|
DO l = 2, llm |
| 411 |
|
|
DO ij = 1, ip1jmp1 |
| 412 |
|
|
zqw(ij, l) = min(max(zqmin(ij,l),zqw(ij,l)), zqmax(ij,l)) |
| 413 |
|
|
END DO |
| 414 |
|
|
END DO |
| 415 |
|
|
|
| 416 |
|
|
DO l = 2, llm - 1 |
| 417 |
|
|
DO ij = 1, ip1jmp1 |
| 418 |
|
|
IF (extremum(ij,l)) THEN |
| 419 |
|
|
qh(ij, l) = q(ij, l) |
| 420 |
|
|
qb(ij, l) = q(ij, l) |
| 421 |
|
|
ELSE |
| 422 |
|
|
qh(ij, l) = zqw(ij, l+1) |
| 423 |
|
|
qb(ij, l) = zqw(ij, l) |
| 424 |
|
|
END IF |
| 425 |
|
|
END DO |
| 426 |
|
|
END DO |
| 427 |
|
|
! do l=2,llm-1 |
| 428 |
|
|
! do ij=1,ip1jmp1 |
| 429 |
|
|
! if(extremum(ij,l)) then |
| 430 |
|
|
! if (.not.extremum(ij,l-1)) qh(ij,l-1)=q(ij,l) |
| 431 |
|
|
! if (.not.extremum(ij,l+1)) qb(ij,l+1)=q(ij,l) |
| 432 |
|
|
! endif |
| 433 |
|
|
! enddo |
| 434 |
|
|
! enddo |
| 435 |
|
|
|
| 436 |
|
|
DO ij = 1, ip1jmp1 |
| 437 |
|
|
qb(ij, 1) = q(ij, 1) |
| 438 |
|
|
qh(ij, 1) = q(ij, 1) |
| 439 |
|
|
qb(ij, llm) = q(ij, llm) |
| 440 |
|
|
qh(ij, llm) = q(ij, llm) |
| 441 |
|
|
END DO |
| 442 |
|
|
|
| 443 |
|
|
END IF |
| 444 |
|
|
|
| 445 |
|
|
RETURN |
| 446 |
|
|
END SUBROUTINE advnqz |
| 447 |
|
|
|
| 448 |
|
|
SUBROUTINE advnx(q, qg, qd, masse, u_m, mode) |
| 449 |
|
|
|
| 450 |
|
|
! Auteur : F. Hourdin |
| 451 |
|
|
|
| 452 |
|
|
! ******************************************************************** |
| 453 |
|
|
! Shema d'advection " pseudo amont " . |
| 454 |
|
|
! ******************************************************************** |
| 455 |
|
|
! nq,iq,q,pbaru,pbarv,w sont des arguments d'entree pour le s-pg .... |
| 456 |
|
|
|
| 457 |
|
|
|
| 458 |
|
|
! -------------------------------------------------------------------- |
| 459 |
|
|
USE dimens_m |
| 460 |
|
|
USE paramet_m |
| 461 |
|
|
USE comconst |
| 462 |
|
|
USE disvert_m |
| 463 |
|
|
USE conf_gcm_m |
| 464 |
|
|
IMPLICIT NONE |
| 465 |
|
|
|
| 466 |
|
|
|
| 467 |
|
|
|
| 468 |
|
|
! Arguments: |
| 469 |
|
|
! ---------- |
| 470 |
|
|
INTEGER mode |
| 471 |
|
|
REAL masse(ip1jmp1, llm) |
| 472 |
|
|
REAL u_m(ip1jmp1, llm) |
| 473 |
|
|
REAL q(ip1jmp1, llm), qd(ip1jmp1, llm), qg(ip1jmp1, llm) |
| 474 |
|
|
|
| 475 |
|
|
! Local |
| 476 |
|
|
! --------- |
| 477 |
|
|
|
| 478 |
|
|
INTEGER i, j, ij, l, indu(ip1jmp1), niju, iju, ijq |
| 479 |
|
|
INTEGER n0, nl(llm) |
| 480 |
|
|
|
| 481 |
|
|
REAL new_m, zu_m, zdq, zz |
| 482 |
|
|
REAL zsigg(ip1jmp1, llm), zsigd(ip1jmp1, llm), zsig |
| 483 |
|
|
REAL u_mq(ip1jmp1, llm) |
| 484 |
|
|
|
| 485 |
|
|
REAL zm, zq, zsigm, zsigp, zqm, zqp, zu |
| 486 |
|
|
|
| 487 |
|
|
LOGICAL ladvplus(ip1jmp1, llm) |
| 488 |
|
|
|
| 489 |
|
|
REAL prec |
| 490 |
|
|
SAVE prec |
| 491 |
|
|
|
| 492 |
|
|
DATA prec/1.E-15/ |
| 493 |
|
|
|
| 494 |
|
|
DO l = 1, llm |
| 495 |
|
|
DO ij = iip2, ip1jm |
| 496 |
|
|
zdq = qd(ij, l) - qg(ij, l) |
| 497 |
|
|
IF (abs(zdq)>prec) THEN |
| 498 |
|
|
zsigd(ij, l) = (q(ij,l)-qg(ij,l))/zdq |
| 499 |
|
|
zsigg(ij, l) = 1. - zsigd(ij, l) |
| 500 |
|
|
ELSE |
| 501 |
|
|
zsigd(ij, l) = 0.5 |
| 502 |
|
|
zsigg(ij, l) = 0.5 |
| 503 |
|
|
qd(ij, l) = q(ij, l) |
| 504 |
|
|
qg(ij, l) = q(ij, l) |
| 505 |
|
|
END IF |
| 506 |
|
|
END DO |
| 507 |
|
|
END DO |
| 508 |
|
|
|
| 509 |
|
|
! calcul de la pente maximum dans la maille en valeur absolue |
| 510 |
|
|
|
| 511 |
|
|
DO l = 1, llm |
| 512 |
|
|
DO ij = iip2, ip1jm - 1 |
| 513 |
|
|
IF (u_m(ij,l)>=0.) THEN |
| 514 |
|
|
zsigp = zsigd(ij, l) |
| 515 |
|
|
zsigm = zsigg(ij, l) |
| 516 |
|
|
zqp = qd(ij, l) |
| 517 |
|
|
zqm = qg(ij, l) |
| 518 |
|
|
zm = masse(ij, l) |
| 519 |
|
|
zq = q(ij, l) |
| 520 |
|
|
ELSE |
| 521 |
|
|
zsigm = zsigd(ij+1, l) |
| 522 |
|
|
zsigp = zsigg(ij+1, l) |
| 523 |
|
|
zqm = qd(ij+1, l) |
| 524 |
|
|
zqp = qg(ij+1, l) |
| 525 |
|
|
zm = masse(ij+1, l) |
| 526 |
|
|
zq = q(ij+1, l) |
| 527 |
|
|
END IF |
| 528 |
|
|
zu = abs(u_m(ij,l)) |
| 529 |
|
|
ladvplus(ij, l) = zu > zm |
| 530 |
|
|
zsig = zu/zm |
| 531 |
|
|
IF (zsig==0.) zsigp = 0.1 |
| 532 |
|
|
IF (mode==1) THEN |
| 533 |
|
|
IF (zsig<=zsigp) THEN |
| 534 |
|
|
u_mq(ij, l) = u_m(ij, l)*zqp |
| 535 |
|
|
ELSE IF (mode==1) THEN |
| 536 |
|
|
u_mq(ij, l) = sign(zm, u_m(ij,l))*(zsigp*zqp+(zsig-zsigp)*zqm) |
| 537 |
|
|
END IF |
| 538 |
|
|
ELSE |
| 539 |
|
|
IF (zsig<=zsigp) THEN |
| 540 |
|
|
u_mq(ij, l) = u_m(ij, l)*(zqp-0.5*zsig/zsigp*(zqp-zq)) |
| 541 |
|
|
ELSE |
| 542 |
|
|
zz = 0.5*(zsig-zsigp)/zsigm |
| 543 |
|
|
u_mq(ij, l) = sign(zm, u_m(ij,l))*(0.5*(zq+zqp)*zsigp+(zsig-zsigp)* & |
| 544 |
|
|
(zq+zz*(zqm-zq))) |
| 545 |
|
|
END IF |
| 546 |
|
|
END IF |
| 547 |
|
|
END DO |
| 548 |
|
|
END DO |
| 549 |
|
|
|
| 550 |
|
|
DO l = 1, llm |
| 551 |
|
|
DO ij = iip1 + iip1, ip1jm, iip1 |
| 552 |
|
|
u_mq(ij, l) = u_mq(ij-iim, l) |
| 553 |
|
|
ladvplus(ij, l) = ladvplus(ij-iim, l) |
| 554 |
|
|
END DO |
| 555 |
|
|
END DO |
| 556 |
|
|
|
| 557 |
|
|
! ================================================================= |
| 558 |
|
|
! SCHEMA SEMI-LAGRAGIEN EN X DANS LES REGIONS POLAIRES |
| 559 |
|
|
! ================================================================= |
| 560 |
|
|
! tris des regions a traiter |
| 561 |
|
|
n0 = 0 |
| 562 |
|
|
DO l = 1, llm |
| 563 |
|
|
nl(l) = 0 |
| 564 |
|
|
DO ij = iip2, ip1jm |
| 565 |
|
|
IF (ladvplus(ij,l)) THEN |
| 566 |
|
|
nl(l) = nl(l) + 1 |
| 567 |
|
|
u_mq(ij, l) = 0. |
| 568 |
|
|
END IF |
| 569 |
|
|
END DO |
| 570 |
|
|
n0 = n0 + nl(l) |
| 571 |
|
|
END DO |
| 572 |
|
|
|
| 573 |
|
|
IF (n0>1) THEN |
| 574 |
|
|
IF (prt_level>9) PRINT *, & |
| 575 |
|
|
'Nombre de points pour lesquels on advect plus que le', & |
| 576 |
|
|
'contenu de la maille : ', n0 |
| 577 |
|
|
|
| 578 |
|
|
DO l = 1, llm |
| 579 |
|
|
IF (nl(l)>0) THEN |
| 580 |
|
|
iju = 0 |
| 581 |
|
|
! indicage des mailles concernees par le traitement special |
| 582 |
|
|
DO ij = iip2, ip1jm |
| 583 |
|
|
IF (ladvplus(ij,l) .AND. mod(ij,iip1)/=0) THEN |
| 584 |
|
|
iju = iju + 1 |
| 585 |
|
|
indu(iju) = ij |
| 586 |
|
|
END IF |
| 587 |
|
|
END DO |
| 588 |
|
|
niju = iju |
| 589 |
|
|
|
| 590 |
|
|
! traitement des mailles |
| 591 |
|
|
DO iju = 1, niju |
| 592 |
|
|
ij = indu(iju) |
| 593 |
|
|
j = (ij-1)/iip1 + 1 |
| 594 |
|
|
zu_m = u_m(ij, l) |
| 595 |
|
|
u_mq(ij, l) = 0. |
| 596 |
|
|
IF (zu_m>0.) THEN |
| 597 |
|
|
ijq = ij |
| 598 |
|
|
i = ijq - (j-1)*iip1 |
| 599 |
|
|
! accumulation pour les mailles completements advectees |
| 600 |
|
|
DO WHILE (zu_m>masse(ijq,l)) |
| 601 |
|
|
u_mq(ij, l) = u_mq(ij, l) + q(ijq, l)*masse(ijq, l) |
| 602 |
|
|
zu_m = zu_m - masse(ijq, l) |
| 603 |
|
|
i = mod(i-2+iim, iim) + 1 |
| 604 |
|
|
ijq = (j-1)*iip1 + i |
| 605 |
|
|
END DO |
| 606 |
|
|
! MODIFS SPECIFIQUES DU SCHEMA |
| 607 |
|
|
! ajout de la maille non completement advectee |
| 608 |
|
|
zsig = zu_m/masse(ijq, l) |
| 609 |
|
|
IF (zsig<=zsigd(ijq,l)) THEN |
| 610 |
|
|
u_mq(ij, l) = u_mq(ij, l) + zu_m*(qd(ijq,l)-0.5*zsig/zsigd(ijq, & |
| 611 |
|
|
l)*(qd(ijq,l)-q(ijq,l))) |
| 612 |
|
|
ELSE |
| 613 |
|
|
! u_mq(ij,l)=u_mq(ij,l)+zu_m*q(ijq,l) |
| 614 |
|
|
! goto 8888 |
| 615 |
|
|
zz = 0.5*(zsig-zsigd(ijq,l))/zsigg(ijq, l) |
| 616 |
|
|
IF (.NOT. (zz>0. .AND. zz<=0.5)) THEN |
| 617 |
|
|
PRINT *, 'probleme2 au point ij=', ij, ' l=', l |
| 618 |
|
|
PRINT *, 'zz=', zz |
| 619 |
|
|
STOP |
| 620 |
|
|
END IF |
| 621 |
|
|
u_mq(ij, l) = u_mq(ij, l) + masse(ijq, l)*(0.5*(q(ijq, & |
| 622 |
|
|
l)+qd(ijq,l))*zsigd(ijq,l)+(zsig-zsigd(ijq,l))*(q(ijq, & |
| 623 |
|
|
l)+zz*(qg(ijq,l)-q(ijq,l)))) |
| 624 |
|
|
END IF |
| 625 |
|
|
ELSE |
| 626 |
|
|
ijq = ij + 1 |
| 627 |
|
|
i = ijq - (j-1)*iip1 |
| 628 |
|
|
! accumulation pour les mailles completements advectees |
| 629 |
|
|
DO WHILE (-zu_m>masse(ijq,l)) |
| 630 |
|
|
u_mq(ij, l) = u_mq(ij, l) - q(ijq, l)*masse(ijq, l) |
| 631 |
|
|
zu_m = zu_m + masse(ijq, l) |
| 632 |
|
|
i = mod(i, iim) + 1 |
| 633 |
|
|
ijq = (j-1)*iip1 + i |
| 634 |
|
|
END DO |
| 635 |
|
|
! ajout de la maille non completement advectee |
| 636 |
|
|
! 2eme MODIF SPECIFIQUE |
| 637 |
|
|
zsig = -zu_m/masse(ij+1, l) |
| 638 |
|
|
IF (zsig<=zsigg(ijq,l)) THEN |
| 639 |
|
|
u_mq(ij, l) = u_mq(ij, l) + zu_m*(qg(ijq,l)-0.5*zsig/zsigg(ijq, & |
| 640 |
|
|
l)*(qg(ijq,l)-q(ijq,l))) |
| 641 |
|
|
ELSE |
| 642 |
|
|
! u_mq(ij,l)=u_mq(ij,l)+zu_m*q(ijq,l) |
| 643 |
|
|
! goto 9999 |
| 644 |
|
|
zz = 0.5*(zsig-zsigg(ijq,l))/zsigd(ijq, l) |
| 645 |
|
|
IF (.NOT. (zz>0. .AND. zz<=0.5)) THEN |
| 646 |
|
|
PRINT *, 'probleme22 au point ij=', ij, ' l=', l |
| 647 |
|
|
PRINT *, 'zz=', zz |
| 648 |
|
|
STOP |
| 649 |
|
|
END IF |
| 650 |
|
|
u_mq(ij, l) = u_mq(ij, l) - masse(ijq, l)*(0.5*(q(ijq, & |
| 651 |
|
|
l)+qg(ijq,l))*zsigg(ijq,l)+(zsig-zsigg(ijq,l))*(q(ijq, & |
| 652 |
|
|
l)+zz*(qd(ijq,l)-q(ijq,l)))) |
| 653 |
|
|
END IF |
| 654 |
|
|
! fin de la modif |
| 655 |
|
|
END IF |
| 656 |
|
|
END DO |
| 657 |
|
|
END IF |
| 658 |
|
|
END DO |
| 659 |
|
|
END IF ! n0.gt.0 |
| 660 |
|
|
|
| 661 |
|
|
! bouclage en latitude |
| 662 |
|
|
DO l = 1, llm |
| 663 |
|
|
DO ij = iip1 + iip1, ip1jm, iip1 |
| 664 |
|
|
u_mq(ij, l) = u_mq(ij-iim, l) |
| 665 |
|
|
END DO |
| 666 |
|
|
END DO |
| 667 |
|
|
|
| 668 |
|
|
! ================================================================= |
| 669 |
|
|
! CALCUL DE LA CONVERGENCE DES FLUX |
| 670 |
|
|
! ================================================================= |
| 671 |
|
|
|
| 672 |
|
|
DO l = 1, llm |
| 673 |
|
|
DO ij = iip2 + 1, ip1jm |
| 674 |
|
|
new_m = masse(ij, l) + u_m(ij-1, l) - u_m(ij, l) |
| 675 |
|
|
q(ij, l) = (q(ij,l)*masse(ij,l)+u_mq(ij-1,l)-u_mq(ij,l))/new_m |
| 676 |
|
|
masse(ij, l) = new_m |
| 677 |
|
|
END DO |
| 678 |
|
|
! Modif Fred 22 03 96 correction d'un bug (les scopy ci-dessous) |
| 679 |
|
|
DO ij = iip1 + iip1, ip1jm, iip1 |
| 680 |
|
|
q(ij-iim, l) = q(ij, l) |
| 681 |
|
|
masse(ij-iim, l) = masse(ij, l) |
| 682 |
|
|
END DO |
| 683 |
|
|
END DO |
| 684 |
|
|
|
| 685 |
|
|
RETURN |
| 686 |
|
|
END SUBROUTINE advnx |
| 687 |
|
|
SUBROUTINE advny(q, qs, qn, masse, v_m) |
| 688 |
|
|
|
| 689 |
|
|
! Auteur : F. Hourdin |
| 690 |
|
|
|
| 691 |
|
|
! ******************************************************************** |
| 692 |
|
|
! Shema d'advection " pseudo amont " . |
| 693 |
|
|
! ******************************************************************** |
| 694 |
|
|
! nq,iq,q,pbaru,pbarv,w sont des arguments d'entree pour le s-pg .... |
| 695 |
|
|
|
| 696 |
|
|
|
| 697 |
|
|
! -------------------------------------------------------------------- |
| 698 |
|
|
USE dimens_m |
| 699 |
|
|
USE paramet_m |
| 700 |
|
|
USE comgeom |
| 701 |
|
|
USE conf_gcm_m |
| 702 |
|
|
IMPLICIT NONE |
| 703 |
|
|
|
| 704 |
|
|
|
| 705 |
|
|
|
| 706 |
|
|
! Arguments: |
| 707 |
|
|
! ---------- |
| 708 |
|
|
REAL masse(ip1jmp1, llm) |
| 709 |
|
|
REAL v_m(ip1jm, llm) |
| 710 |
|
|
REAL q(ip1jmp1, llm), qn(ip1jmp1, llm), qs(ip1jmp1, llm) |
| 711 |
|
|
|
| 712 |
|
|
! Local |
| 713 |
|
|
! --------- |
| 714 |
|
|
|
| 715 |
|
|
INTEGER ij, l |
| 716 |
|
|
|
| 717 |
|
|
REAL new_m, zdq, zz |
| 718 |
|
|
REAL zsigs(ip1jmp1), zsign(ip1jmp1), zsig |
| 719 |
|
|
REAL v_mq(ip1jm, llm) |
| 720 |
|
|
REAL convpn, convps, convmpn, convmps, massen, masses |
| 721 |
|
|
REAL zm, zq, zsigm, zsigp, zqm, zqp |
| 722 |
|
|
REAL ssum |
| 723 |
|
|
REAL prec |
| 724 |
|
|
SAVE prec |
| 725 |
|
|
|
| 726 |
|
|
DATA prec/1.E-15/ |
| 727 |
|
|
|
| 728 |
|
|
DO l = 1, llm |
| 729 |
|
|
DO ij = 1, ip1jmp1 |
| 730 |
|
|
zdq = qn(ij, l) - qs(ij, l) |
| 731 |
|
|
IF (abs(zdq)>prec) THEN |
| 732 |
|
|
zsign(ij) = (q(ij,l)-qs(ij,l))/zdq |
| 733 |
|
|
zsigs(ij) = 1. - zsign(ij) |
| 734 |
|
|
ELSE |
| 735 |
|
|
zsign(ij) = 0.5 |
| 736 |
|
|
zsigs(ij) = 0.5 |
| 737 |
|
|
END IF |
| 738 |
|
|
END DO |
| 739 |
|
|
|
| 740 |
|
|
! calcul de la pente maximum dans la maille en valeur absolue |
| 741 |
|
|
|
| 742 |
|
|
DO ij = 1, ip1jm |
| 743 |
|
|
IF (v_m(ij,l)>=0.) THEN |
| 744 |
|
|
zsigp = zsign(ij+iip1) |
| 745 |
|
|
zsigm = zsigs(ij+iip1) |
| 746 |
|
|
zqp = qn(ij+iip1, l) |
| 747 |
|
|
zqm = qs(ij+iip1, l) |
| 748 |
|
|
zm = masse(ij+iip1, l) |
| 749 |
|
|
zq = q(ij+iip1, l) |
| 750 |
|
|
ELSE |
| 751 |
|
|
zsigm = zsign(ij) |
| 752 |
|
|
zsigp = zsigs(ij) |
| 753 |
|
|
zqm = qn(ij, l) |
| 754 |
|
|
zqp = qs(ij, l) |
| 755 |
|
|
zm = masse(ij, l) |
| 756 |
|
|
zq = q(ij, l) |
| 757 |
|
|
END IF |
| 758 |
|
|
zsig = abs(v_m(ij,l))/zm |
| 759 |
|
|
IF (zsig==0.) zsigp = 0.1 |
| 760 |
|
|
IF (zsig<=zsigp) THEN |
| 761 |
|
|
v_mq(ij, l) = v_m(ij, l)*(zqp-0.5*zsig/zsigp*(zqp-zq)) |
| 762 |
|
|
ELSE |
| 763 |
|
|
zz = 0.5*(zsig-zsigp)/zsigm |
| 764 |
|
|
v_mq(ij, l) = sign(zm, v_m(ij,l))*(0.5*(zq+zqp)*zsigp+(zsig-zsigp)*( & |
| 765 |
|
|
zq+zz*(zqm-zq))) |
| 766 |
|
|
END IF |
| 767 |
|
|
END DO |
| 768 |
|
|
END DO |
| 769 |
|
|
|
| 770 |
|
|
DO l = 1, llm |
| 771 |
|
|
DO ij = iip2, ip1jm |
| 772 |
|
|
new_m = masse(ij, l) + v_m(ij, l) - v_m(ij-iip1, l) |
| 773 |
|
|
q(ij, l) = (q(ij,l)*masse(ij,l)+v_mq(ij,l)-v_mq(ij-iip1,l))/new_m |
| 774 |
|
|
masse(ij, l) = new_m |
| 775 |
|
|
END DO |
| 776 |
|
|
! .-. ancienne version |
| 777 |
|
|
convpn = ssum(iim, v_mq(1,l), 1) |
| 778 |
|
|
convmpn = ssum(iim, v_m(1,l), 1) |
| 779 |
|
|
massen = ssum(iim, masse(1,l), 1) |
| 780 |
|
|
new_m = massen + convmpn |
| 781 |
|
|
q(1, l) = (q(1,l)*massen+convpn)/new_m |
| 782 |
|
|
DO ij = 1, iip1 |
| 783 |
|
|
q(ij, l) = q(1, l) |
| 784 |
|
|
masse(ij, l) = new_m*aire(ij)/apoln |
| 785 |
|
|
END DO |
| 786 |
|
|
|
| 787 |
|
|
convps = -ssum(iim, v_mq(ip1jm-iim,l), 1) |
| 788 |
|
|
convmps = -ssum(iim, v_m(ip1jm-iim,l), 1) |
| 789 |
|
|
masses = ssum(iim, masse(ip1jm+1,l), 1) |
| 790 |
|
|
new_m = masses + convmps |
| 791 |
|
|
q(ip1jm+1, l) = (q(ip1jm+1,l)*masses+convps)/new_m |
| 792 |
|
|
DO ij = ip1jm + 1, ip1jmp1 |
| 793 |
|
|
q(ij, l) = q(ip1jm+1, l) |
| 794 |
|
|
masse(ij, l) = new_m*aire(ij)/apols |
| 795 |
|
|
END DO |
| 796 |
|
|
END DO |
| 797 |
|
|
|
| 798 |
|
|
RETURN |
| 799 |
|
|
END SUBROUTINE advny |
| 800 |
|
|
SUBROUTINE advnz(q, qh, qb, masse, w_m) |
| 801 |
|
|
|
| 802 |
|
|
! Auteurs: F.Hourdin |
| 803 |
|
|
|
| 804 |
|
|
! ******************************************************************** |
| 805 |
|
|
! Shema d'advection " pseudo amont " . |
| 806 |
|
|
! b designe le bas et h le haut |
| 807 |
|
|
! il y a une correspondance entre le b en z et le d en x |
| 808 |
|
|
! ******************************************************************** |
| 809 |
|
|
|
| 810 |
|
|
|
| 811 |
|
|
! -------------------------------------------------------------------- |
| 812 |
|
|
USE dimens_m |
| 813 |
|
|
USE paramet_m |
| 814 |
|
|
USE comgeom |
| 815 |
|
|
USE conf_gcm_m |
| 816 |
|
|
IMPLICIT NONE |
| 817 |
|
|
|
| 818 |
|
|
|
| 819 |
|
|
|
| 820 |
|
|
! Arguments: |
| 821 |
|
|
! ---------- |
| 822 |
|
|
REAL masse(ip1jmp1, llm) |
| 823 |
|
|
REAL w_m(ip1jmp1, llm+1) |
| 824 |
|
|
REAL q(ip1jmp1, llm), qb(ip1jmp1, llm), qh(ip1jmp1, llm) |
| 825 |
|
|
|
| 826 |
|
|
|
| 827 |
|
|
! Local |
| 828 |
|
|
! --------- |
| 829 |
|
|
|
| 830 |
|
|
INTEGER ij, l |
| 831 |
|
|
|
| 832 |
|
|
REAL new_m, zdq, zz |
| 833 |
|
|
REAL zsigh(ip1jmp1, llm), zsigb(ip1jmp1, llm), zsig |
| 834 |
|
|
REAL w_mq(ip1jmp1, llm+1) |
| 835 |
|
|
REAL zm, zq, zsigm, zsigp, zqm, zqp |
| 836 |
|
|
REAL prec |
| 837 |
|
|
SAVE prec |
| 838 |
|
|
|
| 839 |
|
|
DATA prec/1.E-13/ |
| 840 |
|
|
|
| 841 |
|
|
DO l = 1, llm |
| 842 |
|
|
DO ij = 1, ip1jmp1 |
| 843 |
|
|
zdq = qb(ij, l) - qh(ij, l) |
| 844 |
|
|
IF (abs(zdq)>prec) THEN |
| 845 |
|
|
zsigb(ij, l) = (q(ij,l)-qh(ij,l))/zdq |
| 846 |
|
|
zsigh(ij, l) = 1. - zsigb(ij, l) |
| 847 |
|
|
zsigb(ij, l) = min(max(zsigb(ij,l),0.), 1.) |
| 848 |
|
|
ELSE |
| 849 |
|
|
zsigb(ij, l) = 0.5 |
| 850 |
|
|
zsigh(ij, l) = 0.5 |
| 851 |
|
|
END IF |
| 852 |
|
|
END DO |
| 853 |
|
|
END DO |
| 854 |
|
|
|
| 855 |
|
|
! calcul de la pente maximum dans la maille en valeur absolue |
| 856 |
|
|
DO l = 2, llm |
| 857 |
|
|
DO ij = 1, ip1jmp1 |
| 858 |
|
|
IF (w_m(ij,l)>=0.) THEN |
| 859 |
|
|
zsigp = zsigb(ij, l) |
| 860 |
|
|
zsigm = zsigh(ij, l) |
| 861 |
|
|
zqp = qb(ij, l) |
| 862 |
|
|
zqm = qh(ij, l) |
| 863 |
|
|
zm = masse(ij, l) |
| 864 |
|
|
zq = q(ij, l) |
| 865 |
|
|
ELSE |
| 866 |
|
|
zsigm = zsigb(ij, l-1) |
| 867 |
|
|
zsigp = zsigh(ij, l-1) |
| 868 |
|
|
zqm = qb(ij, l-1) |
| 869 |
|
|
zqp = qh(ij, l-1) |
| 870 |
|
|
zm = masse(ij, l-1) |
| 871 |
|
|
zq = q(ij, l-1) |
| 872 |
|
|
END IF |
| 873 |
|
|
zsig = abs(w_m(ij,l))/zm |
| 874 |
|
|
IF (zsig==0.) zsigp = 0.1 |
| 875 |
|
|
IF (zsig<=zsigp) THEN |
| 876 |
|
|
w_mq(ij, l) = w_m(ij, l)*(zqp-0.5*zsig/zsigp*(zqp-zq)) |
| 877 |
|
|
ELSE |
| 878 |
|
|
zz = 0.5*(zsig-zsigp)/zsigm |
| 879 |
|
|
w_mq(ij, l) = sign(zm, w_m(ij,l))*(0.5*(zq+zqp)*zsigp+(zsig-zsigp)*( & |
| 880 |
|
|
zq+zz*(zqm-zq))) |
| 881 |
|
|
END IF |
| 882 |
|
|
END DO |
| 883 |
|
|
END DO |
| 884 |
|
|
|
| 885 |
|
|
DO ij = 1, ip1jmp1 |
| 886 |
|
|
w_mq(ij, llm+1) = 0. |
| 887 |
|
|
w_mq(ij, 1) = 0. |
| 888 |
|
|
END DO |
| 889 |
|
|
|
| 890 |
|
|
DO l = 1, llm |
| 891 |
|
|
DO ij = 1, ip1jmp1 |
| 892 |
|
|
new_m = masse(ij, l) + w_m(ij, l+1) - w_m(ij, l) |
| 893 |
|
|
q(ij, l) = (q(ij,l)*masse(ij,l)+w_mq(ij,l+1)-w_mq(ij,l))/new_m |
| 894 |
|
|
masse(ij, l) = new_m |
| 895 |
|
|
END DO |
| 896 |
|
|
END DO |
| 897 |
|
|
|
| 898 |
|
|
END SUBROUTINE advnz |
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