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! $Header: /home/cvsroot/LMDZ4/libf/dyn3d/prather.F,v 1.1.1.1 2004/05/19 |
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! 12:53:07 lmdzadmin Exp $ |
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SUBROUTINE prather(q, w, masse, pbaru, pbarv, nt, dt) |
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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 comgeom |
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USE nr_util, ONLY: pi |
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IMPLICIT NONE |
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! ======================================================================= |
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! Adaptation LMDZ: A.Armengaud (LGGE) |
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! ---------------- |
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! ************************************************ |
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! Transport des traceurs par la methode de prather |
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! Ref : |
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! ************************************************ |
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! q,w,pext,pbaru et pbarv : arguments d'entree pour le s-pg |
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! ======================================================================= |
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! Arguments: |
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! ---------- |
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INTEGER iq, nt |
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REAL, INTENT (IN) :: pbaru(ip1jmp1, llm), pbarv(ip1jm, llm) |
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REAL masse(iip1, jjp1, llm) |
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REAL q(iip1, jjp1, llm, 0:9) |
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REAL w(ip1jmp1, llm) |
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INTEGER ordre, ilim |
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! Local: |
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! ------ |
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LOGICAL limit |
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REAL zq(iip1, jjp1, llm) |
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REAL sm(iip1, jjp1, llm) |
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REAL s0(iip1, jjp1, llm), sx(iip1, jjp1, llm) |
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REAL sy(iip1, jjp1, llm), sz(iip1, jjp1, llm) |
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REAL sxx(iip1, jjp1, llm) |
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REAL sxy(iip1, jjp1, llm) |
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REAL sxz(iip1, jjp1, llm) |
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REAL syy(iip1, jjp1, llm) |
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REAL syz(iip1, jjp1, llm) |
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REAL szz(iip1, jjp1, llm), zz |
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INTEGER i, j, l, indice |
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REAL sxn(iip1), sxs(iip1) |
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REAL sinlon(iip1), sinlondlon(iip1) |
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REAL coslon(iip1), coslondlon(iip1) |
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REAL qmin, qmax |
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SAVE qmin, qmax |
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SAVE sinlon, coslon, sinlondlon, coslondlon |
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REAL dyn1, dyn2, dys1, dys2, qpn, qps, dqzpn, dqzps |
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REAL masn, mass |
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REAL ssum |
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INTEGER ismax, ismin |
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EXTERNAL ssum, convflu, ismin, ismax |
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LOGICAL first |
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SAVE first |
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EXTERNAL advxp, advyp, advzp |
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DATA first/.TRUE./ |
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DATA qmin, qmax/ -1.E33, 1.E33/ |
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! ========================================================================== |
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! ========================================================================== |
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! MODIFICATION POUR PAS DE TEMPS ADAPTATIF, dtvr remplace par dt |
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! ========================================================================== |
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! ========================================================================== |
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REAL dt |
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! ========================================================================== |
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limit = .TRUE. |
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IF (first) THEN |
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PRINT *, 'SCHEMA PRATHER' |
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first = .FALSE. |
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DO i = 2, iip1 |
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coslon(i) = cos(rlonv(i)) |
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sinlon(i) = sin(rlonv(i)) |
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coslondlon(i) = coslon(i)*(rlonu(i)-rlonu(i-1))/pi |
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sinlondlon(i) = sinlon(i)*(rlonu(i)-rlonu(i-1))/pi |
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END DO |
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coslon(1) = coslon(iip1) |
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coslondlon(1) = coslondlon(iip1) |
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sinlon(1) = sinlon(iip1) |
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sinlondlon(1) = sinlondlon(iip1) |
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DO l = 1, llm |
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DO j = 1, jjp1 |
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DO i = 1, iip1 |
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q(i, j, l, 1) = 0. |
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q(i, j, l, 2) = 0. |
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q(i, j, l, 3) = 0. |
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q(i, j, l, 4) = 0. |
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q(i, j, l, 5) = 0. |
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q(i, j, l, 6) = 0. |
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q(i, j, l, 7) = 0. |
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q(i, j, l, 8) = 0. |
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q(i, j, l, 9) = 0. |
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END DO |
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END DO |
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END DO |
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END IF |
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! Fin modif Fred |
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! *** On calcule la masse d'air en kg |
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DO l = 1, llm |
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DO j = 1, jjp1 |
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DO i = 1, iip1 |
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sm(i, j, llm+1-l) = masse(i, j, l) |
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END DO |
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END DO |
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END DO |
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! *** q contient les qqtes de traceur avant l'advection |
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! *** Affectation des tableaux S a partir de Q |
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DO l = 1, llm |
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DO j = 1, jjp1 |
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DO i = 1, iip1 |
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s0(i, j, l) = q(i, j, llm+1-l, 0)*sm(i, j, l) |
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sx(i, j, l) = q(i, j, llm+1-l, 1)*sm(i, j, l) |
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sy(i, j, l) = q(i, j, llm+1-l, 2)*sm(i, j, l) |
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sz(i, j, l) = q(i, j, llm+1-l, 3)*sm(i, j, l) |
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sxx(i, j, l) = q(i, j, llm+1-l, 4)*sm(i, j, l) |
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sxy(i, j, l) = q(i, j, llm+1-l, 5)*sm(i, j, l) |
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sxz(i, j, l) = q(i, j, llm+1-l, 6)*sm(i, j, l) |
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syy(i, j, l) = q(i, j, llm+1-l, 7)*sm(i, j, l) |
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syz(i, j, l) = q(i, j, llm+1-l, 8)*sm(i, j, l) |
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szz(i, j, l) = q(i, j, llm+1-l, 9)*sm(i, j, l) |
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END DO |
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END DO |
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END DO |
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! *** Appel des subroutines d'advection en X, en Y et en Z |
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! *** Advection avec "time-splitting" |
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! ----------------------------------------------------------- |
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DO indice = 1, nt |
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CALL advxp(limit, 0.5*dt, pbaru, sm, s0, sx, sy, sz, sxx, sxy, sxz, syy, & |
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syz, szz, 1) |
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END DO |
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DO l = 1, llm |
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DO i = 1, iip1 |
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sy(i, 1, l) = 0. |
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sy(i, jjp1, l) = 0. |
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END DO |
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END DO |
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! --------------------------------------------------------- |
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CALL advyp(limit, .5*dt*nt, pbarv, sm, s0, sx, sy, sz, sxx, sxy, sxz, syy, & |
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syz, szz, 1) |
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! --------------------------------------------------------- |
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! --------------------------------------------------------- |
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DO j = 1, jjp1 |
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DO i = 1, iip1 |
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sz(i, j, 1) = 0. |
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sz(i, j, llm) = 0. |
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sxz(i, j, 1) = 0. |
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sxz(i, j, llm) = 0. |
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syz(i, j, 1) = 0. |
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syz(i, j, llm) = 0. |
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szz(i, j, 1) = 0. |
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szz(i, j, llm) = 0. |
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END DO |
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END DO |
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CALL advzp(limit, dt*nt, w, sm, s0, sx, sy, sz, sxx, sxy, sxz, syy, syz, & |
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szz, 1) |
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DO l = 1, llm |
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DO i = 1, iip1 |
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sy(i, 1, l) = 0. |
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sy(i, jjp1, l) = 0. |
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END DO |
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END DO |
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! --------------------------------------------------------- |
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! --------------------------------------------------------- |
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CALL advyp(limit, .5*dt*nt, pbarv, sm, s0, sx, sy, sz, sxx, sxy, sxz, syy, & |
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syz, szz, 1) |
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! --------------------------------------------------------- |
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DO l = 1, llm |
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DO j = 1, jjp1 |
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s0(iip1, j, l) = s0(1, j, l) |
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sx(iip1, j, l) = sx(1, j, l) |
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sy(iip1, j, l) = sy(1, j, l) |
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sz(iip1, j, l) = sz(1, j, l) |
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sxx(iip1, j, l) = sxx(1, j, l) |
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sxy(iip1, j, l) = sxy(1, j, l) |
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sxz(iip1, j, l) = sxz(1, j, l) |
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syy(iip1, j, l) = syy(1, j, l) |
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syz(iip1, j, l) = syz(1, j, l) |
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szz(iip1, j, l) = szz(1, j, l) |
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END DO |
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END DO |
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DO indice = 1, nt |
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CALL advxp(limit, 0.5*dt, pbaru, sm, s0, sx, sy, sz, sxx, sxy, sxz, syy, & |
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syz, szz, 1) |
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END DO |
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! --------------------------------------------------------- |
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! --------------------------------------------------------- |
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! *** On repasse les S dans la variable qpr |
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! *** On repasse les S dans la variable q directement 14/10/94 |
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DO l = 1, llm |
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DO j = 1, jjp1 |
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DO i = 1, iip1 |
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q(i, j, llm+1-l, 0) = s0(i, j, l)/sm(i, j, l) |
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q(i, j, llm+1-l, 1) = sx(i, j, l)/sm(i, j, l) |
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q(i, j, llm+1-l, 2) = sy(i, j, l)/sm(i, j, l) |
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q(i, j, llm+1-l, 3) = sz(i, j, l)/sm(i, j, l) |
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q(i, j, llm+1-l, 4) = sxx(i, j, l)/sm(i, j, l) |
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q(i, j, llm+1-l, 5) = sxy(i, j, l)/sm(i, j, l) |
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q(i, j, llm+1-l, 6) = sxz(i, j, l)/sm(i, j, l) |
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q(i, j, llm+1-l, 7) = syy(i, j, l)/sm(i, j, l) |
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q(i, j, llm+1-l, 8) = syz(i, j, l)/sm(i, j, l) |
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q(i, j, llm+1-l, 9) = szz(i, j, l)/sm(i, j, l) |
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END DO |
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END DO |
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END DO |
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! --------------------------------------------------------- |
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! go to 777 |
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! filtrages aux poles |
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! Traitements specifiques au pole |
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! filtrages aux poles |
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DO l = 1, llm |
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! filtrages aux poles |
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masn = ssum(iim, sm(1,1,l), 1) |
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mass = ssum(iim, sm(1,jjp1,l), 1) |
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qpn = ssum(iim, s0(1,1,l), 1)/masn |
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qps = ssum(iim, s0(1,jjp1,l), 1)/mass |
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dqzpn = ssum(iim, sz(1,1,l), 1)/masn |
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dqzps = ssum(iim, sz(1,jjp1,l), 1)/mass |
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DO i = 1, iip1 |
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q(i, 1, llm+1-l, 3) = dqzpn |
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q(i, jjp1, llm+1-l, 3) = dqzps |
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q(i, 1, llm+1-l, 0) = qpn |
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q(i, jjp1, llm+1-l, 0) = qps |
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END DO |
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dyn1 = 0. |
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dys1 = 0. |
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dyn2 = 0. |
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dys2 = 0. |
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DO i = 1, iim |
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zz = s0(i, 2, l)/sm(i, 2, l) - q(i, 1, llm+1-l, 0) |
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dyn1 = dyn1 + sinlondlon(i)*zz |
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dyn2 = dyn2 + coslondlon(i)*zz |
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zz = q(i, jjp1, llm+1-l, 0) - s0(i, jjm, l)/sm(i, jjm, l) |
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dys1 = dys1 + sinlondlon(i)*zz |
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dys2 = dys2 + coslondlon(i)*zz |
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END DO |
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DO i = 1, iim |
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q(i, 1, llm+1-l, 2) = (sinlon(i)*dyn1+coslon(i)*dyn2)/2. |
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q(i, 1, llm+1-l, 0) = q(i, 1, llm+1-l, 0) + q(i, 1, llm+1-l, 2) |
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q(i, jjp1, llm+1-l, 2) = (sinlon(i)*dys1+coslon(i)*dys2)/2. |
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q(i, jjp1, llm+1-l, 0) = q(i, jjp1, llm+1-l, 0) - & |
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q(i, jjp1, llm+1-l, 2) |
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END DO |
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q(iip1, 1, llm+1-l, 0) = q(1, 1, llm+1-l, 0) |
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q(iip1, jjp1, llm+1-l, 0) = q(1, jjp1, llm+1-l, 0) |
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DO i = 1, iim |
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sxn(i) = q(i+1, 1, llm+1-l, 0) - q(i, 1, llm+1-l, 0) |
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sxs(i) = q(i+1, jjp1, llm+1-l, 0) - q(i, jjp1, llm+1-l, 0) |
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END DO |
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sxn(iip1) = sxn(1) |
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sxs(iip1) = sxs(1) |
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DO i = 1, iim |
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q(i+1, 1, llm+1-l, 1) = 0.25*(sxn(i)+sxn(i+1)) |
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q(i+1, jjp1, llm+1-l, 1) = 0.25*(sxs(i)+sxs(i+1)) |
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END DO |
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q(1, 1, llm+1-l, 1) = q(iip1, 1, llm+1-l, 1) |
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q(1, jjp1, llm+1-l, 1) = q(iip1, jjp1, llm+1-l, 1) |
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END DO |
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DO l = 1, llm |
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DO i = 1, iim |
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q(i, 1, llm+1-l, 4) = 0. |
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q(i, jjp1, llm+1-l, 4) = 0. |
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q(i, 1, llm+1-l, 5) = 0. |
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q(i, jjp1, llm+1-l, 5) = 0. |
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q(i, 1, llm+1-l, 6) = 0. |
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q(i, jjp1, llm+1-l, 6) = 0. |
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q(i, 1, llm+1-l, 7) = 0. |
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q(i, jjp1, llm+1-l, 7) = 0. |
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q(i, 1, llm+1-l, 8) = 0. |
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q(i, jjp1, llm+1-l, 8) = 0. |
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q(i, 1, llm+1-l, 9) = 0. |
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q(i, jjp1, llm+1-l, 9) = 0. |
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END DO |
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END DO |
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! bouclage en longitude |
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DO l = 1, llm |
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DO j = 1, jjp1 |
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q(iip1, j, l, 0) = q(1, j, l, 0) |
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q(iip1, j, llm+1-l, 0) = q(1, j, llm+1-l, 0) |
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q(iip1, j, llm+1-l, 1) = q(1, j, llm+1-l, 1) |
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q(iip1, j, llm+1-l, 2) = q(1, j, llm+1-l, 2) |
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q(iip1, j, llm+1-l, 3) = q(1, j, llm+1-l, 3) |
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q(iip1, j, llm+1-l, 4) = q(1, j, llm+1-l, 4) |
313 |
|
|
q(iip1, j, llm+1-l, 5) = q(1, j, llm+1-l, 5) |
314 |
|
|
q(iip1, j, llm+1-l, 6) = q(1, j, llm+1-l, 6) |
315 |
|
|
q(iip1, j, llm+1-l, 7) = q(1, j, llm+1-l, 7) |
316 |
|
|
q(iip1, j, llm+1-l, 8) = q(1, j, llm+1-l, 8) |
317 |
|
|
q(iip1, j, llm+1-l, 9) = q(1, j, llm+1-l, 9) |
318 |
|
|
END DO |
319 |
|
|
END DO |
320 |
|
|
DO l = 1, llm |
321 |
|
|
DO j = 2, jjm |
322 |
|
|
DO i = 1, iip1 |
323 |
|
|
IF (q(i,j,l,0)<0.) THEN |
324 |
|
|
PRINT *, '------------ BIP-----------' |
325 |
|
|
PRINT *, 'S0(', i, j, l, ')=', q(i, j, l, 0), q(i, j-1, l, 0) |
326 |
|
|
PRINT *, 'SX(', i, j, l, ')=', q(i, j, l, 1) |
327 |
|
|
PRINT *, 'SY(', i, j, l, ')=', q(i, j, l, 2), q(i, j-1, l, 2) |
328 |
|
|
PRINT *, 'SZ(', i, j, l, ')=', q(i, j, l, 3) |
329 |
|
|
q(i, j, l, 0) = 0. |
330 |
|
|
END IF |
331 |
|
|
END DO |
332 |
|
|
END DO |
333 |
|
|
DO j = 1, jjp1, jjm |
334 |
|
|
DO i = 1, iip1 |
335 |
|
|
IF (q(i,j,l,0)<0.) THEN |
336 |
|
|
PRINT *, '------------ BIP 2-----------' |
337 |
|
|
PRINT *, 'S0(', i, j, l, ')=', q(i, j, l, 0) |
338 |
|
|
PRINT *, 'SX(', i, j, l, ')=', q(i, j, l, 1) |
339 |
|
|
PRINT *, 'SY(', i, j, l, ')=', q(i, j, l, 2) |
340 |
|
|
PRINT *, 'SZ(', i, j, l, ')=', q(i, j, l, 3) |
341 |
|
|
|
342 |
|
|
q(i, j, l, 0) = 0. |
343 |
|
|
! STOP |
344 |
|
|
END IF |
345 |
|
|
END DO |
346 |
|
|
END DO |
347 |
|
|
END DO |
348 |
|
|
RETURN |
349 |
|
|
END SUBROUTINE prather |