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! $Header: /home/cvsroot/LMDZ4/libf/dyn3d/pentes_ini.F,v 1.1.1.1 2004/05/19 |
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! 12:53:07 lmdzadmin Exp $ |
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SUBROUTINE pentes_ini(q, w, masse, pbaru, pbarv, mode) |
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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 des pentes |
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! ******************************************************************** |
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! Reference possible : Russel. G.L., Lerner J.A.: |
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! A new Finite-Differencing Scheme for Traceur Transport |
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! Equation , Journal of Applied Meteorology, pp 1483-1498,dec. 81 |
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! ******************************************************************** |
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! q,w,masse,pbaru et pbarv |
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! sont des 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 mode |
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REAL, INTENT (IN) :: pbaru(ip1jmp1, llm), pbarv(ip1jm, llm) |
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REAL q(iip1, jjp1, llm, 0:3) |
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REAL w(ip1jmp1, llm) |
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REAL masse(iip1, jjp1, llm) |
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! Local: |
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! ------ |
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LOGICAL limit |
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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 masn, mass, zz |
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INTEGER i, j, l, iq |
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! modif Fred 24 03 96 |
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REAL sinlon(iip1), sinlondlon(iip1) |
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REAL coslon(iip1), coslondlon(iip1) |
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SAVE sinlon, coslon, sinlondlon, coslondlon |
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REAL dyn1, dyn2, dys1, dys2 |
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REAL qpn, qps, dqzpn, dqzps |
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REAL smn, sms, s0n, s0s, sxn(iip1), sxs(iip1) |
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REAL qmin, pente_max |
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REAL ssum |
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INTEGER ismax, ismin, lati, latf |
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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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! fin modif |
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! EXTERNAL masskg |
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EXTERNAL advx |
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EXTERNAL advy |
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EXTERNAL advz |
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! modif Fred 24 03 96 |
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DATA first/.TRUE./ |
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limit = .TRUE. |
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pente_max = 2 |
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! if (mode.eq.1.or.mode.eq.3) then |
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! if (mode.eq.1) then |
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IF (mode>=1) THEN |
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lati = 2 |
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latf = jjm |
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ELSE |
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lati = 1 |
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latf = jjp1 |
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END IF |
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qmin = 0.4995 |
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qmin = 0. |
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IF (first) THEN |
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PRINT *, 'SCHEMA AMONT NOUVEAU' |
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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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PRINT *, coslondlon(i), sinlondlon(i) |
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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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PRINT *, 'sum sinlondlon ', ssum(iim, sinlondlon, 1)/sinlondlon(1) |
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PRINT *, 'sum coslondlon ', ssum(iim, coslondlon, 1)/coslondlon(1) |
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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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END DO |
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END DO |
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END DO |
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END IF |
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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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! *** Rem : utilisation de SCOPY ulterieurement |
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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, llm+1-l) = q(i, j, l, 0) |
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sx(i, j, llm+1-l) = q(i, j, l, 1) |
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sy(i, j, llm+1-l) = q(i, j, l, 2) |
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sz(i, j, llm+1-l) = q(i, j, l, 3) |
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END DO |
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END DO |
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END DO |
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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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! *** On converti les champs S en atome (resp. kg) |
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! *** Les routines d'advection traitent les champs |
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! *** a advecter si ces derniers sont en atome (resp. kg) |
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! *** A optimiser !!! |
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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) = s0(i, j, l)*sm(i, j, l) |
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sx(i, j, l) = sx(i, j, l)*sm(i, j, l) |
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sy(i, j, l) = sy(i, j, l)*sm(i, j, l) |
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sz(i, j, l) = sz(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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! *** Appel des subroutines d'advection en X, en Y et en Z |
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! *** Advection avec "time-splitting" |
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IF (mode==2) THEN |
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DO l = 1, llm |
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s0s = 0. |
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s0n = 0. |
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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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smn = 0. |
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sms = 0. |
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DO i = 1, iim |
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smn = smn + sm(i, 1, l) |
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sms = sms + sm(i, jjp1, l) |
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s0n = s0n + s0(i, 1, l) |
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s0s = s0s + s0(i, jjp1, l) |
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zz = sy(i, 1, l)/sm(i, 1, l) |
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dyn1 = dyn1 + sinlondlon(i)*zz |
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dyn2 = dyn2 + coslondlon(i)*zz |
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zz = sy(i, jjp1, l)/sm(i, jjp1, 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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sy(i, 1, l) = dyn1*sinlon(i) + dyn2*coslon(i) |
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sy(i, jjp1, l) = dys1*sinlon(i) + dys2*coslon(i) |
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END DO |
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DO i = 1, iim |
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s0(i, 1, l) = s0n/smn + sy(i, 1, l) |
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s0(i, jjp1, l) = s0s/sms - sy(i, jjp1, l) |
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END DO |
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s0(iip1, 1, l) = s0(1, 1, l) |
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s0(iip1, jjp1, l) = s0(1, jjp1, l) |
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DO i = 1, iim |
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sxn(i) = s0(i+1, 1, l) - s0(i, 1, l) |
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sxs(i) = s0(i+1, jjp1, l) - s0(i, jjp1, l) |
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! on rerentre les masses |
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END DO |
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DO i = 1, iim |
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sy(i, 1, l) = sy(i, 1, l)*sm(i, 1, l) |
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sy(i, jjp1, l) = sy(i, jjp1, l)*sm(i, jjp1, l) |
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s0(i, 1, l) = s0(i, 1, l)*sm(i, 1, l) |
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s0(i, jjp1, l) = s0(i, jjp1, l)*sm(i, jjp1, l) |
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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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sx(i+1, 1, l) = 0.25*(sxn(i)+sxn(i+1))*sm(i+1, 1, l) |
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sx(i+1, jjp1, l) = 0.25*(sxs(i)+sxs(i+1))*sm(i+1, jjp1, l) |
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END DO |
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s0(iip1, 1, l) = s0(1, 1, l) |
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s0(iip1, jjp1, l) = s0(1, jjp1, l) |
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sy(iip1, 1, l) = sy(1, 1, l) |
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sy(iip1, jjp1, l) = sy(1, jjp1, l) |
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sx(1, 1, l) = sx(iip1, 1, l) |
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sx(1, jjp1, l) = sx(iip1, jjp1, l) |
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END DO |
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END IF |
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IF (mode==4) THEN |
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DO l = 1, llm |
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DO i = 1, iip1 |
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sx(i, 1, l) = 0. |
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sx(i, jjp1, l) = 0. |
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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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END IF |
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CALL limx(s0, sx, sm, pente_max) |
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CALL advx(limit, .5*dtvr, pbaru, sm, s0, sx, sy, sz, lati, latf) |
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IF (mode==4) THEN |
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DO l = 1, llm |
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DO i = 1, iip1 |
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sx(i, 1, l) = 0. |
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sx(i, jjp1, l) = 0. |
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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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END IF |
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CALL limy(s0, sy, sm, pente_max) |
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CALL advy(limit, .5*dtvr, pbarv, sm, s0, sx, sy, sz) |
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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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END DO |
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END DO |
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CALL limz(s0, sz, sm, pente_max) |
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CALL advz(limit, dtvr, w, sm, s0, sx, sy, sz) |
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IF (mode==4) THEN |
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DO l = 1, llm |
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DO i = 1, iip1 |
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sx(i, 1, l) = 0. |
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sx(i, jjp1, l) = 0. |
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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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END IF |
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CALL limy(s0, sy, sm, pente_max) |
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CALL advy(limit, .5*dtvr, pbarv, sm, s0, sx, sy, sz) |
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DO l = 1, llm |
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DO j = 1, jjp1 |
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sm(iip1, j, l) = sm(1, j, l) |
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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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END DO |
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END DO |
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IF (mode==4) THEN |
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DO l = 1, llm |
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DO i = 1, iip1 |
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sx(i, 1, l) = 0. |
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sx(i, jjp1, l) = 0. |
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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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END IF |
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CALL limx(s0, sx, sm, pente_max) |
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CALL advx(limit, .5*dtvr, pbaru, sm, s0, sx, sy, sz, lati, latf) |
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! *** On repasse les S dans la variable q directement 14/10/94 |
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! On revient a des rapports de melange en divisant par la masse |
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! En dehors des poles: |
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DO l = 1, llm |
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DO j = 1, jjp1 |
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DO i = 1, iim |
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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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END DO |
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END DO |
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END DO |
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! Traitements specifiques au pole |
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IF (mode>=1) THEN |
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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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IF (mode==3) THEN |
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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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dyn1 = dyn1 + sinlondlon(i)*sy(i, 1, l)/sm(i, 1, l) |
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dyn2 = dyn2 + coslondlon(i)*sy(i, 1, l)/sm(i, 1, l) |
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dys1 = dys1 + sinlondlon(i)*sy(i, jjp1, l)/sm(i, jjp1, l) |
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dys2 = dys2 + coslondlon(i)*sy(i, jjp1, l)/sm(i, jjp1, l) |
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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) |
333 |
|
|
q(i, 1, llm+1-l, 0) = q(i, 1, llm+1-l, 0) + q(i, 1, llm+1-l, 2) |
334 |
|
|
q(i, jjp1, llm+1-l, 2) = (sinlon(i)*dys1+coslon(i)*dys2) |
335 |
|
|
q(i, jjp1, llm+1-l, 0) = q(i, jjp1, llm+1-l, 0) - & |
336 |
|
|
q(i, jjp1, llm+1-l, 2) |
337 |
|
|
END DO |
338 |
|
|
END IF |
339 |
|
|
IF (mode==1) THEN |
340 |
|
|
! on filtre les valeurs au bord de la "grande maille pole" |
341 |
|
|
dyn1 = 0. |
342 |
|
|
dys1 = 0. |
343 |
|
|
dyn2 = 0. |
344 |
|
|
dys2 = 0. |
345 |
|
|
DO i = 1, iim |
346 |
|
|
zz = s0(i, 2, l)/sm(i, 2, l) - q(i, 1, llm+1-l, 0) |
347 |
|
|
dyn1 = dyn1 + sinlondlon(i)*zz |
348 |
|
|
dyn2 = dyn2 + coslondlon(i)*zz |
349 |
|
|
zz = q(i, jjp1, llm+1-l, 0) - s0(i, jjm, l)/sm(i, jjm, l) |
350 |
|
|
dys1 = dys1 + sinlondlon(i)*zz |
351 |
|
|
dys2 = dys2 + coslondlon(i)*zz |
352 |
|
|
END DO |
353 |
|
|
DO i = 1, iim |
354 |
|
|
q(i, 1, llm+1-l, 2) = (sinlon(i)*dyn1+coslon(i)*dyn2)/2. |
355 |
|
|
q(i, 1, llm+1-l, 0) = q(i, 1, llm+1-l, 0) + q(i, 1, llm+1-l, 2) |
356 |
|
|
q(i, jjp1, llm+1-l, 2) = (sinlon(i)*dys1+coslon(i)*dys2)/2. |
357 |
|
|
q(i, jjp1, llm+1-l, 0) = q(i, jjp1, llm+1-l, 0) - & |
358 |
|
|
q(i, jjp1, llm+1-l, 2) |
359 |
|
|
END DO |
360 |
|
|
q(iip1, 1, llm+1-l, 0) = q(1, 1, llm+1-l, 0) |
361 |
|
|
q(iip1, jjp1, llm+1-l, 0) = q(1, jjp1, llm+1-l, 0) |
362 |
|
|
|
363 |
|
|
DO i = 1, iim |
364 |
|
|
sxn(i) = q(i+1, 1, llm+1-l, 0) - q(i, 1, llm+1-l, 0) |
365 |
|
|
sxs(i) = q(i+1, jjp1, llm+1-l, 0) - q(i, jjp1, llm+1-l, 0) |
366 |
|
|
END DO |
367 |
|
|
sxn(iip1) = sxn(1) |
368 |
|
|
sxs(iip1) = sxs(1) |
369 |
|
|
DO i = 1, iim |
370 |
|
|
q(i+1, 1, llm+1-l, 1) = 0.25*(sxn(i)+sxn(i+1)) |
371 |
|
|
q(i+1, jjp1, llm+1-l, 1) = 0.25*(sxs(i)+sxs(i+1)) |
372 |
|
|
END DO |
373 |
|
|
q(1, 1, llm+1-l, 1) = q(iip1, 1, llm+1-l, 1) |
374 |
|
|
q(1, jjp1, llm+1-l, 1) = q(iip1, jjp1, llm+1-l, 1) |
375 |
|
|
|
376 |
|
|
END IF |
377 |
|
|
|
378 |
|
|
END DO |
379 |
|
|
END IF |
380 |
|
|
|
381 |
|
|
! bouclage en longitude |
382 |
|
|
DO iq = 0, 3 |
383 |
|
|
DO l = 1, llm |
384 |
|
|
DO j = 1, jjp1 |
385 |
|
|
q(iip1, j, l, iq) = q(1, j, l, iq) |
386 |
|
|
END DO |
387 |
|
|
END DO |
388 |
|
|
END DO |
389 |
|
|
|
390 |
|
|
DO l = 1, llm |
391 |
|
|
DO j = 1, jjp1 |
392 |
|
|
DO i = 1, iip1 |
393 |
|
|
IF (q(i,j,l,0)<0.) THEN |
394 |
|
|
q(i, j, l, 0) = 0. |
395 |
|
|
END IF |
396 |
|
|
END DO |
397 |
|
|
END DO |
398 |
|
|
END DO |
399 |
|
|
|
400 |
|
|
DO l = 1, llm |
401 |
|
|
DO j = 1, jjp1 |
402 |
|
|
DO i = 1, iip1 |
403 |
|
|
IF (q(i,j,l,0)<qmin) PRINT *, 'apres pentes, s0(', i, ',', j, ',', l, & |
404 |
|
|
')=', q(i, j, l, 0) |
405 |
|
|
END DO |
406 |
|
|
END DO |
407 |
|
|
END DO |
408 |
|
|
RETURN |
409 |
|
|
END SUBROUTINE pentes_ini |