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module coefkz_m |
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|
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IMPLICIT none |
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|
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contains |
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|
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SUBROUTINE coefkz(nsrf, paprs, pplay, ksta, ksta_ter, ts, rugos, u, v, t, & |
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q, qsurf, coefm, coefh, ycdragm, ycdragh) |
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|
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! Authors: F. Hourdin, M. Forichon, Z. X. Li (LMD/CNRS) |
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! Date: September 22nd, 1993 |
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! Objet : calculer le coefficient de frottement du sol ("Cdrag") et les |
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! coefficients d'échange turbulent dans l'atmosphère. |
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|
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use clcdrag_m, only: clcdrag |
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USE conf_phys_m, ONLY: iflag_pbl |
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USE dimphy, ONLY: klev, klon |
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USE fcttre, ONLY: foede, foeew |
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USE indicesol, ONLY: is_oce |
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USE suphec_m, ONLY: rcpd, rd, retv, rg, rkappa, rlstt, rlvtt, rtt |
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USE yoethf_m, ONLY: r2es, r5ies, r5les, rvtmp2 |
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|
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integer, intent(in):: nsrf ! indicateur de la nature du sol |
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|
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REAL, intent(in):: paprs(:, :) ! (klon, klev+1) |
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! pression a chaque intercouche (en Pa) |
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|
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real, intent(in):: pplay(:, :) ! (klon, klev) |
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! pression au milieu de chaque couche (en Pa) |
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|
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REAL, intent(in):: ksta, ksta_ter |
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REAL, intent(in):: ts(:) ! (knon) temperature du sol (en Kelvin) |
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REAL, intent(in):: rugos(:) ! (klon) longeur de rugosite (en m) |
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REAL, intent(in):: u(:, :), v(:, :) ! (klon, klev) wind |
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REAL, intent(in):: t(:, :) ! (klon, klev) temperature (K) |
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real, intent(in):: q(:, :) ! (klon, klev) vapeur d'eau (kg/kg) |
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real, intent(in):: qsurf(:) ! (knon) |
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REAL, intent(out):: coefm(:, 2:) ! (knon, 2:klev) coefficient, vitesse |
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|
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real, intent(out):: coefh(:, 2:) ! (knon, 2:klev) |
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! coefficient, chaleur et humidité |
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|
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real, intent(out):: ycdragm(:), ycdragh(:) ! (knon) |
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|
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! Local: |
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|
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INTEGER knon ! nombre de points a traiter |
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INTEGER itop(size(coefm, 1)) ! (knon) numero de couche du sommet |
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! de la couche limite |
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|
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! Quelques constantes et options: |
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|
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REAL, PARAMETER:: cepdu2 =0.1**2 |
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REAL, PARAMETER:: CKAP = 0.4 |
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REAL, PARAMETER:: cb = 5. |
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REAL, PARAMETER:: cc = 5. |
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REAL, PARAMETER:: cd = 5. |
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REAL, PARAMETER:: clam = 160. |
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REAL, PARAMETER:: ratqs = 0.05 ! largeur de distribution de vapeur d'eau |
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|
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LOGICAL, PARAMETER:: richum = .TRUE. |
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! utilise le nombre de Richardson humide |
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|
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REAL, PARAMETER:: ric = 0.4 ! nombre de Richardson critique |
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REAL, PARAMETER:: prandtl = 0.4 |
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|
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REAL kstable ! diffusion minimale (situation stable) |
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REAL, PARAMETER:: mixlen = 35. ! constante contrôlant longueur de mélange |
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INTEGER, PARAMETER:: isommet = klev ! sommet de la couche limite |
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|
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LOGICAL, PARAMETER:: tvirtu = .TRUE. |
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! calculer Ri d'une maniere plus performante |
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|
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LOGICAL, PARAMETER:: opt_ec = .FALSE. |
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! formule du Centre Europeen dans l'atmosphere |
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|
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INTEGER i, k |
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REAL zgeop(klon, klev) |
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REAL zmgeom(klon) |
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REAL ri(klon) |
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REAL l2(klon) |
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|
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REAL u1(klon), v1(klon), t1(klon), q1(klon), z1(klon) |
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|
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REAL zdphi, zdu2, ztvd, ztvu, cdn |
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REAL scf |
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REAL zt, zq, zcvm5, zcor, zqs, zfr, zdqs |
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logical zdelta |
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REAL z2geomf, zalh2, alm2, zscfh, scfm |
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REAL gamt(2:klev) ! contre-gradient pour la chaleur sensible: Kelvin/metre |
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|
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!-------------------------------------------------------------------- |
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|
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knon = size(coefm, 1) |
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|
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! Prescrire la valeur de contre-gradient |
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if (iflag_pbl.eq.1) then |
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DO k = 3, klev |
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gamt(k) = -1.0E-03 |
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ENDDO |
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gamt(2) = -2.5E-03 |
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else |
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DO k = 2, klev |
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gamt(k) = 0.0 |
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ENDDO |
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ENDIF |
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|
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IF ( nsrf .NE. is_oce ) THEN |
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kstable = ksta_ter |
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ELSE |
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kstable = ksta |
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ENDIF |
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|
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! Calculer les géopotentiels de chaque couche |
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DO i = 1, knon |
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zgeop(i, 1) = RD * t(i, 1) / (0.5 * (paprs(i, 1) + pplay(i, 1))) & |
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* (paprs(i, 1) - pplay(i, 1)) |
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ENDDO |
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DO k = 2, klev |
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DO i = 1, knon |
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zgeop(i, k) = zgeop(i, k-1) & |
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+ RD * 0.5*(t(i, k-1)+t(i, k)) / paprs(i, k) & |
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* (pplay(i, k-1)-pplay(i, k)) |
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ENDDO |
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ENDDO |
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|
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! Calculer le frottement au sol (Cdrag) |
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|
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DO i = 1, knon |
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u1(i) = u(i, 1) |
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v1(i) = v(i, 1) |
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t1(i) = t(i, 1) |
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q1(i) = q(i, 1) |
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z1(i) = zgeop(i, 1) |
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ENDDO |
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|
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CALL clcdrag(nsrf, u1, v1, t1, q1, z1, ts, qsurf, rugos, ycdragm, ycdragh) |
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|
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! Calculer les coefficients turbulents dans l'atmosphere |
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|
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itop = isommet |
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|
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loop_vertical: DO k = 2, isommet |
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loop_horiz: DO i = 1, knon |
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zdu2 = MAX(cepdu2, (u(i, k)-u(i, k-1))**2 & |
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+(v(i, k)-v(i, k-1))**2) |
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zmgeom(i) = zgeop(i, k)-zgeop(i, k-1) |
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zdphi =zmgeom(i) / 2.0 |
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zt = (t(i, k)+t(i, k-1)) * 0.5 |
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zq = (q(i, k)+q(i, k-1)) * 0.5 |
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|
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! calculer Qs et dQs/dT: |
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|
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zdelta = RTT >=zt |
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zcvm5 = merge(R5IES * RLSTT, R5LES * RLVTT, zdelta) / RCPD & |
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/ (1. + RVTMP2*zq) |
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zqs = R2ES * FOEEW(zt, zdelta) / pplay(i, k) |
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zqs = MIN(0.5, zqs) |
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zcor = 1./(1.-RETV*zqs) |
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zqs = zqs*zcor |
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zdqs = FOEDE(zt, zdelta, zcvm5, zqs, zcor) |
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|
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! calculer la fraction nuageuse (processus humide): |
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|
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zfr = (zq+ratqs*zq-zqs) / (2.0*ratqs*zq) |
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zfr = MAX(0.0, MIN(1.0, zfr)) |
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IF (.NOT.richum) zfr = 0.0 |
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|
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! calculer le nombre de Richardson: |
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|
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IF (tvirtu) THEN |
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ztvd =( t(i, k) & |
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+ zdphi/RCPD/(1.+RVTMP2*zq) & |
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*( (1.-zfr) + zfr*(1.+RLVTT*zqs/RD/zt)/(1.+zdqs) ) & |
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)*(1.+RETV*q(i, k)) |
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ztvu =( t(i, k-1) & |
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- zdphi/RCPD/(1.+RVTMP2*zq) & |
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*( (1.-zfr) + zfr*(1.+RLVTT*zqs/RD/zt)/(1.+zdqs) ) & |
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)*(1.+RETV*q(i, k-1)) |
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ri(i) =zmgeom(i)*(ztvd-ztvu)/(zdu2*0.5*(ztvd+ztvu)) |
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ri(i) = ri(i) & |
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+ zmgeom(i)*zmgeom(i)/RG*gamt(k) & |
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*(paprs(i, k)/101325.0)**RKAPPA & |
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/(zdu2*0.5*(ztvd+ztvu)) |
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ELSE |
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! calcul de Ridchardson compatible LMD5 |
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ri(i) =(RCPD*(t(i, k)-t(i, k-1)) & |
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-RD*0.5*(t(i, k)+t(i, k-1))/paprs(i, k) & |
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*(pplay(i, k)-pplay(i, k-1)) & |
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)*zmgeom(i)/(zdu2*0.5*RCPD*(t(i, k-1)+t(i, k))) |
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ri(i) = ri(i) + & |
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zmgeom(i)*zmgeom(i)*gamt(k)/RG & |
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*(paprs(i, k)/101325.0)**RKAPPA & |
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/(zdu2*0.5*(t(i, k-1)+t(i, k))) |
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ENDIF |
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|
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! finalement, les coefficients d'echange sont obtenus: |
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|
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cdn = SQRT(zdu2) / zmgeom(i) * RG |
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|
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IF (opt_ec) THEN |
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z2geomf = zgeop(i, k-1)+zgeop(i, k) |
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alm2 = (0.5*ckap/RG*z2geomf & |
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/(1.+0.5*ckap/rg/clam*z2geomf))**2 |
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zalh2 = (0.5*ckap/rg*z2geomf & |
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/(1.+0.5*ckap/RG/(clam*SQRT(1.5*cd))*z2geomf))**2 |
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IF (ri(i) < 0.) THEN |
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! situation instable |
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scf = ((zgeop(i, k)/zgeop(i, k-1))**(1./3.)-1.)**3 & |
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/ (zmgeom(i)/RG)**3 / (zgeop(i, k-1)/RG) |
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scf = SQRT(-ri(i)*scf) |
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scfm = 1.0 / (1.0+3.0*cb*cc*alm2*scf) |
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zscfh = 1.0 / (1.0+3.0*cb*cc*zalh2*scf) |
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coefm(i, k) = cdn * alm2 * (1. - 2. * cb * ri(i) * scfm) |
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coefh(i, k) = cdn*zalh2*(1.-3.0*cb*ri(i)*zscfh) |
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ELSE |
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! situation stable |
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scf = SQRT(1.+cd*ri(i)) |
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coefm(i, k) = cdn * alm2 / (1. + 2. * cb * ri(i) / scf) |
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coefh(i, k) = cdn*zalh2/(1.+3.0*cb*ri(i)*scf) |
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ENDIF |
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ELSE |
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l2(i) = (mixlen*MAX(0.0, (paprs(i, k)-paprs(i, itop(i)+1)) & |
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/(paprs(i, 2)-paprs(i, itop(i)+1)) ))**2 |
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coefm(i, k) = sqrt(max(cdn**2 * (ric - ri(i)) / ric, kstable)) |
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coefm(i, k)= l2(i) * coefm(i, k) |
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coefh(i, k) = coefm(i, k) / prandtl ! h et m different |
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ENDIF |
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ENDDO loop_horiz |
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ENDDO loop_vertical |
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|
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! Au-delà du sommet, pas de diffusion turbulente : |
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forall (i = 1: knon) |
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coefh(i, itop(i) + 1:) = 0. |
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coefm(i, itop(i) + 1:) = 0. |
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END forall |
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|
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END SUBROUTINE coefkz |
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|
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end module coefkz_m |
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