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module HBTM_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 HBTM(knon, paprs, pplay, t2m, q2m, ustar, flux_t, & |
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flux_q, u, v, t, q, pblh, cape, EauLiq, ctei, pblT, therm, trmb1, & |
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trmb2, trmb3, plcl) |
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|
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! D'apr\'es Holstag et Boville et Troen et Mahrt |
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! JAS 47 BLM |
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! Algorithme th\'ese Anne Mathieu |
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! Crit\'ere d'entra\^inement Peter Duynkerke (JAS 50) |
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! written by: Anne MATHIEU and Alain LAHELLEC, 22nd November 1999 |
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! features : implem. exces Mathieu |
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|
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! modifications : decembre 99 passage th a niveau plus bas. voir fixer |
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! la prise du th a z/Lambda = -.2 (max Ray) |
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! Autre algo : entrainement ~ Theta+v =cste mais comment=>The? |
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! on peut fixer q a .7 qsat (cf. non adiabatique) => T2 et The2 |
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! voir aussi //KE pblh = niveau The_e ou l = env. |
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|
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! fin therm a la HBTM passage a forme Mathieu 12/09/2001 |
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|
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! Adaptation a LMDZ version couplee Pour le moment on fait passer |
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! en argument les grandeurs de surface : flux, t, q2m, t, on va |
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! utiliser systematiquement les grandeurs a 2m mais on garde la |
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! possibilit\'e de changer si besoin est (jusqu'à pr\'esent la |
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! forme de HB avec le 1er niveau modele etait conservee) |
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|
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USE dimphy, ONLY: klev, klon |
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USE suphec_m, ONLY: rcpd, rd, retv, rg, rkappa, rlvtt, rtt, rv |
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USE yoethf_m, ONLY: r2es, rvtmp2 |
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USE fcttre, ONLY: foeew |
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|
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REAL RLvCp, REPS |
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! Arguments: |
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|
| 40 |
! nombre de points a calculer |
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INTEGER, intent(in):: knon |
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|
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REAL, intent(in):: t2m(klon) ! temperature a 2 m |
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! q a 2 et 10m |
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REAL q2m(klon) |
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REAL ustar(klon) |
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! pression a inter-couche (Pa) |
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REAL paprs(klon, klev+1) |
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! pression au milieu de couche (Pa) |
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REAL pplay(klon, klev) |
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! Flux |
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REAL flux_t(klon, klev), flux_q(klon, klev) |
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! vitesse U (m/s) |
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REAL u(klon, klev) |
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! vitesse V (m/s) |
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REAL v(klon, klev) |
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! temperature (K) |
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REAL t(klon, klev) |
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! vapeur d'eau (kg/kg) |
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REAL q(klon, klev) |
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|
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INTEGER isommet |
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! limite max sommet pbl |
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PARAMETER (isommet=klev) |
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REAL vk |
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! Von Karman => passer a .41 ! cf U.Olgstrom |
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PARAMETER (vk=0.35) |
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REAL ricr |
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PARAMETER (ricr=0.4) |
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REAL fak |
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! b calcul du Prandtl et de dTetas |
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PARAMETER (fak=8.5) |
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REAL fakn |
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! a |
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PARAMETER (fakn=7.2) |
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REAL onet |
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PARAMETER (onet=1.0/3.0) |
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REAL t_coup |
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PARAMETER(t_coup=273.15) |
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REAL zkmin |
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PARAMETER (zkmin=0.01) |
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REAL betam |
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! pour Phim / h dans la S.L stable |
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PARAMETER (betam=15.0) |
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REAL betah |
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PARAMETER (betah=15.0) |
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REAL betas |
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! Phit dans la S.L. stable (mais 2 formes / |
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PARAMETER (betas=5.0) |
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! z/OBL<>1 |
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REAL sffrac |
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! S.L. = z/h < .1 |
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PARAMETER (sffrac=0.1) |
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REAL binm |
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PARAMETER (binm=betam*sffrac) |
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REAL binh |
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PARAMETER (binh=betah*sffrac) |
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REAL ccon |
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PARAMETER (ccon=fak*sffrac*vk) |
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|
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REAL q_star, t_star |
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! Lambert correlations T' q' avec T* q* |
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REAL b1, b2, b212, b2sr |
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PARAMETER (b1=70., b2=20.) |
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|
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REAL z(klon, klev) |
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|
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REAL zref |
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! Niveau de ref a 2m peut eventuellement |
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PARAMETER (zref=2.) |
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! etre choisi a 10m |
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|
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INTEGER i, k |
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REAL zxt |
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! surface kinematic heat flux [mK/s] |
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REAL khfs(klon) |
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! sfc kinematic constituent flux [m/s] |
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REAL kqfs(klon) |
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! surface virtual heat flux |
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REAL heatv(klon) |
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! bulk Richardon no. mais en Theta_v |
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REAL rhino(klon, klev) |
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! pts w/unstbl pbl (positive virtual ht flx) |
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LOGICAL unstbl(klon) |
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! stable pbl with levels within pbl |
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LOGICAL stblev(klon) |
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! unstbl pbl with levels within pbl |
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LOGICAL unslev(klon) |
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! unstb pbl w/lvls within srf pbl lyr |
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LOGICAL unssrf(klon) |
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! unstb pbl w/lvls in outer pbl lyr |
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LOGICAL unsout(klon) |
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LOGICAL check(klon) ! Richardson number > critical |
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! flag de prolongerment cape pour pt Omega |
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LOGICAL omegafl(klon) |
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REAL pblh(klon) |
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REAL pblT(klon) |
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REAL plcl(klon) |
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|
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! Monin-Obukhov lengh |
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REAL obklen(klon) |
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|
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REAL zdu2 |
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! thermal virtual temperature excess |
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REAL therm(klon) |
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REAL trmb1(klon), trmb2(klon), trmb3(klon) |
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! Algorithme thermique |
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REAL s(klon, klev) ! [P/Po]^Kappa milieux couches |
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! equivalent potential temperature of therma |
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REAL The_th(klon) |
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! total water of thermal |
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REAL qT_th(klon) |
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! T thermique niveau precedent |
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REAL Tbef(klon) |
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REAL qsatbef(klon) |
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! le thermique est sature |
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LOGICAL Zsat(klon) |
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! Cape du thermique |
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REAL Cape(klon) |
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! Cape locale |
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REAL Kape(klon) |
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! Eau liqu integr du thermique |
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REAL EauLiq(klon) |
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! Critere d'instab d'entrainmt des nuages de |
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REAL ctei(klon) |
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REAL aa, zthvd, zthvu, qqsat |
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REAL a1, a2, a3 |
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REAL t2 |
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|
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! inverse phi function for momentum |
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REAL phiminv(klon) |
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! inverse phi function for heat |
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REAL phihinv(klon) |
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! turbulent velocity scale for momentum |
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REAL wm(klon) |
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! k*ustar*pblh |
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REAL fak1(klon) |
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! k*wm*pblh |
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REAL fak2(klon) |
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! fakn*wstr/wm |
| 181 |
REAL fak3(klon) |
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! level eddy diffusivity for momentum |
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REAL pblk(klon) |
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! Prandtl number for eddy diffusivities |
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REAL pr(klon) |
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! zmzp / Obukhov length |
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REAL zl(klon) |
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! zmzp / pblh |
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REAL zh(klon) |
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! (1-(zmzp/pblh))**2 |
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REAL zzh(klon) |
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! w*, convective velocity scale |
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REAL wstr(klon) |
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! current level height |
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REAL zm(klon) |
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! current level height + one level up |
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REAL zp(klon) |
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REAL zcor |
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|
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REAL fac, pblmin, zmzp, term |
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|
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!----------------------------------------------------------------- |
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|
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! initialisations |
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q_star = 0 |
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t_star = 0 |
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|
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b212=sqrt(b1*b2) |
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b2sr=sqrt(b2) |
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|
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! Initialisation |
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RLvCp = RLVTT/RCPD |
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REPS = RD/RV |
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|
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! Calculer les hauteurs de chaque couche |
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! (geopotentielle Int_dp/ro = Int_[Rd.T.dp/p] z = geop/g) |
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! pourquoi ne pas utiliser Phi/RG ? |
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DO i = 1, knon |
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z(i, 1) = RD * t(i, 1) / (0.5*(paprs(i, 1)+pplay(i, 1))) & |
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* (paprs(i, 1)-pplay(i, 1)) / RG |
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s(i, 1) = (pplay(i, 1)/paprs(i, 1))**RKappa |
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ENDDO |
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! s(k) = [pplay(k)/ps]^kappa |
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! + + + + + + + + + pplay <-> s(k) t dp=pplay(k-1)-pplay(k) |
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! ----------------- paprs <-> sig(k) |
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! + + + + + + + + + pplay <-> s(k-1) |
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! + + + + + + + + + pplay <-> s(1) t dp=paprs-pplay z(1) |
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! ----------------- paprs <-> sig(1) |
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|
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DO k = 2, klev |
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DO i = 1, knon |
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z(i, k) = z(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)) / RG |
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s(i, k) = (pplay(i, k) / paprs(i, 1))**RKappa |
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ENDDO |
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ENDDO |
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|
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! Determination des grandeurs de surface |
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DO i = 1, knon |
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! Niveau de ref choisi a 2m |
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zxt = t2m(i) |
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|
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! convention >0 vers le bas ds lmdz |
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khfs(i) = - flux_t(i, 1)*zxt*Rd / (RCPD*paprs(i, 1)) |
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kqfs(i) = - flux_q(i, 1)*zxt*Rd / (paprs(i, 1)) |
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! verifier que khfs et kqfs sont bien de la forme w'l' |
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heatv(i) = khfs(i) + 0.608*zxt*kqfs(i) |
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! a comparer aussi aux sorties de clqh : flux_T/RoCp et flux_q/RoLv |
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! Theta et qT du thermique sans exces (interpolin vers surf) |
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! chgt de niveau du thermique (jeudi 30/12/1999) |
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! (interpolation lineaire avant integration phi_h) |
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qT_th(i) = q2m(i) |
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ENDDO |
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|
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DO i = 1, knon |
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! Global Richardson |
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rhino(i, 1) = 0.0 |
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check(i) = .TRUE. |
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! on initialise pblh a l'altitude du 1er niv |
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pblh(i) = z(i, 1) |
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plcl(i) = 6000. |
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! Lambda = -u*^3 / (alpha.g.kvon.<w'Theta'v> |
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obklen(i) = -t(i, 1)*ustar(i)**3/(RG*vk*heatv(i)) |
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trmb1(i) = 0. |
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trmb2(i) = 0. |
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trmb3(i) = 0. |
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ENDDO |
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|
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! PBL height calculation: Search for level of pbl. Scan upward |
| 271 |
! until the Richardson number between the first level and the |
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! current level exceeds the "critical" value. (bonne idee Nu de |
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! separer le Ric et l'exces de temp du thermique) |
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fac = 100. |
| 275 |
DO k = 2, isommet |
| 276 |
DO i = 1, knon |
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IF (check(i)) THEN |
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! pourquoi / niveau 1 (au lieu du sol) et le terme en u*^2 ? |
| 279 |
zdu2 = u(i, k)**2+v(i, k)**2 |
| 280 |
zdu2 = max(zdu2, 1.0e-20) |
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! Theta_v environnement |
| 282 |
zthvd=t(i, k)/s(i, k)*(1.+RETV*q(i, k)) |
| 283 |
|
| 284 |
! therm Theta_v sans exces (avec hypothese fausse de H&B, sinon, |
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! passer par Theta_e et virpot) |
| 286 |
zthvu = T2m(i)*(1.+RETV*qT_th(i)) |
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! Le Ri par Theta_v |
| 288 |
! On a nveau de ref a 2m ??? |
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rhino(i, k) = (z(i, k)-zref)*RG*(zthvd-zthvu) & |
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/(zdu2*0.5*(zthvd+zthvu)) |
| 291 |
|
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IF (rhino(i, k).GE.ricr) THEN |
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pblh(i) = z(i, k-1) + (z(i, k-1)-z(i, k)) * & |
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(ricr-rhino(i, k-1))/(rhino(i, k-1)-rhino(i, k)) |
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! test04 |
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pblh(i) = pblh(i) + 100. |
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pblT(i) = t(i, k-1) + (t(i, k)-t(i, k-1)) * & |
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(pblh(i)-z(i, k-1))/(z(i, k)-z(i, k-1)) |
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check(i) = .FALSE. |
| 300 |
ENDIF |
| 301 |
ENDIF |
| 302 |
ENDDO |
| 303 |
ENDDO |
| 304 |
|
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! Set pbl height to maximum value where computation exceeds number of |
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! layers allowed |
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DO i = 1, knon |
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if (check(i)) pblh(i) = z(i, isommet) |
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ENDDO |
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|
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! Improve estimate of pbl height for the unstable points. |
| 312 |
! Find unstable points (sensible heat flux is upward): |
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DO i = 1, knon |
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IF (heatv(i) > 0.) THEN |
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unstbl(i) = .TRUE. |
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check(i) = .TRUE. |
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ELSE |
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unstbl(i) = .FALSE. |
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check(i) = .FALSE. |
| 320 |
ENDIF |
| 321 |
ENDDO |
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|
| 323 |
! For the unstable case, compute velocity scale and the |
| 324 |
! convective temperature excess: |
| 325 |
DO i = 1, knon |
| 326 |
IF (check(i)) THEN |
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phiminv(i) = (1.-binm*pblh(i)/obklen(i))**onet |
| 328 |
|
| 329 |
! CALCUL DE wm |
| 330 |
! Ici on considerera que l'on est dans la couche de surf jusqu'a 100 |
| 331 |
! On prend svt couche de surface=0.1*h mais on ne connait pas h |
| 332 |
! Dans la couche de surface |
| 333 |
wm(i)= ustar(i)*phiminv(i) |
| 334 |
|
| 335 |
! forme Mathieu : |
| 336 |
q_star = kqfs(i)/wm(i) |
| 337 |
t_star = khfs(i)/wm(i) |
| 338 |
|
| 339 |
a1=b1*(1.+2.*RETV*qT_th(i))*t_star**2 |
| 340 |
a2=(RETV*T2m(i))**2*b2*q_star**2 |
| 341 |
a3=2.*RETV*T2m(i)*b212*q_star*t_star |
| 342 |
aa=a1+a2+a3 |
| 343 |
|
| 344 |
therm(i) = sqrt( b1*(1.+2.*RETV*qT_th(i))*t_star**2 & |
| 345 |
+ (RETV*T2m(i))**2*b2*q_star**2 & |
| 346 |
+ max(0., 2.*RETV*T2m(i)*b212*q_star*t_star)) |
| 347 |
|
| 348 |
! Theta et qT du thermique (forme H&B) avec exces |
| 349 |
! (attention, on ajoute therm(i) qui est virtuelle ...) |
| 350 |
! pourquoi pas sqrt(b1)*t_star ? |
| 351 |
qT_th(i) = qT_th(i) + b2sr*q_star |
| 352 |
! new on differre le calcul de Theta_e |
| 353 |
rhino(i, 1) = 0. |
| 354 |
ENDIF |
| 355 |
ENDDO |
| 356 |
|
| 357 |
! Improve pblh estimate for unstable conditions using the |
| 358 |
! convective temperature excess : |
| 359 |
DO k = 2, isommet |
| 360 |
DO i = 1, knon |
| 361 |
IF (check(i)) THEN |
| 362 |
zdu2 = u(i, k)**2 + v(i, k)**2 |
| 363 |
zdu2 = max(zdu2, 1e-20) |
| 364 |
! Theta_v environnement |
| 365 |
zthvd=t(i, k)/s(i, k)*(1.+RETV*q(i, k)) |
| 366 |
|
| 367 |
! et therm Theta_v (avec hypothese de constance de H&B, |
| 368 |
zthvu = T2m(i)*(1.+RETV*qT_th(i)) + therm(i) |
| 369 |
|
| 370 |
! Le Ri par Theta_v |
| 371 |
! Niveau de ref 2m |
| 372 |
rhino(i, k) = (z(i, k)-zref)*RG*(zthvd-zthvu) & |
| 373 |
/(zdu2*0.5*(zthvd+zthvu)) |
| 374 |
|
| 375 |
IF (rhino(i, k).GE.ricr) THEN |
| 376 |
pblh(i) = z(i, k-1) + (z(i, k-1)-z(i, k)) * & |
| 377 |
(ricr-rhino(i, k-1))/(rhino(i, k-1)-rhino(i, k)) |
| 378 |
! test04 |
| 379 |
pblh(i) = pblh(i) + 100. |
| 380 |
pblT(i) = t(i, k-1) + (t(i, k)-t(i, k-1)) * & |
| 381 |
(pblh(i)-z(i, k-1))/(z(i, k)-z(i, k-1)) |
| 382 |
check(i) = .FALSE. |
| 383 |
ENDIF |
| 384 |
ENDIF |
| 385 |
ENDDO |
| 386 |
ENDDO |
| 387 |
|
| 388 |
! Set pbl height to maximum value where computation exceeds number of |
| 389 |
! layers allowed |
| 390 |
DO i = 1, knon |
| 391 |
if (check(i)) pblh(i) = z(i, isommet) |
| 392 |
ENDDO |
| 393 |
|
| 394 |
! PBL height must be greater than some minimum mechanical mixing depth |
| 395 |
! Several investigators have proposed minimum mechanical mixing depth |
| 396 |
! relationships as a function of the local friction velocity, u*. We |
| 397 |
! make use of a linear relationship of the form h = c u* where c=700. |
| 398 |
! The scaling arguments that give rise to this relationship most often |
| 399 |
! represent the coefficient c as some constant over the local coriolis |
| 400 |
! parameter. Here we make use of the experimental results of Koracin |
| 401 |
! and Berkowicz (1988) [BLM, Vol 43] for wich they recommend 0.07/f |
| 402 |
! where f was evaluated at 39.5 N and 52 N. Thus we use a typical mid |
| 403 |
! latitude value for f so that c = 0.07/f = 700. |
| 404 |
DO i = 1, knon |
| 405 |
pblmin = 700. * ustar(i) |
| 406 |
pblh(i) = MAX(pblh(i), pblmin) |
| 407 |
! par exemple : |
| 408 |
pblT(i) = t(i, 2) + (t(i, 3)-t(i, 2)) * & |
| 409 |
(pblh(i)-z(i, 2))/(z(i, 3)-z(i, 2)) |
| 410 |
ENDDO |
| 411 |
|
| 412 |
! pblh is now available; do preparation for diffusivity calculation: |
| 413 |
DO i = 1, knon |
| 414 |
check(i) = .TRUE. |
| 415 |
Zsat(i) = .FALSE. |
| 416 |
! omegafl utilise pour prolongement CAPE |
| 417 |
omegafl(i) = .FALSE. |
| 418 |
Cape(i) = 0. |
| 419 |
Kape(i) = 0. |
| 420 |
EauLiq(i) = 0. |
| 421 |
CTEI(i) = 0. |
| 422 |
pblk(i) = 0.0 |
| 423 |
fak1(i) = ustar(i)*pblh(i)*vk |
| 424 |
|
| 425 |
! Do additional preparation for unstable cases only, set temperature |
| 426 |
! and moisture perturbations depending on stability. |
| 427 |
! Remarque : les formule sont prises dans leur forme CS |
| 428 |
IF (unstbl(i)) THEN |
| 429 |
! Niveau de ref du thermique |
| 430 |
zxt=(T2m(i)-zref*0.5*RG/RCPD/(1.+RVTMP2*qT_th(i))) & |
| 431 |
*(1.+RETV*qT_th(i)) |
| 432 |
phiminv(i) = (1. - binm*pblh(i)/obklen(i))**onet |
| 433 |
phihinv(i) = sqrt(1. - binh*pblh(i)/obklen(i)) |
| 434 |
wm(i) = ustar(i)*phiminv(i) |
| 435 |
fak2(i) = wm(i)*pblh(i)*vk |
| 436 |
wstr(i) = (heatv(i)*RG*pblh(i)/zxt)**onet |
| 437 |
fak3(i) = fakn*wstr(i)/wm(i) |
| 438 |
ENDIF |
| 439 |
! Computes Theta_e for thermal (all cases : to be modified) |
| 440 |
! attention ajout therm(i) = virtuelle |
| 441 |
The_th(i) = T2m(i) + therm(i) + RLvCp*qT_th(i) |
| 442 |
ENDDO |
| 443 |
|
| 444 |
! Main level loop to compute the diffusivities and |
| 445 |
! counter-gradient terms: |
| 446 |
loop_level: DO k = 2, isommet |
| 447 |
! Find levels within boundary layer: |
| 448 |
DO i = 1, knon |
| 449 |
unslev(i) = .FALSE. |
| 450 |
stblev(i) = .FALSE. |
| 451 |
zm(i) = z(i, k-1) |
| 452 |
zp(i) = z(i, k) |
| 453 |
IF (zkmin == 0. .AND. zp(i) > pblh(i)) zp(i) = pblh(i) |
| 454 |
IF (zm(i) < pblh(i)) THEN |
| 455 |
zmzp = 0.5*(zm(i) + zp(i)) |
| 456 |
zh(i) = zmzp/pblh(i) |
| 457 |
zl(i) = zmzp/obklen(i) |
| 458 |
zzh(i) = 0. |
| 459 |
IF (zh(i) <= 1.) zzh(i) = (1. - zh(i))**2 |
| 460 |
|
| 461 |
! stblev for points zm < plbh and stable and neutral |
| 462 |
! unslev for points zm < plbh and unstable |
| 463 |
IF (unstbl(i)) THEN |
| 464 |
unslev(i) = .TRUE. |
| 465 |
ELSE |
| 466 |
stblev(i) = .TRUE. |
| 467 |
ENDIF |
| 468 |
ENDIF |
| 469 |
ENDDO |
| 470 |
|
| 471 |
! Stable and neutral points; set diffusivities; counter-gradient |
| 472 |
! terms zero for stable case: |
| 473 |
DO i = 1, knon |
| 474 |
IF (stblev(i)) THEN |
| 475 |
IF (zl(i) <= 1.) THEN |
| 476 |
pblk(i) = fak1(i)*zh(i)*zzh(i)/(1. + betas*zl(i)) |
| 477 |
ELSE |
| 478 |
pblk(i) = fak1(i)*zh(i)*zzh(i)/(betas + zl(i)) |
| 479 |
ENDIF |
| 480 |
ENDIF |
| 481 |
ENDDO |
| 482 |
|
| 483 |
! unssrf, unstable within surface layer of pbl |
| 484 |
! unsout, unstable within outer layer of pbl |
| 485 |
DO i = 1, knon |
| 486 |
unssrf(i) = .FALSE. |
| 487 |
unsout(i) = .FALSE. |
| 488 |
IF (unslev(i)) THEN |
| 489 |
IF (zh(i) < sffrac) THEN |
| 490 |
unssrf(i) = .TRUE. |
| 491 |
ELSE |
| 492 |
unsout(i) = .TRUE. |
| 493 |
ENDIF |
| 494 |
ENDIF |
| 495 |
ENDDO |
| 496 |
|
| 497 |
! Unstable for surface layer; counter-gradient terms zero |
| 498 |
DO i = 1, knon |
| 499 |
IF (unssrf(i)) THEN |
| 500 |
term = (1. - betam*zl(i))**onet |
| 501 |
pblk(i) = fak1(i)*zh(i)*zzh(i)*term |
| 502 |
pr(i) = term/sqrt(1. - betah*zl(i)) |
| 503 |
ENDIF |
| 504 |
ENDDO |
| 505 |
|
| 506 |
! Unstable for outer layer; counter-gradient terms non-zero: |
| 507 |
DO i = 1, knon |
| 508 |
IF (unsout(i)) THEN |
| 509 |
pblk(i) = fak2(i)*zh(i)*zzh(i) |
| 510 |
pr(i) = phiminv(i)/phihinv(i) + ccon*fak3(i)/fak |
| 511 |
ENDIF |
| 512 |
ENDDO |
| 513 |
|
| 514 |
! For all layers, compute integral info and CTEI |
| 515 |
DO i = 1, knon |
| 516 |
if (check(i) .or. omegafl(i)) then |
| 517 |
if (.not. Zsat(i)) then |
| 518 |
T2 = T2m(i) * s(i, k) |
| 519 |
! thermodyn functions |
| 520 |
qqsat= r2es * FOEEW(T2, RTT >= T2) / pplay(i, k) |
| 521 |
qqsat=MIN(0.5, qqsat) |
| 522 |
zcor=1./(1.-retv*qqsat) |
| 523 |
qqsat=qqsat*zcor |
| 524 |
|
| 525 |
if (qqsat < qT_th(i)) then |
| 526 |
! on calcule lcl |
| 527 |
if (k == 2) then |
| 528 |
plcl(i) = z(i, k) |
| 529 |
else |
| 530 |
plcl(i) = z(i, k-1) + (z(i, k-1)-z(i, k)) & |
| 531 |
* (qT_th(i)-qsatbef(i)) / (qsatbef(i)-qqsat) |
| 532 |
endif |
| 533 |
Zsat(i) = .true. |
| 534 |
Tbef(i) = T2 |
| 535 |
endif |
| 536 |
endif |
| 537 |
qsatbef(i) = qqsat |
| 538 |
! cette ligne a deja ete faite normalement ? |
| 539 |
endif |
| 540 |
ENDDO |
| 541 |
end DO loop_level |
| 542 |
|
| 543 |
END SUBROUTINE HBTM |
| 544 |
|
| 545 |
end module HBTM_m |
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