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guez |
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SUBROUTINE HBTM(knon, paprs, pplay, |
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. t2m,t10m,q2m,q10m,ustar, |
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. flux_t,flux_q,u,v,t,q, |
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. pblh,cape,EauLiq,ctei,pblT, |
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. therm,trmb1,trmb2,trmb3,plcl) |
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use dimens_m |
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use dimphy |
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use YOMCST |
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use yoethf |
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use fcttre |
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IMPLICIT none |
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c*************************************************************** |
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c* * |
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c* HBTM2 D'apres Holstag&Boville et Troen&Mahrt * |
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c* JAS 47 BLM * |
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c* Algorithme These Anne Mathieu * |
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c* Critere d'Entrainement Peter Duynkerke (JAS 50) * |
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c* written by : Anne MATHIEU & Alain LAHELLEC, 22/11/99 * |
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c* features : implem. exces Mathieu * |
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c*************************************************************** |
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c* mods : decembre 99 passage th a niveau plus bas. voir fixer * |
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c* la prise du th a z/Lambda = -.2 (max Ray) * |
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c* Autre algo : entrainement ~ Theta+v =cste mais comment=>The?* |
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c* on peut fixer q a .7qsat(cf non adiab)=>T2 et The2 * |
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c* voir aussi //KE pblh = niveau The_e ou l = env. * |
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c*************************************************************** |
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c* fin therm a la HBTM passage a forme Mathieu 12/09/2001 * |
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c*************************************************************** |
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c* |
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c |
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c |
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cAM Fev 2003 |
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c Adaptation a LMDZ version couplee |
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c |
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c Pour le moment on fait passer en argument les grdeurs de surface : |
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c flux, t,q2m, t,q10m, on va utiliser systematiquement les grdeurs a 2m ms |
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c on garde la possibilite de changer si besoin est (jusqu'a present la |
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c forme de HB avec le 1er niveau modele etait conservee) |
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c |
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c |
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c |
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c |
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c |
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REAL RLvCp, REPS |
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c Arguments: |
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c |
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INTEGER knon ! nombre de points a calculer |
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cAM |
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REAL t2m(klon), t10m(klon) ! temperature a 2 et 10m |
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REAL q2m(klon), q10m(klon) ! q a 2 et 10m |
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REAL ustar(klon) |
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REAL paprs(klon,klev+1) ! pression a inter-couche (Pa) |
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REAL pplay(klon,klev) ! pression au milieu de couche (Pa) |
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REAL flux_t(klon,klev), flux_q(klon,klev) ! Flux |
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REAL u(klon,klev) ! vitesse U (m/s) |
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REAL v(klon,klev) ! vitesse V (m/s) |
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REAL t(klon,klev) ! temperature (K) |
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REAL q(klon,klev) ! vapeur d'eau (kg/kg) |
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cAM REAL cd_h(klon) ! coefficient de friction au sol pour chaleur |
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cAM REAL cd_m(klon) ! coefficient de friction au sol pour vitesse |
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c |
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INTEGER isommet |
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PARAMETER (isommet=klev) ! limite max sommet pbl |
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REAL vk |
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PARAMETER (vk=0.35) ! Von Karman => passer a .41 ! cf U.Olgstrom |
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REAL ricr |
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PARAMETER (ricr=0.4) |
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REAL fak |
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PARAMETER (fak=8.5) ! b calcul du Prandtl et de dTetas |
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REAL fakn |
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PARAMETER (fakn=7.2) ! a |
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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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PARAMETER (betam=15.0) ! pour Phim / h dans la S.L stable |
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REAL betah |
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PARAMETER (betah=15.0) |
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REAL betas |
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PARAMETER (betas=5.0) ! Phit dans la S.L. stable (mais 2 formes / z/OBL<>1 |
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REAL sffrac |
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PARAMETER (sffrac=0.1) ! S.L. = z/h < .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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c |
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REAL q_star,t_star |
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REAL b1,b2,b212,b2sr ! Lambert correlations T' q' avec T* q* |
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PARAMETER (b1=70.,b2=20.) |
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c |
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REAL z(klon,klev) |
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cAM REAL pcfm(klon,klev), pcfh(klon,klev) |
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cAM |
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REAL zref |
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PARAMETER (zref=2.) ! Niveau de ref a 2m peut eventuellement |
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c etre choisi a 10m |
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cMA |
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c |
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INTEGER i, k, j |
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REAL zxt |
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cAM REAL zxt, zxq, zxu, zxv, zxmod, taux, tauy |
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cAM REAL zx_alf1, zx_alf2 ! parametres pour extrapolation |
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REAL khfs(klon) ! surface kinematic heat flux [mK/s] |
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REAL kqfs(klon) ! sfc kinematic constituent flux [m/s] |
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REAL heatv(klon) ! surface virtual heat flux |
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REAL rhino(klon,klev) ! bulk Richardon no. mais en Theta_v |
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LOGICAL unstbl(klon) ! pts w/unstbl pbl (positive virtual ht flx) |
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LOGICAL stblev(klon) ! stable pbl with levels within pbl |
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LOGICAL unslev(klon) ! unstbl pbl with levels within pbl |
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LOGICAL unssrf(klon) ! unstb pbl w/lvls within srf pbl lyr |
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LOGICAL unsout(klon) ! unstb pbl w/lvls in outer pbl lyr |
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LOGICAL check(klon) ! True=>chk if Richardson no.>critcal |
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LOGICAL omegafl(klon) ! flag de prolongerment cape pour pt Omega |
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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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cAM REAL cgh(klon,2:klev) ! counter-gradient term for heat [K/m] |
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cAM REAL cgq(klon,2:klev) ! counter-gradient term for constituents |
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cAM REAL cgs(klon,2:klev) ! counter-gradient star (cg/flux) |
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REAL obklen(klon) ! Monin-Obukhov lengh |
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cAM REAL ztvd, ztvu, |
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REAL zdu2 |
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REAL therm(klon) ! thermal virtual temperature excess |
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REAL trmb1(klon),trmb2(klon),trmb3(klon) |
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C Algorithme thermique |
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REAL s(klon,klev) ! [P/Po]^Kappa milieux couches |
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REAL Th_th(klon) ! potential temperature of thermal |
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REAL The_th(klon) ! equivalent potential temperature of thermal |
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REAL qT_th(klon) ! total water of thermal |
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REAL Tbef(klon) ! T thermique niveau precedent |
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REAL qsatbef(klon) |
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LOGICAL Zsat(klon) ! le thermique est sature |
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REAL Cape(klon) ! Cape du thermique |
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REAL Kape(klon) ! Cape locale |
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REAL EauLiq(klon) ! Eau liqu integr du thermique |
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REAL ctei(klon) ! Critere d'instab d'entrainmt des nuages de CL |
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REAL the1,the2,aa,bb,zthvd,zthvu,xintpos,qqsat |
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cIM 091204 BEG |
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REAL a1,a2,a3 |
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cIM 091204 END |
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REAL xhis,rnum,denom,th1,th2,thv1,thv2,ql2 |
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REAL dqsat_dt,qsat2,qT1,q2,t1,t2,xnull,delt_the |
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REAL delt_qt,delt_2,quadsat,spblh,reduc |
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c |
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REAL phiminv(klon) ! inverse phi function for momentum |
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REAL phihinv(klon) ! inverse phi function for heat |
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REAL wm(klon) ! turbulent velocity scale for momentum |
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REAL fak1(klon) ! k*ustar*pblh |
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REAL fak2(klon) ! k*wm*pblh |
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REAL fak3(klon) ! fakn*wstr/wm |
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REAL pblk(klon) ! level eddy diffusivity for momentum |
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REAL pr(klon) ! Prandtl number for eddy diffusivities |
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REAL zl(klon) ! zmzp / Obukhov length |
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REAL zh(klon) ! zmzp / pblh |
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REAL zzh(klon) ! (1-(zmzp/pblh))**2 |
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REAL wstr(klon) ! w*, convective velocity scale |
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REAL zm(klon) ! current level height |
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REAL zp(klon) ! current level height + one level up |
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REAL zcor, zdelta, zcvm5 |
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cAM REAL zxqs |
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REAL fac, pblmin, zmzp, term |
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c |
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! initialisations (Anne) |
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th_th(:) = 0. |
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q_star = 0 |
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t_star = 0 |
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b212=sqrt(b1*b2) |
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b2sr=sqrt(b2) |
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c |
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C ============================================================ |
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C Fonctions thermo implicites |
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C ============================================================ |
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c +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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c Tetens : pression partielle de vap d'eau e_sat(T) |
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c ================================================= |
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C++ e_sat(T) = r2*exp( r3*(T-Tf)/(T-r4) ) id a r2*FOEWE |
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C++ avec : |
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C++ Tf = 273.16 K (Temp de fusion de la glace) |
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C++ r2 = 611.14 Pa |
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C++ r3 = 17.269 (liquide) 21.875 (solide) adim |
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C++ r4 = 35.86 7.66 Kelvin |
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C++ q_sat = eps*e_sat/(p-(1-eps)*e_sat) |
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C++ derivée : |
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C++ ========= |
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C++ r3*(Tf-r4)*q_sat(T,p) |
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C++ d_qsat_dT = -------------------------------- |
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C++ (T-r4)^2*( 1-(1-eps)*e_sat(T)/p ) |
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c++ pour zcvm5=Lv, c'est FOEDE |
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c++ Rq :(1.-REPS)*esarg/Parg id a RETV*Qsat |
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C ------------------------------------------------------------------ |
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c |
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c Initialisation |
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RLvCp = RLVTT/RCPD |
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REPS = RD/RV |
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c |
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c DO i = 1, klon |
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c pcfh(i,1) = cd_h(i) |
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c pcfm(i,1) = cd_m(i) |
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c ENDDO |
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c DO k = 2, klev |
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c DO i = 1, klon |
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c pcfh(i,k) = zkmin |
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c pcfm(i,k) = zkmin |
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c cgs(i,k) = 0.0 |
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c cgh(i,k) = 0.0 |
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c cgq(i,k) = 0.0 |
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c ENDDO |
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c ENDDO |
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c |
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c Calculer les hauteurs de chaque couche |
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c (geopotentielle Int_dp/ro = Int_[Rd.T.dp/p] z = geop/g) |
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c 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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c s(k) = [pplay(k)/ps]^kappa |
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c + + + + + + + + + pplay <-> s(k) t dp=pplay(k-1)-pplay(k) |
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c |
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c ----------------- paprs <-> sig(k) |
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c |
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c + + + + + + + + + pplay <-> s(k-1) |
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c |
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c |
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c + + + + + + + + + pplay <-> s(1) t dp=paprs-pplay z(1) |
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c |
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c ----------------- paprs <-> sig(1) |
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c |
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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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c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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c +++ Determination des grandeurs de surface +++++++++++++++++++++ |
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c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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DO i = 1, knon |
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cAM IF (thermcep) THEN |
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cAM zdelta=MAX(0.,SIGN(1.,RTT-tsol(i))) |
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c zcvm5 = R5LES*RLVTT*(1.-zdelta) + R5IES*RLSTT*zdelta |
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c zcvm5 = zcvm5 / RCPD / (1.0+RVTMP2*q(i,1)) |
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cAM zxqs= r2es * FOEEW(tsol(i),zdelta)/paprs(i,1) |
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cAM zxqs=MIN(0.5,zxqs) |
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cAM zcor=1./(1.-retv*zxqs) |
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cAM zxqs=zxqs*zcor |
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cAM ELSE |
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cAM IF (tsol(i).LT.t_coup) THEN |
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cAM zxqs = qsats(tsol(i)) / paprs(i,1) |
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cAM ELSE |
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cAM zxqs = qsatl(tsol(i)) / paprs(i,1) |
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cAM ENDIF |
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cAM ENDIF |
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c niveau de reference bulk; mais ici, c,a pourrait etre le niveau de ref du thermique |
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cAM zx_alf1 = 1.0 |
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cAM zx_alf2 = 1.0 - zx_alf1 |
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cAM zxt = (t(i,1)+z(i,1)*RG/RCPD/(1.+RVTMP2*q(i,1))) |
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cAM . *(1.+RETV*q(i,1))*zx_alf1 |
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cAM . + (t(i,2)+z(i,2)*RG/RCPD/(1.+RVTMP2*q(i,2))) |
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cAM . *(1.+RETV*q(i,2))*zx_alf2 |
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cAM zxu = u(i,1)*zx_alf1+u(i,2)*zx_alf2 |
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cAM zxv = v(i,1)*zx_alf1+v(i,2)*zx_alf2 |
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cAM zxq = q(i,1)*zx_alf1+q(i,2)*zx_alf2 |
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cAM |
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cAMAM zxu = u10m(i) |
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cAMAM zxv = v10m(i) |
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cAMAM zxmod = 1.0+SQRT(zxu**2+zxv**2) |
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cAM Niveau de ref choisi a 2m |
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zxt = t2m(i) |
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c *************************************************** |
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c attention, il doit s'agir de <w'theta'> |
| 291 |
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c ;Calcul de tcls virtuel et de w'theta'virtuel |
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c ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
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c tcls=tcls*(1+.608*qcls) |
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c |
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c ;Pour avoir w'theta', |
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c ; il faut diviser par ro.Cp |
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c Cp=Cpd*(1+0.84*qcls) |
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c fcs=fcs/(ro_surf*Cp) |
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c ;On transforme w'theta' en w'thetav' |
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c Lv=(2.501-0.00237*(tcls-273.15))*1.E6 |
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c xle=xle/(ro_surf*Lv) |
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c fcsv=fcs+.608*xle*tcls |
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c *************************************************** |
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|
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cAM khfs(i) = (tsol(i)*(1.+RETV*q(i,1))-zxt) *zxmod*cd_h(i) |
| 305 |
|
|
cAM kqfs(i) = (zxqs-zxq) *zxmod*cd_h(i) * beta(i) |
| 306 |
|
|
cAM |
| 307 |
|
|
cdif khfs est deja w't'_v / heatv(i) = khfs(i) + RETV*zxt*kqfs(i) |
| 308 |
|
|
cAM calcule de Ro = paprs(i,1)/Rd zxt |
| 309 |
|
|
cAM convention >0 vers le bas ds lmdz |
| 310 |
|
|
khfs(i) = - flux_t(i,1)*zxt*Rd / (RCPD*paprs(i,1)) |
| 311 |
|
|
kqfs(i) = - flux_q(i,1)*zxt*Rd / (paprs(i,1)) |
| 312 |
|
|
cAM verifier que khfs et kqfs sont bien de la forme w'l' |
| 313 |
|
|
heatv(i) = khfs(i) + 0.608*zxt*kqfs(i) |
| 314 |
|
|
c a comparer aussi aux sorties de clqh : flux_T/RoCp et flux_q/RoLv |
| 315 |
|
|
cAM heatv(i) = khfs(i) |
| 316 |
|
|
cAM ustar est en entree |
| 317 |
|
|
cAM taux = zxu *zxmod*cd_m(i) |
| 318 |
|
|
cAM tauy = zxv *zxmod*cd_m(i) |
| 319 |
|
|
cAM ustar(i) = SQRT(taux**2+tauy**2) |
| 320 |
|
|
cAM ustar(i) = MAX(SQRT(ustar(i)),0.01) |
| 321 |
|
|
c Theta et qT du thermique sans exces (interpolin vers surf) |
| 322 |
|
|
c chgt de niveau du thermique (jeudi 30/12/1999) |
| 323 |
|
|
c (interpolation lineaire avant integration phi_h) |
| 324 |
|
|
cAM qT_th(i) = zxqs*beta(i) + 4./z(i,1)*(q(i,1)-zxqs*beta(i)) |
| 325 |
|
|
cAM qT_th(i) = max(qT_th(i),q(i,1)) |
| 326 |
|
|
qT_th(i) = q2m(i) |
| 327 |
|
|
cn The_th restera la Theta du thermique sans exces jusqu'a 2eme calcul |
| 328 |
|
|
cn reste a regler convention P) pour Theta |
| 329 |
|
|
c The_th(i) = tsol(i) + 4./z(i,1)*(t(i,1)-tsol(i)) |
| 330 |
|
|
c - + RLvCp*qT_th(i) |
| 331 |
|
|
cAM Th_th(i) = tsol(i) + 4./z(i,1)*(t(i,1)-tsol(i)) |
| 332 |
|
|
Th_th(i) = t2m(i) |
| 333 |
|
|
ENDDO |
| 334 |
|
|
c |
| 335 |
|
|
DO i = 1, knon |
| 336 |
|
|
rhino(i,1) = 0.0 ! Global Richardson |
| 337 |
|
|
check(i) = .TRUE. |
| 338 |
|
|
pblh(i) = z(i,1) ! on initialise pblh a l'altitude du 1er niveau |
| 339 |
|
|
plcl(i) = 6000. |
| 340 |
|
|
c Lambda = -u*^3 / (alpha.g.kvon.<w'Theta'v> |
| 341 |
|
|
obklen(i) = -t(i,1)*ustar(i)**3/(RG*vk*heatv(i)) |
| 342 |
|
|
trmb1(i) = 0. |
| 343 |
|
|
trmb2(i) = 0. |
| 344 |
|
|
trmb3(i) = 0. |
| 345 |
|
|
ENDDO |
| 346 |
|
|
|
| 347 |
|
|
C |
| 348 |
|
|
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 349 |
|
|
C PBL height calculation: |
| 350 |
|
|
C Search for level of pbl. Scan upward until the Richardson number between |
| 351 |
|
|
C the first level and the current level exceeds the "critical" value. |
| 352 |
|
|
C (bonne idee Nu de separer le Ric et l'exces de temp du thermique) |
| 353 |
|
|
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 354 |
|
|
fac = 100.0 |
| 355 |
|
|
DO k = 2, isommet |
| 356 |
|
|
DO i = 1, knon |
| 357 |
|
|
IF (check(i)) THEN |
| 358 |
|
|
! pourquoi / niveau 1 (au lieu du sol) et le terme en u*^2 ? |
| 359 |
|
|
ctest zdu2 = (u(i,k)-u(i,1))**2+(v(i,k)-v(i,1))**2+fac*ustar(i)**2 |
| 360 |
|
|
zdu2 = u(i,k)**2+v(i,k)**2 |
| 361 |
|
|
zdu2 = max(zdu2,1.0e-20) |
| 362 |
|
|
c Theta_v environnement |
| 363 |
|
|
zthvd=t(i,k)/s(i,k)*(1.+RETV*q(i,k)) |
| 364 |
|
|
c |
| 365 |
|
|
c therm Theta_v sans exces (avec hypothese fausse de H&B, sinon, |
| 366 |
|
|
c passer par Theta_e et virpot) |
| 367 |
|
|
c zthvu=t(i,1)/s(i,1)*(1.+RETV*q(i,1)) |
| 368 |
|
|
cAM zthvu = Th_th(i)*(1.+RETV*q(i,1)) |
| 369 |
|
|
zthvu = Th_th(i)*(1.+RETV*qT_th(i)) |
| 370 |
|
|
c Le Ri par Theta_v |
| 371 |
|
|
cAM rhino(i,k) = (z(i,k)-z(i,1))*RG*(zthvd-zthvu) |
| 372 |
|
|
cAM . /(zdu2*0.5*(zthvd+zthvu)) |
| 373 |
|
|
cAM On a nveau de ref a 2m ??? |
| 374 |
|
|
rhino(i,k) = (z(i,k)-zref)*RG*(zthvd-zthvu) |
| 375 |
|
|
. /(zdu2*0.5*(zthvd+zthvu)) |
| 376 |
|
|
c |
| 377 |
|
|
IF (rhino(i,k).GE.ricr) THEN |
| 378 |
|
|
pblh(i) = z(i,k-1) + (z(i,k-1)-z(i,k)) * |
| 379 |
|
|
. (ricr-rhino(i,k-1))/(rhino(i,k-1)-rhino(i,k)) |
| 380 |
|
|
c test04 |
| 381 |
|
|
pblh(i) = pblh(i) + 100. |
| 382 |
|
|
pblT(i) = t(i,k-1) + (t(i,k)-t(i,k-1)) * |
| 383 |
|
|
. (pblh(i)-z(i,k-1))/(z(i,k)-z(i,k-1)) |
| 384 |
|
|
check(i) = .FALSE. |
| 385 |
|
|
ENDIF |
| 386 |
|
|
ENDIF |
| 387 |
|
|
ENDDO |
| 388 |
|
|
ENDDO |
| 389 |
|
|
|
| 390 |
|
|
C |
| 391 |
|
|
C Set pbl height to maximum value where computation exceeds number of |
| 392 |
|
|
C layers allowed |
| 393 |
|
|
C |
| 394 |
|
|
DO i = 1, knon |
| 395 |
|
|
if (check(i)) pblh(i) = z(i,isommet) |
| 396 |
|
|
ENDDO |
| 397 |
|
|
C |
| 398 |
|
|
C Improve estimate of pbl height for the unstable points. |
| 399 |
|
|
C Find unstable points (sensible heat flux is upward): |
| 400 |
|
|
C |
| 401 |
|
|
DO i = 1, knon |
| 402 |
|
|
IF (heatv(i) .GT. 0.) THEN |
| 403 |
|
|
unstbl(i) = .TRUE. |
| 404 |
|
|
check(i) = .TRUE. |
| 405 |
|
|
ELSE |
| 406 |
|
|
unstbl(i) = .FALSE. |
| 407 |
|
|
check(i) = .FALSE. |
| 408 |
|
|
ENDIF |
| 409 |
|
|
ENDDO |
| 410 |
|
|
C |
| 411 |
|
|
C For the unstable case, compute velocity scale and the |
| 412 |
|
|
C convective temperature excess: |
| 413 |
|
|
C |
| 414 |
|
|
DO i = 1, knon |
| 415 |
|
|
IF (check(i)) THEN |
| 416 |
|
|
phiminv(i) = (1.-binm*pblh(i)/obklen(i))**onet |
| 417 |
|
|
c *************************************************** |
| 418 |
|
|
c Wm ? et W* ? c'est la formule pour z/h < .1 |
| 419 |
|
|
c ;Calcul de w* ;; |
| 420 |
|
|
c ;;;;;;;;;;;;;;;; |
| 421 |
|
|
c w_star=((g/tcls)*fcsv*z(ind))^(1/3.) [ou prendre la premiere approx de h) |
| 422 |
|
|
c ;; CALCUL DE wm ;; |
| 423 |
|
|
c ;;;;;;;;;;;;;;;;;; |
| 424 |
|
|
c ; Ici on considerera que l'on est dans la couche de surf jusqu'a 100m |
| 425 |
|
|
c ; On prend svt couche de surface=0.1*h mais on ne connait pas h |
| 426 |
|
|
c ;;;;;;;;;;;Dans la couche de surface |
| 427 |
|
|
c if (z(ind) le 20) then begin |
| 428 |
|
|
c Phim=(1.-15.*(z(ind)/L))^(-1/3.) |
| 429 |
|
|
c wm=u_star/Phim |
| 430 |
|
|
c ;;;;;;;;;;;En dehors de la couche de surface |
| 431 |
|
|
c endif else if (z(ind) gt 20) then begin |
| 432 |
|
|
c wm=(u_star^3+c1*w_star^3)^(1/3.) |
| 433 |
|
|
c endif |
| 434 |
|
|
c *************************************************** |
| 435 |
|
|
wm(i)= ustar(i)*phiminv(i) |
| 436 |
|
|
c====================================================================== |
| 437 |
|
|
cvaleurs de Dominique Lambert de la campagne SEMAPHORE : |
| 438 |
|
|
c <T'^2> = 100.T*^2; <q'^2> = 20.q*^2 a 10m |
| 439 |
|
|
c <Tv'^2> = (1+1.2q).100.T* + 1.2Tv.sqrt(20*100).T*.q* + (.608*Tv)^2*20.q*^2; |
| 440 |
|
|
c et dTetavS = sqrt(<Tv'^2>) ainsi calculee. |
| 441 |
|
|
c avec : T*=<w'T'>_s/w* et q*=<w'q'>/w* |
| 442 |
|
|
c !!! on peut donc utiliser w* pour les fluctuations <-> Lambert |
| 443 |
|
|
c(leur corellation pourrait dependre de beta par ex) |
| 444 |
|
|
c if fcsv(i,j) gt 0 then begin |
| 445 |
|
|
c dTetavs=b1*(1.+2.*.608*q_10(i,j))*(fcs(i,j)/wm(i,j))^2+$ |
| 446 |
|
|
c (.608*Thetav_10(i,j))^2*b2*(xle(i,j)/wm(i,j))^2+$ |
| 447 |
|
|
c 2.*.608*thetav_10(i,j)*sqrt(b1*b2)*(xle(i,j)/wm(i,j))*(fcs(i,j)/wm(i,j)) |
| 448 |
|
|
c dqs=b2*(xle(i,j)/wm(i,j))^2 |
| 449 |
|
|
c theta_s(i,j)=thetav_10(i,j)+sqrt(dTetavs) |
| 450 |
|
|
c q_s(i,j)=q_10(i,j)+sqrt(dqs) |
| 451 |
|
|
c endif else begin |
| 452 |
|
|
c Theta_s(i,j)=thetav_10(i,j) |
| 453 |
|
|
c q_s(i,j)=q_10(i,j) |
| 454 |
|
|
c endelse |
| 455 |
|
|
c====================================================================== |
| 456 |
|
|
c |
| 457 |
|
|
cHBTM therm(i) = heatv(i)*fak/wm(i) |
| 458 |
|
|
c forme Mathieu : |
| 459 |
|
|
q_star = kqfs(i)/wm(i) |
| 460 |
|
|
t_star = khfs(i)/wm(i) |
| 461 |
|
|
cIM 091204 BEG |
| 462 |
|
|
IF(1.EQ.0) THEN |
| 463 |
|
|
IF(t_star.LT.0..OR.q_star.LT.0.) THEN |
| 464 |
|
|
print*,'i t_star q_star khfs kqfs wm',i,t_star,q_star, |
| 465 |
|
|
$ khfs(i),kqfs(i),wm(i) |
| 466 |
|
|
ENDIF |
| 467 |
|
|
ENDIF |
| 468 |
|
|
cIM 091204 END |
| 469 |
|
|
cAM Nveau cde ref 2m => |
| 470 |
|
|
cAM therm(i) = sqrt( b1*(1.+2.*RETV*q(i,1))*t_star**2 |
| 471 |
|
|
cAM + + (RETV*T(i,1))**2*b2*q_star**2 |
| 472 |
|
|
cAM + + 2.*RETV*T(i,1)*b212*q_star*t_star |
| 473 |
|
|
cAM + ) |
| 474 |
|
|
cIM 091204 BEG |
| 475 |
|
|
a1=b1*(1.+2.*RETV*qT_th(i))*t_star**2 |
| 476 |
|
|
a2=(RETV*Th_th(i))**2*b2*q_star**2 |
| 477 |
|
|
a3=2.*RETV*Th_th(i)*b212*q_star*t_star |
| 478 |
|
|
aa=a1+a2+a3 |
| 479 |
|
|
IF(1.EQ.0) THEN |
| 480 |
|
|
IF (aa.LT.0.) THEN |
| 481 |
|
|
print*,'i a1 a2 a3 aa',i,a1,a2,a3,aa |
| 482 |
|
|
print*,'i qT_th Th_th t_star q_star RETV b1 b2 b212', |
| 483 |
|
|
$ i,qT_th(i),Th_th(i),t_star,q_star,RETV,b1,b2,b212 |
| 484 |
|
|
ENDIF |
| 485 |
|
|
ENDIF |
| 486 |
|
|
cIM 091204 END |
| 487 |
|
|
therm(i) = sqrt( b1*(1.+2.*RETV*qT_th(i))*t_star**2 |
| 488 |
|
|
+ + (RETV*Th_th(i))**2*b2*q_star**2 |
| 489 |
|
|
cIM 101204 + + 2.*RETV*Th_th(i)*b212*q_star*t_star |
| 490 |
|
|
+ + max(0.,2.*RETV*Th_th(i)*b212*q_star*t_star) |
| 491 |
|
|
+ ) |
| 492 |
|
|
c |
| 493 |
|
|
c Theta et qT du thermique (forme H&B) avec exces |
| 494 |
|
|
c (attention, on ajoute therm(i) qui est virtuelle ...) |
| 495 |
|
|
c pourquoi pas sqrt(b1)*t_star ? |
| 496 |
|
|
c dqs = b2sr*kqfs(i)/wm(i) |
| 497 |
|
|
qT_th(i) = qT_th(i) + b2sr*q_star |
| 498 |
|
|
cnew on differre le calcul de Theta_e |
| 499 |
|
|
c The_th(i) = The_th(i) + therm(i) + RLvCp*qT_th(i) |
| 500 |
|
|
c ou: The_th(i) = The_th(i) + sqrt(b1)*khfs(i)/wm(i) + RLvCp*qT_th(i) |
| 501 |
|
|
rhino(i,1) = 0.0 |
| 502 |
|
|
ENDIF |
| 503 |
|
|
ENDDO |
| 504 |
|
|
C |
| 505 |
|
|
c +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 506 |
|
|
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 507 |
|
|
C ++ Improve pblh estimate for unstable conditions using the +++++++ |
| 508 |
|
|
C ++ convective temperature excess : +++++++ |
| 509 |
|
|
c ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 510 |
|
|
c +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| 511 |
|
|
C |
| 512 |
|
|
DO k = 2, isommet |
| 513 |
|
|
DO i = 1, knon |
| 514 |
|
|
IF (check(i)) THEN |
| 515 |
|
|
ctest zdu2 = (u(i,k)-u(i,1))**2+(v(i,k)-v(i,1))**2+fac*ustar(i)**2 |
| 516 |
|
|
zdu2 = u(i,k)**2+v(i,k)**2 |
| 517 |
|
|
zdu2 = max(zdu2,1.0e-20) |
| 518 |
|
|
c Theta_v environnement |
| 519 |
|
|
zthvd=t(i,k)/s(i,k)*(1.+RETV*q(i,k)) |
| 520 |
|
|
c |
| 521 |
|
|
c et therm Theta_v (avec hypothese de constance de H&B, |
| 522 |
|
|
c zthvu=(t(i,1)+therm(i))/s(i,1)*(1.+RETV*q(i,1)) |
| 523 |
|
|
zthvu = Th_th(i)*(1.+RETV*qT_th(i)) + therm(i) |
| 524 |
|
|
|
| 525 |
|
|
c |
| 526 |
|
|
c Le Ri par Theta_v |
| 527 |
|
|
cAM Niveau de ref 2m |
| 528 |
|
|
cAM rhino(i,k) = (z(i,k)-z(i,1))*RG*(zthvd-zthvu) |
| 529 |
|
|
cAM . /(zdu2*0.5*(zthvd+zthvu)) |
| 530 |
|
|
rhino(i,k) = (z(i,k)-zref)*RG*(zthvd-zthvu) |
| 531 |
|
|
. /(zdu2*0.5*(zthvd+zthvu)) |
| 532 |
|
|
c |
| 533 |
|
|
c |
| 534 |
|
|
IF (rhino(i,k).GE.ricr) THEN |
| 535 |
|
|
pblh(i) = z(i,k-1) + (z(i,k-1)-z(i,k)) * |
| 536 |
|
|
. (ricr-rhino(i,k-1))/(rhino(i,k-1)-rhino(i,k)) |
| 537 |
|
|
c test04 |
| 538 |
|
|
pblh(i) = pblh(i) + 100. |
| 539 |
|
|
pblT(i) = t(i,k-1) + (t(i,k)-t(i,k-1)) * |
| 540 |
|
|
. (pblh(i)-z(i,k-1))/(z(i,k)-z(i,k-1)) |
| 541 |
|
|
check(i) = .FALSE. |
| 542 |
|
|
cIM 170305 BEG |
| 543 |
|
|
IF(1.EQ.0) THEN |
| 544 |
|
|
c debug print -120;34 -34- 58 et 0;26 wamp |
| 545 |
|
|
if (i.eq.950.or.i.eq.192.or.i.eq.624.or.i.eq.118) then |
| 546 |
|
|
print*,' i,Th_th,Therm,qT :',i,Th_th(i),therm(i),qT_th(i) |
| 547 |
|
|
q_star = kqfs(i)/wm(i) |
| 548 |
|
|
t_star = khfs(i)/wm(i) |
| 549 |
|
|
print*,'q* t*, b1,b2,b212 ',q_star,t_star |
| 550 |
|
|
- , b1*(1.+2.*RETV*qT_th(i))*t_star**2 |
| 551 |
|
|
- , (RETV*Th_th(i))**2*b2*q_star**2 |
| 552 |
|
|
- , 2.*RETV*Th_th(i)*b212*q_star*t_star |
| 553 |
|
|
print*,'zdu2 ,100.*ustar(i)**2',zdu2 ,fac*ustar(i)**2 |
| 554 |
|
|
endif |
| 555 |
|
|
ENDIF !(1.EQ.0) THEN |
| 556 |
|
|
cIM 170305 END |
| 557 |
|
|
c q_star = kqfs(i)/wm(i) |
| 558 |
|
|
c t_star = khfs(i)/wm(i) |
| 559 |
|
|
c trmb1(i) = b1*(1.+2.*RETV*q(i,1))*t_star**2 |
| 560 |
|
|
c trmb2(i) = (RETV*T(i,1))**2*b2*q_star**2 |
| 561 |
|
|
c Omega now trmb3(i) = 2.*RETV*T(i,1)*b212*q_star*t_star |
| 562 |
|
|
ENDIF |
| 563 |
|
|
ENDIF |
| 564 |
|
|
ENDDO |
| 565 |
|
|
ENDDO |
| 566 |
|
|
C |
| 567 |
|
|
C Set pbl height to maximum value where computation exceeds number of |
| 568 |
|
|
C layers allowed |
| 569 |
|
|
C |
| 570 |
|
|
DO i = 1, knon |
| 571 |
|
|
if (check(i)) pblh(i) = z(i,isommet) |
| 572 |
|
|
ENDDO |
| 573 |
|
|
C |
| 574 |
|
|
C PBL height must be greater than some minimum mechanical mixing depth |
| 575 |
|
|
C Several investigators have proposed minimum mechanical mixing depth |
| 576 |
|
|
C relationships as a function of the local friction velocity, u*. We |
| 577 |
|
|
C make use of a linear relationship of the form h = c u* where c=700. |
| 578 |
|
|
C The scaling arguments that give rise to this relationship most often |
| 579 |
|
|
C represent the coefficient c as some constant over the local coriolis |
| 580 |
|
|
C parameter. Here we make use of the experimental results of Koracin |
| 581 |
|
|
C and Berkowicz (1988) [BLM, Vol 43] for wich they recommend 0.07/f |
| 582 |
|
|
C where f was evaluated at 39.5 N and 52 N. Thus we use a typical mid |
| 583 |
|
|
C latitude value for f so that c = 0.07/f = 700. |
| 584 |
|
|
C |
| 585 |
|
|
DO i = 1, knon |
| 586 |
|
|
pblmin = 700.0*ustar(i) |
| 587 |
|
|
pblh(i) = MAX(pblh(i),pblmin) |
| 588 |
|
|
c par exemple : |
| 589 |
|
|
pblT(i) = t(i,2) + (t(i,3)-t(i,2)) * |
| 590 |
|
|
. (pblh(i)-z(i,2))/(z(i,3)-z(i,2)) |
| 591 |
|
|
ENDDO |
| 592 |
|
|
|
| 593 |
|
|
C ******************************************************************** |
| 594 |
|
|
C pblh is now available; do preparation for diffusivity calculation : |
| 595 |
|
|
C ******************************************************************** |
| 596 |
|
|
DO i = 1, knon |
| 597 |
|
|
check(i) = .TRUE. |
| 598 |
|
|
Zsat(i) = .FALSE. |
| 599 |
|
|
c omegafl utilise pour prolongement CAPE |
| 600 |
|
|
omegafl(i) = .FALSE. |
| 601 |
|
|
Cape(i) = 0. |
| 602 |
|
|
Kape(i) = 0. |
| 603 |
|
|
EauLiq(i) = 0. |
| 604 |
|
|
CTEI(i) = 0. |
| 605 |
|
|
pblk(i) = 0.0 |
| 606 |
|
|
fak1(i) = ustar(i)*pblh(i)*vk |
| 607 |
|
|
C |
| 608 |
|
|
C Do additional preparation for unstable cases only, set temperature |
| 609 |
|
|
C and moisture perturbations depending on stability. |
| 610 |
|
|
C *** Rq: les formule sont prises dans leur forme CS *** |
| 611 |
|
|
IF (unstbl(i)) THEN |
| 612 |
|
|
cAM Niveau de ref du thermique |
| 613 |
|
|
cAM zxt=(t(i,1)-z(i,1)*0.5*RG/RCPD/(1.+RVTMP2*q(i,1))) |
| 614 |
|
|
cAM . *(1.+RETV*q(i,1)) |
| 615 |
|
|
zxt=(Th_th(i)-zref*0.5*RG/RCPD/(1.+RVTMP2*qT_th(i))) |
| 616 |
|
|
. *(1.+RETV*qT_th(i)) |
| 617 |
|
|
phiminv(i) = (1. - binm*pblh(i)/obklen(i))**onet |
| 618 |
|
|
phihinv(i) = sqrt(1. - binh*pblh(i)/obklen(i)) |
| 619 |
|
|
wm(i) = ustar(i)*phiminv(i) |
| 620 |
|
|
fak2(i) = wm(i)*pblh(i)*vk |
| 621 |
|
|
wstr(i) = (heatv(i)*RG*pblh(i)/zxt)**onet |
| 622 |
|
|
fak3(i) = fakn*wstr(i)/wm(i) |
| 623 |
|
|
ENDIF |
| 624 |
|
|
c Computes Theta_e for thermal (all cases : to be modified) |
| 625 |
|
|
c attention ajout therm(i) = virtuelle |
| 626 |
|
|
The_th(i) = Th_th(i) + therm(i) + RLvCp*qT_th(i) |
| 627 |
|
|
c ou: The_th(i) = Th_th(i) + sqrt(b1)*khfs(i)/wm(i) + RLvCp*qT_th(i) |
| 628 |
|
|
ENDDO |
| 629 |
|
|
|
| 630 |
|
|
C Main level loop to compute the diffusivities and |
| 631 |
|
|
C counter-gradient terms: |
| 632 |
|
|
C |
| 633 |
|
|
DO 1000 k = 2, isommet |
| 634 |
|
|
C |
| 635 |
|
|
C Find levels within boundary layer: |
| 636 |
|
|
C |
| 637 |
|
|
DO i = 1, knon |
| 638 |
|
|
unslev(i) = .FALSE. |
| 639 |
|
|
stblev(i) = .FALSE. |
| 640 |
|
|
zm(i) = z(i,k-1) |
| 641 |
|
|
zp(i) = z(i,k) |
| 642 |
|
|
IF (zkmin.EQ.0.0 .AND. zp(i).GT.pblh(i)) zp(i) = pblh(i) |
| 643 |
|
|
IF (zm(i) .LT. pblh(i)) THEN |
| 644 |
|
|
zmzp = 0.5*(zm(i) + zp(i)) |
| 645 |
|
|
C debug |
| 646 |
|
|
c if (i.EQ.1864) then |
| 647 |
|
|
c print*,'i,pblh(1864),obklen(1864)',i,pblh(i),obklen(i) |
| 648 |
|
|
c endif |
| 649 |
|
|
|
| 650 |
|
|
zh(i) = zmzp/pblh(i) |
| 651 |
|
|
zl(i) = zmzp/obklen(i) |
| 652 |
|
|
zzh(i) = 0. |
| 653 |
|
|
IF (zh(i).LE.1.0) zzh(i) = (1. - zh(i))**2 |
| 654 |
|
|
C |
| 655 |
|
|
C stblev for points zm < plbh and stable and neutral |
| 656 |
|
|
C unslev for points zm < plbh and unstable |
| 657 |
|
|
C |
| 658 |
|
|
IF (unstbl(i)) THEN |
| 659 |
|
|
unslev(i) = .TRUE. |
| 660 |
|
|
ELSE |
| 661 |
|
|
stblev(i) = .TRUE. |
| 662 |
|
|
ENDIF |
| 663 |
|
|
ENDIF |
| 664 |
|
|
ENDDO |
| 665 |
|
|
c print*,'fin calcul niveaux' |
| 666 |
|
|
C |
| 667 |
|
|
C Stable and neutral points; set diffusivities; counter-gradient |
| 668 |
|
|
C terms zero for stable case: |
| 669 |
|
|
C |
| 670 |
|
|
DO i = 1, knon |
| 671 |
|
|
IF (stblev(i)) THEN |
| 672 |
|
|
IF (zl(i).LE.1.) THEN |
| 673 |
|
|
pblk(i) = fak1(i)*zh(i)*zzh(i)/(1. + betas*zl(i)) |
| 674 |
|
|
ELSE |
| 675 |
|
|
pblk(i) = fak1(i)*zh(i)*zzh(i)/(betas + zl(i)) |
| 676 |
|
|
ENDIF |
| 677 |
|
|
c pcfm(i,k) = pblk(i) |
| 678 |
|
|
c pcfh(i,k) = pcfm(i,k) |
| 679 |
|
|
ENDIF |
| 680 |
|
|
ENDDO |
| 681 |
|
|
C |
| 682 |
|
|
C unssrf, unstable within surface layer of pbl |
| 683 |
|
|
C unsout, unstable within outer layer of pbl |
| 684 |
|
|
C |
| 685 |
|
|
DO i = 1, knon |
| 686 |
|
|
unssrf(i) = .FALSE. |
| 687 |
|
|
unsout(i) = .FALSE. |
| 688 |
|
|
IF (unslev(i)) THEN |
| 689 |
|
|
IF (zh(i).lt.sffrac) THEN |
| 690 |
|
|
unssrf(i) = .TRUE. |
| 691 |
|
|
ELSE |
| 692 |
|
|
unsout(i) = .TRUE. |
| 693 |
|
|
ENDIF |
| 694 |
|
|
ENDIF |
| 695 |
|
|
ENDDO |
| 696 |
|
|
C |
| 697 |
|
|
C Unstable for surface layer; counter-gradient terms zero |
| 698 |
|
|
C |
| 699 |
|
|
DO i = 1, knon |
| 700 |
|
|
IF (unssrf(i)) THEN |
| 701 |
|
|
term = (1. - betam*zl(i))**onet |
| 702 |
|
|
pblk(i) = fak1(i)*zh(i)*zzh(i)*term |
| 703 |
|
|
pr(i) = term/sqrt(1. - betah*zl(i)) |
| 704 |
|
|
ENDIF |
| 705 |
|
|
ENDDO |
| 706 |
|
|
c print*,'fin counter-gradient terms zero' |
| 707 |
|
|
C |
| 708 |
|
|
C Unstable for outer layer; counter-gradient terms non-zero: |
| 709 |
|
|
C |
| 710 |
|
|
DO i = 1, knon |
| 711 |
|
|
IF (unsout(i)) THEN |
| 712 |
|
|
pblk(i) = fak2(i)*zh(i)*zzh(i) |
| 713 |
|
|
c cgs(i,k) = fak3(i)/(pblh(i)*wm(i)) |
| 714 |
|
|
c cgh(i,k) = khfs(i)*cgs(i,k) |
| 715 |
|
|
pr(i) = phiminv(i)/phihinv(i) + ccon*fak3(i)/fak |
| 716 |
|
|
c cgq(i,k) = kqfs(i)*cgs(i,k) |
| 717 |
|
|
ENDIF |
| 718 |
|
|
ENDDO |
| 719 |
|
|
c print*,'fin counter-gradient terms non zero' |
| 720 |
|
|
C |
| 721 |
|
|
C For all unstable layers, compute diffusivities and ctrgrad ter m |
| 722 |
|
|
C |
| 723 |
|
|
c DO i = 1, knon |
| 724 |
|
|
c IF (unslev(i)) THEN |
| 725 |
|
|
c pcfm(i,k) = pblk(i) |
| 726 |
|
|
c pcfh(i,k) = pblk(i)/pr(i) |
| 727 |
|
|
c etc cf original |
| 728 |
|
|
c ENDIF |
| 729 |
|
|
c ENDDO |
| 730 |
|
|
C |
| 731 |
|
|
C For all layers, compute integral info and CTEI |
| 732 |
|
|
C |
| 733 |
|
|
DO i = 1, knon |
| 734 |
|
|
if (check(i).or.omegafl(i)) then |
| 735 |
|
|
if (.not.Zsat(i)) then |
| 736 |
|
|
c Th2 = The_th(i) - RLvCp*qT_th(i) |
| 737 |
|
|
Th2 = Th_th(i) |
| 738 |
|
|
T2 = Th2*s(i,k) |
| 739 |
|
|
c thermodyn functions |
| 740 |
|
|
zdelta=MAX(0.,SIGN(1.,RTT-T2)) |
| 741 |
|
|
qqsat= r2es * FOEEW(T2,zdelta)/pplay(i,k) |
| 742 |
|
|
qqsat=MIN(0.5,qqsat) |
| 743 |
|
|
zcor=1./(1.-retv*qqsat) |
| 744 |
|
|
qqsat=qqsat*zcor |
| 745 |
|
|
c |
| 746 |
|
|
if (qqsat.lt.qT_th(i)) then |
| 747 |
|
|
c on calcule lcl |
| 748 |
|
|
if (k.eq.2) then |
| 749 |
|
|
plcl(i) = z(i,k) |
| 750 |
|
|
else |
| 751 |
|
|
plcl(i) = z(i,k-1) + (z(i,k-1)-z(i,k)) * |
| 752 |
|
|
. (qT_th(i)-qsatbef(i))/(qsatbef(i)-qqsat) |
| 753 |
|
|
endif |
| 754 |
|
|
Zsat(i) = .true. |
| 755 |
|
|
Tbef(i) = T2 |
| 756 |
|
|
endif |
| 757 |
|
|
c |
| 758 |
|
|
endif |
| 759 |
|
|
qsatbef(i) = qqsat |
| 760 |
|
|
camn ???? cette ligne a deja ete faite normalement ? |
| 761 |
|
|
endif |
| 762 |
|
|
c print*,'hbtm2 i,k=',i,k |
| 763 |
|
|
ENDDO |
| 764 |
|
|
1000 continue ! end of level loop |
| 765 |
|
|
cIM 170305 BEG |
| 766 |
|
|
IF(1.EQ.0) THEN |
| 767 |
|
|
print*,'hbtm2 ok' |
| 768 |
|
|
ENDIF !(1.EQ.0) THEN |
| 769 |
|
|
cIM 170305 END |
| 770 |
|
|
RETURN |
| 771 |
|
|
END |
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