| 1 | |
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| 2 | ! $Header$ |
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| 3 | |
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| 4 | SUBROUTINE hbtm2l(knon, paprs, pplay, t2m, t10m, q2m, q10m, ustar, flux_t, flux_q, u, v, t, q, pblh, therm, plcl, cape, & |
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| 5 | cin, eauliq, ctei, d_qt, d_thv, dlt_2, xhis, posint, omega, diagok) |
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| 6 | USE dimphy |
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| 7 | IMPLICIT NONE |
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| 8 | |
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| 9 | ! *************************************************************** |
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| 10 | ! * * |
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| 11 | ! * HBTM2L D'apres Holstag&Boville et Troen&Mahrt * |
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| 12 | ! * JAS 47 BLM * |
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| 13 | ! * Algorithmes These Anne Mathieu * |
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| 14 | ! * Critere d'Entrainement Peter Duynkerke (JAS 50) * |
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| 15 | ! * written by : Anne MATHIEU & Alain LAHELLEC, 22/11/99 * |
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| 16 | ! * features : implem. exces Mathieu * |
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| 17 | ! *************************************************************** |
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| 18 | ! * mods : decembre 99 passage th a niveau plus bas. voir fixer * |
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| 19 | ! *************************************************************** |
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| 20 | ! * fin therm a la HBTM passage a forme Mathieu 12/09/2001 * |
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| 21 | ! *************************************************************** |
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| 22 | ! AM Fev 2003 Adaptation a LMDZ version couplee * |
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| 23 | ! * |
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| 24 | ! Pour le moment on fait passer en argument les grdeurs de surface : |
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| 25 | ! flux, t,q2m, t,q10m, on va utiliser systematiquement les grdeurs a 2m ms |
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| 26 | ! on garde la possibilite de changer si besoin est (jusqu'a present la |
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| 27 | ! forme de HB avec le 1er niveau modele etait conservee) * |
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| 28 | ! *************************************************************** |
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| 29 | ! * re-ecriture complete Alain Mars 2012 dans LMDZ5V5 * |
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| 30 | ! *************************************************************** |
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| 31 | ! ym#include "dimensions.h" |
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| 32 | ! ym#include "dimphy.h" |
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| 33 | include "YOMCST.h" |
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| 34 | REAL rlvcp, reps |
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| 35 | ! Arguments: |
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| 36 | |
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| 37 | INTEGER knon ! nombre de points a calculer |
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| 38 | ! AM |
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| 39 | REAL t2m(klon), t10m(klon) ! temperature a 2 et 10m |
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| 40 | REAL q2m(klon), q10m(klon) ! q a 2 et 10m |
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| 41 | REAL ustar(klon) |
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| 42 | REAL paprs(klon, klev+1) ! pression a inter-couche (Pa) |
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| 43 | REAL pplay(klon, klev) ! pression au milieu de couche (Pa) |
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| 44 | REAL flux_t(klon, klev), flux_q(klon, klev) ! Flux |
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| 45 | REAL u(klon, klev) ! vitesse U (m/s) |
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| 46 | REAL v(klon, klev) ! vitesse V (m/s) |
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| 47 | REAL t(klon, klev) ! temperature (K) |
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| 48 | REAL q(klon, klev) ! vapeur d'eau (kg/kg) |
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| 49 | |
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| 50 | INTEGER isommet |
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| 51 | REAL vk |
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| 52 | PARAMETER (vk=0.35) ! Von Karman => passer a .41 ! cf U.Olgstrom |
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| 53 | REAL ricr |
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| 54 | PARAMETER (ricr=0.4) |
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| 55 | REAL fak |
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| 56 | PARAMETER (fak=8.5) ! b calcul du Prandtl et de dTetas |
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| 57 | REAL fakn |
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| 58 | PARAMETER (fakn=7.2) ! a |
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| 59 | REAL onet |
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| 60 | PARAMETER (onet=1.0/3.0) |
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| 61 | REAL betam |
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| 62 | PARAMETER (betam=15.0) ! pour Phim / h dans la S.L stable |
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| 63 | REAL betah |
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| 64 | PARAMETER (betah=15.0) |
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| 65 | REAL betas |
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| 66 | PARAMETER (betas=5.0) ! Phit dans la S.L. stable (mais 2 formes / z/OBL<>1 |
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| 67 | REAL sffrac |
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| 68 | PARAMETER (sffrac=0.1) ! S.L. = z/h < .1 |
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| 69 | REAL binm |
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| 70 | PARAMETER (binm=betam*sffrac) |
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| 71 | REAL binh |
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| 72 | PARAMETER (binh=betah*sffrac) |
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| 73 | |
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| 74 | REAL q_star, t_star |
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| 75 | REAL b1, b2, b212, b2sr ! Lambert correlations T' q' avec T* q* |
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| 76 | PARAMETER (b1=70., b2=20.) ! b1 entre 70 et 100 |
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| 77 | |
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| 78 | REAL z(klon, klev) |
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| 79 | ! AM |
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| 80 | REAL zref, dt0 |
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| 81 | PARAMETER (zref=2.) ! Niveau de ref a 2m |
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| 82 | PARAMETER (dt0=0.1) ! convergence do while |
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| 83 | |
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| 84 | INTEGER i, k, j |
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| 85 | REAL khfs(klon) ! surface kinematic heat flux [mK/s] |
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| 86 | REAL kqfs(klon) ! sfc kinematic constituent flux [m/s] |
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| 87 | REAL heatv(klon) ! surface virtual heat flux |
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| 88 | REAL rhino(klon, klev) ! bulk Richardon no. mais en Theta_v |
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| 89 | LOGICAL unstbl(klon) ! pts w/unstbl pbl (positive virtual ht flx) |
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| 90 | LOGICAL check(klon) ! True=>chk if Richardson no.>critcal |
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| 91 | LOGICAL omegafl(klon) ! flag de prolongement cape pour pt Omega |
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| 92 | REAL obklen(klon) ! Monin-Obukhov lengh |
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| 93 | |
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| 94 | REAL pblh(klon) ! PBL H (m) |
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| 95 | REAL therm(klon) ! exces du thermique (K) |
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| 96 | REAL plcl(klon) ! Lifted Cnd Level (Pa) |
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| 97 | REAL cape(klon) ! Cape |
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| 98 | REAL cin(klon) ! Inhibition |
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| 99 | REAL eauliq(klon) ! Eau Liqu integree |
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| 100 | REAL ctei(klon) ! Cld Top Entr. Instab. |
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| 101 | REAL d_qt(klon) ! Saut de qT a l'inversion |
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| 102 | REAL d_thv(klon) ! Theta_e |
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| 103 | REAL dlt_2(klon) ! Ordonnee a gauche de courbe de melange |
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| 104 | REAL xhis(klon) ! fraction de melange pour flottab nulle |
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| 105 | REAL posint(klon) ! partie positive de l'int. de Peter |
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| 106 | REAL omega(klon) ! point ultime de l'ascention du thermique |
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| 107 | REAL diagok(klon) ! pour traiter les sous-mailles sans info |
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| 108 | ! Algorithme thermique |
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| 109 | REAL s(klon, klev) ! [P/Po]^Kappa milieux couches |
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| 110 | REAL th_th(klon) ! potential temperature of thermal |
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| 111 | REAL the_th(klon) ! equivalent potential temperature of thermal |
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| 112 | REAL qt_th(klon) ! total water of thermal |
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| 113 | REAL tbef(klon) ! T thermique niveau ou calcul precedent |
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| 114 | LOGICAL zsat(klon) ! le thermique est sature |
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| 115 | LOGICAL zcin(klon) ! calcul d'inhibition |
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| 116 | REAL kape(klon) ! Cape locale |
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| 117 | REAL kin(klon) ! Cin locale |
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| 118 | ! calcul de CTEI etc |
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| 119 | REAL the1, the2, aa, bb, zthvd, zthvu, qsat, chi, rh, zxt, zdu2 |
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| 120 | REAL rnum, denom, th1, th2, tv1, tv2, thv1, thv2, ql1, ql2, dt |
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| 121 | REAL dqsat_dt, qsat2, qt1, q1, q2, t1, t2, tl1, te2, xnull, delt_the |
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| 122 | REAL delt_qt, quadsat, spblh, reduc |
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| 123 | ! diag REAL dTv21(klon,klev) |
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| 124 | |
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| 125 | REAL phiminv(klon) ! inverse phi function for momentum |
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| 126 | REAL phihinv(klon) ! inverse phi function for heat |
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| 127 | REAL wm(klon) ! turbulent velocity scale for momentum |
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| 128 | REAL zm(klon) ! current level height |
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| 129 | REAL zp(klon) ! current level height + one level up |
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| 130 | REAL zcor, zdelta, zcvm5 |
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| 131 | REAL fac, pblmin |
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| 132 | REAL missing_val |
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| 133 | |
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| 134 | include "YOETHF.h" |
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| 135 | include "FCTTRE.h" |
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| 136 | |
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| 137 | ! c missing_val=nf90_fill_real (avec include netcdf) |
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| 138 | missing_val = 0. |
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| 139 | |
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| 140 | ! initialisations (Anne) |
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| 141 | isommet = klev |
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| 142 | b212 = sqrt(b1*b2) |
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| 143 | b2sr = sqrt(b2) |
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| 144 | |
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| 145 | ! Initialisation thermo |
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| 146 | rlvcp = rlvtt/rcpd |
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| 147 | reps = rd/rv |
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| 148 | ! raz |
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| 149 | q_star = 0. |
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| 150 | t_star = 0. |
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| 151 | cape(:) = missing_val |
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| 152 | kape(:) = 0. |
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| 153 | cin(:) = missing_val |
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| 154 | eauliq(:) = missing_val |
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| 155 | ctei(:) = missing_val |
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| 156 | d_qt(:) = missing_val |
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| 157 | d_thv(:) = missing_val |
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| 158 | dlt_2(:) = missing_val |
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| 159 | xhis(:) = missing_val |
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| 160 | posint(:) = missing_val |
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| 161 | kin(:) = missing_val |
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| 162 | omega(:) = missing_val |
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| 163 | diagok(:) = 0. |
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| 164 | ! diag dTv21(:,:)= missing_val |
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| 165 | |
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| 166 | ! Calculer les hauteurs de chaque couche |
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| 167 | DO i = 1, knon |
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| 168 | z(i, 1) = rd*t(i, 1)/(0.5*(paprs(i,1)+pplay(i,1)))*(paprs(i,1)-pplay(i,1))/rg |
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| 169 | s(i, 1) = (pplay(i,1)/paprs(i,1))**rkappa |
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| 170 | END DO |
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| 171 | ! s(k) = [pplay(k)/ps]^kappa |
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| 172 | ! + + + + + + + + + pplay <-> s(k) t dp=pplay(k-1)-pplay(k) |
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| 173 | |
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| 174 | ! ----------------- paprs <-> sig(k) |
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| 175 | |
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| 176 | ! + + + + + + + + + pplay <-> s(k-1) |
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| 177 | |
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| 178 | |
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| 179 | ! + + + + + + + + + pplay <-> s(1) t dp=paprs-pplay z(1) |
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| 180 | |
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| 181 | ! ----------------- paprs <-> sig(1) |
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| 182 | |
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| 183 | DO k = 2, klev |
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| 184 | DO i = 1, knon |
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| 185 | z(i, k) = z(i, k-1) + rd*0.5*(t(i,k-1)+t(i,k))/paprs(i, k)*(pplay(i,k-1)-pplay(i,k))/rg |
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| 186 | s(i, k) = (pplay(i,k)/paprs(i,1))**rkappa |
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| 187 | END DO |
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| 188 | END DO |
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| 189 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 190 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 191 | ! +++ Determination des grandeurs de surface +++++++++++++++++++++ |
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| 192 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 193 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 194 | DO i = 1, knon |
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| 195 | ! AM Niveau de ref choisi a 2m |
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| 196 | zxt = t2m(i) |
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| 197 | |
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| 198 | ! *************************************************** |
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| 199 | ! attention, il doit s'agir de <w'theta'> |
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| 200 | ! ;Calcul de tcls virtuel et de w'theta'virtuel |
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| 201 | ! ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
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| 202 | ! tcls=tcls*(1+.608*qcls) |
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| 203 | |
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| 204 | ! ;Pour avoir w'theta', |
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| 205 | ! ; il faut diviser par ro.Cp |
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| 206 | ! Cp=Cpd*(1+0.84*qcls) |
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| 207 | ! fcs=fcs/(ro_surf*Cp) |
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| 208 | ! ;On transforme w'theta' en w'thetav' |
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| 209 | ! Lv=(2.501-0.00237*(tcls-273.15))*1.E6 |
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| 210 | ! xle=xle/(ro_surf*Lv) |
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| 211 | ! fcsv=fcs+.608*xle*tcls |
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| 212 | ! *************************************************** |
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| 213 | ! dif khfs est deja w't'_v / heatv(i) = khfs(i) + RETV*zxt*kqfs(i) |
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| 214 | ! AM calcul de Ro = paprs(i,1)/Rd zxt |
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| 215 | ! AM convention >0 vers le bas ds lmdz |
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| 216 | khfs(i) = -flux_t(i, 1)*zxt*rd/(rcpd*paprs(i,1)) |
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| 217 | kqfs(i) = -flux_q(i, 1)*zxt*rd/(paprs(i,1)) |
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| 218 | ! AM verifier que khfs et kqfs sont bien de la forme w'l' |
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| 219 | heatv(i) = khfs(i) + retv*zxt*kqfs(i) |
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| 220 | ! a comparer aussi aux sorties de clqh : flux_T/RoCp et flux_q/RoLv |
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| 221 | ! AM ustar est en entree (calcul dans stdlevvar avec t2m q2m) |
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| 222 | ! Theta et qT du thermique sans exces |
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| 223 | qt_th(i) = q2m(i) |
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| 224 | ! Al1 Th_th restera la Theta du thermique sans exces jusqu'au 3eme calcul |
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| 225 | th_th(i) = t2m(i) |
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| 226 | END DO |
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| 227 | |
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| 228 | DO i = 1, knon |
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| 229 | rhino(i, 1) = 0.0 ! Global Richardson |
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| 230 | check(i) = .TRUE. |
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| 231 | pblh(i) = z(i, 1) ! on initialise pblh a l'altitude du 1er niveau |
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| 232 | ! Attention Plcl est pression ou altitude ? |
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| 233 | ! plcl(i) = 6000. ! m |
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| 234 | plcl(i) = 200. ! hPa |
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| 235 | IF (heatv(i)>0.0001) THEN |
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| 236 | ! Lambda = -u*^3 / (alpha.g.kvon.<w'Theta'v> |
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| 237 | obklen(i) = -t(i, 1)*ustar(i)**3/(rg*vk*heatv(i)) |
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| 238 | ELSE |
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| 239 | ! set pblh to the friction high (cf + bas) |
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| 240 | pblh(i) = 700.0*ustar(i) |
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| 241 | check(i) = .FALSE. |
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| 242 | END IF |
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| 243 | END DO |
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| 244 | |
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| 245 | |
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| 246 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 247 | ! PBL height calculation: |
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| 248 | ! Search for level of pbl. Scan upward until the Richardson number between |
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| 249 | ! the first level and the current level exceeds the "critical" value. |
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| 250 | ! (bonne idee Nu de separer le Ric et l'exces de temp du thermique) |
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| 251 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 252 | fac = 100.0 |
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| 253 | DO k = 2, isommet |
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| 254 | DO i = 1, knon |
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| 255 | IF (check(i)) THEN |
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| 256 | zdu2 = u(i, k)**2 + v(i, k)**2 |
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| 257 | zdu2 = max(zdu2, 1.0E-20) |
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| 258 | ! Theta_v environnement |
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| 259 | zthvd = t(i, k)/s(i, k)*(1.+retv*q(i,k)) |
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| 260 | zthvu = th_th(i)*(1.+retv*qt_th(i)) |
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| 261 | ! Le Ri bulk par Theta_v |
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| 262 | rhino(i, k) = (z(i,k)-zref)*rg*(zthvd-zthvu)/(zdu2*0.5*(zthvd+zthvu)) |
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| 263 | |
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| 264 | IF (rhino(i,k)>=ricr) THEN |
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| 265 | pblh(i) = z(i, k-1) + (z(i,k-1)-z(i,k))*(ricr-rhino(i,k-1))/(rhino(i,k-1)-rhino(i,k)) |
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| 266 | ! test04 (la pblh est encore ici sous-estime'e) |
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| 267 | pblh(i) = pblh(i) + 100. |
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| 268 | ! pblT(i) = t(i,k-1) + (t(i,k)-t(i,k-1)) * |
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| 269 | ! . (pblh(i)-z(i,k-1))/(z(i,k)-z(i,k-1)) |
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| 270 | check(i) = .FALSE. |
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| 271 | END IF |
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| 272 | END IF |
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| 273 | END DO |
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| 274 | END DO |
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| 275 | |
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| 276 | |
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| 277 | ! Set pbl height to maximum value where computation exceeds number of |
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| 278 | ! layers allowed |
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| 279 | |
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| 280 | DO i = 1, knon |
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| 281 | IF (check(i)) pblh(i) = z(i, isommet) |
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| 282 | END DO |
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| 283 | |
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| 284 | ! Improve estimate of pbl height for the unstable points. |
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| 285 | ! Find unstable points (sensible heat flux is upward): |
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| 286 | |
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| 287 | DO i = 1, knon |
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| 288 | IF (heatv(i)>0.) THEN |
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| 289 | unstbl(i) = .TRUE. |
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| 290 | check(i) = .TRUE. |
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| 291 | ELSE |
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| 292 | unstbl(i) = .FALSE. |
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| 293 | check(i) = .FALSE. |
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| 294 | END IF |
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| 295 | END DO |
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| 296 | |
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| 297 | ! For the unstable case, compute velocity scale and the |
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| 298 | ! convective temperature excess: |
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| 299 | |
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| 300 | DO i = 1, knon |
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| 301 | IF (check(i)) THEN |
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| 302 | phiminv(i) = (1.-binm*pblh(i)/obklen(i))**onet |
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| 303 | ! *************************************************** |
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| 304 | ! Wm ? et W* ? c'est la formule pour z/h < .1 |
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| 305 | ! ;Calcul de w* ;; |
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| 306 | ! ;;;;;;;;;;;;;;;; |
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| 307 | ! w_star=((g/tcls)*fcsv*z(ind))^(1/3.) [ou prendre la premiere approx de h) |
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| 308 | ! ;; CALCUL DE wm ;; |
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| 309 | ! ;;;;;;;;;;;;;;;;;; |
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| 310 | ! ; Ici on considerera que l'on est dans la couche de surf jusqu'a 100m |
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| 311 | ! ; On prend svt couche de surface=0.1*h mais on ne connait pas h |
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| 312 | ! ;;;;;;;;;;;Dans la couche de surface |
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| 313 | ! if (z(ind) le 20) then begin |
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| 314 | ! Phim=(1.-15.*(z(ind)/L))^(-1/3.) |
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| 315 | ! wm=u_star/Phim |
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| 316 | ! ;;;;;;;;;;;En dehors de la couche de surface |
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| 317 | ! endif else if (z(ind) gt 20) then begin |
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| 318 | ! wm=(u_star^3+c1*w_star^3)^(1/3.) |
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| 319 | ! endif |
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| 320 | ! *************************************************** |
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| 321 | wm(i) = ustar(i)*phiminv(i) |
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| 322 | ! ====================================================================== |
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| 323 | ! valeurs de Dominique Lambert de la campagne SEMAPHORE : |
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| 324 | ! <T'^2> = 100.T*^2; <q'^2> = 20.q*^2 a 10m |
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| 325 | ! <Tv'^2> = (1+1.2q).100.T* + 1.2Tv.sqrt(20*100).T*.q* + (.608*Tv)^2*20.q*^2; |
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| 326 | ! et dTetavS = sqrt(<Tv'^2>) ainsi calculee. |
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| 327 | ! avec : T*=<w'T'>_s/w* et q*=<w'q'>/w* |
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| 328 | ! !!! on peut donc utiliser w* pour les fluctuations <-> Lambert |
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| 329 | ! (leur corellation pourrait dependre de beta par ex) |
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| 330 | ! if fcsv(i,j) gt 0 then begin |
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| 331 | ! dTetavs=b1*(1.+2.*.608*q_10(i,j))*(fcs(i,j)/wm(i,j))^2+$ |
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| 332 | ! (.608*Thetav_10(i,j))^2*b2*(xle(i,j)/wm(i,j))^2+$ |
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| 333 | ! 2.*.608*thetav_10(i,j)*sqrt(b1*b2)*(xle(i,j)/wm(i,j))*(fcs(i,j)/wm(i,j)) |
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| 334 | ! dqs=b2*(xle(i,j)/wm(i,j))^2 |
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| 335 | ! theta_s(i,j)=thetav_10(i,j)+sqrt(dTetavs) |
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| 336 | ! q_s(i,j)=q_10(i,j)+sqrt(dqs) |
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| 337 | ! endif else begin |
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| 338 | ! Theta_s(i,j)=thetav_10(i,j) |
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| 339 | ! q_s(i,j)=q_10(i,j) |
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| 340 | ! endelse |
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| 341 | ! leur reference est le niveau a 10m, mais on prend 2m ici. |
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| 342 | ! ====================================================================== |
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| 343 | ! Premier calcul de l'exces tu thermique |
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| 344 | ! ====================================================================== |
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| 345 | ! HBTM therm(i) = heatv(i)*fak/wm(i) |
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| 346 | ! forme Mathieu : |
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| 347 | q_star = max(0., kqfs(i)/wm(i)) |
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| 348 | t_star = max(0., khfs(i)/wm(i)) |
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| 349 | ! Al1 Houston, we have a problem : il arrive en effet que heatv soit |
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| 350 | ! positif (=thermique instable) mais pas t_star : avec evaporation |
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| 351 | ! importante, il se peut qu'on refroidisse la 2m Que faire alors ? |
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| 352 | ! Garder le seul terme en q_star^2 ? ou rendre negatif le t_star^2 ? |
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| 353 | therm(i) = sqrt(b1*(1.+2.*retv*qt_th(i))*t_star**2+(retv*th_th(i))**2*b2*q_star*q_star+2.*retv*th_th(i)*b212* & |
|---|
| 354 | q_star*t_star) |
|---|
| 355 | |
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| 356 | ! Theta et qT du thermique (forme H&B) avec exces |
|---|
| 357 | ! (attention, on ajoute therm(i) qui est virtuelle ...) |
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| 358 | ! pourquoi pas sqrt(b1)*t_star ? |
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| 359 | ! dqs = b2sr*kqfs(i)/wm(i) |
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| 360 | qt_th(i) = qt_th(i) + b2sr*q_star |
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| 361 | rhino(i, 1) = 0.0 |
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| 362 | END IF |
|---|
| 363 | END DO |
|---|
| 364 | |
|---|
| 365 | ! +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 366 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|---|
| 367 | ! ++ Improve pblh estimate for unstable conditions using the +++++++ |
|---|
| 368 | ! ++ convective temperature excess : +++++++ |
|---|
| 369 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 370 | ! +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 371 | |
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| 372 | DO k = 2, isommet |
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| 373 | DO i = 1, knon |
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| 374 | IF (check(i)) THEN |
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| 375 | ! test zdu2 = (u(i,k)-u(i,1))**2+(v(i,k)-v(i,1))**2+fac*ustar(i)**2 |
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| 376 | zdu2 = u(i, k)**2 + v(i, k)**2 |
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| 377 | zdu2 = max(zdu2, 1.0E-20) |
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| 378 | ! Theta_v environnement |
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| 379 | zthvd = t(i, k)/s(i, k)*(1.+retv*q(i,k)) |
|---|
| 380 | |
|---|
| 381 | ! et therm Theta_v (avec hypothese de constance de H&B, |
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| 382 | ! qui assimile qT a vapeur) |
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| 383 | zthvu = th_th(i)*(1.+retv*qt_th(i)) + therm(i) |
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| 384 | |
|---|
| 385 | |
|---|
| 386 | ! Le Ri par Theta_v |
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| 387 | ! AM Niveau de ref 2m |
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| 388 | rhino(i, k) = (z(i,k)-zref)*rg*(zthvd-zthvu)/(zdu2*0.5*(zthvd+zthvu)) |
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| 389 | |
|---|
| 390 | ! Niveau critique atteint |
|---|
| 391 | IF (rhino(i,k)>=ricr) THEN |
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| 392 | pblh(i) = z(i, k-1) + (z(i,k-1)-z(i,k))*(ricr-rhino(i,k-1))/(rhino(i,k-1)-rhino(i,k)) |
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| 393 | ! test04 |
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| 394 | pblh(i) = pblh(i) + 100. |
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| 395 | ! pblT(i) = t(i,k-1) + (t(i,k)-t(i,k-1)) * |
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| 396 | ! . (pblh(i)-z(i,k-1))/(z(i,k)-z(i,k-1)) |
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| 397 | check(i) = .FALSE. |
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| 398 | END IF |
|---|
| 399 | END IF |
|---|
| 400 | END DO |
|---|
| 401 | END DO |
|---|
| 402 | |
|---|
| 403 | ! Set pbl height to maximum value where computation exceeds number of |
|---|
| 404 | ! layers allowed (H&B) |
|---|
| 405 | |
|---|
| 406 | DO i = 1, knon |
|---|
| 407 | IF (check(i)) pblh(i) = z(i, isommet) |
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| 408 | END DO |
|---|
| 409 | |
|---|
| 410 | ! PBL height must be greater than some minimum mechanical mixing depth |
|---|
| 411 | ! Several investigators have proposed minimum mechanical mixing depth |
|---|
| 412 | ! relationships as a function of the local friction velocity, u*. We |
|---|
| 413 | ! make use of a linear relationship of the form h = c u* where c=700. |
|---|
| 414 | ! The scaling arguments that give rise to this relationship most often |
|---|
| 415 | ! represent the coefficient c as some constant over the local coriolis |
|---|
| 416 | ! parameter. Here we make use of the experimental results of Koracin |
|---|
| 417 | ! and Berkowicz (1988) [BLM, Vol 43] for wich they recommend 0.07/f |
|---|
| 418 | ! where f was evaluated at 39.5 N and 52 N. Thus we use a typical mid |
|---|
| 419 | ! latitude value for f so that c = 0.07/f = 700. (H&B) |
|---|
| 420 | ! Al1 calcul de pblT dans ce cas |
|---|
| 421 | DO i = 1, knon |
|---|
| 422 | pblmin = 700.0*ustar(i) |
|---|
| 423 | IF (pblh(i)<pblmin) check(i) = .TRUE. |
|---|
| 424 | END DO |
|---|
| 425 | DO i = 1, knon |
|---|
| 426 | IF (check(i)) THEN |
|---|
| 427 | pblh(i) = 700.0*ustar(i) |
|---|
| 428 | ! et par exemple : |
|---|
| 429 | ! pblT(i) = t(i,2) + (t(i,3)-t(i,2)) * |
|---|
| 430 | ! . (pblh(i)-z(i,2))/(z(i,3)-z(i,2)) |
|---|
| 431 | END IF |
|---|
| 432 | END DO |
|---|
| 433 | |
|---|
| 434 | ! ******************************************************************** |
|---|
| 435 | ! pblh is now available; do preparation for final calculations : |
|---|
| 436 | ! ******************************************************************** |
|---|
| 437 | DO i = 1, knon |
|---|
| 438 | check(i) = .TRUE. |
|---|
| 439 | zsat(i) = .FALSE. |
|---|
| 440 | zcin(i) = .FALSE. |
|---|
| 441 | ! omegafl utilise pour prolongement CAPE |
|---|
| 442 | omegafl(i) = .FALSE. |
|---|
| 443 | |
|---|
| 444 | ! Do additional preparation for unstable cases only, set temperature |
|---|
| 445 | ! and moisture perturbations depending on stability. |
|---|
| 446 | ! Rq: les formules sont prises dans leur forme Couche de Surface |
|---|
| 447 | IF (unstbl(i)) THEN |
|---|
| 448 | ! Al pblh a change', on recalcule : |
|---|
| 449 | zxt = (th_th(i)-zref*0.5*rg/rcpd/(1.+rvtmp2*qt_th(i)))*(1.+retv*qt_th(i)) |
|---|
| 450 | phiminv(i) = (1.-binm*pblh(i)/obklen(i))**onet |
|---|
| 451 | phihinv(i) = sqrt(1.-binh*pblh(i)/obklen(i)) |
|---|
| 452 | wm(i) = ustar(i)*phiminv(i) |
|---|
| 453 | END IF |
|---|
| 454 | END DO |
|---|
| 455 | |
|---|
| 456 | |
|---|
| 457 | ! ======================================================= |
|---|
| 458 | ! last upward integration |
|---|
| 459 | ! For all unstable layers, compute integral info and CTEI |
|---|
| 460 | ! ======================================================= |
|---|
| 461 | |
|---|
| 462 | ! 1/Recompute surface characteristics with the improved pblh |
|---|
| 463 | ! ---------------------------------------------------------- |
|---|
| 464 | DO i = 1, knon |
|---|
| 465 | IF (unstbl(i)) THEN |
|---|
| 466 | diagok(i) = 1. |
|---|
| 467 | ! from missing_value to zero |
|---|
| 468 | cape(i) = 0. |
|---|
| 469 | cin(i) = 0. |
|---|
| 470 | eauliq(i) = 0. |
|---|
| 471 | ctei(i) = 0. |
|---|
| 472 | d_qt(i) = 0. |
|---|
| 473 | d_thv(i) = 0. |
|---|
| 474 | dlt_2(i) = 0. |
|---|
| 475 | xhis(i) = 0. |
|---|
| 476 | posint(i) = 0. |
|---|
| 477 | kin(i) = 0. |
|---|
| 478 | omega(i) = 0. |
|---|
| 479 | |
|---|
| 480 | phiminv(i) = (1.-binm*pblh(i)/obklen(i))**onet |
|---|
| 481 | wm(i) = ustar(i)*phiminv(i) |
|---|
| 482 | q_star = max(0., kqfs(i)/wm(i)) |
|---|
| 483 | t_star = max(0., khfs(i)/wm(i)) |
|---|
| 484 | therm(i) = sqrt(b1*(1.+2.*retv*qt_th(i))*t_star**2+(retv*th_th(i))**2*b2*q_star*q_star+2.*retv*th_th(i)*b212* & |
|---|
| 485 | q_star*t_star) |
|---|
| 486 | ! Al1diag |
|---|
| 487 | ! trmb1(i) = b1*(1.+2.*RETV*qT_th(i))*t_star**2 |
|---|
| 488 | ! trmb2(i) = (RETV*Th_th(i))**2*b2*q_star*q_star |
|---|
| 489 | ! trmb3(i) = 2.*RETV*Th_th(i)*b212*q_star*t_star |
|---|
| 490 | |
|---|
| 491 | ! Th_th will now be the thermal-theta (including exces) |
|---|
| 492 | ! c Th_th(i) = Th_th(i)+sqrt(b1)*max(0.,khfs(i)/wm(i)) |
|---|
| 493 | th_th(i) = th_th(i) + therm(i) |
|---|
| 494 | ! al1diag |
|---|
| 495 | ! trmb2(i) = wm(i) |
|---|
| 496 | ! trmb3(i) = phiminv(i) |
|---|
| 497 | ! and computes Theta_e for thermal |
|---|
| 498 | the_th(i) = th_th(i) + rlvcp*qt_th(i) |
|---|
| 499 | END IF ! unstbl |
|---|
| 500 | ! Al1 compute a first guess of Plcl with the Bolton/Emanuel formula |
|---|
| 501 | t2 = th_th(i) |
|---|
| 502 | ! thermodyn functions |
|---|
| 503 | zdelta = max(0., sign(1.,rtt-t2)) |
|---|
| 504 | qsat = r2es*foeew(t2, zdelta)/paprs(i, 1) |
|---|
| 505 | qsat = min(0.5, qsat) |
|---|
| 506 | zcor = 1./(1.-retv*qsat) |
|---|
| 507 | qsat = qsat*zcor |
|---|
| 508 | ! relative humidity of thermal at 2m |
|---|
| 509 | rh = qt_th(i)/qsat |
|---|
| 510 | chi = t2/(1669.0-122.0*rh-t2) |
|---|
| 511 | plcl(i) = paprs(i, 1)*(rh**chi) |
|---|
| 512 | ! al1diag |
|---|
| 513 | ! ctei(i) = Plcl(i) |
|---|
| 514 | ! cape(i) = T2 |
|---|
| 515 | ! trmb1(i)= Chi |
|---|
| 516 | ! select unstable columns (=thermals) |
|---|
| 517 | check(i) = .FALSE. |
|---|
| 518 | IF (heatv(i)>0.) check(i) = .TRUE. |
|---|
| 519 | ! diag |
|---|
| 520 | ! dTv21(i,1) = T2*(1+RETV*qT_th(i))-t(i,1)*(1+RETV*q(i,1)) |
|---|
| 521 | END DO |
|---|
| 522 | ! ---------------------------------- |
|---|
| 523 | ! 2/ upward integration for thermals |
|---|
| 524 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ k loop |
|---|
| 525 | DO k = 2, isommet |
|---|
| 526 | DO i = 1, knon |
|---|
| 527 | IF (check(i) .OR. omegafl(i)) THEN |
|---|
| 528 | ! CC if (pplay(i,k) .le. plcl(i)) then |
|---|
| 529 | zm(i) = z(i, k-1) |
|---|
| 530 | zp(i) = z(i, k) |
|---|
| 531 | ! Environnement : calcul de Tv1 a partir de t(:,:)== T liquide |
|---|
| 532 | ! ============== |
|---|
| 533 | tl1 = t(i, k) |
|---|
| 534 | t1 = tl1 |
|---|
| 535 | zdelta = max(0., sign(1.,rtt-t1)) |
|---|
| 536 | qsat = r2es*foeew(t1, zdelta)/pplay(i, k) |
|---|
| 537 | qsat = min(0.5, qsat) |
|---|
| 538 | zcor = 1./(1.-retv*qsat) |
|---|
| 539 | qsat = qsat*zcor |
|---|
| 540 | q1 = min(q(i,k), qsat) |
|---|
| 541 | ql1 = max(0., q(i,k)-q1) |
|---|
| 542 | ! thermodyn function (Tl2Tql) |
|---|
| 543 | dt = rlvcp*ql1 |
|---|
| 544 | DO WHILE (abs(dt)>=dt0) |
|---|
| 545 | t1 = t1 + dt |
|---|
| 546 | zdelta = max(0., sign(1.,rtt-t1)) |
|---|
| 547 | zcvm5 = r5les*(1.-zdelta) + r5ies*zdelta |
|---|
| 548 | qsat = r2es*foeew(t1, zdelta)/pplay(i, k) |
|---|
| 549 | qsat = min(0.5, qsat) |
|---|
| 550 | zcor = 1./(1.-retv*qsat) |
|---|
| 551 | qsat = qsat*zcor |
|---|
| 552 | dqsat_dt = foede(t1, zdelta, zcvm5, qsat, zcor) |
|---|
| 553 | ! correction lineaire pour conserver Tl env |
|---|
| 554 | ! << Tl = T1 + DT - RLvCp*(ql1 - dqsat/dT*DT >> |
|---|
| 555 | denom = 1. + rlvcp*dqsat_dt |
|---|
| 556 | q1 = min(q(i,k), qsat) |
|---|
| 557 | ql1 = q(i, k) - q1 ! can be negative |
|---|
| 558 | rnum = tl1 - t1 + rlvcp*ql1 |
|---|
| 559 | dt = rnum/denom |
|---|
| 560 | END DO |
|---|
| 561 | ql1 = max(0., ql1) |
|---|
| 562 | tv1 = t1*(1.+retv*q1-ql1) |
|---|
| 563 | ! Thermique : on atteint le seuil B/E de condensation |
|---|
| 564 | ! ============== |
|---|
| 565 | |
|---|
| 566 | IF (.NOT. zsat(i)) THEN |
|---|
| 567 | ! first guess from The_th(i) = Th_th(i) + RLvCp* [qv=qT_th(i)] |
|---|
| 568 | t2 = s(i, k)*the_th(i) - rlvcp*qt_th(i) |
|---|
| 569 | zdelta = max(0., sign(1.,rtt-t2)) |
|---|
| 570 | qsat = r2es*foeew(t2, zdelta)/pplay(i, k) |
|---|
| 571 | qsat = min(0.5, qsat) |
|---|
| 572 | zcor = 1./(1.-retv*qsat) |
|---|
| 573 | qsat = qsat*zcor |
|---|
| 574 | q2 = min(qt_th(i), qsat) |
|---|
| 575 | ql2 = max(0., qt_th(i)-q2) |
|---|
| 576 | IF (ql2>0.0001) zsat(i) = .TRUE. |
|---|
| 577 | tbef(i) = t2 |
|---|
| 578 | ! a PBLH non sature |
|---|
| 579 | IF (zm(i)<pblh(i) .AND. zp(i)>=pblh(i)) THEN |
|---|
| 580 | reduc = (pblh(i)-zm(i))/(zp(i)-zm(i)) |
|---|
| 581 | spblh = s(i, k-1) + reduc*(s(i,k)-s(i,k-1)) |
|---|
| 582 | ! lmdz : qT1 et Thv1 |
|---|
| 583 | t1 = (t(i,k-1)+reduc*(t(i,k)-t(i,k-1))) |
|---|
| 584 | thv1 = t1*(1.+retv*q(i,k))/spblh |
|---|
| 585 | ! on calcule pour le cas sans nuage un ctei en Delta Thv |
|---|
| 586 | thv2 = t2/spblh*(1.+retv*qt_th(i)) |
|---|
| 587 | ctei(i) = thv1 - thv2 |
|---|
| 588 | tv2 = t2*(1.+retv*q2-ql2) |
|---|
| 589 | ! diag |
|---|
| 590 | ! dTv21(i,k) = Tv2-Tv1 |
|---|
| 591 | check(i) = .FALSE. |
|---|
| 592 | omegafl(i) = .TRUE. |
|---|
| 593 | END IF |
|---|
| 594 | END IF |
|---|
| 595 | |
|---|
| 596 | IF (zsat(i)) THEN |
|---|
| 597 | ! thermodyn functions (Te2Tqsat) |
|---|
| 598 | t2 = tbef(i) |
|---|
| 599 | dt = 1. |
|---|
| 600 | te2 = s(i, k)*the_th(i) |
|---|
| 601 | DO WHILE (abs(dt)>=dt0) |
|---|
| 602 | zdelta = max(0., sign(1.,rtt-t2)) |
|---|
| 603 | zcvm5 = r5les*(1.-zdelta) + r5ies*zdelta |
|---|
| 604 | qsat = r2es*foeew(t2, zdelta)/pplay(i, k) |
|---|
| 605 | qsat = min(0.5, qsat) |
|---|
| 606 | zcor = 1./(1.-retv*qsat) |
|---|
| 607 | qsat = qsat*zcor |
|---|
| 608 | dqsat_dt = foede(t2, zdelta, zcvm5, qsat, zcor) |
|---|
| 609 | ! correction lineaire pour conserver Te_th |
|---|
| 610 | ! << Te = T2 + DT + RLvCp*(qsatbef + dq/dT*DT >> |
|---|
| 611 | denom = 1. + rlvcp*dqsat_dt |
|---|
| 612 | rnum = te2 - t2 - rlvcp*qsat |
|---|
| 613 | dt = rnum/denom |
|---|
| 614 | t2 = t2 + dt |
|---|
| 615 | END DO |
|---|
| 616 | q2 = min(qt_th(i), qsat) |
|---|
| 617 | ql2 = max(0., qt_th(i)-q2) |
|---|
| 618 | ! jusqu'a PBLH y compris |
|---|
| 619 | IF (zm(i)<pblh(i)) THEN |
|---|
| 620 | |
|---|
| 621 | ! mais a PBLH, interpolation et complements |
|---|
| 622 | IF (zp(i)>=pblh(i)) THEN |
|---|
| 623 | reduc = (pblh(i)-zm(i))/(zp(i)-zm(i)) |
|---|
| 624 | spblh = s(i, k-1) + reduc*(s(i,k)-s(i,k-1)) |
|---|
| 625 | ! CAPE et EauLiq a pblH |
|---|
| 626 | cape(i) = kape(i) + reduc*(zp(i)-zm(i))*rg*.5/(tv2+tv1)*max(0., (tv2-tv1)) |
|---|
| 627 | eauliq(i) = eauliq(i) + reduc*(paprs(i,k-1)-paprs(i,k))*ql2/rg |
|---|
| 628 | ! CTEI |
|---|
| 629 | the2 = (t2+rlvcp*q2)/spblh |
|---|
| 630 | ! T1 est en realite la Tl env (on a donc strict The1) |
|---|
| 631 | t1 = (t(i,k-1)+reduc*(t(i,k)-t(i,k-1))) |
|---|
| 632 | the1 = (t1+rlvcp*q(i,k))/spblh |
|---|
| 633 | ! Calcul de la Cloud Top Entrainement Instability |
|---|
| 634 | ! cf Mathieu Lahellec QJRMS (2005) Comments to DYCOMS-II |
|---|
| 635 | ! saut a l'inversion : |
|---|
| 636 | delt_the = the1 - the2 ! negatif |
|---|
| 637 | delt_qt = q(i, k) - qt_th(i) ! negatif |
|---|
| 638 | d_qt(i) = -delt_qt |
|---|
| 639 | dlt_2(i) = .63*delt_the - the2*delt_qt |
|---|
| 640 | ! init ctei(i) |
|---|
| 641 | ctei(i) = dlt_2(i) |
|---|
| 642 | IF (dlt_2(i)<-0.1) THEN |
|---|
| 643 | ! integrale de Peter : |
|---|
| 644 | aa = delt_the - delt_qt*(rlvcp-retv*the2) |
|---|
| 645 | bb = (rlvcp-(1.+retv)*the2)*ql2 |
|---|
| 646 | d_thv(i) = aa - bb |
|---|
| 647 | ! approx de Xhi_s et de l'integrale Xint=ctei(i) |
|---|
| 648 | xhis(i) = bb/(aa-dlt_2(i)) |
|---|
| 649 | ! trmb1(i) = xhis |
|---|
| 650 | ! trmb3(i) = dlt_2 |
|---|
| 651 | xnull = bb/aa |
|---|
| 652 | IF (xhis(i)>0.1) THEN |
|---|
| 653 | ctei(i) = dlt_2(i)*xhis(i) + aa*(1.-xhis(i)) + bb*alog(xhis(i)) |
|---|
| 654 | ELSE |
|---|
| 655 | ctei(i) = .5*(dlt_2(i)+aa-bb) |
|---|
| 656 | END IF |
|---|
| 657 | IF (xnull>0.) THEN |
|---|
| 658 | posint(i) = aa - bb + bb*alog(xnull) |
|---|
| 659 | ELSE |
|---|
| 660 | posint(i) = 0. |
|---|
| 661 | END IF |
|---|
| 662 | ELSE |
|---|
| 663 | ctei(i) = 1. |
|---|
| 664 | posint(i) = 1. |
|---|
| 665 | END IF |
|---|
| 666 | check(i) = .FALSE. |
|---|
| 667 | omegafl(i) = .TRUE. |
|---|
| 668 | END IF ! end a pblh |
|---|
| 669 | IF (check(i)) eauliq(i) = eauliq(i) + (paprs(i,k)-paprs(i,k+1))*ql2/rg |
|---|
| 670 | END IF |
|---|
| 671 | |
|---|
| 672 | END IF ! Zsat |
|---|
| 673 | |
|---|
| 674 | ! KAPE : thermique / environnement |
|---|
| 675 | tv2 = t2*(1.+retv*q2-ql2) |
|---|
| 676 | ! diag |
|---|
| 677 | ! dTv21(i,k) = Tv2-Tv1 |
|---|
| 678 | ! Kape courante |
|---|
| 679 | kape(i) = kape(i) + (zp(i)-zm(i))*rg*.5/(tv2+tv1)*max(0., (tv2-tv1)) |
|---|
| 680 | ! Cin |
|---|
| 681 | IF (zcin(i) .AND. tv2-tv1>0.) THEN |
|---|
| 682 | zcin(i) = .FALSE. |
|---|
| 683 | cin(i) = kin(i) |
|---|
| 684 | END IF |
|---|
| 685 | IF (.NOT. zcin(i) .AND. tv2-tv1<0.) THEN |
|---|
| 686 | zcin(i) = .TRUE. |
|---|
| 687 | kin(i) = kin(i) + (zp(i)-zm(i))*rg*.5/(tv2+tv1)*min(0., (tv2-tv1)) |
|---|
| 688 | END IF |
|---|
| 689 | IF (kape(i)+kin(i)<0.) THEN |
|---|
| 690 | omega(i) = zm(i) |
|---|
| 691 | ! trmb3(i) = paprs(i,k) |
|---|
| 692 | omegafl(i) = .FALSE. |
|---|
| 693 | ! diag |
|---|
| 694 | ! print*,'Tv2-Tv1 (k): ',i,(dTv21(i,j),j=1,k) |
|---|
| 695 | END IF |
|---|
| 696 | ! CC EndIf !plcl |
|---|
| 697 | END IF ! check(i) |
|---|
| 698 | END DO |
|---|
| 699 | END DO ! end of level loop |
|---|
| 700 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ end k loop |
|---|
| 701 | RETURN |
|---|
| 702 | END SUBROUTINE hbtm2l |
|---|
