1 | module hbtm_mod |
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2 | |
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3 | IMPLICIT NONE |
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4 | |
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5 | contains |
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6 | |
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7 | SUBROUTINE hbtm(knon, paprs, pplay, t2m, t10m, q2m, q10m, ustar, wstar, & |
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8 | flux_t, flux_q, u, v, t, q, pblh, cape, eauliq, ctei, pblt, therm, & |
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9 | trmb1, trmb2, trmb3, plcl) |
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10 | USE dimphy |
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11 | |
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12 | ! *************************************************************** |
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13 | ! * * |
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14 | ! * HBTM2 D'apres Holstag&Boville et Troen&Mahrt * |
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15 | ! * JAS 47 BLM * |
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16 | ! * Algorithme These Anne Mathieu * |
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17 | ! * Critere d'Entrainement Peter Duynkerke (JAS 50) * |
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18 | ! * written by : Anne MATHIEU & Alain LAHELLEC, 22/11/99 * |
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19 | ! * features : implem. exces Mathieu * |
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20 | ! *************************************************************** |
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21 | ! * mods : decembre 99 passage th a niveau plus bas. voir fixer * |
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22 | ! * la prise du th a z/Lambda = -.2 (max Ray) * |
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23 | ! * Autre algo : entrainement ~ Theta+v =cste mais comment=>The?* |
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24 | ! * on peut fixer q a .7qsat(cf non adiab)=>T2 et The2 * |
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25 | ! * voir aussi //KE pblh = niveau The_e ou l = env. * |
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26 | ! *************************************************************** |
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27 | ! * fin therm a la HBTM passage a forme Mathieu 12/09/2001 * |
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28 | ! *************************************************************** |
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29 | ! * |
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30 | |
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31 | |
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32 | ! AM Fev 2003 |
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33 | ! Adaptation a LMDZ version couplee |
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34 | |
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35 | ! Pour le moment on fait passer en argument les grdeurs de surface : |
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36 | ! flux, t,q2m, t,q10m, on va utiliser systematiquement les grdeurs a 2m ms |
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37 | ! on garde la possibilite de changer si besoin est (jusqu'a present la |
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38 | ! forme de HB avec le 1er niveau modele etait conservee) |
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39 | |
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40 | |
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41 | |
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42 | |
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43 | |
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44 | include "YOMCST.h" |
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45 | REAL rlvcp, reps |
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46 | ! Arguments: |
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47 | |
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48 | INTEGER knon ! nombre de points a calculer |
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49 | ! AM |
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50 | REAL t2m(klon), t10m(klon) ! temperature a 2 et 10m |
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51 | REAL q2m(klon), q10m(klon) ! q a 2 et 10m |
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52 | REAL ustar(klon) |
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53 | REAL wstar(klon) ! w*, convective velocity scale |
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54 | REAL paprs(klon, klev+1) ! pression a inter-couche (Pa) |
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55 | REAL pplay(klon, klev) ! pression au milieu de couche (Pa) |
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56 | REAL flux_t(klon, klev), flux_q(klon, klev) ! Flux |
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57 | REAL u(klon, klev) ! vitesse U (m/s) |
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58 | REAL v(klon, klev) ! vitesse V (m/s) |
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59 | REAL t(klon, klev) ! temperature (K) |
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60 | REAL q(klon, klev) ! vapeur d'eau (kg/kg) |
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61 | ! AM REAL cd_h(klon) ! coefficient de friction au sol pour chaleur |
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62 | ! AM REAL cd_m(klon) ! coefficient de friction au sol pour vitesse |
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63 | |
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64 | INTEGER isommet |
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65 | ! um PARAMETER (isommet=klev) ! limite max sommet pbl |
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66 | REAL, PARAMETER :: vk = 0.35 ! Von Karman => passer a .41 ! cf U.Olgstrom |
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67 | REAL, PARAMETER :: ricr = 0.4 |
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68 | REAL, PARAMETER :: fak = 8.5 ! b calcul du Prandtl et de dTetas |
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69 | REAL, PARAMETER :: fakn = 7.2 ! a |
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70 | REAL, PARAMETER :: onet = 1.0/3.0 |
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71 | REAL, PARAMETER :: t_coup = 273.15 |
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72 | REAL, PARAMETER :: zkmin = 0.01 |
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73 | REAL, PARAMETER :: betam = 15.0 ! pour Phim / h dans la S.L stable |
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74 | REAL, PARAMETER :: betah = 15.0 |
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75 | |
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76 | REAL, PARAMETER :: betas = 5.0 |
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77 | ! Phit dans la S.L. stable (mais 2 formes / z/OBL<>1 |
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78 | |
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79 | REAL, PARAMETER :: sffrac = 0.1 ! S.L. = z/h < .1 |
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80 | REAL, PARAMETER :: usmin = 1.E-12 |
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81 | REAL, PARAMETER :: binm = betam*sffrac |
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82 | REAL, PARAMETER :: binh = betah*sffrac |
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83 | REAL, PARAMETER :: ccon = fak*sffrac*vk |
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84 | REAL, PARAMETER :: b1 = 70., b2 = 20. |
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85 | REAL, PARAMETER :: zref = 2. ! Niveau de ref a 2m peut eventuellement |
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86 | ! etre choisi a 10m |
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87 | REAL q_star, t_star |
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88 | REAL b212, b2sr ! Lambert correlations T' q' avec T* q* |
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89 | |
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90 | REAL z(klon, klev) |
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91 | ! AM REAL pcfm(klon,klev), pcfh(klon,klev) |
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92 | INTEGER i, k, j |
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93 | REAL zxt |
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94 | ! AM REAL zxt, zxq, zxu, zxv, zxmod, taux, tauy |
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95 | ! AM REAL zx_alf1, zx_alf2 ! parametres pour extrapolation |
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96 | REAL khfs(klon) ! surface kinematic heat flux [mK/s] |
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97 | REAL kqfs(klon) ! sfc kinematic constituent flux [m/s] |
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98 | REAL heatv(klon) ! surface virtual heat flux |
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99 | REAL rhino(klon, klev) ! bulk Richardon no. mais en Theta_v |
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100 | LOGICAL unstbl(klon) ! pts w/unstbl pbl (positive virtual ht flx) |
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101 | LOGICAL stblev(klon) ! stable pbl with levels within pbl |
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102 | LOGICAL unslev(klon) ! unstbl pbl with levels within pbl |
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103 | LOGICAL unssrf(klon) ! unstb pbl w/lvls within srf pbl lyr |
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104 | LOGICAL unsout(klon) ! unstb pbl w/lvls in outer pbl lyr |
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105 | LOGICAL check(klon) ! True=>chk if Richardson no.>critcal |
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106 | LOGICAL omegafl(klon) ! flag de prolongerment cape pour pt Omega |
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107 | REAL pblh(klon) |
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108 | REAL pblt(klon) |
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109 | REAL plcl(klon) |
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110 | ! AM REAL cgh(klon,2:klev) ! counter-gradient term for heat [K/m] |
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111 | ! AM REAL cgq(klon,2:klev) ! counter-gradient term for constituents |
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112 | ! AM REAL cgs(klon,2:klev) ! counter-gradient star (cg/flux) |
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113 | REAL unsobklen(klon) ! Monin-Obukhov lengh |
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114 | ! AM REAL ztvd, ztvu, |
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115 | REAL zdu2 |
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116 | REAL, intent(out):: therm(:) ! (klon) thermal virtual temperature excess |
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117 | REAL trmb1(klon), trmb2(klon), trmb3(klon) |
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118 | ! Algorithme thermique |
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119 | REAL s(klon, klev) ! [P/Po]^Kappa milieux couches |
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120 | REAL th_th(klon) ! potential temperature of thermal |
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121 | REAL the_th(klon) ! equivalent potential temperature of thermal |
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122 | REAL qt_th(klon) ! total water of thermal |
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123 | REAL tbef(klon) ! T thermique niveau precedent |
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124 | REAL qsatbef(klon) |
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125 | LOGICAL zsat(klon) ! le thermique est sature |
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126 | REAL cape(klon) ! Cape du thermique |
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127 | REAL kape(klon) ! Cape locale |
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128 | REAL eauliq(klon) ! Eau liqu integr du thermique |
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129 | REAL ctei(klon) ! Critere d'instab d'entrainmt des nuages de CL |
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130 | REAL the1, the2, aa, bb, zthvd, zthvu, xintpos, qqsat |
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131 | ! IM 091204 BEG |
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132 | REAL a1, a2, a3 |
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133 | ! IM 091204 END |
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134 | REAL xhis, rnum, denom, th1, th2, thv1, thv2, ql2 |
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135 | REAL dqsat_dt, qsat2, qt1, q2, t1, t2, xnull, delt_the |
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136 | REAL delt_qt, delt_2, quadsat, spblh, reduc |
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137 | |
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138 | REAL phiminv(klon) ! inverse phi function for momentum |
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139 | REAL phihinv(klon) ! inverse phi function for heat |
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140 | REAL wm(klon) ! turbulent velocity scale for momentum |
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141 | REAL fak1(klon) ! k*ustar*pblh |
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142 | REAL fak2(klon) ! k*wm*pblh |
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143 | REAL fak3(klon) ! fakn*wstar/wm |
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144 | REAL pblk(klon) ! level eddy diffusivity for momentum |
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145 | REAL pr(klon) ! Prandtl number for eddy diffusivities |
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146 | REAL zl(klon) ! zmzp / Obukhov length |
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147 | REAL zh(klon) ! zmzp / pblh |
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148 | REAL zzh(klon) ! (1-(zmzp/pblh))**2 |
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149 | REAL zm(klon) ! current level height |
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150 | REAL zp(klon) ! current level height + one level up |
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151 | REAL zcor, zdelta, zcvm5 |
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152 | ! AM REAL zxqs |
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153 | REAL fac, pblmin, zmzp, term |
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154 | |
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155 | include "YOETHF.h" |
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156 | include "FCTTRE.h" |
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157 | |
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158 | |
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159 | |
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160 | ! initialisations (Anne) |
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161 | isommet = klev |
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162 | th_th(:) = 0. |
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163 | q_star = 0 |
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164 | t_star = 0 |
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165 | therm = 0. |
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166 | |
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167 | b212 = sqrt(b1*b2) |
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168 | b2sr = sqrt(b2) |
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169 | |
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170 | ! ============================================================ |
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171 | ! Fonctions thermo implicites |
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172 | ! ============================================================ |
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173 | ! +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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174 | ! Tetens : pression partielle de vap d'eau e_sat(T) |
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175 | ! ================================================= |
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176 | ! ++ e_sat(T) = r2*exp( r3*(T-Tf)/(T-r4) ) id a r2*FOEWE |
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177 | ! ++ avec : |
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178 | ! ++ Tf = 273.16 K (Temp de fusion de la glace) |
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179 | ! ++ r2 = 611.14 Pa |
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180 | ! ++ r3 = 17.269 (liquide) 21.875 (solide) adim |
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181 | ! ++ r4 = 35.86 7.66 Kelvin |
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182 | ! ++ q_sat = eps*e_sat/(p-(1-eps)*e_sat) |
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183 | ! ++ deriv� : |
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184 | ! ++ ========= |
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185 | ! ++ r3*(Tf-r4)*q_sat(T,p) |
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186 | ! ++ d_qsat_dT = -------------------------------- |
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187 | ! ++ (T-r4)^2*( 1-(1-eps)*e_sat(T)/p ) |
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188 | ! ++ pour zcvm5=Lv, c'est FOEDE |
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189 | ! ++ Rq :(1.-REPS)*esarg/Parg id a RETV*Qsat |
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190 | ! ------------------------------------------------------------------ |
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191 | |
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192 | ! Initialisation |
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193 | rlvcp = rlvtt/rcpd |
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194 | reps = rd/rv |
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195 | |
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196 | |
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197 | ! DO i = 1, klon |
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198 | ! pcfh(i,1) = cd_h(i) |
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199 | ! pcfm(i,1) = cd_m(i) |
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200 | ! ENDDO |
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201 | ! DO k = 2, klev |
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202 | ! DO i = 1, klon |
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203 | ! pcfh(i,k) = zkmin |
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204 | ! pcfm(i,k) = zkmin |
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205 | ! cgs(i,k) = 0.0 |
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206 | ! cgh(i,k) = 0.0 |
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207 | ! cgq(i,k) = 0.0 |
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208 | ! ENDDO |
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209 | ! ENDDO |
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210 | |
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211 | ! Calculer les hauteurs de chaque couche |
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212 | ! (geopotentielle Int_dp/ro = Int_[Rd.T.dp/p] z = geop/g) |
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213 | ! pourquoi ne pas utiliser Phi/RG ? |
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214 | DO i = 1, knon |
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215 | z(i, 1) = rd*t(i, 1)/(0.5*(paprs(i,1)+pplay(i,1)))& |
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216 | *(paprs(i,1)-pplay(i,1))/rg |
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217 | s(i, 1) = (pplay(i,1)/paprs(i,1))**rkappa |
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218 | END DO |
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219 | ! s(k) = [pplay(k)/ps]^kappa |
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220 | ! + + + + + + + + + pplay <-> s(k) t dp=pplay(k-1)-pplay(k) |
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221 | |
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222 | ! ----------------- paprs <-> sig(k) |
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223 | |
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224 | ! + + + + + + + + + pplay <-> s(k-1) |
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225 | |
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226 | |
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227 | ! + + + + + + + + + pplay <-> s(1) t dp=paprs-pplay z(1) |
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228 | |
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229 | ! ----------------- paprs <-> sig(1) |
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230 | |
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231 | DO k = 2, klev |
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232 | DO i = 1, knon |
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233 | z(i, k) = z(i, k-1) + rd*0.5*(t(i,k-1)+t(i,k))/paprs(i, k)& |
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234 | *(pplay(i,k-1)-pplay(i,k))/rg |
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235 | s(i, k) = (pplay(i,k)/paprs(i,1))**rkappa |
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236 | END DO |
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237 | END DO |
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238 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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239 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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240 | ! +++ Determination des grandeurs de surface +++++++++++++++++++++ |
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241 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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242 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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243 | DO i = 1, knon |
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244 | ! AM IF (thermcep) THEN |
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245 | ! AM zdelta=MAX(0.,SIGN(1.,RTT-tsol(i))) |
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246 | ! zcvm5 = R5LES*RLVTT*(1.-zdelta) + R5IES*RLSTT*zdelta |
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247 | ! zcvm5 = zcvm5 / RCPD / (1.0+RVTMP2*q(i,1)) |
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248 | ! AM zxqs= r2es * FOEEW(tsol(i),zdelta)/paprs(i,1) |
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249 | ! AM zxqs=MIN(0.5,zxqs) |
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250 | ! AM zcor=1./(1.-retv*zxqs) |
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251 | ! AM zxqs=zxqs*zcor |
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252 | ! AM ELSE |
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253 | ! AM IF (tsol(i).LT.t_coup) THEN |
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254 | ! AM zxqs = qsats(tsol(i)) / paprs(i,1) |
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255 | ! AM ELSE |
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256 | ! AM zxqs = qsatl(tsol(i)) / paprs(i,1) |
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257 | ! AM ENDIF |
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258 | ! AM ENDIF |
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259 | ! niveau de reference bulk; mais ici, c,a pourrait etre le niveau de ref |
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260 | ! du thermique |
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261 | ! AM zx_alf1 = 1.0 |
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262 | ! AM zx_alf2 = 1.0 - zx_alf1 |
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263 | ! AM zxt = (t(i,1)+z(i,1)*RG/RCPD/(1.+RVTMP2*q(i,1))) |
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264 | ! AM . *(1.+RETV*q(i,1))*zx_alf1 |
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265 | ! AM . + (t(i,2)+z(i,2)*RG/RCPD/(1.+RVTMP2*q(i,2))) |
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266 | ! AM . *(1.+RETV*q(i,2))*zx_alf2 |
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267 | ! AM zxu = u(i,1)*zx_alf1+u(i,2)*zx_alf2 |
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268 | ! AM zxv = v(i,1)*zx_alf1+v(i,2)*zx_alf2 |
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269 | ! AM zxq = q(i,1)*zx_alf1+q(i,2)*zx_alf2 |
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270 | ! AM |
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271 | ! AMAM zxu = u10m(i) |
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272 | ! AMAM zxv = v10m(i) |
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273 | ! AMAM zxmod = 1.0+SQRT(zxu**2+zxv**2) |
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274 | ! AM Niveau de ref choisi a 2m |
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275 | zxt = t2m(i) |
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276 | |
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277 | ! *************************************************** |
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278 | ! attention, il doit s'agir de <w'theta'> |
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279 | ! ;Calcul de tcls virtuel et de w'theta'virtuel |
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280 | ! ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
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281 | ! tcls=tcls*(1+.608*qcls) |
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282 | |
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283 | ! ;Pour avoir w'theta', |
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284 | ! ; il faut diviser par ro.Cp |
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285 | ! Cp=Cpd*(1+0.84*qcls) |
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286 | ! fcs=fcs/(ro_surf*Cp) |
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287 | ! ;On transforme w'theta' en w'thetav' |
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288 | ! Lv=(2.501-0.00237*(tcls-273.15))*1.E6 |
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289 | ! xle=xle/(ro_surf*Lv) |
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290 | ! fcsv=fcs+.608*xle*tcls |
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291 | ! *************************************************** |
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292 | ! AM khfs(i) = (tsol(i)*(1.+RETV*q(i,1))-zxt) *zxmod*cd_h(i) |
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293 | ! AM kqfs(i) = (zxqs-zxq) *zxmod*cd_h(i) * beta(i) |
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294 | ! AM |
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295 | ! dif khfs est deja w't'_v / heatv(i) = khfs(i) + RETV*zxt*kqfs(i) |
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296 | ! AM calcule de Ro = paprs(i,1)/Rd zxt |
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297 | ! AM convention >0 vers le bas ds lmdz |
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298 | khfs(i) = -flux_t(i, 1)*zxt*rd/(rcpd*paprs(i,1)) |
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299 | kqfs(i) = -flux_q(i, 1)*zxt*rd/(paprs(i,1)) |
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300 | ! AM verifier que khfs et kqfs sont bien de la forme w'l' |
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301 | heatv(i) = khfs(i) + 0.608*zxt*kqfs(i) |
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302 | ! a comparer aussi aux sorties de clqh : flux_T/RoCp et flux_q/RoLv |
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303 | ! AM heatv(i) = khfs(i) |
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304 | ! AM ustar est en entree |
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305 | ! AM taux = zxu *zxmod*cd_m(i) |
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306 | ! AM tauy = zxv *zxmod*cd_m(i) |
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307 | ! AM ustar(i) = SQRT(taux**2+tauy**2) |
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308 | ! AM ustar(i) = MAX(SQRT(ustar(i)),0.01) |
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309 | ! Theta et qT du thermique sans exces (interpolin vers surf) |
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310 | ! chgt de niveau du thermique (jeudi 30/12/1999) |
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311 | ! (interpolation lineaire avant integration phi_h) |
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312 | ! AM qT_th(i) = zxqs*beta(i) + 4./z(i,1)*(q(i,1)-zxqs*beta(i)) |
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313 | ! AM qT_th(i) = max(qT_th(i),q(i,1)) |
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314 | qt_th(i) = q2m(i) |
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315 | ! n The_th restera la Theta du thermique sans exces jusqu'a 2eme calcul |
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316 | ! n reste a regler convention P) pour Theta |
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317 | ! The_th(i) = tsol(i) + 4./z(i,1)*(t(i,1)-tsol(i)) |
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318 | ! - + RLvCp*qT_th(i) |
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319 | ! AM Th_th(i) = tsol(i) + 4./z(i,1)*(t(i,1)-tsol(i)) |
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320 | th_th(i) = t2m(i) |
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321 | END DO |
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322 | |
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323 | DO i = 1, knon |
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324 | rhino(i, 1) = 0.0 ! Global Richardson |
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325 | check(i) = .TRUE. |
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326 | pblh(i) = z(i, 1) ! on initialise pblh a l'altitude du 1er niveau |
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327 | plcl(i) = 6000. |
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328 | ! Lambda = -u*^3 / (alpha.g.kvon.<w'Theta'v> |
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329 | unsobklen(i) = -rg*vk*heatv(i)/(t(i,1)*max(ustar(i),usmin)**3) |
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330 | trmb1(i) = 0. |
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331 | trmb2(i) = 0. |
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332 | trmb3(i) = 0. |
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333 | END DO |
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334 | |
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335 | |
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336 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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337 | ! PBL height calculation: |
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338 | ! Search for level of pbl. Scan upward until the Richardson number between |
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339 | ! the first level and the current level exceeds the "critical" value. |
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340 | ! (bonne idee Nu de separer le Ric et l'exces de temp du thermique) |
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341 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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342 | fac = 100.0 |
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343 | DO k = 2, isommet |
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344 | DO i = 1, knon |
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345 | IF (check(i)) THEN |
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346 | ! pourquoi / niveau 1 (au lieu du sol) et le terme en u*^2 ? |
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347 | ! test zdu2 = |
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348 | ! (u(i,k)-u(i,1))**2+(v(i,k)-v(i,1))**2+fac*ustar(i)**2 |
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349 | zdu2 = u(i, k)**2 + v(i, k)**2 |
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350 | zdu2 = max(zdu2, 1.0E-20) |
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351 | ! Theta_v environnement |
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352 | zthvd = t(i, k)/s(i, k)*(1.+retv*q(i,k)) |
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353 | |
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354 | ! therm Theta_v sans exces (avec hypothese fausse de H&B, sinon, |
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355 | ! passer par Theta_e et virpot) |
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356 | ! zthvu=t(i,1)/s(i,1)*(1.+RETV*q(i,1)) |
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357 | ! AM zthvu = Th_th(i)*(1.+RETV*q(i,1)) |
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358 | zthvu = th_th(i)*(1.+retv*qt_th(i)) |
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359 | ! Le Ri par Theta_v |
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360 | ! AM rhino(i,k) = (z(i,k)-z(i,1))*RG*(zthvd-zthvu) |
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361 | ! AM . /(zdu2*0.5*(zthvd+zthvu)) |
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362 | ! AM On a nveau de ref a 2m ??? |
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363 | rhino(i, k) = (z(i,k)-zref)*rg*(zthvd-zthvu)/(zdu2*0.5& |
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364 | *(zthvd+zthvu)) |
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365 | |
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366 | IF (rhino(i,k)>=ricr) THEN |
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367 | pblh(i) = z(i, k-1) + (z(i,k-1)-z(i,k))*(ricr-rhino(i,k-1))& |
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368 | /(rhino(i,k-1)-rhino(i,k)) |
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369 | ! test04 |
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370 | pblh(i) = pblh(i) + 100. |
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371 | pblt(i) = t(i, k-1) + (t(i,k)-t(i,k-1))*(pblh(i)-z(i,k-1))& |
---|
372 | /(z(i,k)- z(i,k-1)) |
---|
373 | check(i) = .FALSE. |
---|
374 | END IF |
---|
375 | END IF |
---|
376 | END DO |
---|
377 | END DO |
---|
378 | |
---|
379 | |
---|
380 | ! Set pbl height to maximum value where computation exceeds number of |
---|
381 | ! layers allowed |
---|
382 | |
---|
383 | DO i = 1, knon |
---|
384 | IF (check(i)) pblh(i) = z(i, isommet) |
---|
385 | END DO |
---|
386 | |
---|
387 | ! Improve estimate of pbl height for the unstable points. |
---|
388 | ! Find unstable points (sensible heat flux is upward): |
---|
389 | |
---|
390 | DO i = 1, knon |
---|
391 | IF (heatv(i)>0.) THEN |
---|
392 | unstbl(i) = .TRUE. |
---|
393 | check(i) = .TRUE. |
---|
394 | ELSE |
---|
395 | unstbl(i) = .FALSE. |
---|
396 | check(i) = .FALSE. |
---|
397 | END IF |
---|
398 | END DO |
---|
399 | |
---|
400 | ! For the unstable case, compute velocity scale and the |
---|
401 | ! convective temperature excess: |
---|
402 | |
---|
403 | DO i = 1, knon |
---|
404 | IF (check(i)) THEN |
---|
405 | phiminv(i) = (1.-binm*pblh(i)*unsobklen(i))**onet |
---|
406 | ! *************************************************** |
---|
407 | ! Wm ? et W* ? c'est la formule pour z/h < .1 |
---|
408 | ! ;Calcul de w* ;; |
---|
409 | ! ;;;;;;;;;;;;;;;; |
---|
410 | ! w_star=((g/tcls)*fcsv*z(ind))^(1/3.) [ou prendre la premiere approx |
---|
411 | ! de h) |
---|
412 | ! ;; CALCUL DE wm ;; |
---|
413 | ! ;;;;;;;;;;;;;;;;;; |
---|
414 | ! ; Ici on considerera que l'on est dans la couche de surf jusqu'a |
---|
415 | ! 100 m |
---|
416 | ! ; On prend svt couche de surface=0.1*h mais on ne connait pas h |
---|
417 | ! ;;;;;;;;;;;Dans la couche de surface |
---|
418 | ! if (z(ind) le 20) then begin |
---|
419 | ! Phim=(1.-15.*(z(ind)/L))^(-1/3.) |
---|
420 | ! wm=u_star/Phim |
---|
421 | ! ;;;;;;;;;;;En dehors de la couche de surface |
---|
422 | ! endif else if (z(ind) gt 20) then begin |
---|
423 | ! wm=(u_star^3+c1*w_star^3)^(1/3.) |
---|
424 | ! endif |
---|
425 | ! *************************************************** |
---|
426 | wm(i) = ustar(i)*phiminv(i) |
---|
427 | ! =================================================================== |
---|
428 | ! valeurs de Dominique Lambert de la campagne SEMAPHORE : |
---|
429 | ! <T'^2> = 100.T*^2; <q'^2> = 20.q*^2 a 10m |
---|
430 | ! <Tv'^2> = (1+1.2q).100.T* + 1.2Tv.sqrt(20*100).T*.q* + |
---|
431 | ! (.608*Tv)^2*20.q*^2; |
---|
432 | ! et dTetavS = sqrt(<Tv'^2>) ainsi calculee. |
---|
433 | ! avec : T*=<w'T'>_s/w* et q*=<w'q'>/w* |
---|
434 | ! !!! on peut donc utiliser w* pour les fluctuations <-> Lambert |
---|
435 | ! (leur corellation pourrait dependre de beta par ex) |
---|
436 | ! if fcsv(i,j) gt 0 then begin |
---|
437 | ! dTetavs=b1*(1.+2.*.608*q_10(i,j))*(fcs(i,j)/wm(i,j))^2+$ |
---|
438 | ! (.608*Thetav_10(i,j))^2*b2*(xle(i,j)/wm(i,j))^2+$ |
---|
439 | ! 2.*.608*thetav_10(i,j)*sqrt(b1*b2)*(xle(i,j)/wm(i,j))*(fcs(i,j) |
---|
440 | ! /wm(i,j)) |
---|
441 | ! dqs=b2*(xle(i,j)/wm(i,j))^2 |
---|
442 | ! theta_s(i,j)=thetav_10(i,j)+sqrt(dTetavs) |
---|
443 | ! q_s(i,j)=q_10(i,j)+sqrt(dqs) |
---|
444 | ! endif else begin |
---|
445 | ! Theta_s(i,j)=thetav_10(i,j) |
---|
446 | ! q_s(i,j)=q_10(i,j) |
---|
447 | ! endelse |
---|
448 | ! =================================================================== |
---|
449 | |
---|
450 | ! HBTM therm(i) = heatv(i)*fak/wm(i) |
---|
451 | ! forme Mathieu : |
---|
452 | q_star = kqfs(i)/wm(i) |
---|
453 | t_star = khfs(i)/wm(i) |
---|
454 | ! IM 091204 BEG |
---|
455 | IF (1==0) THEN |
---|
456 | IF (t_star<0. .OR. q_star<0.) THEN |
---|
457 | PRINT *, 'i t_star q_star khfs kqfs wm', i, t_star, q_star, & |
---|
458 | khfs(i), kqfs(i), wm(i) |
---|
459 | END IF |
---|
460 | END IF |
---|
461 | ! IM 091204 END |
---|
462 | ! AM Nveau cde ref 2m => |
---|
463 | ! AM therm(i) = sqrt( b1*(1.+2.*RETV*q(i,1))*t_star**2 |
---|
464 | ! AM + + (RETV*T(i,1))**2*b2*q_star**2 |
---|
465 | ! AM + + 2.*RETV*T(i,1)*b212*q_star*t_star |
---|
466 | ! AM + ) |
---|
467 | ! IM 091204 BEG |
---|
468 | a1 = b1*(1.+2.*retv*qt_th(i))*t_star**2 |
---|
469 | a2 = (retv*th_th(i))**2*b2*q_star*q_star |
---|
470 | a3 = 2.*retv*th_th(i)*b212*q_star*t_star |
---|
471 | aa = a1 + a2 + a3 |
---|
472 | IF (1==0) THEN |
---|
473 | IF (aa<0.) THEN |
---|
474 | PRINT *, 'i a1 a2 a3 aa', i, a1, a2, a3, aa |
---|
475 | PRINT *, 'i qT_th Th_th t_star q_star RETV b1 b2 b212', i, & |
---|
476 | qt_th(i), th_th(i), t_star, q_star, retv, b1, b2, b212 |
---|
477 | END IF |
---|
478 | END IF |
---|
479 | ! IM 091204 END |
---|
480 | therm(i) = sqrt(b1*(1.+2.*retv*qt_th(i))*t_star**2+(retv*th_th( & |
---|
481 | i))**2*b2*q_star*q_star & ! IM 101204 + + |
---|
482 | ! 2.*RETV*Th_th(i)*b212*q_star*t_star |
---|
483 | +max(0.,2.*retv*th_th(i)*b212*q_star*t_star)) |
---|
484 | |
---|
485 | ! Theta et qT du thermique (forme H&B) avec exces |
---|
486 | ! (attention, on ajoute therm(i) qui est virtuelle ...) |
---|
487 | ! pourquoi pas sqrt(b1)*t_star ? |
---|
488 | ! dqs = b2sr*kqfs(i)/wm(i) |
---|
489 | qt_th(i) = qt_th(i) + b2sr*q_star |
---|
490 | ! new on differre le calcul de Theta_e |
---|
491 | ! The_th(i) = The_th(i) + therm(i) + RLvCp*qT_th(i) |
---|
492 | ! ou: The_th(i) = The_th(i) + sqrt(b1)*khfs(i)/wm(i) + |
---|
493 | ! RLvCp*qT_th(i) |
---|
494 | rhino(i, 1) = 0.0 |
---|
495 | END IF |
---|
496 | END DO |
---|
497 | |
---|
498 | ! +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
499 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
500 | ! ++ Improve pblh estimate for unstable conditions using the +++++++ |
---|
501 | ! ++ convective temperature excess : +++++++ |
---|
502 | ! ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
503 | ! +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
---|
504 | |
---|
505 | DO k = 2, isommet |
---|
506 | DO i = 1, knon |
---|
507 | IF (check(i)) THEN |
---|
508 | ! test zdu2 = |
---|
509 | ! (u(i,k)-u(i,1))**2+(v(i,k)-v(i,1))**2+fac*ustar(i)**2 |
---|
510 | zdu2 = u(i, k)**2 + v(i, k)**2 |
---|
511 | zdu2 = max(zdu2, 1.0E-20) |
---|
512 | ! Theta_v environnement |
---|
513 | zthvd = t(i, k)/s(i, k)*(1.+retv*q(i,k)) |
---|
514 | |
---|
515 | ! et therm Theta_v (avec hypothese de constance de H&B, |
---|
516 | ! zthvu=(t(i,1)+therm(i))/s(i,1)*(1.+RETV*q(i,1)) |
---|
517 | zthvu = th_th(i)*(1.+retv*qt_th(i)) + therm(i) |
---|
518 | |
---|
519 | |
---|
520 | ! Le Ri par Theta_v |
---|
521 | ! AM Niveau de ref 2m |
---|
522 | ! AM rhino(i,k) = (z(i,k)-z(i,1))*RG*(zthvd-zthvu) |
---|
523 | ! AM . /(zdu2*0.5*(zthvd+zthvu)) |
---|
524 | rhino(i, k) = (z(i,k)-zref)*rg*(zthvd-zthvu)/(zdu2*0.5& |
---|
525 | *(zthvd+zthvu)) |
---|
526 | |
---|
527 | |
---|
528 | IF (rhino(i,k)>=ricr) THEN |
---|
529 | pblh(i) = z(i, k-1) + (z(i,k-1)-z(i,k))*(ricr-rhino(i,k-1))& |
---|
530 | /(rhino(i,k-1)-rhino(i,k)) |
---|
531 | ! test04 |
---|
532 | pblh(i) = pblh(i) + 100. |
---|
533 | pblt(i) = t(i, k-1) + (t(i,k)-t(i,k-1))*(pblh(i)-z(i,k-1))& |
---|
534 | /(z(i,k)- z(i,k-1)) |
---|
535 | check(i) = .FALSE. |
---|
536 | ! IM 170305 BEG |
---|
537 | IF (1==0) THEN |
---|
538 | ! debug print -120;34 -34- 58 et 0;26 wamp |
---|
539 | IF (i==950 .OR. i==192 .OR. i==624 .OR. i==118) THEN |
---|
540 | PRINT *, ' i,Th_th,Therm,qT :', i, th_th(i), therm(i), & |
---|
541 | qt_th(i) |
---|
542 | q_star = kqfs(i)/wm(i) |
---|
543 | t_star = khfs(i)/wm(i) |
---|
544 | PRINT *, 'q* t*, b1,b2,b212 ', q_star, t_star, & |
---|
545 | b1*(1.+2.*retv*qt_th(i))*t_star**2, & |
---|
546 | (retv*th_th(i))**2*b2*q_star**2, 2.*retv*th_th(i)& |
---|
547 | *b212*q_star *t_star |
---|
548 | PRINT *, 'zdu2 ,100.*ustar(i)**2', zdu2, fac*ustar(i)**2 |
---|
549 | END IF |
---|
550 | END IF !(1.EQ.0) THEN |
---|
551 | ! IM 170305 END |
---|
552 | ! q_star = kqfs(i)/wm(i) |
---|
553 | ! t_star = khfs(i)/wm(i) |
---|
554 | ! trmb1(i) = b1*(1.+2.*RETV*q(i,1))*t_star**2 |
---|
555 | ! trmb2(i) = (RETV*T(i,1))**2*b2*q_star**2 |
---|
556 | ! Omega now trmb3(i) = 2.*RETV*T(i,1)*b212*q_star*t_star |
---|
557 | END IF |
---|
558 | END IF |
---|
559 | END DO |
---|
560 | END DO |
---|
561 | |
---|
562 | ! Set pbl height to maximum value where computation exceeds number of |
---|
563 | ! layers allowed |
---|
564 | |
---|
565 | DO i = 1, knon |
---|
566 | IF (check(i)) pblh(i) = z(i, isommet) |
---|
567 | END DO |
---|
568 | |
---|
569 | ! PBL height must be greater than some minimum mechanical mixing depth |
---|
570 | ! Several investigators have proposed minimum mechanical mixing depth |
---|
571 | ! relationships as a function of the local friction velocity, u*. We |
---|
572 | ! make use of a linear relationship of the form h = c u* where c=700. |
---|
573 | ! The scaling arguments that give rise to this relationship most often |
---|
574 | ! represent the coefficient c as some constant over the local coriolis |
---|
575 | ! parameter. Here we make use of the experimental results of Koracin |
---|
576 | ! and Berkowicz (1988) [BLM, Vol 43] for wich they recommend 0.07/f |
---|
577 | ! where f was evaluated at 39.5 N and 52 N. Thus we use a typical mid |
---|
578 | ! latitude value for f so that c = 0.07/f = 700. |
---|
579 | |
---|
580 | DO i = 1, knon |
---|
581 | pblmin = 700.0*ustar(i) |
---|
582 | pblh(i) = max(pblh(i), pblmin) |
---|
583 | ! par exemple : |
---|
584 | pblt(i) = t(i, 2) + (t(i,3)-t(i,2))*(pblh(i)-z(i,2))/(z(i,3)-z(i,2)) |
---|
585 | END DO |
---|
586 | |
---|
587 | ! ******************************************************************** |
---|
588 | ! pblh is now available; do preparation for diffusivity calculation : |
---|
589 | ! ******************************************************************** |
---|
590 | DO i = 1, knon |
---|
591 | check(i) = .TRUE. |
---|
592 | zsat(i) = .FALSE. |
---|
593 | ! omegafl utilise pour prolongement CAPE |
---|
594 | omegafl(i) = .FALSE. |
---|
595 | cape(i) = 0. |
---|
596 | kape(i) = 0. |
---|
597 | eauliq(i) = 0. |
---|
598 | ctei(i) = 0. |
---|
599 | pblk(i) = 0.0 |
---|
600 | fak1(i) = ustar(i)*pblh(i)*vk |
---|
601 | |
---|
602 | ! Do additional preparation for unstable cases only, set temperature |
---|
603 | ! and moisture perturbations depending on stability. |
---|
604 | ! *** Rq: les formule sont prises dans leur forme CS *** |
---|
605 | IF (unstbl(i)) THEN |
---|
606 | ! AM Niveau de ref du thermique |
---|
607 | ! AM zxt=(t(i,1)-z(i,1)*0.5*RG/RCPD/(1.+RVTMP2*q(i,1))) |
---|
608 | ! AM . *(1.+RETV*q(i,1)) |
---|
609 | zxt = (th_th(i)-zref*0.5*rg/rcpd/(1.+rvtmp2*qt_th(i)))* & |
---|
610 | (1.+retv*qt_th(i)) |
---|
611 | phiminv(i) = (1.-binm*pblh(i)*unsobklen(i))**onet |
---|
612 | phihinv(i) = sqrt(1.-binh*pblh(i)*unsobklen(i)) |
---|
613 | wm(i) = ustar(i)*phiminv(i) |
---|
614 | fak2(i) = wm(i)*pblh(i)*vk |
---|
615 | wstar(i) = (heatv(i)*rg*pblh(i)/zxt)**onet |
---|
616 | fak3(i) = fakn*wstar(i)/wm(i) |
---|
617 | ELSE |
---|
618 | wstar(i) = 0. |
---|
619 | END IF |
---|
620 | ! Computes Theta_e for thermal (all cases : to be modified) |
---|
621 | ! attention ajout therm(i) = virtuelle |
---|
622 | the_th(i) = th_th(i) + therm(i) + rlvcp*qt_th(i) |
---|
623 | ! ou: The_th(i) = Th_th(i) + sqrt(b1)*khfs(i)/wm(i) + RLvCp*qT_th(i) |
---|
624 | END DO |
---|
625 | |
---|
626 | ! Main level loop to compute the diffusivities and |
---|
627 | ! counter-gradient terms: |
---|
628 | |
---|
629 | DO k = 2, isommet |
---|
630 | |
---|
631 | ! Find levels within boundary layer: |
---|
632 | |
---|
633 | DO i = 1, knon |
---|
634 | unslev(i) = .FALSE. |
---|
635 | stblev(i) = .FALSE. |
---|
636 | zm(i) = z(i, k-1) |
---|
637 | zp(i) = z(i, k) |
---|
638 | IF (zkmin==0.0 .AND. zp(i)>pblh(i)) zp(i) = pblh(i) |
---|
639 | IF (zm(i)<pblh(i)) THEN |
---|
640 | zmzp = 0.5*(zm(i)+zp(i)) |
---|
641 | ! debug |
---|
642 | ! if (i.EQ.1864) then |
---|
643 | ! print*,'i,pblh(1864),obklen(1864)',i,pblh(i),obklen(i) |
---|
644 | ! endif |
---|
645 | |
---|
646 | zh(i) = zmzp/pblh(i) |
---|
647 | zl(i) = zmzp*unsobklen(i) |
---|
648 | zzh(i) = 0. |
---|
649 | IF (zh(i)<=1.0) zzh(i) = (1.-zh(i))**2 |
---|
650 | |
---|
651 | ! stblev for points zm < plbh and stable and neutral |
---|
652 | ! unslev for points zm < plbh and unstable |
---|
653 | |
---|
654 | IF (unstbl(i)) THEN |
---|
655 | unslev(i) = .TRUE. |
---|
656 | ELSE |
---|
657 | stblev(i) = .TRUE. |
---|
658 | END IF |
---|
659 | END IF |
---|
660 | END DO |
---|
661 | ! print*,'fin calcul niveaux' |
---|
662 | |
---|
663 | ! Stable and neutral points; set diffusivities; counter-gradient |
---|
664 | ! terms zero for stable case: |
---|
665 | |
---|
666 | DO i = 1, knon |
---|
667 | IF (stblev(i)) THEN |
---|
668 | IF (zl(i)<=1.) THEN |
---|
669 | pblk(i) = fak1(i)*zh(i)*zzh(i)/(1.+betas*zl(i)) |
---|
670 | ELSE |
---|
671 | pblk(i) = fak1(i)*zh(i)*zzh(i)/(betas+zl(i)) |
---|
672 | END IF |
---|
673 | ! pcfm(i,k) = pblk(i) |
---|
674 | ! pcfh(i,k) = pcfm(i,k) |
---|
675 | END IF |
---|
676 | END DO |
---|
677 | |
---|
678 | ! unssrf, unstable within surface layer of pbl |
---|
679 | ! unsout, unstable within outer layer of pbl |
---|
680 | |
---|
681 | DO i = 1, knon |
---|
682 | unssrf(i) = .FALSE. |
---|
683 | unsout(i) = .FALSE. |
---|
684 | IF (unslev(i)) THEN |
---|
685 | IF (zh(i)<sffrac) THEN |
---|
686 | unssrf(i) = .TRUE. |
---|
687 | ELSE |
---|
688 | unsout(i) = .TRUE. |
---|
689 | END IF |
---|
690 | END IF |
---|
691 | END DO |
---|
692 | |
---|
693 | ! Unstable for surface layer; counter-gradient terms zero |
---|
694 | |
---|
695 | DO i = 1, knon |
---|
696 | IF (unssrf(i)) THEN |
---|
697 | term = (1.-betam*zl(i))**onet |
---|
698 | pblk(i) = fak1(i)*zh(i)*zzh(i)*term |
---|
699 | pr(i) = term/sqrt(1.-betah*zl(i)) |
---|
700 | END IF |
---|
701 | END DO |
---|
702 | ! print*,'fin counter-gradient terms zero' |
---|
703 | |
---|
704 | ! Unstable for outer layer; counter-gradient terms non-zero: |
---|
705 | |
---|
706 | DO i = 1, knon |
---|
707 | IF (unsout(i)) THEN |
---|
708 | pblk(i) = fak2(i)*zh(i)*zzh(i) |
---|
709 | ! cgs(i,k) = fak3(i)/(pblh(i)*wm(i)) |
---|
710 | ! cgh(i,k) = khfs(i)*cgs(i,k) |
---|
711 | pr(i) = phiminv(i)/phihinv(i) + ccon*fak3(i)/fak |
---|
712 | ! cgq(i,k) = kqfs(i)*cgs(i,k) |
---|
713 | END IF |
---|
714 | END DO |
---|
715 | ! print*,'fin counter-gradient terms non zero' |
---|
716 | |
---|
717 | ! For all unstable layers, compute diffusivities and ctrgrad ter m |
---|
718 | |
---|
719 | ! DO i = 1, knon |
---|
720 | ! IF (unslev(i)) THEN |
---|
721 | ! pcfm(i,k) = pblk(i) |
---|
722 | ! pcfh(i,k) = pblk(i)/pr(i) |
---|
723 | ! etc cf original |
---|
724 | ! ENDIF |
---|
725 | ! ENDDO |
---|
726 | |
---|
727 | ! For all layers, compute integral info and CTEI |
---|
728 | |
---|
729 | DO i = 1, knon |
---|
730 | IF (check(i) .OR. omegafl(i)) THEN |
---|
731 | IF (.NOT. zsat(i)) THEN |
---|
732 | ! Th2 = The_th(i) - RLvCp*qT_th(i) |
---|
733 | th2 = th_th(i) |
---|
734 | t2 = th2*s(i, k) |
---|
735 | ! thermodyn functions |
---|
736 | zdelta = max(0., sign(1.,rtt-t2)) |
---|
737 | qqsat = r2es*foeew(t2, zdelta)/pplay(i, k) |
---|
738 | qqsat = min(0.5, qqsat) |
---|
739 | zcor = 1./(1.-retv*qqsat) |
---|
740 | qqsat = qqsat*zcor |
---|
741 | |
---|
742 | IF (qqsat<qt_th(i)) THEN |
---|
743 | ! on calcule lcl |
---|
744 | IF (k==2) THEN |
---|
745 | plcl(i) = z(i, k) |
---|
746 | ELSE |
---|
747 | plcl(i) = z(i, k-1) + (z(i,k-1)-z(i,k))*(qt_th(i)& |
---|
748 | -qsatbef(i))/(qsatbef(i)-qqsat) |
---|
749 | END IF |
---|
750 | zsat(i) = .TRUE. |
---|
751 | tbef(i) = t2 |
---|
752 | END IF |
---|
753 | |
---|
754 | qsatbef(i) = qqsat ! bug dans la version orig ??? |
---|
755 | END IF |
---|
756 | ! amn ???? cette ligne a deja ete faite normalement ? |
---|
757 | END IF |
---|
758 | ! print*,'hbtm2 i,k=',i,k |
---|
759 | END DO |
---|
760 | END DO ! end of level loop |
---|
761 | ! IM 170305 BEG |
---|
762 | IF (1==0) THEN |
---|
763 | PRINT *, 'hbtm2 ok' |
---|
764 | END IF !(1.EQ.0) THEN |
---|
765 | ! IM 170305 END |
---|
766 | |
---|
767 | END SUBROUTINE hbtm |
---|
768 | |
---|
769 | end module hbtm_mod |
---|