1 | |
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2 | ! $Header$ |
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3 | |
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4 | SUBROUTINE conccm(dtime, paprs, pplay, t, q, conv_q, d_t, d_q, rain, snow, & |
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5 | kbascm, ktopcm) |
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6 | |
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7 | USE dimphy |
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8 | USE yomcst_mod_h |
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9 | USE yoethf_mod_h |
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10 | IMPLICIT NONE |
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11 | ! ====================================================================== |
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12 | ! Auteur(s): Z.X. Li (LMD/CNRS) date: le 14 mars 1996 |
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13 | ! Objet: Schema simple (avec flux de masse) pour la convection |
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14 | ! (schema standard du modele NCAR CCM2) |
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15 | ! ====================================================================== |
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16 | |
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17 | ! Entree: |
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18 | REAL dtime ! pas d'integration |
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19 | REAL paprs(klon, klev+1) ! pression inter-couche (Pa) |
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20 | REAL pplay(klon, klev) ! pression au milieu de couche (Pa) |
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21 | REAL t(klon, klev) ! temperature (K) |
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22 | REAL q(klon, klev) ! humidite specifique (g/g) |
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23 | REAL conv_q(klon, klev) ! taux de convergence humidite (g/g/s) |
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24 | ! Sortie: |
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25 | REAL d_t(klon, klev) ! incrementation temperature |
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26 | REAL d_q(klon, klev) ! incrementation vapeur |
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27 | REAL rain(klon) ! pluie (mm/s) |
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28 | REAL snow(klon) ! neige (mm/s) |
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29 | INTEGER kbascm(klon) ! niveau du bas de convection |
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30 | INTEGER ktopcm(klon) ! niveau du haut de convection |
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31 | |
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32 | REAL pt(klon, klev) |
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33 | REAL pq(klon, klev) |
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34 | REAL pres(klon, klev) |
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35 | REAL dp(klon, klev) |
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36 | REAL zgeom(klon, klev) |
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37 | REAL cmfprs(klon) |
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38 | REAL cmfprt(klon) |
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39 | INTEGER ntop(klon) |
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40 | INTEGER nbas(klon) |
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41 | INTEGER i, k |
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42 | REAL zlvdcp, zlsdcp, zdelta, zz, za, zb |
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43 | |
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44 | LOGICAL usekuo ! utiliser convection profonde (schema Kuo) |
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45 | PARAMETER (usekuo=.TRUE.) |
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46 | |
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47 | REAL d_t_bis(klon, klev) |
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48 | REAL d_q_bis(klon, klev) |
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49 | REAL rain_bis(klon) |
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50 | REAL snow_bis(klon) |
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51 | INTEGER ibas_bis(klon) |
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52 | INTEGER itop_bis(klon) |
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53 | REAL d_ql_bis(klon, klev) |
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54 | REAL rneb_bis(klon, klev) |
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55 | |
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56 | ! initialiser les variables de sortie (pour securite) |
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57 | DO i = 1, klon |
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58 | rain(i) = 0.0 |
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59 | snow(i) = 0.0 |
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60 | kbascm(i) = 0 |
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61 | ktopcm(i) = 0 |
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62 | END DO |
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63 | DO k = 1, klev |
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64 | DO i = 1, klon |
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65 | d_t(i, k) = 0.0 |
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66 | d_q(i, k) = 0.0 |
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67 | END DO |
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68 | END DO |
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69 | |
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70 | ! preparer les variables d'entree (attention: l'ordre des niveaux |
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71 | ! verticaux augmente du haut vers le bas) |
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72 | DO k = 1, klev |
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73 | DO i = 1, klon |
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74 | pt(i, k) = t(i, klev-k+1) |
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75 | pq(i, k) = q(i, klev-k+1) |
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76 | pres(i, k) = pplay(i, klev-k+1) |
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77 | dp(i, k) = paprs(i, klev+1-k) - paprs(i, klev+1-k+1) |
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78 | END DO |
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79 | END DO |
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80 | DO i = 1, klon |
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81 | zgeom(i, klev) = rd*t(i, 1)/(0.5*(paprs(i,1)+pplay(i, & |
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82 | 1)))*(paprs(i,1)-pplay(i,1)) |
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83 | END DO |
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84 | DO k = 2, klev |
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85 | DO i = 1, klon |
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86 | zgeom(i, klev+1-k) = zgeom(i, klev+1-k+1) + rd*0.5*(t(i,k-1)+t(i,k))/ & |
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87 | paprs(i, k)*(pplay(i,k-1)-pplay(i,k)) |
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88 | END DO |
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89 | END DO |
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90 | |
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91 | CALL cmfmca(dtime, pres, dp, zgeom, pt, pq, cmfprt, cmfprs, ntop, nbas) |
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92 | |
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93 | DO k = 1, klev |
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94 | DO i = 1, klon |
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95 | d_q(i, klev+1-k) = pq(i, k) - q(i, klev+1-k) |
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96 | d_t(i, klev+1-k) = pt(i, k) - t(i, klev+1-k) |
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97 | END DO |
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98 | END DO |
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99 | |
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100 | DO i = 1, klon |
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101 | rain(i) = cmfprt(i)*rhoh2o |
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102 | snow(i) = cmfprs(i)*rhoh2o |
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103 | kbascm(i) = klev + 1 - nbas(i) |
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104 | ktopcm(i) = klev + 1 - ntop(i) |
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105 | END DO |
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106 | |
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107 | IF (usekuo) THEN |
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108 | CALL conkuo(dtime, paprs, pplay, t, q, conv_q, d_t_bis, d_q_bis, & |
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109 | d_ql_bis, rneb_bis, rain_bis, snow_bis, ibas_bis, itop_bis) |
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110 | DO k = 1, klev |
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111 | DO i = 1, klon |
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112 | d_t(i, k) = d_t(i, k) + d_t_bis(i, k) |
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113 | d_q(i, k) = d_q(i, k) + d_q_bis(i, k) |
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114 | END DO |
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115 | END DO |
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116 | DO i = 1, klon |
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117 | rain(i) = rain(i) + rain_bis(i) |
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118 | snow(i) = snow(i) + snow_bis(i) |
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119 | kbascm(i) = min(kbascm(i), ibas_bis(i)) |
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120 | ktopcm(i) = max(ktopcm(i), itop_bis(i)) |
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121 | END DO |
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122 | DO k = 1, klev ! eau liquide convective est |
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123 | DO i = 1, klon ! dispersee dans l'air |
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124 | zlvdcp = rlvtt/rcpd/(1.0+rvtmp2*q(i,k)) |
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125 | zlsdcp = rlstt/rcpd/(1.0+rvtmp2*q(i,k)) |
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126 | zdelta = max(0., sign(1.,rtt-t(i,k))) |
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127 | zz = d_ql_bis(i, k) ! re-evap. de l'eau liquide |
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128 | zb = max(0.0, zz) |
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129 | za = -max(0.0, zz)*(zlvdcp*(1.-zdelta)+zlsdcp*zdelta) |
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130 | d_t(i, k) = d_t(i, k) + za |
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131 | d_q(i, k) = d_q(i, k) + zb |
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132 | END DO |
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133 | END DO |
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134 | END IF |
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135 | |
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136 | RETURN |
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137 | END SUBROUTINE conccm |
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138 | SUBROUTINE cmfmca(deltat, p, dp, gz, tb, shb, cmfprt, cmfprs, cnt, cnb) |
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139 | USE dimphy |
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140 | USE yomcst_mod_h |
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141 | USE yoethf_mod_h |
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142 | IMPLICIT NONE |
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143 | ! ----------------------------------------------------------------------- |
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144 | ! Moist convective mass flux procedure: |
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145 | ! If stratification is unstable to nonentraining parcel ascent, |
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146 | ! complete an adjustment making use of a simple cloud model |
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147 | |
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148 | ! Code generalized to allow specification of parcel ("updraft") |
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149 | ! properties, as well as convective transport of an arbitrary |
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150 | ! number of passive constituents (see cmrb array). |
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151 | ! ----------------------------Code History------------------------------- |
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152 | ! Original version: J. J. Hack, March 22, 1990 |
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153 | ! Standardized: J. Rosinski, June 1992 |
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154 | ! Reviewed: J. Hack, G. Taylor, August 1992 |
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155 | ! Adaptation au LMD: Z.X. Li, mars 1996 (reference: Hack 1994, |
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156 | ! J. Geophys. Res. vol 99, D3, 5551-5568). J'ai |
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157 | ! introduit les constantes et les fonctions thermo- |
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158 | ! dynamiques du Centre Europeen. J'ai elimine le |
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159 | ! re-indicage du code en esperant que cela pourra |
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160 | ! simplifier la lecture et la comprehension. |
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161 | ! ----------------------------------------------------------------------- |
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162 | INTEGER pcnst ! nombre de traceurs passifs |
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163 | PARAMETER (pcnst=1) |
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164 | ! ------------------------------Arguments-------------------------------- |
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165 | ! Input arguments |
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166 | |
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167 | REAL deltat ! time step (seconds) |
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168 | REAL p(klon, klev) ! pressure |
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169 | REAL dp(klon, klev) ! delta-p |
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170 | REAL gz(klon, klev) ! geopotential (a partir du sol) |
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171 | |
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172 | REAL thtap(klon) ! PBL perturbation theta |
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173 | REAL shp(klon) ! PBL perturbation specific humidity |
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174 | REAL pblh(klon) ! PBL height (provided by PBL routine) |
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175 | REAL cmrp(klon, pcnst) ! constituent perturbations in PBL |
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176 | |
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177 | ! Updated arguments: |
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178 | |
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179 | REAL tb(klon, klev) ! temperature (t bar) |
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180 | REAL shb(klon, klev) ! specific humidity (sh bar) |
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181 | REAL cmrb(klon, klev, pcnst) ! constituent mixing ratios (cmr bar) |
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182 | |
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183 | ! Output arguments |
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184 | |
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185 | REAL cmfdt(klon, klev) ! dT/dt due to moist convection |
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186 | REAL cmfdq(klon, klev) ! dq/dt due to moist convection |
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187 | REAL cmfmc(klon, klev) ! moist convection cloud mass flux |
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188 | REAL cmfdqr(klon, klev) ! dq/dt due to convective rainout |
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189 | REAL cmfsl(klon, klev) ! convective lw static energy flux |
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190 | REAL cmflq(klon, klev) ! convective total water flux |
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191 | REAL cmfprt(klon) ! convective precipitation rate |
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192 | REAL cmfprs(klon) ! convective snowfall rate |
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193 | REAL qc(klon, klev) ! dq/dt due to rainout terms |
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194 | INTEGER cnt(klon) ! top level of convective activity |
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195 | INTEGER cnb(klon) ! bottom level of convective activity |
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196 | ! ------------------------------Parameters------------------------------- |
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197 | REAL c0 ! rain water autoconversion coefficient |
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198 | PARAMETER (c0=1.0E-4) |
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199 | REAL dzmin ! minimum convective depth for precipitation |
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200 | PARAMETER (dzmin=0.0) |
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201 | REAL betamn ! minimum overshoot parameter |
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202 | PARAMETER (betamn=0.10) |
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203 | REAL cmftau ! characteristic adjustment time scale |
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204 | PARAMETER (cmftau=3600.) |
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205 | INTEGER limcnv ! top interface level limit for convection |
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206 | PARAMETER (limcnv=1) |
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207 | REAL tpmax ! maximum acceptable t perturbation (degrees C) |
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208 | PARAMETER (tpmax=1.50) |
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209 | REAL shpmax ! maximum acceptable q perturbation (g/g) |
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210 | PARAMETER (shpmax=1.50E-3) |
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211 | REAL tiny ! arbitrary small num used in transport estimates |
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212 | PARAMETER (tiny=1.0E-36) |
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213 | REAL eps ! convergence criteria (machine dependent) |
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214 | PARAMETER (eps=1.0E-13) |
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215 | REAL tmelt ! freezing point of water(req'd for rain vs snow) |
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216 | PARAMETER (tmelt=273.15) |
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217 | REAL ssfac ! supersaturation bound (detrained air) |
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218 | PARAMETER (ssfac=1.001) |
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219 | |
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220 | ! ---------------------------Local workspace----------------------------- |
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221 | REAL gam(klon, klev) ! L/cp (d(qsat)/dT) |
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222 | REAL sb(klon, klev) ! dry static energy (s bar) |
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223 | REAL hb(klon, klev) ! moist static energy (h bar) |
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224 | REAL shbs(klon, klev) ! sat. specific humidity (sh bar star) |
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225 | REAL hbs(klon, klev) ! sat. moist static energy (h bar star) |
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226 | REAL shbh(klon, klev+1) ! specific humidity on interfaces |
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227 | REAL sbh(klon, klev+1) ! s bar on interfaces |
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228 | REAL hbh(klon, klev+1) ! h bar on interfaces |
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229 | REAL cmrh(klon, klev+1) ! interface constituent mixing ratio |
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230 | REAL prec(klon) ! instantaneous total precipitation |
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231 | REAL dzcld(klon) ! depth of convective layer (m) |
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232 | REAL beta(klon) ! overshoot parameter (fraction) |
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233 | REAL betamx ! local maximum on overshoot |
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234 | REAL eta(klon) ! convective mass flux (kg/m^2 s) |
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235 | REAL etagdt ! eta*grav*deltat |
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236 | REAL cldwtr(klon) ! cloud water (mass) |
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237 | REAL rnwtr(klon) ! rain water (mass) |
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238 | REAL sc(klon) ! dry static energy ("in-cloud") |
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239 | REAL shc(klon) ! specific humidity ("in-cloud") |
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240 | REAL hc(klon) ! moist static energy ("in-cloud") |
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241 | REAL cmrc(klon) ! constituent mix rat ("in-cloud") |
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242 | REAL dq1(klon) ! shb convective change (lower lvl) |
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243 | REAL dq2(klon) ! shb convective change (mid level) |
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244 | REAL dq3(klon) ! shb convective change (upper lvl) |
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245 | REAL ds1(klon) ! sb convective change (lower lvl) |
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246 | REAL ds2(klon) ! sb convective change (mid level) |
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247 | REAL ds3(klon) ! sb convective change (upper lvl) |
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248 | REAL dcmr1(klon) ! cmrb convective change (lower lvl) |
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249 | REAL dcmr2(klon) ! cmrb convective change (mid level) |
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250 | REAL dcmr3(klon) ! cmrb convective change (upper lvl) |
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251 | REAL flotab(klon) ! hc - hbs (mesure d'instabilite) |
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252 | LOGICAL ldcum(klon) ! .true. si la convection existe |
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253 | LOGICAL etagt0 ! true if eta > 0.0 |
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254 | REAL dt ! current 2 delta-t (model time step) |
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255 | REAL cats ! modified characteristic adj. time |
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256 | REAL rdt ! 1./dt |
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257 | REAL qprime ! modified specific humidity pert. |
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258 | REAL tprime ! modified thermal perturbation |
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259 | REAL pblhgt ! bounded pbl height (max[pblh,1m]) |
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260 | REAL fac1 ! intermediate scratch variable |
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261 | REAL shprme ! intermediate specific humidity pert. |
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262 | REAL qsattp ! saturation mixing ratio for |
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263 | ! ! thermally perturbed PBL parcels |
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264 | REAL dz ! local layer depth |
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265 | REAL b1 ! bouyancy measure in detrainment lvl |
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266 | REAL b2 ! bouyancy measure in condensation lvl |
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267 | REAL g ! bounded vertical gradient of hb |
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268 | REAL tmass ! total mass available for convective exchange |
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269 | REAL denom ! intermediate scratch variable |
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270 | REAL qtest1 ! used in negative q test (middle lvl) |
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271 | REAL qtest2 ! used in negative q test (lower lvl) |
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272 | REAL fslkp ! flux lw static energy (bot interface) |
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273 | REAL fslkm ! flux lw static energy (top interface) |
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274 | REAL fqlkp ! flux total water (bottom interface) |
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275 | REAL fqlkm ! flux total water (top interface) |
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276 | REAL botflx ! bottom constituent mixing ratio flux |
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277 | REAL topflx ! top constituent mixing ratio flux |
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278 | REAL efac1 ! ratio cmrb to convectively induced change (bot lvl) |
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279 | REAL efac2 ! ratio cmrb to convectively induced change (mid lvl) |
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280 | REAL efac3 ! ratio cmrb to convectively induced change (top lvl) |
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281 | |
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282 | INTEGER i, k ! indices horizontal et vertical |
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283 | INTEGER km1 ! k-1 (index offset) |
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284 | INTEGER kp1 ! k+1 (index offset) |
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285 | INTEGER m ! constituent index |
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286 | INTEGER ktp ! temporary index used to track top |
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287 | INTEGER is ! nombre de points a ajuster |
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288 | |
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289 | REAL tmp1, tmp2, tmp3, tmp4 |
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290 | REAL zx_t, zx_p, zx_q, zx_qs, zx_gam |
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291 | REAL zcor, zdelta, zcvm5 |
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292 | |
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293 | REAL qhalf, sh1, sh2, shbs1, shbs2 |
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294 | include "FCTTRE.h" |
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295 | qhalf(sh1, sh2, shbs1, shbs2) = min(max(sh1,sh2), & |
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296 | (shbs2*sh1+shbs1*sh2)/(shbs1+shbs2)) |
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297 | |
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298 | ! ----------------------------------------------------------------------- |
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299 | ! pas de traceur pour l'instant |
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300 | DO m = 1, pcnst |
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301 | DO k = 1, klev |
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302 | DO i = 1, klon |
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303 | cmrb(i, k, m) = 0.0 |
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304 | END DO |
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305 | END DO |
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306 | END DO |
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307 | |
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308 | ! Les perturbations de la couche limite sont zero pour l'instant |
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309 | |
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310 | DO m = 1, pcnst |
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311 | DO i = 1, klon |
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312 | cmrp(i, m) = 0.0 |
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313 | END DO |
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314 | END DO |
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315 | DO i = 1, klon |
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316 | thtap(i) = 0.0 |
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317 | shp(i) = 0.0 |
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318 | pblh(i) = 1.0 |
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319 | END DO |
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320 | |
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321 | ! Ensure that characteristic adjustment time scale (cmftau) assumed |
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322 | ! in estimate of eta isn't smaller than model time scale (deltat) |
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323 | |
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324 | dt = deltat |
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325 | cats = max(dt, cmftau) |
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326 | rdt = 1.0/dt |
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327 | |
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328 | ! Compute sb,hb,shbs,hbs |
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329 | |
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330 | DO k = 1, klev |
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331 | DO i = 1, klon |
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332 | zx_t = tb(i, k) |
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333 | zx_p = p(i, k) |
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334 | zx_q = shb(i, k) |
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335 | zdelta = max(0., sign(1.,rtt-zx_t)) |
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336 | zcvm5 = r5les*rlvtt*(1.-zdelta) + r5ies*rlstt*zdelta |
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337 | zcvm5 = zcvm5/rcpd/(1.0+rvtmp2*zx_q) |
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338 | zx_qs = r2es*foeew(zx_t, zdelta)/zx_p |
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339 | zx_qs = min(0.5, zx_qs) |
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340 | zcor = 1./(1.-retv*zx_qs) |
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341 | zx_qs = zx_qs*zcor |
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342 | zx_gam = foede(zx_t, zdelta, zcvm5, zx_qs, zcor) |
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343 | shbs(i, k) = zx_qs |
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344 | gam(i, k) = zx_gam |
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345 | END DO |
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346 | END DO |
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347 | |
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348 | DO k = limcnv, klev |
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349 | DO i = 1, klon |
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350 | sb(i, k) = rcpd*tb(i, k) + gz(i, k) |
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351 | hb(i, k) = sb(i, k) + rlvtt*shb(i, k) |
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352 | hbs(i, k) = sb(i, k) + rlvtt*shbs(i, k) |
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353 | END DO |
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354 | END DO |
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355 | |
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356 | ! Compute sbh, shbh |
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357 | |
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358 | DO k = limcnv + 1, klev |
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359 | km1 = k - 1 |
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360 | DO i = 1, klon |
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361 | sbh(i, k) = 0.5*(sb(i,km1)+sb(i,k)) |
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362 | shbh(i, k) = qhalf(shb(i,km1), shb(i,k), shbs(i,km1), shbs(i,k)) |
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363 | hbh(i, k) = sbh(i, k) + rlvtt*shbh(i, k) |
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364 | END DO |
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365 | END DO |
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366 | |
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367 | ! Specify properties at top of model (not used, but filling anyway) |
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368 | |
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369 | DO i = 1, klon |
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370 | sbh(i, limcnv) = sb(i, limcnv) |
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371 | shbh(i, limcnv) = shb(i, limcnv) |
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372 | hbh(i, limcnv) = hb(i, limcnv) |
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373 | END DO |
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374 | |
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375 | ! Zero vertically independent control, tendency & diagnostic arrays |
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376 | |
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377 | DO i = 1, klon |
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378 | prec(i) = 0.0 |
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379 | dzcld(i) = 0.0 |
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380 | cnb(i) = 0 |
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381 | cnt(i) = klev + 1 |
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382 | END DO |
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383 | |
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384 | DO k = 1, klev |
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385 | DO i = 1, klon |
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386 | cmfdt(i, k) = 0. |
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387 | cmfdq(i, k) = 0. |
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388 | cmfdqr(i, k) = 0. |
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389 | cmfmc(i, k) = 0. |
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390 | cmfsl(i, k) = 0. |
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391 | cmflq(i, k) = 0. |
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392 | END DO |
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393 | END DO |
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394 | |
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395 | ! Begin moist convective mass flux adjustment procedure. |
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396 | ! Formalism ensures that negative cloud liquid water can never occur |
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397 | |
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398 | DO k = klev - 1, limcnv + 1, -1 |
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399 | km1 = k - 1 |
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400 | kp1 = k + 1 |
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401 | DO i = 1, klon |
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402 | eta(i) = 0.0 |
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403 | beta(i) = 0.0 |
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404 | ds1(i) = 0.0 |
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405 | ds2(i) = 0.0 |
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406 | ds3(i) = 0.0 |
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407 | dq1(i) = 0.0 |
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408 | dq2(i) = 0.0 |
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409 | dq3(i) = 0.0 |
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410 | |
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411 | ! Specification of "cloud base" conditions |
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412 | |
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413 | qprime = 0.0 |
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414 | tprime = 0.0 |
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415 | |
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416 | ! Assign tprime within the PBL to be proportional to the quantity |
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417 | ! thtap (which will be bounded by tpmax), passed to this routine by |
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418 | ! the PBL routine. Don't allow perturbation to produce a dry |
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419 | ! adiabatically unstable parcel. Assign qprime within the PBL to be |
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420 | ! an appropriately modified value of the quantity shp (which will be |
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421 | ! bounded by shpmax) passed to this routine by the PBL routine. The |
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422 | ! quantity qprime should be less than the local saturation value |
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423 | ! (qsattp=qsat[t+tprime,p]). In both cases, thtap and shp are |
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424 | ! linearly reduced toward zero as the PBL top is approached. |
---|
425 | |
---|
426 | pblhgt = max(pblh(i), 1.0) |
---|
427 | IF (gz(i,kp1)/rg<=pblhgt .AND. dzcld(i)==0.0) THEN |
---|
428 | fac1 = max(0.0, 1.0-gz(i,kp1)/rg/pblhgt) |
---|
429 | tprime = min(thtap(i), tpmax)*fac1 |
---|
430 | qsattp = shbs(i, kp1) + rcpd/rlvtt*gam(i, kp1)*tprime |
---|
431 | shprme = min(min(shp(i),shpmax)*fac1, max(qsattp-shb(i,kp1),0.0)) |
---|
432 | qprime = max(qprime, shprme) |
---|
433 | ELSE |
---|
434 | tprime = 0.0 |
---|
435 | qprime = 0.0 |
---|
436 | END IF |
---|
437 | |
---|
438 | ! Specify "updraft" (in-cloud) thermodynamic properties |
---|
439 | |
---|
440 | sc(i) = sb(i, kp1) + rcpd*tprime |
---|
441 | shc(i) = shb(i, kp1) + qprime |
---|
442 | hc(i) = sc(i) + rlvtt*shc(i) |
---|
443 | flotab(i) = hc(i) - hbs(i, k) |
---|
444 | dz = dp(i, k)*rd*tb(i, k)/rg/p(i, k) |
---|
445 | IF (flotab(i)>0.0) THEN |
---|
446 | dzcld(i) = dzcld(i) + dz |
---|
447 | ELSE |
---|
448 | dzcld(i) = 0.0 |
---|
449 | END IF |
---|
450 | END DO |
---|
451 | |
---|
452 | ! Check on moist convective instability |
---|
453 | |
---|
454 | is = 0 |
---|
455 | DO i = 1, klon |
---|
456 | IF (flotab(i)>0.0) THEN |
---|
457 | ldcum(i) = .TRUE. |
---|
458 | is = is + 1 |
---|
459 | ELSE |
---|
460 | ldcum(i) = .FALSE. |
---|
461 | END IF |
---|
462 | END DO |
---|
463 | |
---|
464 | IF (is==0) THEN |
---|
465 | DO i = 1, klon |
---|
466 | dzcld(i) = 0.0 |
---|
467 | END DO |
---|
468 | GO TO 70 |
---|
469 | END IF |
---|
470 | |
---|
471 | ! Current level just below top level => no overshoot |
---|
472 | |
---|
473 | IF (k<=limcnv+1) THEN |
---|
474 | DO i = 1, klon |
---|
475 | IF (ldcum(i)) THEN |
---|
476 | cldwtr(i) = sb(i, k) - sc(i) + flotab(i)/(1.0+gam(i,k)) |
---|
477 | cldwtr(i) = max(0.0, cldwtr(i)) |
---|
478 | beta(i) = 0.0 |
---|
479 | END IF |
---|
480 | END DO |
---|
481 | GO TO 20 |
---|
482 | END IF |
---|
483 | |
---|
484 | ! First guess at overshoot parameter using crude buoyancy closure |
---|
485 | ! 10% overshoot assumed as a minimum and 1-c0*dz maximum to start |
---|
486 | ! If pre-existing supersaturation in detrainment layer, beta=0 |
---|
487 | ! cldwtr is temporarily equal to RLVTT*l (l=> liquid water) |
---|
488 | |
---|
489 | DO i = 1, klon |
---|
490 | IF (ldcum(i)) THEN |
---|
491 | cldwtr(i) = sb(i, k) - sc(i) + flotab(i)/(1.0+gam(i,k)) |
---|
492 | cldwtr(i) = max(0.0, cldwtr(i)) |
---|
493 | betamx = 1.0 - c0*max(0.0, (dzcld(i)-dzmin)) |
---|
494 | b1 = (hc(i)-hbs(i,km1))*dp(i, km1) |
---|
495 | b2 = (hc(i)-hbs(i,k))*dp(i, k) |
---|
496 | beta(i) = max(betamn, min(betamx,1.0+b1/b2)) |
---|
497 | IF (hbs(i,km1)<=hb(i,km1)) beta(i) = 0.0 |
---|
498 | END IF |
---|
499 | END DO |
---|
500 | |
---|
501 | ! Bound maximum beta to ensure physically realistic solutions |
---|
502 | |
---|
503 | ! First check constrains beta so that eta remains positive |
---|
504 | ! (assuming that eta is already positive for beta equal zero) |
---|
505 | ! La premiere contrainte de beta est que le flux eta doit etre positif. |
---|
506 | |
---|
507 | DO i = 1, klon |
---|
508 | IF (ldcum(i)) THEN |
---|
509 | tmp1 = (1.0+gam(i,k))*(sc(i)-sbh(i,kp1)+cldwtr(i)) - & |
---|
510 | (hbh(i,kp1)-hc(i))*dp(i, k)/dp(i, kp1) |
---|
511 | tmp2 = (1.0+gam(i,k))*(sc(i)-sbh(i,k)) |
---|
512 | IF ((beta(i)*tmp2-tmp1)>0.0) THEN |
---|
513 | betamx = 0.99*(tmp1/tmp2) |
---|
514 | beta(i) = max(0.0, min(betamx,beta(i))) |
---|
515 | END IF |
---|
516 | |
---|
517 | ! Second check involves supersaturation of "detrainment layer" |
---|
518 | ! small amount of supersaturation acceptable (by ssfac factor) |
---|
519 | ! La 2e contrainte est que la convection ne doit pas sursaturer |
---|
520 | ! la "detrainment layer", Neanmoins, une petite sursaturation |
---|
521 | ! est acceptee (facteur ssfac). |
---|
522 | |
---|
523 | IF (hb(i,km1)<hbs(i,km1)) THEN |
---|
524 | tmp1 = (1.0+gam(i,k))*(sc(i)-sbh(i,kp1)+cldwtr(i)) - & |
---|
525 | (hbh(i,kp1)-hc(i))*dp(i, k)/dp(i, kp1) |
---|
526 | tmp1 = tmp1/dp(i, k) |
---|
527 | tmp2 = gam(i, km1)*(sbh(i,k)-sc(i)+cldwtr(i)) - hbh(i, k) + hc(i) - & |
---|
528 | sc(i) + sbh(i, k) |
---|
529 | tmp3 = (1.0+gam(i,k))*(sc(i)-sbh(i,k))/dp(i, k) |
---|
530 | tmp4 = (dt/cats)*(hc(i)-hbs(i,k))*tmp2/(dp(i,km1)*(hbs(i,km1)-hb(i, & |
---|
531 | km1))) + tmp3 |
---|
532 | IF ((beta(i)*tmp4-tmp1)>0.0) THEN |
---|
533 | betamx = ssfac*(tmp1/tmp4) |
---|
534 | beta(i) = max(0.0, min(betamx,beta(i))) |
---|
535 | END IF |
---|
536 | ELSE |
---|
537 | beta(i) = 0.0 |
---|
538 | END IF |
---|
539 | |
---|
540 | ! Third check to avoid introducing 2 delta x thermodynamic |
---|
541 | ! noise in the vertical ... constrain adjusted h (or theta e) |
---|
542 | ! so that the adjustment doesn't contribute to "kinks" in h |
---|
543 | |
---|
544 | g = min(0.0, hb(i,k)-hb(i,km1)) |
---|
545 | tmp3 = (hb(i,k)-hb(i,km1)-g)*(cats/dt)/(hc(i)-hbs(i,k)) |
---|
546 | tmp1 = (1.0+gam(i,k))*(sc(i)-sbh(i,kp1)+cldwtr(i)) - & |
---|
547 | (hbh(i,kp1)-hc(i))*dp(i, k)/dp(i, kp1) |
---|
548 | tmp1 = tmp1/dp(i, k) |
---|
549 | tmp1 = tmp3*tmp1 + (hc(i)-hbh(i,kp1))/dp(i, k) |
---|
550 | tmp2 = tmp3*(1.0+gam(i,k))*(sc(i)-sbh(i,k))/dp(i, k) + & |
---|
551 | (hc(i)-hbh(i,k)-cldwtr(i))*(1.0/dp(i,k)+1.0/dp(i,kp1)) |
---|
552 | IF ((beta(i)*tmp2-tmp1)>0.0) THEN |
---|
553 | betamx = 0.0 |
---|
554 | IF (tmp2/=0.0) betamx = tmp1/tmp2 |
---|
555 | beta(i) = max(0.0, min(betamx,beta(i))) |
---|
556 | END IF |
---|
557 | END IF |
---|
558 | END DO |
---|
559 | |
---|
560 | ! Calculate mass flux required for stabilization. |
---|
561 | |
---|
562 | ! Ensure that the convective mass flux, eta, is positive by |
---|
563 | ! setting negative values of eta to zero.. |
---|
564 | ! Ensure that estimated mass flux cannot move more than the |
---|
565 | ! minimum of total mass contained in either layer k or layer k+1. |
---|
566 | ! Also test for other pathological cases that result in non- |
---|
567 | ! physical states and adjust eta accordingly. |
---|
568 | |
---|
569 | 20 CONTINUE |
---|
570 | DO i = 1, klon |
---|
571 | IF (ldcum(i)) THEN |
---|
572 | beta(i) = max(0.0, beta(i)) |
---|
573 | tmp1 = hc(i) - hbs(i, k) |
---|
574 | tmp2 = ((1.0+gam(i,k))*(sc(i)-sbh(i,kp1)+cldwtr(i))-beta(i)*(1.0+gam( & |
---|
575 | i,k))*(sc(i)-sbh(i,k)))/dp(i, k) - (hbh(i,kp1)-hc(i))/dp(i, kp1) |
---|
576 | eta(i) = tmp1/(tmp2*rg*cats) |
---|
577 | tmass = min(dp(i,k), dp(i,kp1))/rg |
---|
578 | IF (eta(i)>tmass*rdt .OR. eta(i)<=0.0) eta(i) = 0.0 |
---|
579 | |
---|
580 | ! Check on negative q in top layer (bound beta) |
---|
581 | |
---|
582 | IF (shc(i)-shbh(i,k)<0.0 .AND. beta(i)*eta(i)/=0.0) THEN |
---|
583 | denom = eta(i)*rg*dt*(shc(i)-shbh(i,k))/dp(i, km1) |
---|
584 | beta(i) = max(0.0, min(-0.999*shb(i,km1)/denom,beta(i))) |
---|
585 | END IF |
---|
586 | |
---|
587 | ! Check on negative q in middle layer (zero eta) |
---|
588 | |
---|
589 | qtest1 = shb(i, k) + eta(i)*rg*dt*((shc(i)-shbh(i, & |
---|
590 | kp1))-(1.0-beta(i))*cldwtr(i)/rlvtt-beta(i)*(shc(i)-shbh(i, & |
---|
591 | k)))/dp(i, k) |
---|
592 | IF (qtest1<=0.0) eta(i) = 0.0 |
---|
593 | |
---|
594 | ! Check on negative q in lower layer (bound eta) |
---|
595 | |
---|
596 | fac1 = -(shbh(i,kp1)-shc(i))/dp(i, kp1) |
---|
597 | qtest2 = shb(i, kp1) - eta(i)*rg*dt*fac1 |
---|
598 | IF (qtest2<0.0) THEN |
---|
599 | eta(i) = 0.99*shb(i, kp1)/(rg*dt*fac1) |
---|
600 | END IF |
---|
601 | END IF |
---|
602 | END DO |
---|
603 | |
---|
604 | |
---|
605 | ! Calculate cloud water, rain water, and thermodynamic changes |
---|
606 | |
---|
607 | DO i = 1, klon |
---|
608 | IF (ldcum(i)) THEN |
---|
609 | etagdt = eta(i)*rg*dt |
---|
610 | cldwtr(i) = etagdt*cldwtr(i)/rlvtt/rg |
---|
611 | rnwtr(i) = (1.0-beta(i))*cldwtr(i) |
---|
612 | ds1(i) = etagdt*(sbh(i,kp1)-sc(i))/dp(i, kp1) |
---|
613 | dq1(i) = etagdt*(shbh(i,kp1)-shc(i))/dp(i, kp1) |
---|
614 | ds2(i) = (etagdt*(sc(i)-sbh(i,kp1))+rlvtt*rg*cldwtr(i)-beta(i)*etagdt & |
---|
615 | *(sc(i)-sbh(i,k)))/dp(i, k) |
---|
616 | dq2(i) = (etagdt*(shc(i)-shbh(i,kp1))-rg*rnwtr(i)-beta(i)*etagdt*(shc & |
---|
617 | (i)-shbh(i,k)))/dp(i, k) |
---|
618 | ds3(i) = beta(i)*(etagdt*(sc(i)-sbh(i,k))-rlvtt*rg*cldwtr(i))/dp(i, & |
---|
619 | km1) |
---|
620 | dq3(i) = beta(i)*etagdt*(shc(i)-shbh(i,k))/dp(i, km1) |
---|
621 | |
---|
622 | ! Isolate convective fluxes for later diagnostics |
---|
623 | |
---|
624 | fslkp = eta(i)*(sc(i)-sbh(i,kp1)) |
---|
625 | fslkm = beta(i)*(eta(i)*(sc(i)-sbh(i,k))-rlvtt*cldwtr(i)*rdt) |
---|
626 | fqlkp = eta(i)*(shc(i)-shbh(i,kp1)) |
---|
627 | fqlkm = beta(i)*eta(i)*(shc(i)-shbh(i,k)) |
---|
628 | |
---|
629 | |
---|
630 | ! Update thermodynamic profile (update sb, hb, & hbs later) |
---|
631 | |
---|
632 | tb(i, kp1) = tb(i, kp1) + ds1(i)/rcpd |
---|
633 | tb(i, k) = tb(i, k) + ds2(i)/rcpd |
---|
634 | tb(i, km1) = tb(i, km1) + ds3(i)/rcpd |
---|
635 | shb(i, kp1) = shb(i, kp1) + dq1(i) |
---|
636 | shb(i, k) = shb(i, k) + dq2(i) |
---|
637 | shb(i, km1) = shb(i, km1) + dq3(i) |
---|
638 | prec(i) = prec(i) + rnwtr(i)/rhoh2o |
---|
639 | |
---|
640 | ! Update diagnostic information for final budget |
---|
641 | ! Tracking temperature & specific humidity tendencies, |
---|
642 | ! rainout term, convective mass flux, convective liquid |
---|
643 | ! water static energy flux, and convective total water flux |
---|
644 | |
---|
645 | cmfdt(i, kp1) = cmfdt(i, kp1) + ds1(i)/rcpd*rdt |
---|
646 | cmfdt(i, k) = cmfdt(i, k) + ds2(i)/rcpd*rdt |
---|
647 | cmfdt(i, km1) = cmfdt(i, km1) + ds3(i)/rcpd*rdt |
---|
648 | cmfdq(i, kp1) = cmfdq(i, kp1) + dq1(i)*rdt |
---|
649 | cmfdq(i, k) = cmfdq(i, k) + dq2(i)*rdt |
---|
650 | cmfdq(i, km1) = cmfdq(i, km1) + dq3(i)*rdt |
---|
651 | cmfdqr(i, k) = cmfdqr(i, k) + (rg*rnwtr(i)/dp(i,k))*rdt |
---|
652 | cmfmc(i, kp1) = cmfmc(i, kp1) + eta(i) |
---|
653 | cmfmc(i, k) = cmfmc(i, k) + beta(i)*eta(i) |
---|
654 | cmfsl(i, kp1) = cmfsl(i, kp1) + fslkp |
---|
655 | cmfsl(i, k) = cmfsl(i, k) + fslkm |
---|
656 | cmflq(i, kp1) = cmflq(i, kp1) + rlvtt*fqlkp |
---|
657 | cmflq(i, k) = cmflq(i, k) + rlvtt*fqlkm |
---|
658 | qc(i, k) = (rg*rnwtr(i)/dp(i,k))*rdt |
---|
659 | END IF |
---|
660 | END DO |
---|
661 | |
---|
662 | ! Next, convectively modify passive constituents |
---|
663 | |
---|
664 | DO m = 1, pcnst |
---|
665 | DO i = 1, klon |
---|
666 | IF (ldcum(i)) THEN |
---|
667 | |
---|
668 | ! If any of the reported values of the constituent is negative in |
---|
669 | ! the three adjacent levels, nothing will be done to the profile |
---|
670 | |
---|
671 | IF ((cmrb(i,kp1,m)<0.0) .OR. (cmrb(i,k,m)<0.0) .OR. (cmrb(i,km1, & |
---|
672 | m)<0.0)) GO TO 40 |
---|
673 | |
---|
674 | ! Specify constituent interface values (linear interpolation) |
---|
675 | |
---|
676 | cmrh(i, k) = 0.5*(cmrb(i,km1,m)+cmrb(i,k,m)) |
---|
677 | cmrh(i, kp1) = 0.5*(cmrb(i,k,m)+cmrb(i,kp1,m)) |
---|
678 | |
---|
679 | ! Specify perturbation properties of constituents in PBL |
---|
680 | |
---|
681 | pblhgt = max(pblh(i), 1.0) |
---|
682 | IF (gz(i,kp1)/rg<=pblhgt .AND. dzcld(i)==0.) THEN |
---|
683 | fac1 = max(0.0, 1.0-gz(i,kp1)/rg/pblhgt) |
---|
684 | cmrc(i) = cmrb(i, kp1, m) + cmrp(i, m)*fac1 |
---|
685 | ELSE |
---|
686 | cmrc(i) = cmrb(i, kp1, m) |
---|
687 | END IF |
---|
688 | |
---|
689 | ! Determine fluxes, flux divergence => changes due to convection |
---|
690 | ! Logic must be included to avoid producing negative values. A bit |
---|
691 | ! messy since there are no a priori assumptions about profiles. |
---|
692 | ! Tendency is modified (reduced) when pending disaster detected. |
---|
693 | |
---|
694 | etagdt = eta(i)*rg*dt |
---|
695 | botflx = etagdt*(cmrc(i)-cmrh(i,kp1)) |
---|
696 | topflx = beta(i)*etagdt*(cmrc(i)-cmrh(i,k)) |
---|
697 | dcmr1(i) = -botflx/dp(i, kp1) |
---|
698 | efac1 = 1.0 |
---|
699 | efac2 = 1.0 |
---|
700 | efac3 = 1.0 |
---|
701 | |
---|
702 | IF (cmrb(i,kp1,m)+dcmr1(i)<0.0) THEN |
---|
703 | efac1 = max(tiny, abs(cmrb(i,kp1,m)/dcmr1(i))-eps) |
---|
704 | END IF |
---|
705 | |
---|
706 | IF (efac1==tiny .OR. efac1>1.0) efac1 = 0.0 |
---|
707 | dcmr1(i) = -efac1*botflx/dp(i, kp1) |
---|
708 | dcmr2(i) = (efac1*botflx-topflx)/dp(i, k) |
---|
709 | |
---|
710 | IF (cmrb(i,k,m)+dcmr2(i)<0.0) THEN |
---|
711 | efac2 = max(tiny, abs(cmrb(i,k,m)/dcmr2(i))-eps) |
---|
712 | END IF |
---|
713 | |
---|
714 | IF (efac2==tiny .OR. efac2>1.0) efac2 = 0.0 |
---|
715 | dcmr2(i) = (efac1*botflx-efac2*topflx)/dp(i, k) |
---|
716 | dcmr3(i) = efac2*topflx/dp(i, km1) |
---|
717 | |
---|
718 | IF (cmrb(i,km1,m)+dcmr3(i)<0.0) THEN |
---|
719 | efac3 = max(tiny, abs(cmrb(i,km1,m)/dcmr3(i))-eps) |
---|
720 | END IF |
---|
721 | |
---|
722 | IF (efac3==tiny .OR. efac3>1.0) efac3 = 0.0 |
---|
723 | efac3 = min(efac2, efac3) |
---|
724 | dcmr2(i) = (efac1*botflx-efac3*topflx)/dp(i, k) |
---|
725 | dcmr3(i) = efac3*topflx/dp(i, km1) |
---|
726 | |
---|
727 | cmrb(i, kp1, m) = cmrb(i, kp1, m) + dcmr1(i) |
---|
728 | cmrb(i, k, m) = cmrb(i, k, m) + dcmr2(i) |
---|
729 | cmrb(i, km1, m) = cmrb(i, km1, m) + dcmr3(i) |
---|
730 | END IF |
---|
731 | 40 END DO |
---|
732 | END DO ! end of m=1,pcnst loop |
---|
733 | |
---|
734 | IF (k==limcnv+1) GO TO 60 ! on ne pourra plus glisser |
---|
735 | |
---|
736 | ! Dans la procedure de glissage ascendant, les variables thermo- |
---|
737 | ! dynamiques des couches k et km1 servent au calcul des couches |
---|
738 | ! superieures. Elles ont donc besoin d'une mise-a-jour. |
---|
739 | |
---|
740 | DO i = 1, klon |
---|
741 | IF (ldcum(i)) THEN |
---|
742 | zx_t = tb(i, k) |
---|
743 | zx_p = p(i, k) |
---|
744 | zx_q = shb(i, k) |
---|
745 | zdelta = max(0., sign(1.,rtt-zx_t)) |
---|
746 | zcvm5 = r5les*rlvtt*(1.-zdelta) + r5ies*rlstt*zdelta |
---|
747 | zcvm5 = zcvm5/rcpd/(1.0+rvtmp2*zx_q) |
---|
748 | zx_qs = r2es*foeew(zx_t, zdelta)/zx_p |
---|
749 | zx_qs = min(0.5, zx_qs) |
---|
750 | zcor = 1./(1.-retv*zx_qs) |
---|
751 | zx_qs = zx_qs*zcor |
---|
752 | zx_gam = foede(zx_t, zdelta, zcvm5, zx_qs, zcor) |
---|
753 | shbs(i, k) = zx_qs |
---|
754 | gam(i, k) = zx_gam |
---|
755 | |
---|
756 | zx_t = tb(i, km1) |
---|
757 | zx_p = p(i, km1) |
---|
758 | zx_q = shb(i, km1) |
---|
759 | zdelta = max(0., sign(1.,rtt-zx_t)) |
---|
760 | zcvm5 = r5les*rlvtt*(1.-zdelta) + r5ies*rlstt*zdelta |
---|
761 | zcvm5 = zcvm5/rcpd/(1.0+rvtmp2*zx_q) |
---|
762 | zx_qs = r2es*foeew(zx_t, zdelta)/zx_p |
---|
763 | zx_qs = min(0.5, zx_qs) |
---|
764 | zcor = 1./(1.-retv*zx_qs) |
---|
765 | zx_qs = zx_qs*zcor |
---|
766 | zx_gam = foede(zx_t, zdelta, zcvm5, zx_qs, zcor) |
---|
767 | shbs(i, km1) = zx_qs |
---|
768 | gam(i, km1) = zx_gam |
---|
769 | |
---|
770 | sb(i, k) = sb(i, k) + ds2(i) |
---|
771 | sb(i, km1) = sb(i, km1) + ds3(i) |
---|
772 | hb(i, k) = sb(i, k) + rlvtt*shb(i, k) |
---|
773 | hb(i, km1) = sb(i, km1) + rlvtt*shb(i, km1) |
---|
774 | hbs(i, k) = sb(i, k) + rlvtt*shbs(i, k) |
---|
775 | hbs(i, km1) = sb(i, km1) + rlvtt*shbs(i, km1) |
---|
776 | |
---|
777 | sbh(i, k) = 0.5*(sb(i,k)+sb(i,km1)) |
---|
778 | shbh(i, k) = qhalf(shb(i,km1), shb(i,k), shbs(i,km1), shbs(i,k)) |
---|
779 | hbh(i, k) = sbh(i, k) + rlvtt*shbh(i, k) |
---|
780 | sbh(i, km1) = 0.5*(sb(i,km1)+sb(i,k-2)) |
---|
781 | shbh(i, km1) = qhalf(shb(i,k-2), shb(i,km1), shbs(i,k-2), & |
---|
782 | shbs(i,km1)) |
---|
783 | hbh(i, km1) = sbh(i, km1) + rlvtt*shbh(i, km1) |
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784 | END IF |
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785 | END DO |
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786 | |
---|
787 | ! Ensure that dzcld is reset if convective mass flux zero |
---|
788 | ! specify the current vertical extent of the convective activity |
---|
789 | ! top of convective layer determined by size of overshoot param. |
---|
790 | |
---|
791 | 60 CONTINUE |
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792 | DO i = 1, klon |
---|
793 | etagt0 = eta(i) > 0.0 |
---|
794 | IF (.NOT. etagt0) dzcld(i) = 0.0 |
---|
795 | IF (etagt0 .AND. beta(i)>betamn) THEN |
---|
796 | ktp = km1 |
---|
797 | ELSE |
---|
798 | ktp = k |
---|
799 | END IF |
---|
800 | IF (etagt0) THEN |
---|
801 | cnt(i) = min(cnt(i), ktp) |
---|
802 | cnb(i) = max(cnb(i), k) |
---|
803 | END IF |
---|
804 | END DO |
---|
805 | 70 END DO ! end of k loop |
---|
806 | |
---|
807 | ! determine whether precipitation, prec, is frozen (snow) or not |
---|
808 | |
---|
809 | DO i = 1, klon |
---|
810 | IF (tb(i,klev)<tmelt .AND. tb(i,klev-1)<tmelt) THEN |
---|
811 | cmfprs(i) = prec(i)*rdt |
---|
812 | ELSE |
---|
813 | cmfprt(i) = prec(i)*rdt |
---|
814 | END IF |
---|
815 | END DO |
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816 | |
---|
817 | RETURN ! we're all done ... return to calling procedure |
---|
818 | END SUBROUTINE cmfmca |
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