1 | SUBROUTINE conccm (dtime,paprs,pplay,t,q,conv_q, |
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2 | s d_t, d_q, rain, snow, kbascm, ktopcm) |
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3 | c |
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4 | IMPLICIT none |
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5 | c====================================================================== |
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6 | c Auteur(s): Z.X. Li (LMD/CNRS) date: le 14 mars 1996 |
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7 | c Objet: Schema simple (avec flux de masse) pour la convection |
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8 | c (schema standard du modele NCAR CCM2) |
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9 | c====================================================================== |
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10 | #include "dimensions.h" |
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11 | #include "dimphy.h" |
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12 | #include "YOMCST.h" |
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13 | #include "YOETHF.h" |
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14 | c |
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15 | c Entree: |
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16 | REAL dtime ! pas d'integration |
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17 | REAL paprs(klon,klev+1) ! pression inter-couche (Pa) |
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18 | REAL pplay(klon,klev) ! pression au milieu de couche (Pa) |
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19 | REAL t(klon,klev) ! temperature (K) |
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20 | REAL q(klon,klev) ! humidite specifique (g/g) |
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21 | REAL conv_q(klon,klev) ! taux de convergence humidite (g/g/s) |
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22 | c Sortie: |
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23 | REAL d_t(klon,klev) ! incrementation temperature |
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24 | REAL d_q(klon,klev) ! incrementation vapeur |
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25 | REAL rain(klon) ! pluie (mm/s) |
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26 | REAL snow(klon) ! neige (mm/s) |
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27 | INTEGER kbascm(klon) ! niveau du bas de convection |
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28 | INTEGER ktopcm(klon) ! niveau du haut de convection |
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29 | c |
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30 | REAL pt(klon,klev) |
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31 | REAL pq(klon,klev) |
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32 | REAL pres(klon,klev) |
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33 | REAL dp(klon,klev) |
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34 | REAL zgeom(klon,klev) |
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35 | REAL cmfprs(klon) |
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36 | REAL cmfprt(klon) |
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37 | INTEGER ntop(klon) |
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38 | INTEGER nbas(klon) |
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39 | INTEGER i, k |
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40 | REAL zlvdcp, zlsdcp, zdelta, zz, za, zb |
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41 | c |
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42 | LOGICAL usekuo ! utiliser convection profonde (schema Kuo) |
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43 | PARAMETER (usekuo=.TRUE.) |
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44 | c |
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45 | REAL d_t_bis(klon,klev) |
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46 | REAL d_q_bis(klon,klev) |
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47 | REAL rain_bis(klon) |
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48 | REAL snow_bis(klon) |
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49 | INTEGER ibas_bis(klon) |
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50 | INTEGER itop_bis(klon) |
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51 | REAL d_ql_bis(klon,klev) |
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52 | REAL rneb_bis(klon,klev) |
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53 | c |
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54 | c initialiser les variables de sortie (pour securite) |
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55 | DO i = 1, klon |
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56 | rain(i) = 0.0 |
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57 | snow(i) = 0.0 |
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58 | kbascm(i) = 0 |
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59 | ktopcm(i) = 0 |
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60 | ENDDO |
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61 | DO k = 1, klev |
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62 | DO i = 1, klon |
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63 | d_t(i,k) = 0.0 |
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64 | d_q(i,k) = 0.0 |
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65 | ENDDO |
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66 | ENDDO |
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67 | c |
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68 | c preparer les variables d'entree (attention: l'ordre des niveaux |
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69 | c verticaux augmente du haut vers le bas) |
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70 | DO k = 1, klev |
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71 | DO i = 1, klon |
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72 | pt(i,k) = t(i,klev-k+1) |
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73 | pq(i,k) = q(i,klev-k+1) |
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74 | pres(i,k) = pplay(i,klev-k+1) |
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75 | dp(i,k) = paprs(i,klev+1-k)-paprs(i,klev+1-k+1) |
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76 | ENDDO |
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77 | ENDDO |
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78 | DO i = 1, klon |
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79 | zgeom(i,klev) = RD * t(i,1) / (0.5*(paprs(i,1)+pplay(i,1))) |
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80 | . * (paprs(i,1)-pplay(i,1)) |
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81 | ENDDO |
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82 | DO k = 2, klev |
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83 | DO i = 1, klon |
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84 | zgeom(i,klev+1-k) = zgeom(i,klev+1-k+1) |
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85 | . + RD * 0.5*(t(i,k-1)+t(i,k)) / paprs(i,k) |
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86 | . * (pplay(i,k-1)-pplay(i,k)) |
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87 | ENDDO |
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88 | ENDDO |
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89 | c |
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90 | CALL cmfmca(dtime, pres, dp, zgeom, pt, pq, |
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91 | $ cmfprt, cmfprs, ntop, nbas) |
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92 | C |
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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 | ENDDO |
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98 | ENDDO |
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99 | c |
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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 | ENDDO |
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106 | c |
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107 | IF (usekuo) THEN |
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108 | CALL conkuo(dtime, paprs, pplay, t, q, conv_q, |
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109 | s d_t_bis, d_q_bis, d_ql_bis, rneb_bis, |
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110 | s rain_bis, snow_bis, ibas_bis, itop_bis) |
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111 | DO k = 1, klev |
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112 | DO i = 1, klon |
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113 | d_t(i,k) = d_t(i,k) + d_t_bis(i,k) |
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114 | d_q(i,k) = d_q(i,k) + d_q_bis(i,k) |
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115 | ENDDO |
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116 | ENDDO |
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117 | DO i = 1, klon |
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118 | rain(i) = rain(i) + rain_bis(i) |
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119 | snow(i) = snow(i) + snow_bis(i) |
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120 | kbascm(i) = MIN(kbascm(i),ibas_bis(i)) |
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121 | ktopcm(i) = MAX(ktopcm(i),itop_bis(i)) |
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122 | ENDDO |
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123 | DO k = 1, klev ! eau liquide convective est |
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124 | DO i = 1, klon ! dispersee dans l'air |
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125 | zlvdcp=RLVTT/RCPD/(1.0+RVTMP2*q(i,k)) |
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126 | zlsdcp=RLSTT/RCPD/(1.0+RVTMP2*q(i,k)) |
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127 | zdelta = MAX(0.,SIGN(1.,RTT-t(i,k))) |
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128 | zz = d_ql_bis(i,k) ! re-evap. de l'eau liquide |
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129 | zb = MAX(0.0,zz) |
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130 | za = - MAX(0.0,zz) * (zlvdcp*(1.-zdelta)+zlsdcp*zdelta) |
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131 | d_t(i,k) = d_t(i,k) + za |
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132 | d_q(i,k) = d_q(i,k) + zb |
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133 | ENDDO |
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134 | ENDDO |
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135 | ENDIF |
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136 | c |
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137 | RETURN |
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138 | END |
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139 | SUBROUTINE cmfmca(deltat, p, dp, gz, |
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140 | $ tb, shb, |
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141 | $ cmfprt, cmfprs, cnt, cnb) |
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142 | IMPLICIT none |
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143 | C----------------------------------------------------------------------- |
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144 | C Moist convective mass flux procedure: |
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145 | C If stratification is unstable to nonentraining parcel ascent, |
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146 | C complete an adjustment making use of a simple cloud model |
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147 | C |
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148 | C Code generalized to allow specification of parcel ("updraft") |
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149 | C properties, as well as convective transport of an arbitrary |
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150 | C number of passive constituents (see cmrb array). |
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151 | C----------------------------Code History------------------------------- |
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152 | C Original version: J. J. Hack, March 22, 1990 |
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153 | C Standardized: J. Rosinski, June 1992 |
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154 | C Reviewed: J. Hack, G. Taylor, August 1992 |
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155 | c Adaptation au LMD: Z.X. Li, mars 1996 (reference: Hack 1994, |
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156 | c J. Geophys. Res. vol 99, D3, 5551-5568). J'ai |
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157 | c introduit les constantes et les fonctions thermo- |
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158 | c dynamiques du Centre Europeen. J'ai elimine le |
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159 | c re-indicage du code en esperant que cela pourra |
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160 | c simplifier la lecture et la comprehension. |
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161 | C----------------------------------------------------------------------- |
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162 | #include "dimensions.h" |
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163 | #include "dimphy.h" |
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164 | INTEGER pcnst ! nombre de traceurs passifs |
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165 | PARAMETER (pcnst=1) |
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166 | C------------------------------Arguments-------------------------------- |
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167 | C Input arguments |
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168 | C |
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169 | REAL deltat ! time step (seconds) |
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170 | REAL p(klon,klev) ! pressure |
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171 | REAL dp(klon,klev) ! delta-p |
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172 | REAL gz(klon,klev) ! geopotential (a partir du sol) |
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173 | c |
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174 | REAL thtap(klon) ! PBL perturbation theta |
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175 | REAL shp(klon) ! PBL perturbation specific humidity |
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176 | REAL pblh(klon) ! PBL height (provided by PBL routine) |
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177 | REAL cmrp(klon,pcnst) ! constituent perturbations in PBL |
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178 | c |
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179 | c Updated arguments: |
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180 | c |
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181 | REAL tb(klon,klev) ! temperature (t bar) |
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182 | REAL shb(klon,klev) ! specific humidity (sh bar) |
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183 | REAL cmrb(klon,klev,pcnst) ! constituent mixing ratios (cmr bar) |
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184 | C |
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185 | C Output arguments |
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186 | C |
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187 | REAL cmfdt(klon,klev) ! dT/dt due to moist convection |
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188 | REAL cmfdq(klon,klev) ! dq/dt due to moist convection |
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189 | REAL cmfmc(klon,klev ) ! moist convection cloud mass flux |
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190 | REAL cmfdqr(klon,klev) ! dq/dt due to convective rainout |
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191 | REAL cmfsl(klon,klev ) ! convective lw static energy flux |
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192 | REAL cmflq(klon,klev ) ! convective total water flux |
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193 | REAL cmfprt(klon) ! convective precipitation rate |
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194 | REAL cmfprs(klon) ! convective snowfall rate |
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195 | REAL qc(klon,klev) ! dq/dt due to rainout terms |
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196 | INTEGER cnt(klon) ! top level of convective activity |
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197 | INTEGER cnb(klon) ! bottom level of convective activity |
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198 | C------------------------------Parameters------------------------------- |
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199 | REAL c0 ! rain water autoconversion coefficient |
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200 | PARAMETER (c0=1.0e-4) |
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201 | REAL dzmin ! minimum convective depth for precipitation |
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202 | PARAMETER (dzmin=0.0) |
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203 | REAL betamn ! minimum overshoot parameter |
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204 | PARAMETER (betamn=0.10) |
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205 | REAL cmftau ! characteristic adjustment time scale |
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206 | PARAMETER (cmftau=3600.) |
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207 | INTEGER limcnv ! top interface level limit for convection |
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208 | PARAMETER (limcnv=1) |
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209 | REAL tpmax ! maximum acceptable t perturbation (degrees C) |
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210 | PARAMETER (tpmax=1.50) |
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211 | REAL shpmax ! maximum acceptable q perturbation (g/g) |
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212 | PARAMETER (shpmax=1.50e-3) |
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213 | REAL tiny ! arbitrary small num used in transport estimates |
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214 | PARAMETER (tiny=1.0e-36) |
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215 | REAL eps ! convergence criteria (machine dependent) |
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216 | PARAMETER (eps=1.0e-13) |
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217 | REAL tmelt ! freezing point of water(req'd for rain vs snow) |
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218 | PARAMETER (tmelt=273.15) |
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219 | REAL ssfac ! supersaturation bound (detrained air) |
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220 | PARAMETER (ssfac=1.001) |
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221 | C |
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222 | C---------------------------Local workspace----------------------------- |
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223 | REAL gam(klon,klev) ! L/cp (d(qsat)/dT) |
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224 | REAL sb(klon,klev) ! dry static energy (s bar) |
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225 | REAL hb(klon,klev) ! moist static energy (h bar) |
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226 | REAL shbs(klon,klev) ! sat. specific humidity (sh bar star) |
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227 | REAL hbs(klon,klev) ! sat. moist static energy (h bar star) |
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228 | REAL shbh(klon,klev+1) ! specific humidity on interfaces |
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229 | REAL sbh(klon,klev+1) ! s bar on interfaces |
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230 | REAL hbh(klon,klev+1) ! h bar on interfaces |
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231 | REAL cmrh(klon,klev+1) ! interface constituent mixing ratio |
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232 | REAL prec(klon) ! instantaneous total precipitation |
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233 | REAL dzcld(klon) ! depth of convective layer (m) |
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234 | REAL beta(klon) ! overshoot parameter (fraction) |
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235 | REAL betamx ! local maximum on overshoot |
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236 | REAL eta(klon) ! convective mass flux (kg/m^2 s) |
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237 | REAL etagdt ! eta*grav*deltat |
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238 | REAL cldwtr(klon) ! cloud water (mass) |
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239 | REAL rnwtr(klon) ! rain water (mass) |
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240 | REAL sc (klon) ! dry static energy ("in-cloud") |
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241 | REAL shc (klon) ! specific humidity ("in-cloud") |
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242 | REAL hc (klon) ! moist static energy ("in-cloud") |
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243 | REAL cmrc(klon) ! constituent mix rat ("in-cloud") |
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244 | REAL dq1(klon) ! shb convective change (lower lvl) |
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245 | REAL dq2(klon) ! shb convective change (mid level) |
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246 | REAL dq3(klon) ! shb convective change (upper lvl) |
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247 | REAL ds1(klon) ! sb convective change (lower lvl) |
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248 | REAL ds2(klon) ! sb convective change (mid level) |
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249 | REAL ds3(klon) ! sb convective change (upper lvl) |
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250 | REAL dcmr1(klon) ! cmrb convective change (lower lvl) |
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251 | REAL dcmr2(klon) ! cmrb convective change (mid level) |
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252 | REAL dcmr3(klon) ! cmrb convective change (upper lvl) |
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253 | REAL flotab(klon) ! hc - hbs (mesure d'instabilite) |
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254 | LOGICAL ldcum(klon) ! .true. si la convection existe |
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255 | LOGICAL etagt0 ! true if eta > 0.0 |
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256 | REAL dt ! current 2 delta-t (model time step) |
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257 | REAL cats ! modified characteristic adj. time |
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258 | REAL rdt ! 1./dt |
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259 | REAL qprime ! modified specific humidity pert. |
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260 | REAL tprime ! modified thermal perturbation |
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261 | REAL pblhgt ! bounded pbl height (max[pblh,1m]) |
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262 | REAL fac1 ! intermediate scratch variable |
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263 | REAL shprme ! intermediate specific humidity pert. |
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264 | REAL qsattp ! saturation mixing ratio for |
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265 | C ! thermally perturbed PBL parcels |
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266 | REAL dz ! local layer depth |
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267 | REAL b1 ! bouyancy measure in detrainment lvl |
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268 | REAL b2 ! bouyancy measure in condensation lvl |
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269 | REAL g ! bounded vertical gradient of hb |
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270 | REAL tmass ! total mass available for convective exchange |
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271 | REAL denom ! intermediate scratch variable |
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272 | REAL qtest1! used in negative q test (middle lvl) |
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273 | REAL qtest2! used in negative q test (lower lvl) |
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274 | REAL fslkp ! flux lw static energy (bot interface) |
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275 | REAL fslkm ! flux lw static energy (top interface) |
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276 | REAL fqlkp ! flux total water (bottom interface) |
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277 | REAL fqlkm ! flux total water (top interface) |
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278 | REAL botflx! bottom constituent mixing ratio flux |
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279 | REAL topflx! top constituent mixing ratio flux |
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280 | REAL efac1 ! ratio cmrb to convectively induced change (bot lvl) |
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281 | REAL efac2 ! ratio cmrb to convectively induced change (mid lvl) |
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282 | REAL efac3 ! ratio cmrb to convectively induced change (top lvl) |
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283 | c |
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284 | INTEGER i,k ! indices horizontal et vertical |
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285 | INTEGER km1 ! k-1 (index offset) |
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286 | INTEGER kp1 ! k+1 (index offset) |
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287 | INTEGER m ! constituent index |
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288 | INTEGER ktp ! temporary index used to track top |
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289 | INTEGER is ! nombre de points a ajuster |
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290 | C |
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291 | REAL tmp1, tmp2, tmp3, tmp4 |
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292 | REAL zx_t, zx_p, zx_q, zx_qs, zx_gam |
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293 | REAL zcor, zdelta, zcvm5 |
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294 | C |
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295 | REAL qhalf, sh1, sh2, shbs1, shbs2 |
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296 | #include "YOMCST.h" |
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297 | #include "YOETHF.h" |
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298 | #include "FCTTRE.h" |
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299 | qhalf(sh1,sh2,shbs1,shbs2) = MIN(MAX(sh1,sh2), |
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300 | $ (shbs2*sh1 + shbs1*sh2)/(shbs1+shbs2)) |
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301 | C |
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302 | C----------------------------------------------------------------------- |
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303 | c pas de traceur pour l'instant |
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304 | DO m = 1, pcnst |
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305 | DO k = 1, klev |
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306 | DO i = 1, klon |
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307 | cmrb(i,k,m) = 0.0 |
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308 | ENDDO |
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309 | ENDDO |
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310 | ENDDO |
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311 | c |
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312 | c Les perturbations de la couche limite sont zero pour l'instant |
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313 | c |
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314 | DO m = 1, pcnst |
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315 | DO i = 1, klon |
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316 | cmrp(i,m) = 0.0 |
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317 | ENDDO |
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318 | ENDDO |
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319 | DO i = 1, klon |
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320 | thtap(i) = 0.0 |
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321 | shp(i) = 0.0 |
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322 | pblh(i) = 1.0 |
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323 | ENDDO |
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324 | C |
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325 | C Ensure that characteristic adjustment time scale (cmftau) assumed |
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326 | C in estimate of eta isn't smaller than model time scale (deltat) |
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327 | C |
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328 | dt = deltat |
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329 | cats = MAX(dt,cmftau) |
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330 | rdt = 1.0/dt |
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331 | C |
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332 | C Compute sb,hb,shbs,hbs |
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333 | C |
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334 | DO k = 1, klev |
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335 | DO i = 1, klon |
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336 | zx_t = tb(i,k) |
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337 | zx_p = p(i,k) |
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338 | zx_q = shb(i,k) |
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339 | zdelta=MAX(0.,SIGN(1.,RTT-zx_t)) |
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340 | zcvm5 = R5LES*RLVTT*(1.-zdelta) + R5IES*RLSTT*zdelta |
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341 | zcvm5 = zcvm5 / RCPD / (1.0+RVTMP2*zx_q) |
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342 | zx_qs= r2es * FOEEW(zx_t,zdelta)/zx_p |
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343 | zx_qs=MIN(0.5,zx_qs) |
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344 | zcor=1./(1.-retv*zx_qs) |
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345 | zx_qs=zx_qs*zcor |
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346 | zx_gam = FOEDE(zx_t,zdelta,zcvm5,zx_qs,zcor) |
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347 | shbs(i,k) = zx_qs |
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348 | gam(i,k) = zx_gam |
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349 | ENDDO |
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350 | ENDDO |
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351 | C |
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352 | DO k=limcnv,klev |
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353 | DO i=1,klon |
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354 | sb (i,k) = RCPD*tb(i,k) + gz(i,k) |
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355 | hb (i,k) = sb(i,k) + RLVTT*shb(i,k) |
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356 | hbs(i,k) = sb(i,k) + RLVTT*shbs(i,k) |
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357 | ENDDO |
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358 | ENDDO |
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359 | C |
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360 | C Compute sbh, shbh |
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361 | C |
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362 | DO k=limcnv+1,klev |
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363 | km1 = k - 1 |
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364 | DO i=1,klon |
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365 | sbh (i,k) =0.5*(sb(i,km1) + sb(i,k)) |
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366 | shbh(i,k) =qhalf(shb(i,km1),shb(i,k),shbs(i,km1),shbs(i,k)) |
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367 | hbh (i,k) =sbh(i,k) + RLVTT*shbh(i,k) |
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368 | ENDDO |
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369 | ENDDO |
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370 | C |
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371 | C Specify properties at top of model (not used, but filling anyway) |
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372 | C |
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373 | DO i=1,klon |
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374 | sbh (i,limcnv) = sb(i,limcnv) |
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375 | shbh(i,limcnv) = shb(i,limcnv) |
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376 | hbh (i,limcnv) = hb(i,limcnv) |
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377 | ENDDO |
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378 | C |
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379 | C Zero vertically independent control, tendency & diagnostic arrays |
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380 | C |
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381 | DO i=1,klon |
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382 | prec(i) = 0.0 |
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383 | dzcld(i) = 0.0 |
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384 | cnb(i) = 0 |
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385 | cnt(i) = klev+1 |
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386 | ENDDO |
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387 | |
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388 | DO k = 1, klev |
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389 | DO i = 1,klon |
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390 | cmfdt(i,k) = 0. |
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391 | cmfdq(i,k) = 0. |
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392 | cmfdqr(i,k) = 0. |
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393 | cmfmc(i,k) = 0. |
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394 | cmfsl(i,k) = 0. |
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395 | cmflq(i,k) = 0. |
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396 | ENDDO |
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397 | ENDDO |
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398 | C |
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399 | C Begin moist convective mass flux adjustment procedure. |
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400 | C Formalism ensures that negative cloud liquid water can never occur |
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401 | C |
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402 | DO 70 k=klev-1,limcnv+1,-1 |
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403 | km1 = k - 1 |
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404 | kp1 = k + 1 |
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405 | DO 10 i=1,klon |
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406 | eta (i) = 0.0 |
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407 | beta (i) = 0.0 |
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408 | ds1 (i) = 0.0 |
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409 | ds2 (i) = 0.0 |
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410 | ds3 (i) = 0.0 |
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411 | dq1 (i) = 0.0 |
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412 | dq2 (i) = 0.0 |
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413 | dq3 (i) = 0.0 |
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414 | C |
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415 | C Specification of "cloud base" conditions |
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416 | C |
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417 | qprime = 0.0 |
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418 | tprime = 0.0 |
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419 | C |
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420 | C Assign tprime within the PBL to be proportional to the quantity |
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421 | C thtap (which will be bounded by tpmax), passed to this routine by |
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422 | C the PBL routine. Don't allow perturbation to produce a dry |
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423 | C adiabatically unstable parcel. Assign qprime within the PBL to be |
---|
424 | C an appropriately modified value of the quantity shp (which will be |
---|
425 | C bounded by shpmax) passed to this routine by the PBL routine. The |
---|
426 | C quantity qprime should be less than the local saturation value |
---|
427 | C (qsattp=qsat[t+tprime,p]). In both cases, thtap and shp are |
---|
428 | C linearly reduced toward zero as the PBL top is approached. |
---|
429 | C |
---|
430 | pblhgt = MAX(pblh(i),1.0) |
---|
431 | IF (gz(i,kp1)/RG.LE.pblhgt .AND. dzcld(i).EQ.0.0) THEN |
---|
432 | fac1 = MAX(0.0,1.0-gz(i,kp1)/RG/pblhgt) |
---|
433 | tprime = MIN(thtap(i),tpmax)*fac1 |
---|
434 | qsattp = shbs(i,kp1) + RCPD/RLVTT*gam(i,kp1)*tprime |
---|
435 | shprme = MIN(MIN(shp(i),shpmax)*fac1, |
---|
436 | $ MAX(qsattp-shb(i,kp1),0.0)) |
---|
437 | qprime = MAX(qprime,shprme) |
---|
438 | ELSE |
---|
439 | tprime = 0.0 |
---|
440 | qprime = 0.0 |
---|
441 | ENDIF |
---|
442 | C |
---|
443 | C Specify "updraft" (in-cloud) thermodynamic properties |
---|
444 | C |
---|
445 | sc (i) = sb (i,kp1) + RCPD*tprime |
---|
446 | shc(i) = shb(i,kp1) + qprime |
---|
447 | hc (i) = sc (i ) + RLVTT*shc(i) |
---|
448 | flotab(i) = hc(i) - hbs(i,k) |
---|
449 | dz = dp(i,k)*RD*tb(i,k)/RG/p(i,k) |
---|
450 | IF (flotab(i).gt.0.0) THEN |
---|
451 | dzcld(i) = dzcld(i) + dz |
---|
452 | ELSE |
---|
453 | dzcld(i) = 0.0 |
---|
454 | ENDIF |
---|
455 | 10 CONTINUE |
---|
456 | C |
---|
457 | C Check on moist convective instability |
---|
458 | C |
---|
459 | is = 0 |
---|
460 | DO i = 1, klon |
---|
461 | IF (flotab(i).GT.0.0) THEN |
---|
462 | ldcum(i) = .TRUE. |
---|
463 | is = is + 1 |
---|
464 | ELSE |
---|
465 | ldcum(i) = .FALSE. |
---|
466 | ENDIF |
---|
467 | ENDDO |
---|
468 | C |
---|
469 | IF (is.EQ.0) THEN |
---|
470 | DO i=1,klon |
---|
471 | dzcld(i) = 0.0 |
---|
472 | ENDDO |
---|
473 | GOTO 70 |
---|
474 | ENDIF |
---|
475 | C |
---|
476 | C Current level just below top level => no overshoot |
---|
477 | C |
---|
478 | IF (k.le.limcnv+1) THEN |
---|
479 | DO i=1,klon |
---|
480 | IF (ldcum(i)) THEN |
---|
481 | cldwtr(i) = sb(i,k)-sc(i)+flotab(i)/(1.0+gam(i,k)) |
---|
482 | cldwtr(i) = MAX(0.0,cldwtr(i)) |
---|
483 | beta(i) = 0.0 |
---|
484 | ENDIF |
---|
485 | ENDDO |
---|
486 | GOTO 20 |
---|
487 | ENDIF |
---|
488 | C |
---|
489 | C First guess at overshoot parameter using crude buoyancy closure |
---|
490 | C 10% overshoot assumed as a minimum and 1-c0*dz maximum to start |
---|
491 | C If pre-existing supersaturation in detrainment layer, beta=0 |
---|
492 | C cldwtr is temporarily equal to RLVTT*l (l=> liquid water) |
---|
493 | C |
---|
494 | DO i=1,klon |
---|
495 | IF (ldcum(i)) THEN |
---|
496 | cldwtr(i) = sb(i,k)-sc(i)+flotab(i)/(1.0+gam(i,k)) |
---|
497 | cldwtr(i) = MAX(0.0,cldwtr(i)) |
---|
498 | betamx = 1.0 - c0*MAX(0.0,(dzcld(i)-dzmin)) |
---|
499 | b1 = (hc(i) - hbs(i,km1))*dp(i,km1) |
---|
500 | b2 = (hc(i) - hbs(i,k ))*dp(i,k ) |
---|
501 | beta(i) = MAX(betamn,MIN(betamx, 1.0+b1/b2)) |
---|
502 | IF (hbs(i,km1).le.hb(i,km1)) beta(i) = 0.0 |
---|
503 | ENDIF |
---|
504 | ENDDO |
---|
505 | C |
---|
506 | C Bound maximum beta to ensure physically realistic solutions |
---|
507 | C |
---|
508 | C First check constrains beta so that eta remains positive |
---|
509 | C (assuming that eta is already positive for beta equal zero) |
---|
510 | c La premiere contrainte de beta est que le flux eta doit etre positif. |
---|
511 | C |
---|
512 | DO i=1,klon |
---|
513 | IF (ldcum(i)) THEN |
---|
514 | tmp1 = (1.0+gam(i,k))*(sc(i)-sbh(i,kp1) + cldwtr(i)) |
---|
515 | $ - (hbh(i,kp1)-hc(i))*dp(i,k)/dp(i,kp1) |
---|
516 | tmp2 = (1.0+gam(i,k))*(sc(i)-sbh(i,k)) |
---|
517 | IF ((beta(i)*tmp2-tmp1).GT.0.0) THEN |
---|
518 | betamx = 0.99*(tmp1/tmp2) |
---|
519 | beta(i) = MAX(0.0,MIN(betamx,beta(i))) |
---|
520 | ENDIF |
---|
521 | C |
---|
522 | C Second check involves supersaturation of "detrainment layer" |
---|
523 | C small amount of supersaturation acceptable (by ssfac factor) |
---|
524 | c La 2e contrainte est que la convection ne doit pas sursaturer |
---|
525 | c la "detrainment layer", Neanmoins, une petite sursaturation |
---|
526 | c est acceptee (facteur ssfac). |
---|
527 | C |
---|
528 | IF (hb(i,km1).lt.hbs(i,km1)) THEN |
---|
529 | tmp1 = (1.0+gam(i,k))*(sc(i)-sbh(i,kp1) + cldwtr(i)) |
---|
530 | $ - (hbh(i,kp1)-hc(i))*dp(i,k)/dp(i,kp1) |
---|
531 | tmp1 = tmp1/dp(i,k) |
---|
532 | tmp2 = gam(i,km1)*(sbh(i,k)-sc(i) + cldwtr(i)) - |
---|
533 | $ hbh(i,k) + hc(i) - sc(i) + sbh(i,k) |
---|
534 | tmp3 = (1.0+gam(i,k))*(sc(i)-sbh(i,k))/dp(i,k) |
---|
535 | tmp4 = (dt/cats)*(hc(i)-hbs(i,k))*tmp2 |
---|
536 | $ / (dp(i,km1)*(hbs(i,km1)-hb(i,km1))) + tmp3 |
---|
537 | IF ((beta(i)*tmp4-tmp1).GT.0.0) THEN |
---|
538 | betamx = ssfac*(tmp1/tmp4) |
---|
539 | beta(i) = MAX(0.0,MIN(betamx,beta(i))) |
---|
540 | ENDIF |
---|
541 | ELSE |
---|
542 | beta(i) = 0.0 |
---|
543 | ENDIF |
---|
544 | C |
---|
545 | C Third check to avoid introducing 2 delta x thermodynamic |
---|
546 | C noise in the vertical ... constrain adjusted h (or theta e) |
---|
547 | C so that the adjustment doesn't contribute to "kinks" in h |
---|
548 | C |
---|
549 | g = MIN(0.0,hb(i,k)-hb(i,km1)) |
---|
550 | tmp3 = (hb(i,k)-hb(i,km1)-g)*(cats/dt) / (hc(i)-hbs(i,k)) |
---|
551 | tmp1 = (1.0+gam(i,k))*(sc(i)-sbh(i,kp1) + cldwtr(i)) |
---|
552 | $ - (hbh(i,kp1)-hc(i))*dp(i,k)/dp(i,kp1) |
---|
553 | tmp1 = tmp1/dp(i,k) |
---|
554 | tmp1 = tmp3*tmp1 + (hc(i) - hbh(i,kp1))/dp(i,k) |
---|
555 | tmp2 = tmp3*(1.0+gam(i,k))*(sc(i)-sbh(i,k))/dp(i,k) |
---|
556 | $ + (hc(i)-hbh(i,k)-cldwtr(i)) |
---|
557 | $ *(1.0/dp(i,k)+1.0/dp(i,kp1)) |
---|
558 | IF ((beta(i)*tmp2-tmp1).GT.0.0) THEN |
---|
559 | betamx = 0.0 |
---|
560 | IF (tmp2.NE.0.0) betamx = tmp1/tmp2 |
---|
561 | beta(i) = MAX(0.0,MIN(betamx,beta(i))) |
---|
562 | ENDIF |
---|
563 | ENDIF |
---|
564 | ENDDO |
---|
565 | C |
---|
566 | C Calculate mass flux required for stabilization. |
---|
567 | C |
---|
568 | C Ensure that the convective mass flux, eta, is positive by |
---|
569 | C setting negative values of eta to zero.. |
---|
570 | C Ensure that estimated mass flux cannot move more than the |
---|
571 | C minimum of total mass contained in either layer k or layer k+1. |
---|
572 | C Also test for other pathological cases that result in non- |
---|
573 | C physical states and adjust eta accordingly. |
---|
574 | C |
---|
575 | 20 CONTINUE |
---|
576 | DO i=1,klon |
---|
577 | IF (ldcum(i)) THEN |
---|
578 | beta(i) = MAX(0.0,beta(i)) |
---|
579 | tmp1 = hc(i) - hbs(i,k) |
---|
580 | tmp2 = ((1.0+gam(i,k))*(sc(i)-sbh(i,kp1)+cldwtr(i)) - |
---|
581 | $ beta(i)*(1.0+gam(i,k))*(sc(i)-sbh(i,k)))/dp(i,k) - |
---|
582 | $ (hbh(i,kp1)-hc(i))/dp(i,kp1) |
---|
583 | eta(i) = tmp1/(tmp2*RG*cats) |
---|
584 | tmass = MIN(dp(i,k),dp(i,kp1))/RG |
---|
585 | IF (eta(i).GT.tmass*rdt .OR. eta(i).LE.0.0) eta(i) = 0.0 |
---|
586 | C |
---|
587 | C Check on negative q in top layer (bound beta) |
---|
588 | C |
---|
589 | IF(shc(i)-shbh(i,k).LT.0.0 .AND. beta(i)*eta(i).NE.0.0)THEN |
---|
590 | denom = eta(i)*RG*dt*(shc(i) - shbh(i,k))/dp(i,km1) |
---|
591 | beta(i) = MAX(0.0,MIN(-0.999*shb(i,km1)/denom,beta(i))) |
---|
592 | ENDIF |
---|
593 | C |
---|
594 | C Check on negative q in middle layer (zero eta) |
---|
595 | C |
---|
596 | qtest1 = shb(i,k) + eta(i)*RG*dt*((shc(i) - shbh(i,kp1)) - |
---|
597 | $ (1.0 - beta(i))*cldwtr(i)/RLVTT - |
---|
598 | $ beta(i)*(shc(i) - shbh(i,k)))/dp(i,k) |
---|
599 | IF (qtest1.le.0.0) eta(i) = 0.0 |
---|
600 | C |
---|
601 | C Check on negative q in lower layer (bound eta) |
---|
602 | C |
---|
603 | fac1 = -(shbh(i,kp1) - shc(i))/dp(i,kp1) |
---|
604 | qtest2 = shb(i,kp1) - eta(i)*RG*dt*fac1 |
---|
605 | IF (qtest2 .lt. 0.0) THEN |
---|
606 | eta(i) = 0.99*shb(i,kp1)/(RG*dt*fac1) |
---|
607 | ENDIF |
---|
608 | ENDIF |
---|
609 | ENDDO |
---|
610 | C |
---|
611 | C |
---|
612 | C Calculate cloud water, rain water, and thermodynamic changes |
---|
613 | C |
---|
614 | DO 30 i=1,klon |
---|
615 | IF (ldcum(i)) THEN |
---|
616 | etagdt = eta(i)*RG*dt |
---|
617 | cldwtr(i) = etagdt*cldwtr(i)/RLVTT/RG |
---|
618 | rnwtr(i) = (1.0 - beta(i))*cldwtr(i) |
---|
619 | ds1(i) = etagdt*(sbh(i,kp1) - sc(i))/dp(i,kp1) |
---|
620 | dq1(i) = etagdt*(shbh(i,kp1) - shc(i))/dp(i,kp1) |
---|
621 | ds2(i) = (etagdt*(sc(i) - sbh(i,kp1)) + |
---|
622 | $ RLVTT*RG*cldwtr(i) - beta(i)*etagdt* |
---|
623 | $ (sc(i) - sbh(i,k)))/dp(i,k) |
---|
624 | dq2(i) = (etagdt*(shc(i) - shbh(i,kp1)) - |
---|
625 | $ RG*rnwtr(i) - beta(i)*etagdt* |
---|
626 | $ (shc(i) - shbh(i,k)))/dp(i,k) |
---|
627 | ds3(i) = beta(i)*(etagdt*(sc(i) - sbh(i,k)) - |
---|
628 | $ RLVTT*RG*cldwtr(i))/dp(i,km1) |
---|
629 | dq3(i) = beta(i)*etagdt*(shc(i) - shbh(i,k))/dp(i,km1) |
---|
630 | C |
---|
631 | C Isolate convective fluxes for later diagnostics |
---|
632 | C |
---|
633 | fslkp = eta(i)*(sc(i) - sbh(i,kp1)) |
---|
634 | fslkm = beta(i)*(eta(i)*(sc(i) - sbh(i,k)) - |
---|
635 | $ RLVTT*cldwtr(i)*rdt) |
---|
636 | fqlkp = eta(i)*(shc(i) - shbh(i,kp1)) |
---|
637 | fqlkm = beta(i)*eta(i)*(shc(i) - shbh(i,k)) |
---|
638 | C |
---|
639 | C |
---|
640 | C Update thermodynamic profile (update sb, hb, & hbs later) |
---|
641 | C |
---|
642 | tb (i,kp1) = tb(i,kp1) + ds1(i) / RCPD |
---|
643 | tb (i,k ) = tb(i,k ) + ds2(i) / RCPD |
---|
644 | tb (i,km1) = tb(i,km1) + ds3(i) / RCPD |
---|
645 | shb(i,kp1) = shb(i,kp1) + dq1(i) |
---|
646 | shb(i,k ) = shb(i,k ) + dq2(i) |
---|
647 | shb(i,km1) = shb(i,km1) + dq3(i) |
---|
648 | prec(i) = prec(i) + rnwtr(i)/rhoh2o |
---|
649 | C |
---|
650 | C Update diagnostic information for final budget |
---|
651 | C Tracking temperature & specific humidity tendencies, |
---|
652 | C rainout term, convective mass flux, convective liquid |
---|
653 | C water static energy flux, and convective total water flux |
---|
654 | C |
---|
655 | cmfdt (i,kp1) = cmfdt (i,kp1) + ds1(i)/RCPD*rdt |
---|
656 | cmfdt (i,k ) = cmfdt (i,k ) + ds2(i)/RCPD*rdt |
---|
657 | cmfdt (i,km1) = cmfdt (i,km1) + ds3(i)/RCPD*rdt |
---|
658 | cmfdq (i,kp1) = cmfdq (i,kp1) + dq1(i)*rdt |
---|
659 | cmfdq (i,k ) = cmfdq (i,k ) + dq2(i)*rdt |
---|
660 | cmfdq (i,km1) = cmfdq (i,km1) + dq3(i)*rdt |
---|
661 | cmfdqr(i,k ) = cmfdqr(i,k ) + (RG*rnwtr(i)/dp(i,k))*rdt |
---|
662 | cmfmc (i,kp1) = cmfmc (i,kp1) + eta(i) |
---|
663 | cmfmc (i,k ) = cmfmc (i,k ) + beta(i)*eta(i) |
---|
664 | cmfsl (i,kp1) = cmfsl (i,kp1) + fslkp |
---|
665 | cmfsl (i,k ) = cmfsl (i,k ) + fslkm |
---|
666 | cmflq (i,kp1) = cmflq (i,kp1) + RLVTT*fqlkp |
---|
667 | cmflq (i,k ) = cmflq (i,k ) + RLVTT*fqlkm |
---|
668 | qc (i,k ) = (RG*rnwtr(i)/dp(i,k))*rdt |
---|
669 | ENDIF |
---|
670 | 30 CONTINUE |
---|
671 | C |
---|
672 | C Next, convectively modify passive constituents |
---|
673 | C |
---|
674 | DO 50 m=1,pcnst |
---|
675 | DO 40 i=1,klon |
---|
676 | IF (ldcum(i)) THEN |
---|
677 | C |
---|
678 | C If any of the reported values of the constituent is negative in |
---|
679 | C the three adjacent levels, nothing will be done to the profile |
---|
680 | C |
---|
681 | IF ((cmrb(i,kp1,m).LT.0.0) .OR. |
---|
682 | $ (cmrb(i,k,m).LT.0.0) .OR. |
---|
683 | $ (cmrb(i,km1,m).LT.0.0)) GOTO 40 |
---|
684 | C |
---|
685 | C Specify constituent interface values (linear interpolation) |
---|
686 | C |
---|
687 | cmrh(i,k ) = 0.5*(cmrb(i,km1,m) + cmrb(i,k ,m)) |
---|
688 | cmrh(i,kp1) = 0.5*(cmrb(i,k ,m) + cmrb(i,kp1,m)) |
---|
689 | C |
---|
690 | C Specify perturbation properties of constituents in PBL |
---|
691 | C |
---|
692 | pblhgt = MAX(pblh(i),1.0) |
---|
693 | IF (gz(i,kp1)/RG.LE.pblhgt .AND. dzcld(i).EQ.0.) THEN |
---|
694 | fac1 = MAX(0.0,1.0-gz(i,kp1)/RG/pblhgt) |
---|
695 | cmrc(i) = cmrb(i,kp1,m) + cmrp(i,m)*fac1 |
---|
696 | ELSE |
---|
697 | cmrc(i) = cmrb(i,kp1,m) |
---|
698 | ENDIF |
---|
699 | C |
---|
700 | C Determine fluxes, flux divergence => changes due to convection |
---|
701 | C Logic must be included to avoid producing negative values. A bit |
---|
702 | C messy since there are no a priori assumptions about profiles. |
---|
703 | C Tendency is modified (reduced) when pending disaster detected. |
---|
704 | C |
---|
705 | etagdt = eta(i)*RG*dt |
---|
706 | botflx = etagdt*(cmrc(i) - cmrh(i,kp1)) |
---|
707 | topflx = beta(i)*etagdt*(cmrc(i)-cmrh(i,k)) |
---|
708 | dcmr1(i) = -botflx/dp(i,kp1) |
---|
709 | efac1 = 1.0 |
---|
710 | efac2 = 1.0 |
---|
711 | efac3 = 1.0 |
---|
712 | C |
---|
713 | IF (cmrb(i,kp1,m)+dcmr1(i) .LT. 0.0) THEN |
---|
714 | efac1 = MAX(tiny,ABS(cmrb(i,kp1,m)/dcmr1(i)) - eps) |
---|
715 | ENDIF |
---|
716 | C |
---|
717 | IF (efac1.EQ.tiny .OR. efac1.GT.1.0) efac1 = 0.0 |
---|
718 | dcmr1(i) = -efac1*botflx/dp(i,kp1) |
---|
719 | dcmr2(i) = (efac1*botflx - topflx)/dp(i,k) |
---|
720 | C |
---|
721 | IF (cmrb(i,k,m)+dcmr2(i) .LT. 0.0) THEN |
---|
722 | efac2 = MAX(tiny,ABS(cmrb(i,k ,m)/dcmr2(i)) - eps) |
---|
723 | ENDIF |
---|
724 | C |
---|
725 | IF (efac2.EQ.tiny .OR. efac2.GT.1.0) efac2 = 0.0 |
---|
726 | dcmr2(i) = (efac1*botflx - efac2*topflx)/dp(i,k) |
---|
727 | dcmr3(i) = efac2*topflx/dp(i,km1) |
---|
728 | C |
---|
729 | IF (cmrb(i,km1,m)+dcmr3(i) .LT. 0.0) THEN |
---|
730 | efac3 = MAX(tiny,ABS(cmrb(i,km1,m)/dcmr3(i)) - eps) |
---|
731 | ENDIF |
---|
732 | C |
---|
733 | IF (efac3.EQ.tiny .OR. efac3.GT.1.0) efac3 = 0.0 |
---|
734 | efac3 = MIN(efac2,efac3) |
---|
735 | dcmr2(i) = (efac1*botflx - efac3*topflx)/dp(i,k) |
---|
736 | dcmr3(i) = efac3*topflx/dp(i,km1) |
---|
737 | C |
---|
738 | cmrb(i,kp1,m) = cmrb(i,kp1,m) + dcmr1(i) |
---|
739 | cmrb(i,k ,m) = cmrb(i,k ,m) + dcmr2(i) |
---|
740 | cmrb(i,km1,m) = cmrb(i,km1,m) + dcmr3(i) |
---|
741 | ENDIF |
---|
742 | 40 CONTINUE |
---|
743 | 50 CONTINUE ! end of m=1,pcnst loop |
---|
744 | C |
---|
745 | IF (k.EQ.limcnv+1) GOTO 60 ! on ne pourra plus glisser |
---|
746 | c |
---|
747 | c Dans la procedure de glissage ascendant, les variables thermo- |
---|
748 | c dynamiques des couches k et km1 servent au calcul des couches |
---|
749 | c superieures. Elles ont donc besoin d'une mise-a-jour. |
---|
750 | C |
---|
751 | DO i = 1, klon |
---|
752 | IF (ldcum(i)) THEN |
---|
753 | zx_t = tb(i,k) |
---|
754 | zx_p = p(i,k) |
---|
755 | zx_q = shb(i,k) |
---|
756 | zdelta=MAX(0.,SIGN(1.,RTT-zx_t)) |
---|
757 | zcvm5 = R5LES*RLVTT*(1.-zdelta) + R5IES*RLSTT*zdelta |
---|
758 | zcvm5 = zcvm5 / RCPD / (1.0+RVTMP2*zx_q) |
---|
759 | zx_qs= r2es * FOEEW(zx_t,zdelta)/zx_p |
---|
760 | zx_qs=MIN(0.5,zx_qs) |
---|
761 | zcor=1./(1.-retv*zx_qs) |
---|
762 | zx_qs=zx_qs*zcor |
---|
763 | zx_gam = FOEDE(zx_t,zdelta,zcvm5,zx_qs,zcor) |
---|
764 | shbs(i,k) = zx_qs |
---|
765 | gam(i,k) = zx_gam |
---|
766 | c |
---|
767 | zx_t = tb(i,km1) |
---|
768 | zx_p = p(i,km1) |
---|
769 | zx_q = shb(i,km1) |
---|
770 | zdelta=MAX(0.,SIGN(1.,RTT-zx_t)) |
---|
771 | zcvm5 = R5LES*RLVTT*(1.-zdelta) + R5IES*RLSTT*zdelta |
---|
772 | zcvm5 = zcvm5 / RCPD / (1.0+RVTMP2*zx_q) |
---|
773 | zx_qs= r2es * FOEEW(zx_t,zdelta)/zx_p |
---|
774 | zx_qs=MIN(0.5,zx_qs) |
---|
775 | zcor=1./(1.-retv*zx_qs) |
---|
776 | zx_qs=zx_qs*zcor |
---|
777 | zx_gam = FOEDE(zx_t,zdelta,zcvm5,zx_qs,zcor) |
---|
778 | shbs(i,km1) = zx_qs |
---|
779 | gam(i,km1) = zx_gam |
---|
780 | C |
---|
781 | sb (i,k ) = sb(i,k ) + ds2(i) |
---|
782 | sb (i,km1) = sb(i,km1) + ds3(i) |
---|
783 | hb (i,k ) = sb(i,k ) + RLVTT*shb(i,k) |
---|
784 | hb (i,km1) = sb(i,km1) + RLVTT*shb(i,km1) |
---|
785 | hbs(i,k ) = sb(i,k ) + RLVTT*shbs(i,k ) |
---|
786 | hbs(i,km1) = sb(i,km1) + RLVTT*shbs(i,km1) |
---|
787 | C |
---|
788 | sbh (i,k) = 0.5*(sb(i,k) + sb(i,km1)) |
---|
789 | shbh(i,k) = qhalf(shb(i,km1),shb(i,k) |
---|
790 | $ ,shbs(i,km1),shbs(i,k)) |
---|
791 | hbh (i,k) = sbh(i,k) + RLVTT*shbh(i,k) |
---|
792 | sbh (i,km1) = 0.5*(sb(i,km1) + sb(i,k-2)) |
---|
793 | shbh(i,km1) = qhalf(shb(i,k-2),shb(i,km1), |
---|
794 | $ shbs(i,k-2),shbs(i,km1)) |
---|
795 | hbh (i,km1) = sbh(i,km1) + RLVTT*shbh(i,km1) |
---|
796 | ENDIF |
---|
797 | ENDDO |
---|
798 | C |
---|
799 | C Ensure that dzcld is reset if convective mass flux zero |
---|
800 | C specify the current vertical extent of the convective activity |
---|
801 | C top of convective layer determined by size of overshoot param. |
---|
802 | C |
---|
803 | 60 CONTINUE |
---|
804 | DO i=1,klon |
---|
805 | etagt0 = eta(i).gt.0.0 |
---|
806 | IF (.not.etagt0) dzcld(i) = 0.0 |
---|
807 | IF (etagt0 .and. beta(i).gt.betamn) THEN |
---|
808 | ktp = km1 |
---|
809 | ELSE |
---|
810 | ktp = k |
---|
811 | ENDIF |
---|
812 | IF (etagt0) THEN |
---|
813 | cnt(i) = MIN(cnt(i),ktp) |
---|
814 | cnb(i) = MAX(cnb(i),k) |
---|
815 | ENDIF |
---|
816 | ENDDO |
---|
817 | 70 CONTINUE ! end of k loop |
---|
818 | C |
---|
819 | C determine whether precipitation, prec, is frozen (snow) or not |
---|
820 | C |
---|
821 | DO i=1,klon |
---|
822 | IF (tb(i,klev).LT.tmelt .AND. tb(i,klev-1).lt.tmelt) THEN |
---|
823 | cmfprs(i) = prec(i)*rdt |
---|
824 | ELSE |
---|
825 | cmfprt(i) = prec(i)*rdt |
---|
826 | ENDIF |
---|
827 | ENDDO |
---|
828 | C |
---|
829 | RETURN ! we're all done ... return to calling procedure |
---|
830 | END |
---|