1 | MODULE lmdz_ratqs_multi |
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2 | |
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3 | !============================================= |
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4 | ! A FAIRE : |
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5 | ! Traiter le probleme de USE lmdz_lscp_tools, ONLY: CALC_QSAT_ECMWF |
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6 | !============================================= |
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7 | |
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8 | !============================================= |
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9 | ! module containing subroutines that take |
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10 | ! into account the effect of convection, orography, |
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11 | ! surface heterogeneities and subgrid-scale |
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12 | ! turbulence on ratqs, i.e. on the width of the |
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13 | ! total water subgrid distribution. |
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14 | !============================================= |
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15 | USE lmdz_yoethf |
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16 | IMPLICIT NONE |
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17 | |
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18 | CONTAINS |
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19 | |
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20 | |
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21 | !======================================================================== |
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22 | SUBROUTINE ratqs_inter(klon,klev,iflag_ratqs,pdtphys,paprs, & |
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23 | ratqsbas, wake_deltaq, wake_s, q_seri,qtc_cv, sigt_cv, & |
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24 | fm_therm,entr_therm,detr_therm,detrain_cv,fm_cv,fqd,fqcomp,sigd, & |
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25 | ratqs_inter_) |
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26 | |
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27 | USE lmdz_ratqs_ini, ONLY: a_ratqs_cv,tau_var,fac_tau,tau_cumul,a_ratqs_wake, dqimpl |
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28 | USE lmdz_ratqs_ini, ONLY: RG |
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29 | USE lmdz_ratqs_ini, ONLY: povariance, var_conv |
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30 | USE lmdz_thermcell_dq, ONLY: thermcell_dq |
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31 | |
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32 | IMPLICIT NONE |
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33 | |
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34 | !======================================================================== |
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35 | ! L. d'Alen??on, 25/02/2021 |
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36 | ! Cette SUBROUTINE calcule une valeur de ratqsbas interactive |
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37 | ! Elle est appel??e par la SUBROUTINE ratqs lorsque iflag_ratqs = 11. |
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38 | !======================================================================== |
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39 | |
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40 | ! Declarations |
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41 | ! Input |
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42 | INTEGER,INTENT(IN) :: klon,klev,iflag_ratqs |
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43 | REAL,INTENT(IN) :: pdtphys,ratqsbas |
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44 | REAL, DIMENSION(klon,klev+1),INTENT(IN) :: paprs |
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45 | REAL, DIMENSION(klon,klev),INTENT(IN) :: wake_deltaq, q_seri,qtc_cv, sigt_cv |
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46 | REAL, DIMENSION(klon),INTENT(IN) :: wake_s |
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47 | REAL, DIMENSION(klon,klev+1),INTENT(IN) :: fm_therm |
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48 | REAL, DIMENSION(klon,klev),INTENT(IN) :: entr_therm,detr_therm,detrain_cv,fm_cv,fqd,fqcomp |
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49 | REAL, DIMENSION(klon),INTENT(IN) :: sigd |
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50 | |
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51 | ! Output |
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52 | REAL, DIMENSION(klon,klev),INTENT(INOUT) :: ratqs_inter_ |
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53 | |
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54 | ! local |
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55 | LOGICAL :: klein = .FALSE. |
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56 | LOGICAL :: klein_conv = .TRUE. |
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57 | REAL :: taup0 = 70000 |
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58 | REAL :: taudp = 500 |
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59 | INTEGER :: lev_out=10 |
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60 | REAL, DIMENSION (klon,klev) :: zmasse,entr0,detr0,detraincv,dqp,detrain_p,q0,qd0,tau_diss |
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61 | REAL, DIMENSION (klon,klev+1) :: fm0 |
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62 | INTEGER i,k |
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63 | REAL, DIMENSION(klon,klev) :: wake_dq |
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64 | |
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65 | REAL, DIMENSION(klon) :: max_sigd, max_dqconv,max_sigt |
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66 | REAL, DIMENSION(klon,klev) :: zoa,zocarrea,pdocarreadj,pocarre,po,pdoadj,varq_therm |
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67 | REAL, DIMENSION(klon,klev) :: var_moy, var_var, var_desc_th,var_det_conv,var_desc_prec,var_desc_conv,sigma_therm |
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68 | |
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69 | lev_out=0. |
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70 | |
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71 | PRINT*,'ratqs_inter' |
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72 | |
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73 | !----------------------------------------------------------------------- |
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74 | ! Calcul des masses |
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75 | !----------------------------------------------------------------------- |
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76 | |
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77 | DO k=1,klev |
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78 | zmasse(:,k)=(paprs(:,k)-paprs(:,k+1))/RG |
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79 | enddo |
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80 | !------------------------------------------------------------------------- |
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81 | ! Caclul du terme de d??trainement de la variance pour les thermiques |
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82 | !------------------------------------------------------------------------- |
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83 | |
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84 | ! initialisations |
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85 | |
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86 | |
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87 | DO k=1,klev |
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88 | DO i=1,klon |
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89 | tau_diss(i,k)=tau_var +0.5*fac_tau*tau_var*(tanh((taup0-paprs(i,k))/taudp) + 1.) |
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90 | enddo |
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91 | enddo |
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92 | |
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93 | |
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94 | |
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95 | entr0(:,:) = entr_therm(:,:) |
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96 | fm0(:,:) = fm_therm(:,:) |
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97 | detr0(:,:) = detr_therm(:,:) |
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98 | |
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99 | ! calcul du carr?? de l'humidit?? sp??cifique et circulation dans les thermiques |
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100 | po(:,:) = q_seri(:,:) |
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101 | CALL thermcell_dq(klon,klev,dqimpl,pdtphys,fm0,entr0,zmasse, & |
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102 | po,pdoadj,zoa,lev_out) |
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103 | DO k=1,klev |
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104 | DO i=1,klon |
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105 | pocarre(i,k)=po(i,k)*po(i,k) + povariance(i,k) |
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106 | enddo |
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107 | enddo |
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108 | CALL thermcell_dq(klon,klev,dqimpl,pdtphys,fm0,entr0,zmasse, & |
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109 | pocarre,pdocarreadj,zocarrea,lev_out) |
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110 | |
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111 | |
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112 | ! variance de l'humidit?? sp??cifique totale dans les thermiques |
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113 | DO k=1,klev |
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114 | DO i=1,klon |
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115 | varq_therm(i,k)=zocarrea(i,k)-zoa(i,k)*zoa(i,k) |
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116 | enddo |
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117 | enddo |
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118 | |
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119 | ! calcul des termes sources de la variance avec thermiques et convection profonde (voir Klein 2005 par exemple) |
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120 | DO k=1,klev |
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121 | DO i=1,klon |
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122 | var_moy(i,k) = detr0(i,k)*((zoa(i,k)-po(i,k))**2)/zmasse(i,k) |
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123 | var_var(i,k) = detr0(i,k)*(varq_therm(i,k)-povariance(i,k))/zmasse(i,k) |
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124 | var_det_conv(i,k) = a_ratqs_cv*(detrain_cv(i,k)/zmasse(i,k)) |
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125 | IF (sigd(i)/=0) THEN |
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126 | var_desc_prec(i,k) = sigd(i)*(1-sigd(i))*(fqd(i,k)*tau_cumul/sigd(i))**2/tau_cumul |
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127 | else |
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128 | var_desc_prec(i,k) = 0 |
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129 | endif |
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130 | enddo |
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131 | enddo |
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132 | |
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133 | DO k=1,klev-1 |
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134 | DO i=1,klon |
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135 | var_desc_th(i,k) = fm0(i,k+1)*povariance(i,k+1)/zmasse(i,k) - & |
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136 | fm0(i,k)*povariance(i,k)/zmasse(i,k) |
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137 | var_desc_conv(i,k) = ((povariance(i,k+1)-povariance(i,k))*(fm_cv(i,k)/zmasse(i,k))) |
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138 | enddo |
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139 | enddo |
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140 | var_desc_th(:,klev) = var_desc_th(:,klev-1) |
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141 | var_desc_conv(:,klev) = var_desc_conv(:,klev-1) |
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142 | |
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143 | IF (klein) THEN |
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144 | DO k=1,klev-1 |
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145 | DO i=1,klon |
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146 | qd0(:,:) = 0.0 |
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147 | IF (sigd(i)/=0) THEN |
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148 | qd0(i,k) = fqd(i,k)*tau_cumul/sigd(i) |
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149 | endif |
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150 | enddo |
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151 | enddo |
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152 | DO k=1,klev-1 |
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153 | DO i=1,klon |
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154 | povariance(i,k)= (var_moy(i,k) + var_var(i,k) + var_desc_th(i,k) + & |
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155 | var_det_conv(i,k) + var_desc_prec(i,k) & |
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156 | + var_desc_conv(i,k))*pdtphys + povariance(i,k) |
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157 | povariance(i,k)= povariance(i,k)*exp(-pdtphys/tau_diss(i,k)) |
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158 | enddo |
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159 | enddo |
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160 | povariance(:,klev) = povariance(:,klev-1) |
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161 | |
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162 | else ! calcul direct |
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163 | qd0(:,:) = 0.0 |
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164 | q0(:,:) = 0.0 |
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165 | DO k=1,klev-1 |
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166 | DO i=1,klon |
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167 | IF (sigd(i)/=0) then ! termes de variance par accumulation |
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168 | qd0(i,k) = fqd(i,k)*tau_cumul/sigd(i) |
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169 | endif |
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170 | IF (sigt_cv(i,k)/=0) THEN |
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171 | q0(i,k) = fqcomp(i,k)*tau_cumul/sigt_cv(i,k) |
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172 | endif |
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173 | enddo |
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174 | enddo |
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175 | DO k=1,klev-1 |
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176 | DO i=1,klon |
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177 | povariance(i,k)= (pdocarreadj(i,k)-2.*po(i,k)*pdoadj(i,k) + & |
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178 | a_ratqs_cv*(sigt_cv(i,k)*(1-sigt_cv(i,k))*q0(i,k)**2/tau_cumul + var_desc_prec(i,k) + & |
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179 | var_desc_conv(i,k)))*pdtphys + povariance(i,k) |
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180 | povariance(i,k)=povariance(i,k)*exp(-pdtphys/tau_diss(i,k)) |
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181 | enddo |
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182 | enddo |
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183 | povariance(:,klev) = povariance(:,klev-1) |
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184 | ! fqd(:,:)=sigt_cv(:,:)*(1-sigt_cv(:,:))*q0(:,:)**2/tau_cumul |
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185 | endif |
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186 | |
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187 | !------------------------------------------------------------------------- |
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188 | ! Caclul du ratqs_inter_ |
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189 | !------------------------------------------------------------------------- |
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190 | |
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191 | DO k=1,klev |
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192 | DO i=1,klon |
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193 | IF(q_seri(i,k)>=1E-7) THEN |
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194 | ratqs_inter_(i,k) = abs(povariance(i,k))**0.5/q_seri(i,k) |
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195 | sigma_therm(i,k) = abs(varq_therm(i,k))**0.5 ! sigma dans les thermiques |
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196 | else |
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197 | ratqs_inter_(i,k) = 0. |
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198 | sigma_therm(i,k) = 0. |
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199 | endif |
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200 | enddo |
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201 | enddo |
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202 | |
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203 | RETURN |
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204 | end |
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205 | |
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206 | !------------------------------------------------------------------ |
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207 | SUBROUTINE ratqs_oro(klon,klev,pctsrf,zstd,qsat,temp,pplay,paprs,ratqs_oro_) |
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208 | |
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209 | ! Etienne Vignon, November 2021: effect of subgrid orography on ratqs |
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210 | |
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211 | USE lmdz_ratqs_ini, ONLY: RG,RV,RD,RLSTT,RLVTT,RTT,nbsrf,is_lic,is_ter |
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212 | |
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213 | IMPLICIT NONE |
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214 | |
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215 | ! Declarations |
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216 | !-------------- |
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217 | |
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218 | ! INPUTS |
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219 | |
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220 | INTEGER, INTENT(IN) :: klon ! number of horizontal grid points |
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221 | INTEGER, INTENT(IN) :: klev ! number of vertical layers |
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222 | REAL, DIMENSION(klon,nbsrf) :: pctsrf |
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223 | REAL, DIMENSION(klon,klev), INTENT(IN) :: qsat ! saturation specific humidity [kg/kg] |
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224 | REAL, DIMENSION(klon), INTENT(IN) :: zstd ! sub grid orography standard deviation |
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225 | REAL, DIMENSION(klon,klev), INTENT(IN) :: temp ! air temperature [K] |
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226 | REAL, DIMENSION(klon,klev), INTENT(IN) :: pplay ! air pressure, layer's center [Pa] |
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227 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: paprs ! air pressure, lower inteface [Pa] |
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228 | |
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229 | ! OUTPUTS |
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230 | |
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231 | REAL, DIMENSION(klon,klev), INTENT(OUT) :: ratqs_oro_ ! ratqs profile due to subgrid orography |
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232 | |
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233 | |
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234 | ! LOCAL |
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235 | |
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236 | INTEGER :: i,k |
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237 | REAL, DIMENSION(klon) :: orogradT,xsi0 |
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238 | REAL, DIMENSION (klon,klev) :: zlay |
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239 | REAL :: Lvs, temp0 |
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240 | |
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241 | |
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242 | ! Calculation of the near-surface temperature gradient along the topography |
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243 | !-------------------------------------------------------------------------- |
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244 | |
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245 | ! at the moment, we fix it at a constant value (moist adiab. lapse rate) |
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246 | |
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247 | orogradT(:)=-6.5/1000. ! K/m |
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248 | |
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249 | ! Calculation of near-surface surface ratqs |
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250 | !------------------------------------------- |
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251 | |
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252 | DO i=1,klon |
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253 | temp0=temp(i,1) |
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254 | IF (temp0 < RTT) THEN |
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255 | Lvs=RLSTT |
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256 | ELSE |
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257 | Lvs=RLVTT |
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258 | ENDIF |
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259 | xsi0(i)=zstd(i)*ABS(orogradT(i))*Lvs/temp0/temp0/RV |
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260 | ratqs_oro_(i,1)=xsi0(i) |
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261 | END DO |
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262 | |
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263 | ! Vertical profile of ratqs assuming an exponential decrease with height |
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264 | !------------------------------------------------------------------------ |
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265 | |
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266 | ! calculation of geop. height AGL |
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267 | zlay(:,1)= RD*temp(:,1)/(0.5*(paprs(:,1)+pplay(:,1))) & |
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268 | *(paprs(:,1)-pplay(:,1))/RG |
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269 | |
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270 | DO k=2,klev |
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271 | DO i = 1, klon |
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272 | zlay(i,k)= zlay(i,k-1)+RD*0.5*(temp(i,k-1)+temp(i,k)) & |
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273 | /paprs(i,k)*(pplay(i,k-1)-pplay(i,k))/RG |
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274 | |
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275 | ratqs_oro_(i,k)=MAX(0.0,pctsrf(i,is_ter)*xsi0(i)*exp(-zlay(i,k)/MAX(zstd(i),1.))) |
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276 | END DO |
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277 | END DO |
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278 | |
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279 | |
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280 | |
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281 | |
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282 | END SUBROUTINE ratqs_oro |
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283 | |
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284 | !============================================= |
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285 | |
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286 | SUBROUTINE ratqs_hetero(klon,klev,pctsrf,s_pblh,t2m,q2m,temp,q,pplay,paprs,ratqs_hetero_) |
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287 | |
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288 | ! Etienne Vignon, November 2021 |
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289 | ! Effect of subgrid surface heterogeneities on ratqs |
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290 | |
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291 | USE lmdz_lscp_tools, ONLY: CALC_QSAT_ECMWF |
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292 | |
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293 | USE lmdz_ratqs_ini, ONLY: RG,RD,RTT,nbsrf |
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294 | |
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295 | IMPLICIT NONE |
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296 | |
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297 | ! INPUTS |
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298 | |
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299 | |
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300 | INTEGER, INTENT(IN) :: klon ! number of horizontal grid points |
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301 | INTEGER, INTENT(IN) :: klev ! number of vertical layers |
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302 | REAL, DIMENSION(klon) :: s_pblh ! height of the planetary boundary layer(HPBL) |
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303 | REAL, DIMENSION(klon,nbsrf) :: pctsrf ! Fractional cover of subsurfaces |
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304 | REAL, DIMENSION(klon,nbsrf), INTENT(IN) :: t2m ! 2m temperature for each tile [K] |
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305 | REAL, DIMENSION(klon,nbsrf), INTENT(IN) :: q2m ! 2m specific humidity for each tile [kg/kg] |
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306 | REAL, DIMENSION(klon,klev), INTENT(IN) :: temp ! air temperature [K] |
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307 | REAL, DIMENSION(klon,klev), INTENT(IN) :: q ! specific humidity [kg/kg] |
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308 | REAL, DIMENSION(klon,klev), INTENT(IN) :: pplay ! air pressure, layer's center [Pa] |
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309 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: paprs ! air pressure, lower inteface [Pa] |
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310 | |
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311 | ! OUTPUTS |
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312 | |
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313 | REAL, DIMENSION(klon,klev), INTENT(OUT) :: ratqs_hetero_ ! ratsq profile due to surface heterogeneities |
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314 | |
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315 | |
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316 | INTEGER :: i,k,nsrf |
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317 | REAL, DIMENSION(klon) :: xsi0, ratiom, qsat2m, dqsatdT |
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318 | REAL, DIMENSION (klon,klev) :: zlay |
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319 | |
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320 | |
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321 | |
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322 | ! Calculation of near-surface surface ratqs |
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323 | !------------------------------------------- |
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324 | |
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325 | |
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326 | ratiom(:)=0. |
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327 | xsi0(:)=0. |
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328 | |
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329 | DO nsrf=1,nbsrf |
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330 | CALL CALC_QSAT_ECMWF(klon,t2m(:,nsrf),q2m(:,nsrf),paprs(:,1),RTT,0,.FALSE.,qsat2m,dqsatdT) |
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331 | ratiom(:)=ratiom(:)+pctsrf(:,nsrf)*(q2m(:,nsrf)/qsat2m(:)) |
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332 | xsi0(:)=xsi0(:)+pctsrf(:,nsrf)*((q2m(:,nsrf)/qsat2m(:)-ratiom(:))**2) |
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333 | END DO |
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334 | |
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335 | xsi0(:)=sqrt(xsi0(:))/(ratiom(:)+1E-6) |
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336 | |
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337 | |
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338 | |
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339 | ! Vertical profile of ratqs assuming an exponential decrease with height |
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340 | !------------------------------------------------------------------------ |
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341 | |
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342 | ! calculation of geop. height AGL |
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343 | |
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344 | zlay(:,1)= RD*temp(:,1)/(0.5*(paprs(:,1)+pplay(:,1))) & |
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345 | *(paprs(:,1)-pplay(:,1))/RG |
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346 | ratqs_hetero_(:,1)=xsi0(:) |
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347 | |
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348 | DO k=2,klev |
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349 | DO i = 1, klon |
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350 | zlay(i,k)= zlay(i,k-1)+RD*0.5*(temp(i,k-1)+temp(i,k)) & |
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351 | /paprs(i,k)*(pplay(i,k-1)-pplay(i,k))/RG |
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352 | |
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353 | ratqs_hetero_(i,k)=MAX(xsi0(i)*exp(-zlay(i,k)/(s_pblh(i)+1.0)),0.0) |
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354 | END DO |
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355 | END DO |
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356 | |
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357 | END SUBROUTINE ratqs_hetero |
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358 | |
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359 | !============================================= |
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360 | |
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361 | SUBROUTINE ratqs_tke(klon,klev,pdtphys,temp,q,qsat,pplay,paprs,omega,tke,tke_dissip,lmix,wprime,ratqs_tke_) |
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362 | |
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363 | ! References: |
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364 | |
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365 | ! Etienne Vignon: effect of subgrid turbulence on ratqs |
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366 | |
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367 | ! Field, P.R., Hill, A., Furtado, K., Korolev, A., 2014b. Mixed-phase clouds in a turbulent environment. Part |
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368 | ! 2: analytic treatment. Q. J. R. Meteorol. Soc. 21, 2651???2663. https://doi.org/10.1002/qj.2175. |
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369 | |
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370 | ! Furtado, K., Field, P.R., Boutle, I.A., Morcrette, C.R., Wilkinson, J., 2016. A physically-based, subgrid |
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371 | ! parametrization for the production and maintenance of mixed-phase clouds in a general circulation |
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372 | ! model. J. Atmos. Sci. 73, 279???291. https://doi.org/10.1175/JAS-D-15-0021. |
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373 | |
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374 | USE lmdz_ratqs_ini, ONLY: RG,RV,RD,RCPD,RLSTT,RLVTT,RTT |
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375 | |
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376 | IMPLICIT NONE |
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377 | |
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378 | ! INPUTS |
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379 | |
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380 | INTEGER, INTENT(IN) :: klon ! number of horizontal grid points |
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381 | INTEGER, INTENT(IN) :: klev ! number of vertical layers |
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382 | REAL, INTENT(IN) :: pdtphys ! physics time step [s] |
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383 | REAL, DIMENSION(klon,klev), INTENT(IN) :: temp ! air temperature [K] |
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384 | REAL, DIMENSION(klon,klev), INTENT(IN) :: q ! specific humidity [kg/kg] |
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385 | REAL, DIMENSION(klon,klev), INTENT(IN) :: qsat ! saturation specific humidity [kg/kg] |
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386 | REAL, DIMENSION(klon,klev), INTENT(IN) :: pplay ! air pressure, layer's center [Pa] |
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387 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: paprs ! air pressure, lower inteface [Pa] |
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388 | REAL, DIMENSION(klon,klev), INTENT(IN) :: omega ! air pressure, lower inteface [Pa] |
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389 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: tke ! Turbulent Kinetic Energy [m2/s2] |
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390 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: tke_dissip ! Turbulent Kinetic Energy Dissipation rate [m2/s3] |
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391 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: lmix ! Turbulent mixing length |
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392 | REAL, DIMENSION(klon,klev+1), INTENT(IN) :: wprime ! Turbulent vertical velocity scale [m/s] |
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393 | |
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394 | ! OUTPUTS |
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395 | |
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396 | REAL, DIMENSION(klon,klev), INTENT(OUT) :: ratqs_tke_ ! ratsq profile due to subgrid TKE |
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397 | |
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398 | ! LOCAL |
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399 | INTEGER :: i, k |
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400 | REAL :: AA, DD, NW, AAprime, VARLOG,rho,Lvs,taue,lhomo,dissmin,maxvarlog |
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401 | REAL, DIMENSION(klon,klev) :: sigmaw,w |
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402 | REAL, PARAMETER :: C0=10.0 |
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403 | REAL, PARAMETER :: lmin=0.001 |
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404 | REAL, PARAMETER :: ratqsmin=1E-6 |
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405 | REAL, PARAMETER :: ratqsmax=0.5 |
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406 | |
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407 | |
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408 | ! Calculation of large scale and turbulent vertical velocities |
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409 | !--------------------------------------------------------------- |
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410 | |
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411 | DO k=1,klev |
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412 | DO i=1,klon |
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413 | rho=pplay(i,k)/temp(i,k)/RD |
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414 | w(i,k)=-rho*RG*omega(i,k) |
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415 | sigmaw(i,k)=0.5*(wprime(i,k+1)+wprime(i,k)) ! turbulent vertical velocity at the middle of model layers. |
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416 | END DO |
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417 | END DO |
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418 | |
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419 | ! Calculation of ratqs |
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420 | !--------------------------------------------------------------- |
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421 | ratqs_tke_(:,1)=ratqsmin ! set to a very low value to avoid division by 0 in order parts |
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422 | ! of the code |
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423 | DO k=2,klev ! we start from second model level since TKE is not defined at k=1 |
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424 | DO i=1,klon |
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425 | |
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426 | IF (temp(i,k) < RTT) THEN |
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427 | Lvs=RLSTT |
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428 | ELSE |
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429 | Lvs=RLVTT |
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430 | ENDIF |
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431 | dissmin=0.01*(0.5*(tke(i,k)+tke(i,k+1))/pdtphys) |
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432 | maxvarlog=LOG(1.0+ratqsmax**2)! to prevent ratqs from exceeding an arbitrary threshold value |
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433 | AA=RG*(Lvs/(RCPD*temp(i,k)*temp(i,k)*RV) - 1./(RD*temp(i,k))) |
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434 | lhomo=MAX(0.5*(lmix(i,k)+lmix(i,k+1)),lmin) |
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435 | taue=(lhomo*lhomo/MAX(0.5*(tke_dissip(i,k)+tke_dissip(i,k+1)),dissmin))**(1./3) ! Fields et al. 2014 |
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436 | DD=1.0/taue |
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437 | NW=(sigmaw(i,k)**2)*SQRT(2./(C0*MAX(0.5*(tke_dissip(i,k)+tke_dissip(i,k+1)),dissmin))) |
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438 | AAprime=AA*NW |
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439 | VARLOG=AAprime/2./DD |
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440 | VARLOG=MIN(VARLOG,maxvarlog) |
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441 | ratqs_tke_(i,k)=SQRT(MAX(EXP(VARLOG)-1.0,ratqsmin)) |
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442 | END DO |
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443 | END DO |
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444 | END SUBROUTINE ratqs_tke |
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445 | |
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446 | END MODULE lmdz_ratqs_multi |
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