1 | module lmdz_call_atke |
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2 | |
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3 | USE lmdz_atke_exchange_coeff, ONLY : atke_compute_km_kh |
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4 | |
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5 | implicit none |
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6 | |
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7 | |
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8 | contains |
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9 | |
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10 | subroutine call_atke(dtime,ngrid,nlay,cdrag_uv,cdrag_t,u_surf,v_surf,temp_surf, & |
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11 | wind_u,wind_v,temp,qvap,play,pinterf, & |
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12 | tke,eps,Km_out,Kh_out) |
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13 | |
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14 | |
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15 | |
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16 | |
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17 | USE lmdz_atke_turbulence_ini, ONLY : iflag_num_atke, rg, rd |
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18 | |
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19 | implicit none |
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20 | |
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21 | |
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22 | ! Declarations: |
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23 | !============= |
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24 | |
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25 | REAL, INTENT(IN) :: dtime ! timestep (s) |
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26 | INTEGER, INTENT(IN) :: ngrid ! number of horizontal index (flat grid) |
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27 | INTEGER, INTENT(IN) :: nlay ! number of vertical index |
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28 | |
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29 | |
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30 | REAL, DIMENSION(ngrid), INTENT(IN) :: cdrag_uv ! drag coefficient for wind |
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31 | REAL, DIMENSION(ngrid), INTENT(IN) :: cdrag_t ! drag coefficient for temperature |
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32 | |
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33 | REAL, DIMENSION(ngrid), INTENT(IN) :: u_surf ! x wind velocity at the surface |
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34 | REAL, DIMENSION(ngrid), INTENT(IN) :: v_surf ! y wind velocity at the surface |
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35 | REAL, DIMENSION(ngrid), INTENT(IN) :: temp_surf ! surface temperature |
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36 | |
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37 | REAL, DIMENSION(ngrid,nlay), INTENT(IN) :: wind_u ! zonal velocity (m/s) |
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38 | REAL, DIMENSION(ngrid,nlay), INTENT(IN) :: wind_v ! meridional velocity (m/s) |
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39 | REAL, DIMENSION(ngrid,nlay), INTENT(IN) :: temp ! temperature (K) |
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40 | REAL, DIMENSION(ngrid,nlay), INTENT(IN) :: qvap ! specific humidity (kg/kg) |
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41 | REAL, DIMENSION(ngrid,nlay), INTENT(IN) :: play ! pressure (Pa) |
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42 | REAL, DIMENSION(ngrid,nlay+1), INTENT(IN) :: pinterf ! pressure at interfaces(Pa) |
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43 | |
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44 | |
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45 | REAL, DIMENSION(ngrid,nlay+1), INTENT(INOUT) :: tke ! turbulent kinetic energy at interface between layers |
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46 | |
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47 | REAL, DIMENSION(ngrid,nlay+1), INTENT(OUT) :: eps ! output: tke dissipation rate at interface between layers |
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48 | REAL, DIMENSION(ngrid,nlay), INTENT(OUT) :: Km_out ! output: Exchange coefficient for momentum at interface between layers |
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49 | REAL, DIMENSION(ngrid,nlay), INTENT(OUT) :: Kh_out ! output: Exchange coefficient for heat flux at interface between layers |
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50 | |
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51 | |
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52 | REAL, DIMENSION(ngrid,nlay) :: wind_u_predict, wind_v_predict |
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53 | REAL, DIMENSION(ngrid) :: wind1 |
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54 | INTEGER i |
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55 | |
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56 | |
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57 | call atke_compute_km_kh(ngrid,nlay,dtime,& |
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58 | wind_u,wind_v,temp,qvap,play,pinterf,cdrag_uv,& |
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59 | tke,eps,Km_out,Kh_out) |
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60 | |
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61 | |
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62 | |
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63 | if (iflag_num_atke .EQ. 1) then |
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64 | !! In this case, we make an explicit prediction of the wind shear to calculate the tke in a |
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65 | !! forward backward way |
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66 | !! pay attention that the treatment of the TKE |
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67 | !! has to be adapted when solving the TKE with a prognostic equation |
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68 | |
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69 | do i=1,ngrid |
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70 | wind1(i)=sqrt(wind_u(i,1)**2+wind_v(i,1)**2) |
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71 | enddo |
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72 | call atke_explicit_prediction(ngrid,nlay,rg,rd,dtime,pinterf,play,temp,wind1,wind_u,Km_out,u_surf,cdrag_uv,wind_u_predict) |
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73 | call atke_explicit_prediction(ngrid,nlay,rg,rd,dtime,pinterf,play,temp,wind1,wind_v,Km_out,v_surf,cdrag_uv,wind_v_predict) |
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74 | |
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75 | |
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76 | call atke_compute_km_kh(ngrid,nlay,dtime,& |
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77 | wind_u_predict,wind_v_predict,temp,qvap,play,pinterf,cdrag_uv, & |
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78 | tke,eps,Km_out,Kh_out) |
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79 | |
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80 | end if |
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81 | |
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82 | |
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83 | |
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84 | |
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85 | |
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86 | |
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87 | end subroutine call_atke |
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88 | |
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89 | !---------------------------------------------------------------------------------------- |
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90 | |
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91 | subroutine atke_explicit_prediction(ngrid,nlay,rg,rd,dtime,pinterf,play,temp,wind1,x_in,K_in,x_surf,cdrag,x_predict) |
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92 | |
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93 | INTEGER, INTENT(IN) :: ngrid ! number of horizontal index (flat grid) |
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94 | INTEGER, INTENT(IN) :: nlay ! number of vertical index |
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95 | REAL, INTENT(IN) :: rg,rd,dtime ! gravity, R dry air and timestep |
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96 | REAL, DIMENSION(ngrid,nlay), INTENT(IN) :: play ! pressure middle of layers (Pa) |
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97 | REAL, DIMENSION(ngrid,nlay), INTENT(IN) :: temp ! temperature (K) |
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98 | REAL, DIMENSION(ngrid), INTENT(IN) :: wind1 ! wind speed first level (m/s) |
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99 | REAL, DIMENSION(ngrid,nlay+1), INTENT(IN) :: pinterf ! pressure at interfaces(Pa) |
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100 | REAL, DIMENSION(ngrid,nlay), INTENT(IN) :: x_in ! variable at the beginning of timestep |
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101 | REAL, DIMENSION(ngrid,nlay+1), INTENT(IN) :: K_in ! eddy diffusivity coef at the beginning of time step |
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102 | REAL, DIMENSION(ngrid), INTENT(IN) :: x_surf ! surface variable |
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103 | REAL, DIMENSION(ngrid), INTENT(IN) :: cdrag ! drag coefficient |
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104 | REAL, DIMENSION(ngrid,nlay), INTENT(OUT) :: x_predict ! variable at the end of time step after explicit prediction |
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105 | |
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106 | |
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107 | integer i,k |
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108 | real ml,F1,rho |
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109 | real, dimension(ngrid) :: play1,temp1 |
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110 | real, dimension(ngrid,nlay+1) :: K_big |
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111 | |
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112 | ! computation of K_big |
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113 | |
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114 | play1(:)=play(:,1) |
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115 | temp1(:)=temp(:,1) |
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116 | |
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117 | ! "big K" calculation |
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118 | do k=2,nlay-1 |
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119 | do i=1,ngrid |
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120 | rho=pinterf(i,k)/rd/(0.5*(temp(i,k-1)+temp(i,k))) |
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121 | K_big(i,k)=rg*K_in(i,k)/(play(i,k)-play(i,k+1))*(rho**2) |
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122 | enddo |
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123 | enddo |
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124 | ! speficic treatment for k=nlay |
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125 | do i=1,ngrid |
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126 | rho=pinterf(i,nlay)/rd/temp(i,nlay) |
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127 | K_big(i,nlay)=rg*K_in(i,nlay)/(2*(play(i,nlay)-pinterf(i,nlay+1)))*(rho**2) |
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128 | enddo |
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129 | |
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130 | |
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131 | |
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132 | ! x_predict calculation for 2<=k<=nlay-1 |
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133 | do k=2,nlay-1 |
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134 | do i=1,ngrid |
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135 | ml=(pinterf(i,k)-pinterf(i,k+1))/rg |
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136 | x_predict(i,k)=x_in(i,k)-dtime/ml*(-K_big(i,k+1)*x_in(i,k+1) & |
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137 | + (K_big(i,k)+K_big(i,k+1))*x_in(i,k) & |
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138 | - K_big(i,k)*x_in(i,k-1)) |
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139 | enddo |
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140 | enddo |
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141 | |
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142 | ! Specific treatment for k=1 |
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143 | do i=1,ngrid |
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144 | ml=(pinterf(i,1)-pinterf(i,2))/rg |
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145 | F1=-play1(i)/rd/temp1(i)*wind1(i)*cdrag(i)*(x_in(i,1)-x_surf(i)) ! attention convention sens du flux |
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146 | x_predict(i,1)=x_in(i,1)-dtime/ml*(-K_big(i,2)*(x_in(i,2) - x_in(i,1))-F1) |
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147 | enddo |
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148 | |
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149 | ! Specific treatment for k=nlay |
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150 | ! flux at the top of the atmosphere=0 |
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151 | do i=1,ngrid |
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152 | ml=0.5*(pinterf(i,nlay)-pinterf(i,nlay+1))/rg |
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153 | x_predict(i,nlay)=x_in(i,nlay)+dtime/ml*(K_big(i,nlay)*(x_in(i,nlay)-x_in(i,nlay-1))) |
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154 | enddo |
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155 | |
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156 | |
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157 | end subroutine atke_explicit_prediction |
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158 | |
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159 | |
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160 | |
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161 | end module lmdz_call_atke |
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