1 | !-------------------------------------------------------------------------- |
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2 | !---------------------------- compute_geopot ---------------------------------- |
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3 | SELECT CASE(caldyn_thermo) |
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4 | CASE(thermo_boussinesq) |
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5 | ! use hydrostatic balance with theta*rhodz to find pk (=Lagrange multiplier=pressure) |
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6 | !DIR$ SIMD |
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7 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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8 | pk(ij,llm) = ptop + .5*g* theta(ij,llm,1)*rhodz(ij,llm) |
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9 | END DO |
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10 | DO l = llm-1,1,-1 |
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11 | !DIR$ SIMD |
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12 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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13 | pk(ij,l) = pk(ij,l+1) + (.5*g)*( theta(ij,l,1)*rhodz(ij,l) + theta(ij,l+1,1)*rhodz(ij,l+1) ) |
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14 | END DO |
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15 | END DO |
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16 | IF(caldyn_eta == eta_lag) THEN |
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17 | !DIR$ SIMD |
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18 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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19 | ps(ij) = pk(ij,1) + .5*g* theta(ij,1,1)*rhodz(ij,1) |
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20 | END DO |
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21 | END IF |
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22 | ! now pk contains the Lagrange multiplier (pressure) |
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23 | ! specific volume 1 = dphi/g/rhodz |
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24 | DO l = 1,llm |
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25 | !DIR$ SIMD |
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26 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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27 | geopot(ij,l+1) = geopot(ij,l) + g*rhodz(ij,l) |
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28 | END DO |
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29 | END DO |
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30 | CASE(thermo_theta) |
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31 | !DIR$ SIMD |
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32 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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33 | pk(ij,llm) = ptop + .5*g* rhodz(ij,llm) |
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34 | END DO |
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35 | DO l = llm-1,1,-1 |
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36 | !DIR$ SIMD |
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37 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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38 | pk(ij,l) = pk(ij,l+1) + (.5*g)*( rhodz(ij,l) + rhodz(ij,l+1) ) |
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39 | END DO |
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40 | END DO |
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41 | IF(caldyn_eta == eta_lag) THEN |
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42 | !DIR$ SIMD |
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43 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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44 | ps(ij) = pk(ij,1) + .5*g* rhodz(ij,1) |
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45 | END DO |
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46 | END IF |
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47 | DO l = 1,llm |
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48 | !DIR$ SIMD |
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49 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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50 | p_ik = pk(ij,l) |
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51 | exner_ik = cpp * (p_ik/preff) ** kappa |
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52 | gv = (g*kappa)*theta(ij,l,1)*exner_ik/p_ik |
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53 | pk(ij,l) = exner_ik |
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54 | geopot(ij,l+1) = geopot(ij,l) + gv*rhodz(ij,l) |
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55 | END DO |
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56 | END DO |
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57 | CASE(thermo_entropy) |
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58 | !DIR$ SIMD |
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59 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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60 | pk(ij,llm) = ptop + .5*g* rhodz(ij,llm) |
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61 | END DO |
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62 | DO l = llm-1,1,-1 |
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63 | !DIR$ SIMD |
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64 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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65 | pk(ij,l) = pk(ij,l+1) + (.5*g)*( rhodz(ij,l) + rhodz(ij,l+1) ) |
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66 | END DO |
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67 | END DO |
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68 | IF(caldyn_eta == eta_lag) THEN |
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69 | !DIR$ SIMD |
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70 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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71 | ps(ij) = pk(ij,1) + .5*g* rhodz(ij,1) |
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72 | END DO |
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73 | END IF |
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74 | DO l = 1,llm |
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75 | !DIR$ SIMD |
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76 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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77 | p_ik = pk(ij,l) |
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78 | temp_ik = Treff*exp((theta(ij,l,1) + Rd*log(p_ik/preff))/cpp) |
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79 | gv = (g*Rd)*temp_ik/p_ik ! specific volume v = Rd*T/p |
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80 | pk(ij,l) = temp_ik |
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81 | geopot(ij,l+1) = geopot(ij,l) + gv*rhodz(ij,l) |
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82 | END DO |
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83 | END DO |
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84 | CASE(thermo_variable_Cp) |
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85 | ! thermodynamics with variable Cp |
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86 | ! Cp.dT = dh = Tds + vdp |
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87 | ! pv = RT |
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88 | ! => ds = (dh+v.dp)/T = Cp.dT/T - R dp/p |
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89 | ! Cp(T) = Cp0 * (T/T0)^nu |
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90 | ! => s(p,T) = Cp(T)/nu - R log(p/preff) |
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91 | ! h = Cp(T).T/(nu+1) |
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92 | !DIR$ SIMD |
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93 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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94 | pk(ij,llm) = ptop + .5*g* rhodz(ij,llm) |
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95 | END DO |
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96 | DO l = llm-1,1,-1 |
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97 | !DIR$ SIMD |
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98 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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99 | pk(ij,l) = pk(ij,l+1) + (.5*g)*( rhodz(ij,l) + rhodz(ij,l+1) ) |
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100 | END DO |
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101 | END DO |
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102 | IF(caldyn_eta == eta_lag) THEN |
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103 | !DIR$ SIMD |
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104 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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105 | ps(ij) = pk(ij,1) + .5*g* rhodz(ij,1) |
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106 | END DO |
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107 | END IF |
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108 | DO l = 1,llm |
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109 | !DIR$ SIMD |
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110 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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111 | p_ik = pk(ij,l) |
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112 | Cp_ik = nu*( theta(ij,l,1) + Rd*log(p_ik/preff) ) |
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113 | temp_ik = Treff* (Cp_ik/cpp)**(1./nu) |
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114 | gv = (g*Rd)*temp_ik/p_ik ! specific volume v = Rd*T/p |
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115 | pk(ij,l) = temp_ik |
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116 | geopot(ij,l+1) = geopot(ij,l) + gv*rhodz(ij,l) |
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117 | END DO |
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118 | END DO |
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119 | CASE(thermo_moist) |
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120 | !DIR$ SIMD |
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121 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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122 | pk(ij,llm) = ptop + .5*g* rhodz(ij,llm)*(1.+theta(ij,llm,2)) |
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123 | END DO |
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124 | DO l = llm-1,1,-1 |
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125 | !DIR$ SIMD |
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126 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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127 | pk(ij,l) = pk(ij,l+1) + (.5*g)*( rhodz(ij,l)*(1.+theta(ij,l,2)) + rhodz(ij,l+1)*(1.+theta(ij,l+1,2)) ) |
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128 | END DO |
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129 | END DO |
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130 | IF(caldyn_eta == eta_lag) THEN |
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131 | !DIR$ SIMD |
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132 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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133 | ps(ij) = pk(ij,1) + .5*g* rhodz(ij,1)*(1.+theta(ij,1,2)) |
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134 | END DO |
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135 | END IF |
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136 | DO l = 1,llm |
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137 | !DIR$ SIMD |
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138 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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139 | p_ik = pk(ij,l) |
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140 | qv = theta(ij,l,2) ! water vaper mixing ratio = mv/md |
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141 | Rmix = Rd+qv*Rv |
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142 | chi = ( theta(ij,l,1) + Rmix*log(p_ik/preff) ) / (cpp + qv*cppv) ! log(T/Treff) |
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143 | temp_ik = Treff*exp(chi) |
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144 | ! specific volume v = R*T/p |
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145 | ! R = (Rd + qv.Rv)/(1+qv) |
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146 | gv = g*Rmix*temp_ik/(p_ik*(1+qv)) |
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147 | pk(ij,l) = temp_ik |
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148 | geopot(ij,l+1) = geopot(ij,l) + gv*rhodz(ij,l) |
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149 | END DO |
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150 | END DO |
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151 | END SELECT |
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152 | !---------------------------- compute_geopot ---------------------------------- |
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153 | !-------------------------------------------------------------------------- |
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