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