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 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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7 | pk(ij,llm) = ptop + .5*g* theta(ij,llm,1)*rhodz(ij,llm) |
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8 | END DO |
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9 | DO l = llm-1,1,-1 |
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10 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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11 | 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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12 | END DO |
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13 | END DO |
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14 | IF(caldyn_eta == eta_lag) THEN |
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15 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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16 | ps(ij) = pk(ij,1) + .5*g* theta(ij,1,1)*rhodz(ij,1) |
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17 | END DO |
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18 | END IF |
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19 | ! now pk contains the Lagrange multiplier (pressure) |
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20 | ! specific volume 1 = dphi/g/rhodz |
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21 | DO l = 1,llm |
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22 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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23 | geopot(ij,l+1) = geopot(ij,l) + g*rhodz(ij,l) |
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24 | END DO |
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25 | END DO |
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26 | CASE(thermo_theta) |
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27 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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28 | pk(ij,llm) = ptop + .5*g* rhodz(ij,llm) |
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29 | END DO |
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30 | DO l = llm-1,1,-1 |
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31 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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32 | pk(ij,l) = pk(ij,l+1) + (.5*g)*( rhodz(ij,l) + rhodz(ij,l+1) ) |
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33 | END DO |
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34 | END DO |
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35 | IF(caldyn_eta == eta_lag) THEN |
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36 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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37 | ps(ij) = pk(ij,1) + .5*g* rhodz(ij,1) |
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38 | END DO |
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39 | END IF |
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40 | DO l = 1,llm |
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41 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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42 | p_ik = pk(ij,l) |
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43 | exner_ik = cpp * (p_ik/preff) ** kappa |
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44 | gv = (g*kappa)*theta(ij,l,1)*exner_ik/p_ik |
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45 | pk(ij,l) = exner_ik |
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46 | geopot(ij,l+1) = geopot(ij,l) + gv*rhodz(ij,l) |
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47 | END DO |
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48 | END DO |
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49 | CASE(thermo_entropy) |
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50 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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51 | pk(ij,llm) = ptop + .5*g* rhodz(ij,llm) |
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52 | END DO |
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53 | DO l = llm-1,1,-1 |
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54 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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55 | pk(ij,l) = pk(ij,l+1) + (.5*g)*( rhodz(ij,l) + rhodz(ij,l+1) ) |
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56 | END DO |
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57 | END DO |
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58 | IF(caldyn_eta == eta_lag) THEN |
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59 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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60 | ps(ij) = pk(ij,1) + .5*g* rhodz(ij,1) |
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61 | END DO |
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62 | END IF |
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63 | DO l = 1,llm |
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64 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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65 | p_ik = pk(ij,l) |
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66 | temp_ik = Treff*exp((theta(ij,l,1) + Rd*log(p_ik/preff))/cpp) |
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67 | gv = (g*Rd)*temp_ik/p_ik ! specific volume v = Rd*T/p |
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68 | pk(ij,l) = temp_ik |
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69 | geopot(ij,l+1) = geopot(ij,l) + gv*rhodz(ij,l) |
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70 | END DO |
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71 | END DO |
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72 | CASE(thermo_moist) |
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73 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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74 | pk(ij,llm) = ptop + .5*g* rhodz(ij,llm)*(1.+theta(ij,llm,2)) |
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75 | END DO |
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76 | DO l = llm-1,1,-1 |
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77 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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78 | 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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79 | END DO |
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80 | END DO |
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81 | IF(caldyn_eta == eta_lag) THEN |
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82 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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83 | ps(ij) = pk(ij,1) + .5*g* rhodz(ij,1)*(1.+theta(ij,1,2)) |
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84 | END DO |
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85 | END IF |
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86 | DO l = 1,llm |
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87 | DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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88 | p_ik = pk(ij,l) |
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89 | qv = theta(ij,l,2) ! water vaper mixing ratio = mv/md |
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90 | Rmix = Rd+qv*Rv |
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91 | chi = ( theta(ij,l,1) + Rmix*log(p_ik/preff) ) / (cpp + qv*cppv) ! log(T/Treff) |
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92 | temp_ik = Treff*exp(chi) |
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93 | ! specific volume v = R*T/p |
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94 | ! R = (Rd + qv.Rv)/(1+qv) |
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95 | gv = g*Rmix*temp_ik/(p_ik*(1+qv)) |
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96 | pk(ij,l) = temp_ik |
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97 | geopot(ij,l+1) = geopot(ij,l) + gv*rhodz(ij,l) |
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98 | END DO |
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99 | END DO |
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100 | END SELECT |
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101 | !---------------------------- compute_geopot ---------------------------------- |
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102 | !-------------------------------------------------------------------------- |
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