[563] | 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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[724] | 6 | !DIR$ SIMD |
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[563] | 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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[724] | 11 | !DIR$ SIMD |
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[563] | 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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[724] | 17 | !DIR$ SIMD |
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[563] | 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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[724] | 25 | !DIR$ SIMD |
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[563] | 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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[724] | 31 | !DIR$ SIMD |
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[563] | 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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[724] | 36 | !DIR$ SIMD |
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[563] | 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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[724] | 42 | !DIR$ SIMD |
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[563] | 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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[724] | 48 | !DIR$ SIMD |
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[563] | 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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[724] | 58 | !DIR$ SIMD |
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[563] | 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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[724] | 63 | !DIR$ SIMD |
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[563] | 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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[724] | 69 | !DIR$ SIMD |
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[563] | 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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[724] | 75 | !DIR$ SIMD |
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[563] | 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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[836] | 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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[563] | 119 | CASE(thermo_moist) |
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[724] | 120 | !DIR$ SIMD |
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[563] | 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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[724] | 125 | !DIR$ SIMD |
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[563] | 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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[724] | 131 | !DIR$ SIMD |
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[563] | 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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[724] | 137 | !DIR$ SIMD |
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[563] | 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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