[614] | 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 | !$OMP DO SCHEDULE(STATIC) |
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| 7 | DO ij=1,primal_num |
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[686] | 8 | pk(llm,ij) = ptop + .5*g* theta(llm,ij,1)*rhodz(llm,ij) |
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[614] | 9 | DO l = llm-1,1,-1 |
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| 10 | pk(l,ij) = pk(l+1,ij) + (.5*g)*( theta(l,ij,1)*rhodz(l,ij) + theta(l+1,ij,1)*rhodz(l+1,ij) ) |
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| 11 | END DO |
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| 12 | IF(caldyn_eta == eta_lag) THEN |
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[686] | 13 | ps(ij) = pk(1,ij) + .5*g* theta(1,ij,1)*rhodz(1,ij) |
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[614] | 14 | END IF |
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| 15 | END DO |
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| 16 | !$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 | !$OMP DO SCHEDULE(STATIC) |
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| 28 | DO ij=1,primal_num |
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[686] | 29 | pk(llm,ij) = ptop + .5*g* rhodz(llm,ij) |
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[614] | 30 | DO l = llm-1,1,-1 |
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| 31 | pk(l,ij) = pk(l+1,ij) + (.5*g)*( rhodz(l,ij) + rhodz(l+1,ij) ) |
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| 32 | END DO |
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| 33 | IF(caldyn_eta == eta_lag) THEN |
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[686] | 34 | ps(ij) = pk(1,ij) + .5*g* rhodz(1,ij) |
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[614] | 35 | END IF |
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| 36 | END DO |
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| 37 | !$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 | !$OMP DO SCHEDULE(STATIC) |
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| 51 | DO ij=1,primal_num |
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[686] | 52 | pk(llm,ij) = ptop + .5*g* rhodz(llm,ij) |
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[614] | 53 | DO l = llm-1,1,-1 |
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| 54 | pk(l,ij) = pk(l+1,ij) + (.5*g)*( rhodz(l,ij) + rhodz(l+1,ij) ) |
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| 55 | END DO |
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| 56 | IF(caldyn_eta == eta_lag) THEN |
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[686] | 57 | ps(ij) = pk(1,ij) + .5*g* rhodz(1,ij) |
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[614] | 58 | END IF |
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| 59 | END DO |
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| 60 | !$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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[836] | 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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[614] | 103 | CASE(thermo_moist) |
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| 104 | !$OMP DO SCHEDULE(STATIC) |
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| 105 | DO ij=1,primal_num |
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[686] | 106 | pk(llm,ij) = ptop + .5*g* rhodz(llm,ij)*(1.+theta(llm,ij,2)) |
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[614] | 107 | DO l = llm-1,1,-1 |
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| 108 | pk(l,ij) = pk(l+1,ij) + (.5*g)*( rhodz(l,ij)*(1.+theta(l,ij,2)) + rhodz(l+1,ij)*(1.+theta(l+1,ij,2)) ) |
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| 109 | END DO |
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| 110 | IF(caldyn_eta == eta_lag) THEN |
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[686] | 111 | ps(ij) = pk(1,ij) + .5*g* rhodz(1,ij)*(1.+theta(1,ij,2)) |
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[614] | 112 | END IF |
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| 113 | END DO |
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| 114 | !$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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