[362] | 1 | MODULE caldyn_kernels_hevi_mod |
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| 2 | USE icosa |
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[369] | 3 | USE trace |
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| 4 | USE omp_para |
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| 5 | USE disvert_mod |
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[362] | 6 | USE transfert_mod |
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| 7 | USE caldyn_kernels_base_mod |
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[953] | 8 | USE abort_mod |
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[362] | 9 | IMPLICIT NONE |
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| 10 | PRIVATE |
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| 11 | |
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[580] | 12 | REAL(rstd), PARAMETER :: pbot=1e5, rho_bot=1e6 |
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[368] | 13 | |
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[555] | 14 | LOGICAL, SAVE :: debug_hevi_solver = .FALSE. |
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[368] | 15 | |
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[369] | 16 | PUBLIC :: compute_theta, compute_pvort_only, compute_caldyn_Coriolis, & |
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| 17 | compute_caldyn_slow_hydro, compute_caldyn_slow_NH, & |
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[366] | 18 | compute_caldyn_solver, compute_caldyn_fast |
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[362] | 19 | |
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| 20 | CONTAINS |
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| 21 | |
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[954] | 22 | SUBROUTINE compute_theta(ps,theta_rhodz, rhodz,theta, mass_dak, mass_dbk) |
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[404] | 23 | REAL(rstd),INTENT(IN) :: ps(iim*jjm) |
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| 24 | REAL(rstd),INTENT(IN) :: theta_rhodz(iim*jjm,llm,nqdyn) |
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[362] | 25 | REAL(rstd),INTENT(INOUT) :: rhodz(iim*jjm,llm) |
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[404] | 26 | REAL(rstd),INTENT(OUT) :: theta(iim*jjm,llm,nqdyn) |
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[954] | 27 | REAL(rstd),INTENT(IN) :: mass_dak(llm) |
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| 28 | REAL(rstd),INTENT(IN) :: mass_dbk(llm) |
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[404] | 29 | INTEGER :: ij,l,iq |
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[362] | 30 | REAL(rstd) :: m |
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[953] | 31 | |
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[404] | 32 | CALL trace_start("compute_theta") |
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[362] | 33 | |
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[953] | 34 | !$acc data async & |
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| 35 | !$acc present(ps(:), theta_rhodz(:,:,:), rhodz(:,:), theta(:,:,:), mass_dak(:), mass_dbk(:)) |
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| 36 | |
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[404] | 37 | IF(caldyn_eta==eta_mass) THEN ! Compute mass |
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[953] | 38 | !$acc parallel loop collapse(2) async |
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[362] | 39 | DO l = ll_begin,ll_end |
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| 40 | !DIR$ SIMD |
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| 41 | DO ij=ij_begin_ext,ij_end_ext |
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[521] | 42 | m = mass_dak(l)+(ps(ij)*g+ptop)*mass_dbk(l) ! ps is actually Ms |
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[362] | 43 | rhodz(ij,l) = m/g |
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[404] | 44 | END DO |
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| 45 | END DO |
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| 46 | END IF |
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| 47 | |
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[953] | 48 | !$acc parallel loop collapse(3) async |
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| 49 | DO iq=1,nqdyn |
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| 50 | DO l = ll_begin,ll_end |
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[362] | 51 | !DIR$ SIMD |
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| 52 | DO ij=ij_begin_ext,ij_end_ext |
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[404] | 53 | theta(ij,l,iq) = theta_rhodz(ij,l,iq)/rhodz(ij,l) |
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| 54 | END DO |
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| 55 | END DO |
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| 56 | END DO |
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[362] | 57 | |
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[953] | 58 | !$acc end data |
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[362] | 59 | CALL trace_end("compute_theta") |
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| 60 | END SUBROUTINE compute_theta |
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| 61 | |
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[954] | 62 | SUBROUTINE compute_pvort_only(u,rhodz,qu,qv,Av,Riv2,fv) |
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[362] | 63 | REAL(rstd),INTENT(IN) :: u(iim*3*jjm,llm) |
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| 64 | REAL(rstd),INTENT(INOUT) :: rhodz(iim*jjm,llm) |
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| 65 | REAL(rstd),INTENT(OUT) :: qu(iim*3*jjm,llm) |
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| 66 | REAL(rstd),INTENT(OUT) :: qv(iim*2*jjm,llm) |
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[954] | 67 | REAL(rstd),INTENT(IN) :: Av(2*iim*jjm) |
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| 68 | REAL(rstd),INTENT(IN) :: Riv2(iim*jjm,6) |
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| 69 | REAL(rstd),INTENT(IN) :: fv(2*iim*jjm) |
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[362] | 70 | |
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| 71 | INTEGER :: ij,l |
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| 72 | REAL(rstd) :: etav,hv,radius_m2 |
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| 73 | |
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| 74 | CALL trace_start("compute_pvort_only") |
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| 75 | !!! Compute shallow-water potential vorticity |
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[953] | 76 | |
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[580] | 77 | IF(dysl_pvort_only) THEN |
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[953] | 78 | CALL abort_acc("HEVI_scheme/dysl_pvort_only") |
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[555] | 79 | #include "../kernels/pvort_only.k90" |
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[580] | 80 | ELSE |
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| 81 | |
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[953] | 82 | !$acc data async & |
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| 83 | !$acc present(rhodz(:,:), u(:,:), qu(:,:), qv(:,:), Av(:), Riv2(:,:), fv(:)) |
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| 84 | |
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[362] | 85 | radius_m2=radius**(-2) |
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[953] | 86 | !$acc parallel loop collapse(2) async |
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[362] | 87 | DO l = ll_begin,ll_end |
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| 88 | !DIR$ SIMD |
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| 89 | DO ij=ij_begin_ext,ij_end_ext |
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[521] | 90 | etav= 1./Av(ij+z_up)*( ne_rup * u(ij+u_rup,l) & |
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| 91 | + ne_left * u(ij+t_rup+u_left,l) & |
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| 92 | - ne_lup * u(ij+u_lup,l) ) |
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| 93 | hv = Riv2(ij,vup) * rhodz(ij,l) & |
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| 94 | + Riv2(ij+t_rup,vldown) * rhodz(ij+t_rup,l) & |
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| 95 | + Riv2(ij+t_lup,vrdown) * rhodz(ij+t_lup,l) |
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| 96 | qv(ij+z_up,l) = ( etav+fv(ij+z_up) )/hv |
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| 97 | |
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| 98 | etav = 1./Av(ij+z_down)*( ne_ldown * u(ij+u_ldown,l) & |
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| 99 | + ne_right * u(ij+t_ldown+u_right,l) & |
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| 100 | - ne_rdown * u(ij+u_rdown,l) ) |
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| 101 | hv = Riv2(ij,vdown) * rhodz(ij,l) & |
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| 102 | + Riv2(ij+t_ldown,vrup) * rhodz(ij+t_ldown,l) & |
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| 103 | + Riv2(ij+t_rdown,vlup) * rhodz(ij+t_rdown,l) |
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| 104 | qv(ij+z_down,l) =( etav+fv(ij+z_down) )/hv |
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[362] | 105 | ENDDO |
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[953] | 106 | END DO |
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[362] | 107 | |
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[953] | 108 | !$acc parallel loop collapse(2) async |
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| 109 | DO l = ll_begin,ll_end |
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[362] | 110 | !DIR$ SIMD |
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| 111 | DO ij=ij_begin,ij_end |
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| 112 | qu(ij+u_right,l) = 0.5*(qv(ij+z_rdown,l)+qv(ij+z_rup,l)) |
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| 113 | qu(ij+u_lup,l) = 0.5*(qv(ij+z_up,l)+qv(ij+z_lup,l)) |
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| 114 | qu(ij+u_ldown,l) = 0.5*(qv(ij+z_ldown,l)+qv(ij+z_down,l)) |
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| 115 | END DO |
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| 116 | |
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| 117 | ENDDO |
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[953] | 118 | |
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| 119 | !$acc end data |
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[580] | 120 | |
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| 121 | END IF ! dysl |
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[953] | 122 | |
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[362] | 123 | CALL trace_end("compute_pvort_only") |
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| 124 | |
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| 125 | END SUBROUTINE compute_pvort_only |
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| 126 | |
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[580] | 127 | SUBROUTINE compute_NH_geopot(tau, phis, m_ik, m_il, theta, W_il, Phi_il) |
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[368] | 128 | REAL(rstd),INTENT(IN) :: tau ! solve Phi-tau*dPhi/dt = Phi_rhs |
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[580] | 129 | REAL(rstd),INTENT(IN) :: phis(iim*jjm) |
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[368] | 130 | REAL(rstd),INTENT(IN) :: m_ik(iim*jjm,llm) |
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| 131 | REAL(rstd),INTENT(IN) :: m_il(iim*jjm,llm+1) |
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| 132 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm) |
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| 133 | REAL(rstd),INTENT(IN) :: W_il(iim*jjm,llm+1) ! vertical momentum |
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| 134 | REAL(rstd),INTENT(INOUT) :: Phi_il(iim*jjm,llm+1) ! geopotential |
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| 135 | |
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| 136 | REAL(rstd) :: Phi_star_il(iim*jjm,llm+1) |
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| 137 | REAL(rstd) :: p_ik(iim*jjm,llm) ! pressure |
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| 138 | REAL(rstd) :: R_il(iim*jjm,llm+1) ! rhs of tridiag problem |
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| 139 | REAL(rstd) :: x_il(iim*jjm,llm+1) ! solution of tridiag problem |
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| 140 | REAL(rstd) :: A_ik(iim*jjm,llm) ! off-diagonal coefficients of tridiag problem |
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| 141 | REAL(rstd) :: B_il(iim*jjm,llm+1) ! diagonal coefficients of tridiag problem |
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| 142 | REAL(rstd) :: C_ik(iim*jjm,llm) ! Thomas algorithm |
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| 143 | REAL(rstd) :: D_il(iim*jjm,llm+1) ! Thomas algorithm |
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[899] | 144 | REAL(rstd) :: gamma, rho_ij, X_ij |
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| 145 | REAL(rstd) :: tau2_g, g2, gm2, ml_g2, c2_mik |
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[368] | 146 | |
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[555] | 147 | INTEGER :: iter, ij, l, ij_omp_begin_ext, ij_omp_end_ext |
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[368] | 148 | |
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[604] | 149 | CALL distrib_level(ij_begin_ext,ij_end_ext, ij_omp_begin_ext,ij_omp_end_ext) |
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[555] | 150 | |
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[580] | 151 | IF(dysl) THEN |
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| 152 | #define PHI_BOT(ij) phis(ij) |
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[555] | 153 | #include "../kernels/compute_NH_geopot.k90" |
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[580] | 154 | #undef PHI_BOT |
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| 155 | ELSE |
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[368] | 156 | ! FIXME : vertical OpenMP parallelism will not work |
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| 157 | |
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| 158 | tau2_g=tau*tau/g |
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| 159 | g2=g*g |
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[899] | 160 | gm2 = g**(-2) |
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[368] | 161 | gamma = 1./(1.-kappa) |
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| 162 | |
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| 163 | ! compute Phi_star |
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| 164 | DO l=1,llm+1 |
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| 165 | !DIR$ SIMD |
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| 166 | DO ij=ij_begin_ext,ij_end_ext |
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| 167 | Phi_star_il(ij,l) = Phi_il(ij,l) + tau*g2*(W_il(ij,l)/m_il(ij,l)-tau) |
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| 168 | ENDDO |
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| 169 | ENDDO |
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| 170 | |
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| 171 | ! Newton-Raphson iteration : Phi_il contains current guess value |
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[377] | 172 | DO iter=1,5 ! 2 iterations should be enough |
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[368] | 173 | |
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| 174 | ! Compute pressure, A_ik |
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| 175 | DO l=1,llm |
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| 176 | !DIR$ SIMD |
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| 177 | DO ij=ij_begin_ext,ij_end_ext |
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| 178 | rho_ij = (g*m_ik(ij,l))/(Phi_il(ij,l+1)-Phi_il(ij,l)) |
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| 179 | X_ij = (cpp/preff)*kappa*theta(ij,l)*rho_ij |
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| 180 | p_ik(ij,l) = preff*(X_ij**gamma) |
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| 181 | c2_mik = gamma*p_ik(ij,l)/(rho_ij*m_ik(ij,l)) ! c^2 = gamma*R*T = gamma*p/rho |
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| 182 | A_ik(ij,l) = c2_mik*(tau/g*rho_ij)**2 |
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| 183 | ENDDO |
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| 184 | ENDDO |
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| 185 | |
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| 186 | ! Compute residual, B_il |
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| 187 | ! bottom interface l=1 |
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| 188 | !DIR$ SIMD |
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| 189 | DO ij=ij_begin_ext,ij_end_ext |
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| 190 | ml_g2 = gm2*m_il(ij,1) |
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| 191 | B_il(ij,1) = A_ik(ij,1) + ml_g2 + tau2_g*rho_bot |
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| 192 | R_il(ij,1) = ml_g2*( Phi_il(ij,1)-Phi_star_il(ij,1)) & |
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[580] | 193 | + tau2_g*( p_ik(ij,1)-pbot+rho_bot*(Phi_il(ij,1)-phis(ij)) ) |
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[368] | 194 | ENDDO |
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| 195 | ! inner interfaces |
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| 196 | DO l=2,llm |
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| 197 | !DIR$ SIMD |
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| 198 | DO ij=ij_begin_ext,ij_end_ext |
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| 199 | ml_g2 = gm2*m_il(ij,l) |
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| 200 | B_il(ij,l) = A_ik(ij,l)+A_ik(ij,l-1) + ml_g2 |
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| 201 | R_il(ij,l) = ml_g2*( Phi_il(ij,l)-Phi_star_il(ij,l)) & |
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| 202 | + tau2_g*(p_ik(ij,l)-p_ik(ij,l-1)) |
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| 203 | ! consistency check : if Wil=0 and initial state is in hydrostatic balance |
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| 204 | ! then Phi_star_il(ij,l) = Phi_il(ij,l) - tau^2*g^2 |
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| 205 | ! and residual = tau^2*(ml+(1/g)dl_pi)=0 |
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| 206 | ENDDO |
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| 207 | ENDDO |
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| 208 | ! top interface l=llm+1 |
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| 209 | !DIR$ SIMD |
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| 210 | DO ij=ij_begin_ext,ij_end_ext |
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| 211 | ml_g2 = gm2*m_il(ij,llm+1) |
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| 212 | B_il(ij,llm+1) = A_ik(ij,llm) + ml_g2 |
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| 213 | R_il(ij,llm+1) = ml_g2*( Phi_il(ij,llm+1)-Phi_star_il(ij,llm+1)) & |
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| 214 | + tau2_g*( ptop-p_ik(ij,llm) ) |
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| 215 | ENDDO |
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| 216 | |
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| 217 | ! FIXME later |
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| 218 | ! the lines below modify the tridiag problem |
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| 219 | ! for flat, rigid boundary conditions at top and bottom : |
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| 220 | ! zero out A(1), A(llm), R(1), R(llm+1) |
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| 221 | ! => x(l)=0 at l=1,llm+1 |
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| 222 | DO ij=ij_begin_ext,ij_end_ext |
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| 223 | A_ik(ij,1) = 0. |
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| 224 | A_ik(ij,llm) = 0. |
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| 225 | R_il(ij,1) = 0. |
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| 226 | R_il(ij,llm+1) = 0. |
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| 227 | ENDDO |
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| 228 | |
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| 229 | IF(debug_hevi_solver) THEN ! print Linf(residual) |
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| 230 | PRINT *, '[hevi_solver] R,p', iter, MAXVAL(ABS(R_il)), MAXVAL(p_ik) |
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| 231 | END IF |
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| 232 | |
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| 233 | ! Solve -A(l-1)x(l-1) + B(l)x(l) - A(l)x(l+1) = R(l) using Thomas algorithm |
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| 234 | ! Forward sweep : |
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| 235 | ! C(0)=0, C(l) = -A(l) / (B(l)+A(l-1)C(l-1)), |
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| 236 | ! D(0)=0, D(l) = (R(l)+A(l-1)D(l-1)) / (B(l)+A(l-1)C(l-1)) |
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| 237 | ! bottom interface l=1 |
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| 238 | !DIR$ SIMD |
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| 239 | DO ij=ij_begin_ext,ij_end_ext |
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| 240 | X_ij = 1./B_il(ij,1) |
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| 241 | C_ik(ij,1) = -A_ik(ij,1) * X_ij |
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| 242 | D_il(ij,1) = R_il(ij,1) * X_ij |
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| 243 | ENDDO |
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| 244 | ! inner interfaces/layers |
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| 245 | DO l=2,llm |
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| 246 | !DIR$ SIMD |
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| 247 | DO ij=ij_begin_ext,ij_end_ext |
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| 248 | X_ij = 1./(B_il(ij,l) + A_ik(ij,l-1)*C_ik(ij,l-1)) |
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| 249 | C_ik(ij,l) = -A_ik(ij,l) * X_ij |
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| 250 | D_il(ij,l) = (R_il(ij,l)+A_ik(ij,l-1)*D_il(ij,l-1)) * X_ij |
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| 251 | ENDDO |
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| 252 | ENDDO |
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| 253 | ! top interface l=llm+1 |
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| 254 | !DIR$ SIMD |
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| 255 | DO ij=ij_begin_ext,ij_end_ext |
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| 256 | X_ij = 1./(B_il(ij,llm+1) + A_ik(ij,llm)*C_ik(ij,llm)) |
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| 257 | D_il(ij,llm+1) = (R_il(ij,llm+1)+A_ik(ij,llm)*D_il(ij,llm)) * X_ij |
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| 258 | ENDDO |
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| 259 | |
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| 260 | ! Back substitution : |
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| 261 | ! x(i) = D(i)-C(i)x(i+1), x(N+1)=0 |
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| 262 | ! + Newton-Raphson update |
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| 263 | x_il=0. ! FIXME |
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| 264 | ! top interface l=llm+1 |
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| 265 | !DIR$ SIMD |
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| 266 | DO ij=ij_begin_ext,ij_end_ext |
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| 267 | x_il(ij,llm+1) = D_il(ij,llm+1) |
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| 268 | Phi_il(ij,llm+1) = Phi_il(ij,llm+1) - x_il(ij,llm+1) |
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| 269 | ENDDO |
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| 270 | ! lower interfaces |
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| 271 | DO l=llm,1,-1 |
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| 272 | !DIR$ SIMD |
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| 273 | DO ij=ij_begin_ext,ij_end_ext |
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| 274 | x_il(ij,l) = D_il(ij,l) - C_ik(ij,l)*x_il(ij,l+1) |
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| 275 | Phi_il(ij,l) = Phi_il(ij,l) - x_il(ij,l) |
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| 276 | ENDDO |
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| 277 | ENDDO |
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| 278 | |
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| 279 | IF(debug_hevi_solver) THEN |
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| 280 | PRINT *, '[hevi_solver] A,B', iter, MAXVAL(ABS(A_ik)),MAXVAL(ABS(B_il)) |
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| 281 | PRINT *, '[hevi_solver] C,D', iter, MAXVAL(ABS(C_ik)),MAXVAL(ABS(D_il)) |
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| 282 | DO l=1,llm+1 |
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[899] | 283 | WRITE(*,'(A,I2.1,I3.2,E9.2)') '[hevi_solver] x', iter,l, MAXVAL(ABS(x_il(:,l))) |
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[368] | 284 | END DO |
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| 285 | END IF |
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| 286 | |
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| 287 | END DO ! Newton-Raphson |
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[555] | 288 | |
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[580] | 289 | END IF ! dysl |
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[368] | 290 | |
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| 291 | END SUBROUTINE compute_NH_geopot |
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| 292 | |
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[580] | 293 | SUBROUTINE compute_caldyn_solver(tau,phis, rhodz,theta,pk, geopot,W, m_il,pres, dPhi,dW,du) |
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[366] | 294 | REAL(rstd),INTENT(IN) :: tau ! "solve" Phi-tau*dPhi/dt = Phi_rhs |
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[580] | 295 | REAL(rstd),INTENT(IN) :: phis(iim*jjm) |
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[366] | 296 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) |
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[555] | 297 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) |
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[366] | 298 | REAL(rstd),INTENT(OUT) :: pk(iim*jjm,llm) |
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| 299 | REAL(rstd),INTENT(INOUT) :: geopot(iim*jjm,llm+1) |
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| 300 | REAL(rstd),INTENT(INOUT) :: W(iim*jjm,llm+1) ! OUT if tau>0 |
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[561] | 301 | REAL(rstd),INTENT(OUT) :: m_il(iim*jjm,llm+1) ! rhodz averaged to interfaces |
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| 302 | REAL(rstd),INTENT(OUT) :: pres(iim*jjm,llm) ! pressure |
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[366] | 303 | REAL(rstd),INTENT(OUT) :: dW(iim*jjm,llm+1) |
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| 304 | REAL(rstd),INTENT(OUT) :: dPhi(iim*jjm,llm+1) |
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[369] | 305 | REAL(rstd),INTENT(OUT) :: du(3*iim*jjm,llm) |
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[366] | 306 | |
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[561] | 307 | REAL(rstd) :: berni(iim*jjm,llm) ! (W/m_il)^2 |
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[580] | 308 | REAL(rstd) :: berni1(iim*jjm) ! (W/m_il)^2 |
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[899] | 309 | REAL(rstd) :: gamma, rho_ij, T_ij, X_ij, vreff, Rd, Cvd |
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[368] | 310 | INTEGER :: ij, l |
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[366] | 311 | |
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| 312 | CALL trace_start("compute_caldyn_solver") |
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| 313 | |
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[555] | 314 | Rd=cpp*kappa |
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| 315 | |
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[580] | 316 | IF(dysl) THEN |
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| 317 | |
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[561] | 318 | !$OMP BARRIER |
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[580] | 319 | #define PHI_BOT(ij) phis(ij) |
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| 320 | #define PHI_BOT_VAR phis |
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[555] | 321 | #include "../kernels/caldyn_solver.k90" |
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[580] | 322 | #undef PHI_BOT_VAR |
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| 323 | #undef PHI_BOT |
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[561] | 324 | !$OMP BARRIER |
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[580] | 325 | |
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| 326 | ELSE |
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| 327 | |
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| 328 | #define BERNI(ij) berni1(ij) |
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[368] | 329 | ! FIXME : vertical OpenMP parallelism will not work |
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[366] | 330 | |
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[368] | 331 | ! average m_ik to interfaces => m_il |
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| 332 | !DIR$ SIMD |
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| 333 | DO ij=ij_begin_ext,ij_end_ext |
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| 334 | m_il(ij,1) = .5*rhodz(ij,1) |
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| 335 | ENDDO |
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| 336 | DO l=2,llm |
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| 337 | !DIR$ SIMD |
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| 338 | DO ij=ij_begin_ext,ij_end_ext |
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| 339 | m_il(ij,l) = .5*(rhodz(ij,l-1)+rhodz(ij,l)) |
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| 340 | ENDDO |
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| 341 | ENDDO |
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| 342 | !DIR$ SIMD |
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| 343 | DO ij=ij_begin_ext,ij_end_ext |
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| 344 | m_il(ij,llm+1) = .5*rhodz(ij,llm) |
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| 345 | ENDDO |
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| 346 | |
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| 347 | IF(tau>0) THEN ! solve implicit problem for geopotential |
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[580] | 348 | CALL compute_NH_geopot(tau, phis, rhodz, m_il, theta, W, geopot) |
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[366] | 349 | END IF |
---|
| 350 | |
---|
| 351 | ! Compute pressure, stored temporarily in pk |
---|
| 352 | ! kappa = R/Cp |
---|
| 353 | ! 1-kappa = Cv/Cp |
---|
| 354 | ! Cp/Cv = 1/(1-kappa) |
---|
| 355 | gamma = 1./(1.-kappa) |
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[368] | 356 | DO l=1,llm |
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[366] | 357 | !DIR$ SIMD |
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[368] | 358 | DO ij=ij_begin_ext,ij_end_ext |
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[366] | 359 | rho_ij = (g*rhodz(ij,l))/(geopot(ij,l+1)-geopot(ij,l)) |
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[555] | 360 | X_ij = (cpp/preff)*kappa*theta(ij,l,1)*rho_ij |
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[366] | 361 | ! kappa.theta.rho = p/exner |
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| 362 | ! => X = (p/p0)/(exner/Cp) |
---|
| 363 | ! = (p/p0)^(1-kappa) |
---|
| 364 | pk(ij,l) = preff*(X_ij**gamma) |
---|
| 365 | ENDDO |
---|
| 366 | ENDDO |
---|
| 367 | |
---|
[369] | 368 | ! Update W, compute tendencies |
---|
[368] | 369 | DO l=2,llm |
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[366] | 370 | !DIR$ SIMD |
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[368] | 371 | DO ij=ij_begin_ext,ij_end_ext |
---|
| 372 | dW(ij,l) = (1./g)*(pk(ij,l-1)-pk(ij,l)) - m_il(ij,l) |
---|
| 373 | W(ij,l) = W(ij,l)+tau*dW(ij,l) ! update W |
---|
| 374 | dPhi(ij,l) = g*g*W(ij,l)/m_il(ij,l) |
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[366] | 375 | ENDDO |
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| 376 | ! PRINT *,'Max dPhi', l,ij_begin,ij_end, MAXVAL(abs(dPhi(ij_begin:ij_end,l))) |
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| 377 | ! PRINT *,'Max dW', l,ij_begin,ij_end, MAXVAL(abs(dW(ij_begin:ij_end,l))) |
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| 378 | ENDDO |
---|
| 379 | ! Lower BC (FIXME : no orography yet !) |
---|
| 380 | DO ij=ij_begin,ij_end |
---|
| 381 | dPhi(ij,1)=0 |
---|
| 382 | W(ij,1)=0 |
---|
| 383 | dW(ij,1)=0 |
---|
| 384 | dPhi(ij,llm+1)=0 ! rigid lid |
---|
| 385 | W(ij,llm+1)=0 |
---|
| 386 | dW(ij,llm+1)=0 |
---|
| 387 | ENDDO |
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| 388 | ! Upper BC p=ptop |
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[368] | 389 | ! DO ij=ij_omp_begin_ext,ij_omp_end_ext |
---|
| 390 | ! dPhi(ij,llm+1) = W(ij,llm+1)/rhodz(ij,llm) |
---|
| 391 | ! dW(ij,llm+1) = (1./g)*(pk(ij,llm)-ptop) - .5*rhodz(ij,llm) |
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| 392 | ! ENDDO |
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[366] | 393 | |
---|
[375] | 394 | ! Compute Exner function (needed by compute_caldyn_fast) and du=-g^2.grad(w^2) |
---|
[368] | 395 | DO l=1,llm |
---|
[366] | 396 | !DIR$ SIMD |
---|
[368] | 397 | DO ij=ij_begin_ext,ij_end_ext |
---|
[366] | 398 | pk(ij,l) = cpp*((pk(ij,l)/preff)**kappa) ! other formulae possible if exponentiation is slow |
---|
[555] | 399 | BERNI(ij) = (-.25*g*g)*( & |
---|
[375] | 400 | (W(ij,l)/m_il(ij,l))**2 & |
---|
[369] | 401 | + (W(ij,l+1)/m_il(ij,l+1))**2 ) |
---|
[366] | 402 | ENDDO |
---|
[369] | 403 | DO ij=ij_begin,ij_end |
---|
[555] | 404 | du(ij+u_right,l) = ne_right*(BERNI(ij)-BERNI(ij+t_right)) |
---|
| 405 | du(ij+u_lup,l) = ne_lup *(BERNI(ij)-BERNI(ij+t_lup)) |
---|
| 406 | du(ij+u_ldown,l) = ne_ldown*(BERNI(ij)-BERNI(ij+t_ldown)) |
---|
[369] | 407 | ENDDO |
---|
[366] | 408 | ENDDO |
---|
[555] | 409 | #undef BERNI |
---|
| 410 | |
---|
[580] | 411 | END IF ! dysl |
---|
| 412 | |
---|
[366] | 413 | CALL trace_end("compute_caldyn_solver") |
---|
| 414 | |
---|
| 415 | END SUBROUTINE compute_caldyn_solver |
---|
| 416 | |
---|
| 417 | SUBROUTINE compute_caldyn_fast(tau,u,rhodz,theta,pk,geopot,du) |
---|
| 418 | REAL(rstd),INTENT(IN) :: tau ! "solve" u-tau*du/dt = rhs |
---|
| 419 | REAL(rstd),INTENT(INOUT) :: u(iim*3*jjm,llm) ! OUT if tau>0 |
---|
| 420 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) |
---|
[405] | 421 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) |
---|
[366] | 422 | REAL(rstd),INTENT(INOUT) :: pk(iim*jjm,llm) |
---|
| 423 | REAL(rstd),INTENT(INOUT) :: geopot(iim*jjm,llm+1) |
---|
[369] | 424 | REAL(rstd),INTENT(INOUT) :: du(iim*3*jjm,llm) |
---|
[362] | 425 | REAL(rstd) :: berni(iim*jjm,llm) ! Bernoulli function |
---|
[405] | 426 | REAL(rstd) :: berniv(iim*jjm,llm) ! moist Bernoulli function |
---|
[362] | 427 | |
---|
[899] | 428 | INTEGER :: ij,l |
---|
[555] | 429 | REAL(rstd) :: Rd, qv, temp, chi, nu, due, due_right, due_lup, due_ldown |
---|
[362] | 430 | |
---|
| 431 | CALL trace_start("compute_caldyn_fast") |
---|
[366] | 432 | |
---|
[405] | 433 | Rd=cpp*kappa |
---|
| 434 | |
---|
[580] | 435 | IF(dysl_caldyn_fast) THEN |
---|
[953] | 436 | CALL abort_acc("HEVI_scheme/dysl_caldyn_fast") |
---|
[555] | 437 | #include "../kernels/caldyn_fast.k90" |
---|
[580] | 438 | ELSE |
---|
| 439 | |
---|
[362] | 440 | |
---|
[953] | 441 | ! Default case : ported to openacc |
---|
| 442 | IF(.not. boussinesq .and. caldyn_thermo /= thermo_moist) THEN |
---|
| 443 | !$acc data async & |
---|
| 444 | !$acc present(rhodz(:,:), u(:,:),pk(:,:), geopot(:,:), theta(:,:,:), du(:,:)) |
---|
| 445 | |
---|
| 446 | #define BERNI(ij) .5*(geopot(ij,l)+geopot(ij,l+1)) |
---|
| 447 | !$acc parallel loop collapse(2) async |
---|
| 448 | DO l=ll_begin,ll_end |
---|
[401] | 449 | !DIR$ SIMD |
---|
[953] | 450 | DO ij=ij_begin,ij_end |
---|
| 451 | due_right = 0.5*(theta(ij,l,1)+theta(ij+t_right,l,1)) & |
---|
| 452 | *(pk(ij+t_right,l)-pk(ij,l)) & |
---|
| 453 | + BERNI(ij+t_right)-BERNI(ij) |
---|
| 454 | due_lup = 0.5*(theta(ij,l,1)+theta(ij+t_lup,l,1)) & |
---|
| 455 | *(pk(ij+t_lup,l)-pk(ij,l)) & |
---|
| 456 | + BERNI(ij+t_lup)-BERNI(ij) |
---|
| 457 | due_ldown = 0.5*(theta(ij,l,1)+theta(ij+t_ldown,l,1)) & |
---|
| 458 | *(pk(ij+t_ldown,l)-pk(ij,l)) & |
---|
| 459 | + BERNI(ij+t_ldown)-BERNI(ij) |
---|
| 460 | du(ij+u_right,l) = du(ij+u_right,l) - ne_right*due_right |
---|
| 461 | du(ij+u_lup,l) = du(ij+u_lup,l) - ne_lup*due_lup |
---|
| 462 | du(ij+u_ldown,l) = du(ij+u_ldown,l) - ne_ldown*due_ldown |
---|
| 463 | u(ij+u_right,l) = u(ij+u_right,l) + tau*du(ij+u_right,l) |
---|
| 464 | u(ij+u_lup,l) = u(ij+u_lup,l) + tau*du(ij+u_lup,l) |
---|
| 465 | u(ij+u_ldown,l) = u(ij+u_ldown,l) + tau*du(ij+u_ldown,l) |
---|
[401] | 466 | END DO |
---|
[953] | 467 | END DO |
---|
[362] | 468 | |
---|
[953] | 469 | #undef BERNI |
---|
[362] | 470 | |
---|
[953] | 471 | !$acc end data |
---|
| 472 | ELSE ! Not default case : not ported to openacc |
---|
| 473 | CALL abort_acc("HEVI_scheme/compute_caldyn_fast") |
---|
| 474 | !!$acc parallel loop gang private(berni(:,:), berniv(:,:)) async |
---|
| 475 | DO l=ll_begin,ll_end |
---|
| 476 | ! Compute Bernoulliterm |
---|
| 477 | IF(boussinesq) THEN |
---|
| 478 | !!$acc loop vector |
---|
| 479 | !DIR$ SIMD |
---|
| 480 | DO ij=ij_begin,ij_end |
---|
| 481 | berni(ij,l) = pk(ij,l) |
---|
| 482 | ! from now on pk contains the vertically-averaged geopotential |
---|
| 483 | pk(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) |
---|
| 484 | END DO |
---|
| 485 | ELSE ! compressible |
---|
| 486 | SELECT CASE(caldyn_thermo) |
---|
| 487 | CASE(thermo_theta) ! vdp = theta.dpi => B = Phi |
---|
| 488 | CALL dynamico_abort("Case already dealt with") |
---|
| 489 | CASE(thermo_entropy) ! vdp = dG + sdT => B = Phi + G, G=h-Ts=T*(cpp-s) |
---|
| 490 | !$acc loop vector |
---|
| 491 | !DIR$ SIMD |
---|
| 492 | DO ij=ij_begin,ij_end |
---|
| 493 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
---|
| 494 | + pk(ij,l)*(cpp-theta(ij,l,1)) ! pk=temperature, theta=entropy |
---|
| 495 | END DO |
---|
| 496 | CASE(thermo_moist) |
---|
| 497 | !!$acc loop vector |
---|
| 498 | !DIR$ SIMD |
---|
| 499 | DO ij=ij_begin,ij_end |
---|
| 500 | ! du/dt = grad(Bd)+rv.grad(Bv)+s.grad(T) |
---|
| 501 | ! Bd = Phi + gibbs_d |
---|
| 502 | ! Bv = Phi + gibbs_v |
---|
| 503 | ! pk=temperature, theta=entropy |
---|
| 504 | qv = theta(ij,l,2) |
---|
| 505 | temp = pk(ij,l) |
---|
| 506 | chi = log(temp/Treff) |
---|
| 507 | nu = (chi*(cpp+qv*cppv)-theta(ij,l,1))/(Rd+qv*Rv) ! log(p/preff) |
---|
| 508 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
---|
| 509 | + temp*(cpp*(1.-chi)+Rd*nu) |
---|
| 510 | berniv(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
---|
| 511 | + temp*(cppv*(1.-chi)+Rv*nu) |
---|
| 512 | END DO |
---|
| 513 | END SELECT |
---|
| 514 | END IF ! Boussinesq/compressible |
---|
| 515 | |
---|
[369] | 516 | !!! u:=u+tau*du, du = -grad(B)-theta.grad(pi) |
---|
[953] | 517 | IF(caldyn_thermo == thermo_moist) THEN |
---|
| 518 | !!$acc loop vector |
---|
| 519 | !DIR$ SIMD |
---|
| 520 | DO ij=ij_begin,ij_end |
---|
| 521 | due_right = berni(ij+t_right,l)-berni(ij,l) & |
---|
| 522 | + 0.5*(theta(ij,l,1)+theta(ij+t_right,l,1)) & |
---|
| 523 | *(pk(ij+t_right,l)-pk(ij,l)) & |
---|
| 524 | + 0.5*(theta(ij,l,2)+theta(ij+t_right,l,2)) & |
---|
| 525 | *(berniv(ij+t_right,l)-berniv(ij,l)) |
---|
| 526 | |
---|
| 527 | due_lup = berni(ij+t_lup,l)-berni(ij,l) & |
---|
| 528 | + 0.5*(theta(ij,l,1)+theta(ij+t_lup,l,1)) & |
---|
| 529 | *(pk(ij+t_lup,l)-pk(ij,l)) & |
---|
| 530 | + 0.5*(theta(ij,l,2)+theta(ij+t_lup,l,2)) & |
---|
| 531 | *(berniv(ij+t_lup,l)-berniv(ij,l)) |
---|
| 532 | |
---|
| 533 | due_ldown = berni(ij+t_ldown,l)-berni(ij,l) & |
---|
| 534 | + 0.5*(theta(ij,l,1)+theta(ij+t_ldown,l,1)) & |
---|
| 535 | *(pk(ij+t_ldown,l)-pk(ij,l)) & |
---|
| 536 | + 0.5*(theta(ij,l,2)+theta(ij+t_ldown,l,2)) & |
---|
| 537 | *(berniv(ij+t_ldown,l)-berniv(ij,l)) |
---|
| 538 | |
---|
| 539 | du(ij+u_right,l) = du(ij+u_right,l) - ne_right*due_right |
---|
| 540 | du(ij+u_lup,l) = du(ij+u_lup,l) - ne_lup*due_lup |
---|
| 541 | du(ij+u_ldown,l) = du(ij+u_ldown,l) - ne_ldown*due_ldown |
---|
| 542 | u(ij+u_right,l) = u(ij+u_right,l) + tau*du(ij+u_right,l) |
---|
| 543 | u(ij+u_lup,l) = u(ij+u_lup,l) + tau*du(ij+u_lup,l) |
---|
| 544 | u(ij+u_ldown,l) = u(ij+u_ldown,l) + tau*du(ij+u_ldown,l) |
---|
| 545 | END DO |
---|
| 546 | ELSE |
---|
| 547 | CALL dynamico_abort("Case already dealt with") |
---|
| 548 | END IF |
---|
[405] | 549 | END DO |
---|
| 550 | END IF |
---|
[953] | 551 | END IF |
---|
[362] | 552 | CALL trace_end("compute_caldyn_fast") |
---|
| 553 | |
---|
| 554 | END SUBROUTINE compute_caldyn_fast |
---|
[953] | 555 | |
---|
[954] | 556 | SUBROUTINE compute_caldyn_Coriolis(hflux,theta,qu, convm,dtheta_rhodz,du,Ai,wee) |
---|
[369] | 557 | REAL(rstd),INTENT(IN) :: hflux(3*iim*jjm,llm) ! hflux in kg/s |
---|
[404] | 558 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) ! active scalars |
---|
[369] | 559 | REAL(rstd),INTENT(IN) :: qu(3*iim*jjm,llm) |
---|
[362] | 560 | REAL(rstd),INTENT(OUT) :: convm(iim*jjm,llm) ! mass flux convergence |
---|
[404] | 561 | REAL(rstd),INTENT(OUT) :: dtheta_rhodz(iim*jjm,llm,nqdyn) |
---|
[369] | 562 | REAL(rstd),INTENT(INOUT) :: du(3*iim*jjm,llm) |
---|
[954] | 563 | REAL(rstd),INTENT(IN) :: Ai(iim*jjm) |
---|
| 564 | REAL(rstd),INTENT(IN) :: wee(3*iim*jjm,5,2) |
---|
[369] | 565 | |
---|
[555] | 566 | REAL(rstd) :: Ftheta(3*iim*jjm,llm) ! potential temperature flux |
---|
| 567 | REAL(rstd) :: uu_right, uu_lup, uu_ldown, du_trisk, divF |
---|
[899] | 568 | INTEGER :: ij,iq,l |
---|
[362] | 569 | |
---|
[369] | 570 | CALL trace_start("compute_caldyn_Coriolis") |
---|
[362] | 571 | |
---|
[580] | 572 | IF(dysl_caldyn_coriolis) THEN |
---|
| 573 | |
---|
[555] | 574 | #include "../kernels/coriolis.k90" |
---|
[580] | 575 | |
---|
| 576 | ELSE |
---|
[953] | 577 | #define FTHETA(ij) Ftheta(ij,l) |
---|
[555] | 578 | |
---|
[953] | 579 | !$acc data async & |
---|
| 580 | !$acc create(Ftheta(3*iim*jjm,llm)) & |
---|
| 581 | !$acc present(qu(:,:), hflux(:,:), convm(:,:), du(:,:), dtheta_rhodz(:,:,:), theta(:,:,:), Ai(:), wee(:,:,:)) |
---|
| 582 | |
---|
| 583 | ! compute theta flux |
---|
| 584 | DO iq=1,nqdyn |
---|
| 585 | !$acc parallel loop collapse(2) present(Ftheta, theta) async |
---|
| 586 | DO l=ll_begin, ll_end |
---|
| 587 | !DIR$ SIMD |
---|
[404] | 588 | DO ij=ij_begin_ext,ij_end_ext |
---|
[555] | 589 | FTHETA(ij+u_right) = 0.5*(theta(ij,l,iq)+theta(ij+t_right,l,iq)) & |
---|
[369] | 590 | * hflux(ij+u_right,l) |
---|
[555] | 591 | FTHETA(ij+u_lup) = 0.5*(theta(ij,l,iq)+theta(ij+t_lup,l,iq)) & |
---|
[404] | 592 | * hflux(ij+u_lup,l) |
---|
[555] | 593 | FTHETA(ij+u_ldown) = 0.5*(theta(ij,l,iq)+theta(ij+t_ldown,l,iq)) & |
---|
[404] | 594 | * hflux(ij+u_ldown,l) |
---|
| 595 | END DO |
---|
[953] | 596 | END DO |
---|
| 597 | |
---|
| 598 | !$acc parallel loop collapse(2) present(Ftheta) async |
---|
| 599 | DO l=ll_begin, ll_end |
---|
[404] | 600 | ! horizontal divergence of fluxes |
---|
[953] | 601 | !DIR$ SIMD |
---|
[404] | 602 | DO ij=ij_begin,ij_end |
---|
| 603 | ! dtheta_rhodz = -div(flux.theta) |
---|
| 604 | dtheta_rhodz(ij,l,iq)= & |
---|
[555] | 605 | -1./Ai(ij)*(ne_right*FTHETA(ij+u_right) + & |
---|
| 606 | ne_rup*FTHETA(ij+u_rup) + & |
---|
| 607 | ne_lup*FTHETA(ij+u_lup) + & |
---|
| 608 | ne_left*FTHETA(ij+u_left) + & |
---|
| 609 | ne_ldown*FTHETA(ij+u_ldown) + & |
---|
| 610 | ne_rdown*FTHETA(ij+u_rdown) ) |
---|
[404] | 611 | END DO |
---|
| 612 | END DO |
---|
[953] | 613 | END DO |
---|
[404] | 614 | |
---|
[953] | 615 | !$acc parallel loop collapse(2) present(Ai) async |
---|
| 616 | DO l=ll_begin, ll_end |
---|
[426] | 617 | !DIR$ SIMD |
---|
[362] | 618 | DO ij=ij_begin,ij_end |
---|
| 619 | ! convm = -div(mass flux), sign convention as in Ringler et al. 2012, eq. 21 |
---|
| 620 | convm(ij,l)= -1./Ai(ij)*(ne_right*hflux(ij+u_right,l) + & |
---|
| 621 | ne_rup*hflux(ij+u_rup,l) + & |
---|
| 622 | ne_lup*hflux(ij+u_lup,l) + & |
---|
| 623 | ne_left*hflux(ij+u_left,l) + & |
---|
| 624 | ne_ldown*hflux(ij+u_ldown,l) + & |
---|
[404] | 625 | ne_rdown*hflux(ij+u_rdown,l)) |
---|
| 626 | END DO ! ij |
---|
| 627 | END DO ! llm |
---|
[362] | 628 | |
---|
| 629 | !!! Compute potential vorticity (Coriolis) contribution to du |
---|
[369] | 630 | SELECT CASE(caldyn_conserv) |
---|
[362] | 631 | |
---|
| 632 | CASE(energy) ! energy-conserving TRiSK |
---|
[953] | 633 | !$acc parallel loop collapse(2) present(qu, wee, du) async |
---|
[362] | 634 | DO l=ll_begin,ll_end |
---|
| 635 | !DIR$ SIMD |
---|
| 636 | DO ij=ij_begin,ij_end |
---|
| 637 | uu_right = & |
---|
| 638 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l)*(qu(ij+u_right,l)+qu(ij+u_rup,l))+ & |
---|
| 639 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l)*(qu(ij+u_right,l)+qu(ij+u_lup,l))+ & |
---|
| 640 | wee(ij+u_right,3,1)*hflux(ij+u_left,l)*(qu(ij+u_right,l)+qu(ij+u_left,l))+ & |
---|
| 641 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)*(qu(ij+u_right,l)+qu(ij+u_ldown,l))+ & |
---|
| 642 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)*(qu(ij+u_right,l)+qu(ij+u_rdown,l))+ & |
---|
| 643 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_ldown,l))+ & |
---|
| 644 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_rdown,l))+ & |
---|
| 645 | wee(ij+u_right,3,2)*hflux(ij+t_right+u_right,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_right,l))+ & |
---|
| 646 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_rup,l))+ & |
---|
| 647 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_lup,l)) |
---|
| 648 | uu_lup = & |
---|
| 649 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)*(qu(ij+u_lup,l)+qu(ij+u_left,l)) + & |
---|
| 650 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)*(qu(ij+u_lup,l)+qu(ij+u_ldown,l)) + & |
---|
| 651 | wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)*(qu(ij+u_lup,l)+qu(ij+u_rdown,l)) + & |
---|
| 652 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)*(qu(ij+u_lup,l)+qu(ij+u_right,l)) + & |
---|
| 653 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)*(qu(ij+u_lup,l)+qu(ij+u_rup,l)) + & |
---|
| 654 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_right,l)) + & |
---|
| 655 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_rup,l)) + & |
---|
| 656 | wee(ij+u_lup,3,2)*hflux(ij+t_lup+u_lup,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_lup,l)) + & |
---|
| 657 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_left,l)) + & |
---|
| 658 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_ldown,l)) |
---|
| 659 | uu_ldown = & |
---|
| 660 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)*(qu(ij+u_ldown,l)+qu(ij+u_rdown,l)) + & |
---|
| 661 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)*(qu(ij+u_ldown,l)+qu(ij+u_right,l)) + & |
---|
| 662 | wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)*(qu(ij+u_ldown,l)+qu(ij+u_rup,l)) + & |
---|
| 663 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)*(qu(ij+u_ldown,l)+qu(ij+u_lup,l)) + & |
---|
| 664 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)*(qu(ij+u_ldown,l)+qu(ij+u_left,l)) + & |
---|
| 665 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_lup,l)) + & |
---|
| 666 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_left,l)) + & |
---|
| 667 | wee(ij+u_ldown,3,2)*hflux(ij+t_ldown+u_ldown,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_ldown,l)) + & |
---|
| 668 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_rdown,l)) + & |
---|
| 669 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_right,l)) |
---|
[369] | 670 | du(ij+u_right,l) = du(ij+u_right,l) + .5*uu_right |
---|
| 671 | du(ij+u_lup,l) = du(ij+u_lup,l) + .5*uu_lup |
---|
| 672 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + .5*uu_ldown |
---|
[362] | 673 | ENDDO |
---|
| 674 | ENDDO |
---|
| 675 | |
---|
| 676 | CASE(enstrophy) ! enstrophy-conserving TRiSK |
---|
[953] | 677 | |
---|
| 678 | !$acc parallel loop collapse(2) present(wee, du) async |
---|
[362] | 679 | DO l=ll_begin,ll_end |
---|
| 680 | !DIR$ SIMD |
---|
| 681 | DO ij=ij_begin,ij_end |
---|
| 682 | uu_right = & |
---|
| 683 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l)+ & |
---|
| 684 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l)+ & |
---|
| 685 | wee(ij+u_right,3,1)*hflux(ij+u_left,l)+ & |
---|
| 686 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)+ & |
---|
| 687 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)+ & |
---|
| 688 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)+ & |
---|
| 689 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)+ & |
---|
| 690 | wee(ij+u_right,3,2)*hflux(ij+t_right+u_right,l)+ & |
---|
| 691 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)+ & |
---|
| 692 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l) |
---|
| 693 | uu_lup = & |
---|
| 694 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)+ & |
---|
| 695 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)+ & |
---|
| 696 | wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)+ & |
---|
| 697 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)+ & |
---|
| 698 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)+ & |
---|
| 699 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)+ & |
---|
| 700 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)+ & |
---|
| 701 | wee(ij+u_lup,3,2)*hflux(ij+t_lup+u_lup,l)+ & |
---|
| 702 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)+ & |
---|
| 703 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l) |
---|
| 704 | uu_ldown = & |
---|
| 705 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)+ & |
---|
| 706 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)+ & |
---|
| 707 | wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)+ & |
---|
| 708 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)+ & |
---|
| 709 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)+ & |
---|
| 710 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)+ & |
---|
| 711 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)+ & |
---|
| 712 | wee(ij+u_ldown,3,2)*hflux(ij+t_ldown+u_ldown,l)+ & |
---|
| 713 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)+ & |
---|
| 714 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l) |
---|
| 715 | |
---|
[369] | 716 | du(ij+u_right,l) = du(ij+u_right,l) + .5*uu_right |
---|
| 717 | du(ij+u_lup,l) = du(ij+u_lup,l) + .5*uu_lup |
---|
| 718 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + .5*uu_ldown |
---|
| 719 | END DO |
---|
| 720 | END DO |
---|
[953] | 721 | !$acc end parallel loop |
---|
[362] | 722 | CASE DEFAULT |
---|
| 723 | STOP |
---|
| 724 | END SELECT |
---|
[953] | 725 | |
---|
| 726 | !$acc end data |
---|
| 727 | |
---|
[555] | 728 | #undef FTHETA |
---|
[362] | 729 | |
---|
[580] | 730 | END IF ! dysl |
---|
| 731 | |
---|
[369] | 732 | CALL trace_end("compute_caldyn_Coriolis") |
---|
| 733 | |
---|
| 734 | END SUBROUTINE compute_caldyn_Coriolis |
---|
| 735 | |
---|
[954] | 736 | SUBROUTINE compute_caldyn_slow_hydro(u,rhodz,hflux,du,Ai,le_de,zero) |
---|
[519] | 737 | LOGICAL, INTENT(IN) :: zero |
---|
[369] | 738 | REAL(rstd),INTENT(IN) :: u(3*iim*jjm,llm) ! prognostic "velocity" |
---|
| 739 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) |
---|
| 740 | REAL(rstd),INTENT(OUT) :: hflux(3*iim*jjm,llm) ! hflux in kg/s |
---|
[519] | 741 | REAL(rstd),INTENT(INOUT) :: du(3*iim*jjm,llm) |
---|
[954] | 742 | REAL(rstd),INTENT(IN) :: Ai(iim*jjm) |
---|
| 743 | REAL(rstd),INTENT(IN) :: le_de(3*iim*jjm) |
---|
[369] | 744 | |
---|
[555] | 745 | REAL(rstd) :: berni(iim*jjm,llm) ! Bernoulli function |
---|
| 746 | REAL(rstd) :: uu_right, uu_lup, uu_ldown, ke, uu |
---|
[369] | 747 | INTEGER :: ij,l |
---|
| 748 | |
---|
| 749 | CALL trace_start("compute_caldyn_slow_hydro") |
---|
| 750 | |
---|
[580] | 751 | IF(dysl_slow_hydro) THEN |
---|
| 752 | |
---|
[555] | 753 | #define BERNI(ij,l) berni(ij,l) |
---|
| 754 | #include "../kernels/caldyn_slow_hydro.k90" |
---|
| 755 | #undef BERNI |
---|
[369] | 756 | |
---|
[580] | 757 | ELSE |
---|
| 758 | |
---|
[953] | 759 | #define BERNI(ij) berni(ij,l) |
---|
[580] | 760 | |
---|
[369] | 761 | DO l = ll_begin, ll_end |
---|
| 762 | IF (caldyn_conserv==energy) CALL test_message(req_qu) |
---|
[953] | 763 | END DO |
---|
| 764 | |
---|
| 765 | !$acc data async & |
---|
| 766 | !$acc create(berni(:,ll_begin:ll_end)) & |
---|
| 767 | !$acc present(rhodz(:,ll_begin:ll_end), u(:,ll_begin:ll_end), hflux(:,:), du(:,ll_begin:ll_end), Ai(:), le_de(:)) |
---|
| 768 | |
---|
| 769 | ! Compute mass fluxes |
---|
| 770 | !$acc parallel loop collapse(2) async |
---|
| 771 | DO l = ll_begin, ll_end |
---|
[362] | 772 | !DIR$ SIMD |
---|
[369] | 773 | DO ij=ij_begin_ext,ij_end_ext |
---|
| 774 | uu_right=0.5*(rhodz(ij,l)+rhodz(ij+t_right,l))*u(ij+u_right,l) |
---|
| 775 | uu_lup=0.5*(rhodz(ij,l)+rhodz(ij+t_lup,l))*u(ij+u_lup,l) |
---|
| 776 | uu_ldown=0.5*(rhodz(ij,l)+rhodz(ij+t_ldown,l))*u(ij+u_ldown,l) |
---|
| 777 | uu_right= uu_right*le_de(ij+u_right) |
---|
| 778 | uu_lup = uu_lup *le_de(ij+u_lup) |
---|
| 779 | uu_ldown= uu_ldown*le_de(ij+u_ldown) |
---|
| 780 | hflux(ij+u_right,l)=uu_right |
---|
| 781 | hflux(ij+u_lup,l) =uu_lup |
---|
| 782 | hflux(ij+u_ldown,l)=uu_ldown |
---|
| 783 | ENDDO |
---|
[953] | 784 | END DO |
---|
| 785 | |
---|
| 786 | ! Compute Bernoulli=kinetic energy |
---|
| 787 | !$acc parallel loop collapse(2) async |
---|
| 788 | DO l = ll_begin, ll_end |
---|
[369] | 789 | !DIR$ SIMD |
---|
[362] | 790 | DO ij=ij_begin,ij_end |
---|
[555] | 791 | BERNI(ij) = & |
---|
[369] | 792 | 1/(4*Ai(ij))*(le_de(ij+u_right)*u(ij+u_right,l)**2 + & |
---|
| 793 | le_de(ij+u_rup)*u(ij+u_rup,l)**2 + & |
---|
| 794 | le_de(ij+u_lup)*u(ij+u_lup,l)**2 + & |
---|
| 795 | le_de(ij+u_left)*u(ij+u_left,l)**2 + & |
---|
| 796 | le_de(ij+u_ldown)*u(ij+u_ldown,l)**2 + & |
---|
| 797 | le_de(ij+u_rdown)*u(ij+u_rdown,l)**2 ) |
---|
[362] | 798 | ENDDO |
---|
[953] | 799 | END DO |
---|
| 800 | |
---|
| 801 | ! Compute du=-grad(Bernoulli) |
---|
| 802 | IF(zero) THEN |
---|
| 803 | !$acc parallel loop collapse(2) async |
---|
| 804 | DO l = ll_begin, ll_end |
---|
[519] | 805 | !DIR$ SIMD |
---|
| 806 | DO ij=ij_begin,ij_end |
---|
[555] | 807 | du(ij+u_right,l) = ne_right*(BERNI(ij)-BERNI(ij+t_right)) |
---|
| 808 | du(ij+u_lup,l) = ne_lup*(BERNI(ij)-BERNI(ij+t_lup)) |
---|
| 809 | du(ij+u_ldown,l) = ne_ldown*(BERNI(ij)-BERNI(ij+t_ldown)) |
---|
[519] | 810 | END DO |
---|
[953] | 811 | END DO |
---|
| 812 | ELSE |
---|
| 813 | !$acc parallel loop collapse(2) async |
---|
| 814 | DO l = ll_begin, ll_end |
---|
[519] | 815 | !DIR$ SIMD |
---|
| 816 | DO ij=ij_begin,ij_end |
---|
| 817 | du(ij+u_right,l) = du(ij+u_right,l) + & |
---|
[555] | 818 | ne_right*(BERNI(ij)-BERNI(ij+t_right)) |
---|
[519] | 819 | du(ij+u_lup,l) = du(ij+u_lup,l) + & |
---|
[555] | 820 | ne_lup*(BERNI(ij)-BERNI(ij+t_lup)) |
---|
[519] | 821 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + & |
---|
[555] | 822 | ne_ldown*(BERNI(ij)-BERNI(ij+t_ldown)) |
---|
[519] | 823 | END DO |
---|
[953] | 824 | END DO |
---|
| 825 | END IF |
---|
[580] | 826 | |
---|
[953] | 827 | !$acc end data |
---|
| 828 | |
---|
[555] | 829 | #undef BERNI |
---|
[580] | 830 | |
---|
| 831 | END IF ! dysl |
---|
[953] | 832 | |
---|
[369] | 833 | CALL trace_end("compute_caldyn_slow_hydro") |
---|
| 834 | END SUBROUTINE compute_caldyn_slow_hydro |
---|
[362] | 835 | |
---|
[561] | 836 | SUBROUTINE compute_caldyn_slow_NH(u,rhodz,Phi,W, F_el,gradPhi2,w_il, hflux,du,dPhi,dW) |
---|
[369] | 837 | REAL(rstd),INTENT(IN) :: u(3*iim*jjm,llm) ! prognostic "velocity" |
---|
| 838 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) ! rho*dz |
---|
| 839 | REAL(rstd),INTENT(IN) :: Phi(iim*jjm,llm+1) ! prognostic geopotential |
---|
| 840 | REAL(rstd),INTENT(IN) :: W(iim*jjm,llm+1) ! prognostic vertical momentum |
---|
[362] | 841 | |
---|
[369] | 842 | REAL(rstd),INTENT(OUT) :: hflux(3*iim*jjm,llm) ! hflux in kg/s |
---|
| 843 | REAL(rstd),INTENT(OUT) :: du(3*iim*jjm,llm) |
---|
| 844 | REAL(rstd),INTENT(OUT) :: dW(iim*jjm,llm+1) |
---|
| 845 | REAL(rstd),INTENT(OUT) :: dPhi(iim*jjm,llm+1) |
---|
| 846 | |
---|
[561] | 847 | REAL(rstd) :: w_il(iim*jjm,llm+1) ! Wil/mil |
---|
[369] | 848 | REAL(rstd) :: F_el(3*iim*jjm,llm+1) ! NH mass flux |
---|
[561] | 849 | REAL(rstd) :: gradPhi2(iim*jjm,llm+1) ! grad_Phi**2 |
---|
[369] | 850 | REAL(rstd) :: DePhil(3*iim*jjm,llm+1) ! grad(Phi) |
---|
[555] | 851 | |
---|
| 852 | INTEGER :: ij,l,kdown,kup |
---|
| 853 | REAL(rstd) :: W_el, W2_el, uu_right, uu_lup, uu_ldown, gPhi2, dP, divG, u2, uu |
---|
| 854 | |
---|
| 855 | REAL(rstd) :: berni(iim*jjm,llm) ! Bernoulli function |
---|
| 856 | REAL(rstd) :: G_el(3*iim*jjm,llm+1) ! horizontal flux of W |
---|
| 857 | REAL(rstd) :: v_el(3*iim*jjm,llm+1) |
---|
[369] | 858 | |
---|
[580] | 859 | REAL(rstd) :: berni1(iim*jjm) ! Bernoulli function |
---|
| 860 | REAL(rstd) :: G_el1(3*iim*jjm) ! horizontal flux of W |
---|
| 861 | REAL(rstd) :: v_el1(3*iim*jjm) |
---|
| 862 | |
---|
[369] | 863 | CALL trace_start("compute_caldyn_slow_NH") |
---|
| 864 | |
---|
[580] | 865 | IF(dysl) THEN |
---|
| 866 | |
---|
[561] | 867 | !$OMP BARRIER |
---|
[555] | 868 | #include "../kernels/caldyn_slow_NH.k90" |
---|
[561] | 869 | !$OMP BARRIER |
---|
[580] | 870 | |
---|
| 871 | ELSE |
---|
| 872 | |
---|
| 873 | #define BERNI(ij) berni1(ij) |
---|
| 874 | #define G_EL(ij) G_el1(ij) |
---|
| 875 | #define V_EL(ij) v_el1(ij) |
---|
| 876 | |
---|
[369] | 877 | DO l=ll_begin, ll_endp1 ! compute on l levels (interfaces) |
---|
| 878 | IF(l==1) THEN |
---|
| 879 | kdown=1 |
---|
| 880 | ELSE |
---|
| 881 | kdown=l-1 |
---|
| 882 | END IF |
---|
| 883 | IF(l==llm+1) THEN |
---|
| 884 | kup=llm |
---|
| 885 | ELSE |
---|
| 886 | kup=l |
---|
| 887 | END IF |
---|
[377] | 888 | ! below : "checked" means "formula also valid when kup=kdown (top/bottom)" |
---|
[369] | 889 | ! compute mil, wil=Wil/mil |
---|
| 890 | DO ij=ij_begin_ext, ij_end_ext |
---|
[377] | 891 | w_il(ij,l) = 2.*W(ij,l)/(rhodz(ij,kdown)+rhodz(ij,kup)) ! checked |
---|
[369] | 892 | END DO |
---|
| 893 | ! compute DePhi, v_el, G_el, F_el |
---|
| 894 | ! v_el, W2_el and therefore G_el incorporate metric factor le_de |
---|
| 895 | ! while DePhil, W_el and F_el don't |
---|
| 896 | DO ij=ij_begin_ext, ij_end_ext |
---|
| 897 | ! Compute on edge 'right' |
---|
| 898 | W_el = .5*( W(ij,l)+W(ij+t_right,l) ) |
---|
| 899 | DePhil(ij+u_right,l) = ne_right*(Phi(ij+t_right,l)-Phi(ij,l)) |
---|
| 900 | F_el(ij+u_right,l) = DePhil(ij+u_right,l)*W_el |
---|
| 901 | W2_el = .5*le_de(ij+u_right) * & |
---|
| 902 | ( W(ij,l)*w_il(ij,l) + W(ij+t_right,l)*w_il(ij+t_right,l) ) |
---|
[580] | 903 | V_EL(ij+u_right) = .5*le_de(ij+u_right)*(u(ij+u_right,kup)+u(ij+u_right,kdown)) ! checked |
---|
| 904 | G_EL(ij+u_right) = V_EL(ij+u_right)*W_el - DePhil(ij+u_right,l)*W2_el |
---|
[369] | 905 | ! Compute on edge 'lup' |
---|
| 906 | W_el = .5*( W(ij,l)+W(ij+t_lup,l) ) |
---|
| 907 | DePhil(ij+u_lup,l) = ne_lup*(Phi(ij+t_lup,l)-Phi(ij,l)) |
---|
| 908 | F_el(ij+u_lup,l) = DePhil(ij+u_lup,l)*W_el |
---|
| 909 | W2_el = .5*le_de(ij+u_lup) * & |
---|
| 910 | ( W(ij,l)*w_il(ij,l) + W(ij+t_lup,l)*w_il(ij+t_lup,l) ) |
---|
[580] | 911 | V_EL(ij+u_lup) = .5*le_de(ij+u_lup)*( u(ij+u_lup,kup) + u(ij+u_lup,kdown)) ! checked |
---|
| 912 | G_EL(ij+u_lup) = V_EL(ij+u_lup)*W_el - DePhil(ij+u_lup,l)*W2_el |
---|
[369] | 913 | ! Compute on edge 'ldown' |
---|
| 914 | W_el = .5*( W(ij,l)+W(ij+t_ldown,l) ) |
---|
| 915 | DePhil(ij+u_ldown,l) = ne_ldown*(Phi(ij+t_ldown,l)-Phi(ij,l)) |
---|
| 916 | F_el(ij+u_ldown,l) = DePhil(ij+u_ldown,l)*W_el |
---|
| 917 | W2_el = .5*le_de(ij+u_ldown) * & |
---|
| 918 | ( W(ij,l)*w_il(ij,l) + W(ij+t_ldown,l)*w_il(ij+t_ldown,l) ) |
---|
[580] | 919 | V_EL(ij+u_ldown) = .5*le_de(ij+u_ldown)*( u(ij+u_ldown,kup) + u(ij+u_ldown,kdown)) ! checked |
---|
| 920 | G_EL(ij+u_ldown) = V_EL(ij+u_ldown)*W_el - DePhil(ij+u_ldown,l)*W2_el |
---|
[369] | 921 | END DO |
---|
| 922 | ! compute GradPhi2, dPhi, dW |
---|
| 923 | DO ij=ij_begin_ext, ij_end_ext |
---|
| 924 | gradPhi2(ij,l) = & |
---|
| 925 | 1/(2*Ai(ij))*(le_de(ij+u_right)*DePhil(ij+u_right,l)**2 + & |
---|
| 926 | le_de(ij+u_rup)*DePhil(ij+u_rup,l)**2 + & |
---|
| 927 | le_de(ij+u_lup)*DePhil(ij+u_lup,l)**2 + & |
---|
| 928 | le_de(ij+u_left)*DePhil(ij+u_left,l)**2 + & |
---|
| 929 | le_de(ij+u_ldown)*DePhil(ij+u_ldown,l)**2 + & |
---|
| 930 | le_de(ij+u_rdown)*DePhil(ij+u_rdown,l)**2 ) |
---|
[377] | 931 | |
---|
| 932 | dPhi(ij,l) = gradPhi2(ij,l)*w_il(ij,l) -1/(2*Ai(ij))* & |
---|
[580] | 933 | ( DePhil(ij+u_right,l)*V_EL(ij+u_right) + & ! -v.gradPhi, |
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| 934 | DePhil(ij+u_rup,l)*V_EL(ij+u_rup) + & ! v_el already has le_de |
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| 935 | DePhil(ij+u_lup,l)*V_EL(ij+u_lup) + & |
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| 936 | DePhil(ij+u_left,l)*V_EL(ij+u_left) + & |
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| 937 | DePhil(ij+u_ldown,l)*V_EL(ij+u_ldown) + & |
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| 938 | DePhil(ij+u_rdown,l)*V_EL(ij+u_rdown) ) |
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[377] | 939 | |
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[369] | 940 | dW(ij,l) = -1./Ai(ij)*( & ! -div(G_el), |
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[580] | 941 | ne_right*G_EL(ij+u_right) + & ! G_el already has le_de |
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| 942 | ne_rup*G_EL(ij+u_rup) + & |
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| 943 | ne_lup*G_EL(ij+u_lup) + & |
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| 944 | ne_left*G_EL(ij+u_left) + & |
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| 945 | ne_ldown*G_EL(ij+u_ldown) + & |
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| 946 | ne_rdown*G_EL(ij+u_rdown)) |
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[369] | 947 | END DO |
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| 948 | END DO |
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[377] | 949 | |
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[369] | 950 | DO l=ll_begin, ll_end ! compute on k levels (layers) |
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| 951 | ! Compute berni at scalar points |
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| 952 | DO ij=ij_begin_ext, ij_end_ext |
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[580] | 953 | BERNI(ij) = & |
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[369] | 954 | 1/(4*Ai(ij))*( & |
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| 955 | le_de(ij+u_right)*u(ij+u_right,l)**2 + & |
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| 956 | le_de(ij+u_rup)*u(ij+u_rup,l)**2 + & |
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| 957 | le_de(ij+u_lup)*u(ij+u_lup,l)**2 + & |
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| 958 | le_de(ij+u_left)*u(ij+u_left,l)**2 + & |
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| 959 | le_de(ij+u_ldown)*u(ij+u_ldown,l)**2 + & |
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| 960 | le_de(ij+u_rdown)*u(ij+u_rdown,l)**2 ) & |
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[499] | 961 | - .25*( gradPhi2(ij,l) *w_il(ij,l)**2 + & |
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[369] | 962 | gradPhi2(ij,l+1)*w_il(ij,l+1)**2 ) |
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| 963 | END DO |
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| 964 | ! Compute mass flux and grad(berni) at edges |
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| 965 | DO ij=ij_begin_ext, ij_end_ext |
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| 966 | ! Compute on edge 'right' |
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| 967 | uu_right = 0.5*(rhodz(ij,l)+rhodz(ij+t_right,l))*u(ij+u_right,l) & |
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| 968 | -0.5*(F_el(ij+u_right,l)+F_el(ij+u_right,l+1)) |
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| 969 | hflux(ij+u_right,l) = uu_right*le_de(ij+u_right) |
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[580] | 970 | du(ij+u_right,l) = ne_right*(BERNI(ij)-BERNI(ij+t_right)) |
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[369] | 971 | ! Compute on edge 'lup' |
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| 972 | uu_lup = 0.5*(rhodz(ij,l)+rhodz(ij+t_lup,l))*u(ij+u_lup,l) & |
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| 973 | -0.5*(F_el(ij+u_lup,l)+F_el(ij+u_lup,l+1)) |
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| 974 | hflux(ij+u_lup,l) = uu_lup*le_de(ij+u_lup) |
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[580] | 975 | du(ij+u_lup,l) = ne_lup*(BERNI(ij)-BERNI(ij+t_lup)) |
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[369] | 976 | ! Compute on edge 'ldown' |
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| 977 | uu_ldown = 0.5*(rhodz(ij,l)+rhodz(ij+t_ldown,l))*u(ij+u_ldown,l) & |
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| 978 | -0.5*(F_el(ij+u_ldown,l)+F_el(ij+u_ldown,l+1)) |
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| 979 | hflux(ij+u_ldown,l) = uu_ldown*le_de(ij+u_ldown) |
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[580] | 980 | du(ij+u_ldown,l) = ne_ldown*(BERNI(ij)-BERNI(ij+t_ldown)) |
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[369] | 981 | END DO |
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| 982 | END DO |
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| 983 | |
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[580] | 984 | #undef V_EL |
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| 985 | #undef G_EL |
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| 986 | #undef BERNI |
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| 987 | |
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| 988 | END IF ! dysl |
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| 989 | |
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[369] | 990 | CALL trace_end("compute_caldyn_slow_NH") |
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| 991 | |
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| 992 | END SUBROUTINE compute_caldyn_slow_NH |
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| 993 | |
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[362] | 994 | END MODULE caldyn_kernels_hevi_mod |
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