[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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[731] | 7 | USE caldyn_vars_mod |
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[362] | 8 | IMPLICIT NONE |
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| 9 | PRIVATE |
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| 10 | |
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[562] | 11 | REAL(rstd), PARAMETER :: pbot=1e5, rho_bot=1e6 |
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[368] | 12 | |
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[538] | 13 | LOGICAL, SAVE :: debug_hevi_solver = .FALSE. |
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[368] | 14 | |
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[849] | 15 | PUBLIC :: compute_caldyn_slow_NH, & |
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[366] | 16 | compute_caldyn_solver, compute_caldyn_fast |
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[362] | 17 | |
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| 18 | CONTAINS |
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| 19 | |
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[562] | 20 | SUBROUTINE compute_NH_geopot(tau, phis, m_ik, m_il, theta, W_il, Phi_il) |
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[368] | 21 | REAL(rstd),INTENT(IN) :: tau ! solve Phi-tau*dPhi/dt = Phi_rhs |
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[562] | 22 | REAL(rstd),INTENT(IN) :: phis(iim*jjm) |
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[368] | 23 | REAL(rstd),INTENT(IN) :: m_ik(iim*jjm,llm) |
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| 24 | REAL(rstd),INTENT(IN) :: m_il(iim*jjm,llm+1) |
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| 25 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm) |
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| 26 | REAL(rstd),INTENT(IN) :: W_il(iim*jjm,llm+1) ! vertical momentum |
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| 27 | REAL(rstd),INTENT(INOUT) :: Phi_il(iim*jjm,llm+1) ! geopotential |
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| 28 | |
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| 29 | REAL(rstd) :: Phi_star_il(iim*jjm,llm+1) |
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| 30 | REAL(rstd) :: p_ik(iim*jjm,llm) ! pressure |
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| 31 | REAL(rstd) :: R_il(iim*jjm,llm+1) ! rhs of tridiag problem |
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| 32 | REAL(rstd) :: x_il(iim*jjm,llm+1) ! solution of tridiag problem |
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| 33 | REAL(rstd) :: A_ik(iim*jjm,llm) ! off-diagonal coefficients of tridiag problem |
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| 34 | REAL(rstd) :: B_il(iim*jjm,llm+1) ! diagonal coefficients of tridiag problem |
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| 35 | REAL(rstd) :: C_ik(iim*jjm,llm) ! Thomas algorithm |
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| 36 | REAL(rstd) :: D_il(iim*jjm,llm+1) ! Thomas algorithm |
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| 37 | REAL(rstd) :: gamma, rho_ij, X_ij, Y_ij |
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[657] | 38 | REAL(rstd) :: wil, tau2_g, g2, gm2, ml_g2, c2_mik, vreff |
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[368] | 39 | |
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[538] | 40 | INTEGER :: iter, ij, l, ij_omp_begin_ext, ij_omp_end_ext |
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[368] | 41 | |
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[603] | 42 | CALL distrib_level(ij_begin_ext,ij_end_ext, ij_omp_begin_ext,ij_omp_end_ext) |
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[538] | 43 | |
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[573] | 44 | IF(dysl) THEN |
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[562] | 45 | #define PHI_BOT(ij) phis(ij) |
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[612] | 46 | #include "../kernels_hex/compute_NH_geopot.k90" |
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[573] | 47 | #undef PHI_BOT |
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| 48 | ELSE |
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[368] | 49 | ! FIXME : vertical OpenMP parallelism will not work |
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| 50 | |
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| 51 | tau2_g=tau*tau/g |
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| 52 | g2=g*g |
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| 53 | gm2 = g**-2 |
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| 54 | gamma = 1./(1.-kappa) |
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| 55 | |
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| 56 | ! compute Phi_star |
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| 57 | DO l=1,llm+1 |
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| 58 | !DIR$ SIMD |
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| 59 | DO ij=ij_begin_ext,ij_end_ext |
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| 60 | Phi_star_il(ij,l) = Phi_il(ij,l) + tau*g2*(W_il(ij,l)/m_il(ij,l)-tau) |
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| 61 | ENDDO |
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| 62 | ENDDO |
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| 63 | |
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| 64 | ! Newton-Raphson iteration : Phi_il contains current guess value |
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[377] | 65 | DO iter=1,5 ! 2 iterations should be enough |
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[368] | 66 | |
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| 67 | ! Compute pressure, A_ik |
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| 68 | DO l=1,llm |
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| 69 | !DIR$ SIMD |
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| 70 | DO ij=ij_begin_ext,ij_end_ext |
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| 71 | rho_ij = (g*m_ik(ij,l))/(Phi_il(ij,l+1)-Phi_il(ij,l)) |
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| 72 | X_ij = (cpp/preff)*kappa*theta(ij,l)*rho_ij |
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| 73 | p_ik(ij,l) = preff*(X_ij**gamma) |
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| 74 | 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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| 75 | A_ik(ij,l) = c2_mik*(tau/g*rho_ij)**2 |
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| 76 | ENDDO |
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| 77 | ENDDO |
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| 78 | |
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| 79 | ! Compute residual, B_il |
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| 80 | ! bottom interface l=1 |
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| 81 | !DIR$ SIMD |
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| 82 | DO ij=ij_begin_ext,ij_end_ext |
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| 83 | ml_g2 = gm2*m_il(ij,1) |
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| 84 | B_il(ij,1) = A_ik(ij,1) + ml_g2 + tau2_g*rho_bot |
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| 85 | R_il(ij,1) = ml_g2*( Phi_il(ij,1)-Phi_star_il(ij,1)) & |
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[565] | 86 | + tau2_g*( p_ik(ij,1)-pbot+rho_bot*(Phi_il(ij,1)-phis(ij)) ) |
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[368] | 87 | ENDDO |
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| 88 | ! inner interfaces |
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| 89 | DO l=2,llm |
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| 90 | !DIR$ SIMD |
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| 91 | DO ij=ij_begin_ext,ij_end_ext |
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| 92 | ml_g2 = gm2*m_il(ij,l) |
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| 93 | B_il(ij,l) = A_ik(ij,l)+A_ik(ij,l-1) + ml_g2 |
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| 94 | R_il(ij,l) = ml_g2*( Phi_il(ij,l)-Phi_star_il(ij,l)) & |
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| 95 | + tau2_g*(p_ik(ij,l)-p_ik(ij,l-1)) |
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| 96 | ! consistency check : if Wil=0 and initial state is in hydrostatic balance |
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| 97 | ! then Phi_star_il(ij,l) = Phi_il(ij,l) - tau^2*g^2 |
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| 98 | ! and residual = tau^2*(ml+(1/g)dl_pi)=0 |
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| 99 | ENDDO |
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| 100 | ENDDO |
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| 101 | ! top interface l=llm+1 |
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| 102 | !DIR$ SIMD |
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| 103 | DO ij=ij_begin_ext,ij_end_ext |
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| 104 | ml_g2 = gm2*m_il(ij,llm+1) |
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| 105 | B_il(ij,llm+1) = A_ik(ij,llm) + ml_g2 |
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| 106 | R_il(ij,llm+1) = ml_g2*( Phi_il(ij,llm+1)-Phi_star_il(ij,llm+1)) & |
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| 107 | + tau2_g*( ptop-p_ik(ij,llm) ) |
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| 108 | ENDDO |
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| 109 | |
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| 110 | ! FIXME later |
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| 111 | ! the lines below modify the tridiag problem |
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| 112 | ! for flat, rigid boundary conditions at top and bottom : |
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| 113 | ! zero out A(1), A(llm), R(1), R(llm+1) |
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| 114 | ! => x(l)=0 at l=1,llm+1 |
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| 115 | DO ij=ij_begin_ext,ij_end_ext |
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| 116 | A_ik(ij,1) = 0. |
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| 117 | A_ik(ij,llm) = 0. |
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| 118 | R_il(ij,1) = 0. |
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| 119 | R_il(ij,llm+1) = 0. |
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| 120 | ENDDO |
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| 121 | |
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| 122 | IF(debug_hevi_solver) THEN ! print Linf(residual) |
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| 123 | PRINT *, '[hevi_solver] R,p', iter, MAXVAL(ABS(R_il)), MAXVAL(p_ik) |
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| 124 | END IF |
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| 125 | |
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| 126 | ! 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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| 127 | ! Forward sweep : |
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| 128 | ! C(0)=0, C(l) = -A(l) / (B(l)+A(l-1)C(l-1)), |
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| 129 | ! 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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| 130 | ! bottom interface l=1 |
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| 131 | !DIR$ SIMD |
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| 132 | DO ij=ij_begin_ext,ij_end_ext |
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| 133 | X_ij = 1./B_il(ij,1) |
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| 134 | C_ik(ij,1) = -A_ik(ij,1) * X_ij |
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| 135 | D_il(ij,1) = R_il(ij,1) * X_ij |
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| 136 | ENDDO |
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| 137 | ! inner interfaces/layers |
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| 138 | DO l=2,llm |
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| 139 | !DIR$ SIMD |
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| 140 | DO ij=ij_begin_ext,ij_end_ext |
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| 141 | X_ij = 1./(B_il(ij,l) + A_ik(ij,l-1)*C_ik(ij,l-1)) |
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| 142 | C_ik(ij,l) = -A_ik(ij,l) * X_ij |
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| 143 | D_il(ij,l) = (R_il(ij,l)+A_ik(ij,l-1)*D_il(ij,l-1)) * X_ij |
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| 144 | ENDDO |
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| 145 | ENDDO |
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| 146 | ! top interface l=llm+1 |
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| 147 | !DIR$ SIMD |
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| 148 | DO ij=ij_begin_ext,ij_end_ext |
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| 149 | X_ij = 1./(B_il(ij,llm+1) + A_ik(ij,llm)*C_ik(ij,llm)) |
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| 150 | D_il(ij,llm+1) = (R_il(ij,llm+1)+A_ik(ij,llm)*D_il(ij,llm)) * X_ij |
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| 151 | ENDDO |
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| 152 | |
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| 153 | ! Back substitution : |
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| 154 | ! x(i) = D(i)-C(i)x(i+1), x(N+1)=0 |
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| 155 | ! + Newton-Raphson update |
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| 156 | x_il=0. ! FIXME |
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| 157 | ! top interface l=llm+1 |
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| 158 | !DIR$ SIMD |
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| 159 | DO ij=ij_begin_ext,ij_end_ext |
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| 160 | x_il(ij,llm+1) = D_il(ij,llm+1) |
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| 161 | Phi_il(ij,llm+1) = Phi_il(ij,llm+1) - x_il(ij,llm+1) |
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| 162 | ENDDO |
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| 163 | ! lower interfaces |
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| 164 | DO l=llm,1,-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 | x_il(ij,l) = D_il(ij,l) - C_ik(ij,l)*x_il(ij,l+1) |
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| 168 | Phi_il(ij,l) = Phi_il(ij,l) - x_il(ij,l) |
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| 169 | ENDDO |
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| 170 | ENDDO |
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| 171 | |
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| 172 | IF(debug_hevi_solver) THEN |
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| 173 | PRINT *, '[hevi_solver] A,B', iter, MAXVAL(ABS(A_ik)),MAXVAL(ABS(B_il)) |
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| 174 | PRINT *, '[hevi_solver] C,D', iter, MAXVAL(ABS(C_ik)),MAXVAL(ABS(D_il)) |
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| 175 | DO l=1,llm+1 |
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[821] | 176 | WRITE(*,'(A,I2.1,I3.2,E9.2)') '[hevi_solver] x', iter,l, MAXVAL(ABS(x_il(:,l))) |
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[368] | 177 | END DO |
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| 178 | END IF |
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| 179 | |
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| 180 | END DO ! Newton-Raphson |
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[538] | 181 | |
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[573] | 182 | END IF ! dysl |
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[368] | 183 | |
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| 184 | END SUBROUTINE compute_NH_geopot |
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| 185 | |
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[562] | 186 | SUBROUTINE compute_caldyn_solver(tau,phis, rhodz,theta,pk, geopot,W, m_il,pres, dPhi,dW,du) |
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[366] | 187 | REAL(rstd),INTENT(IN) :: tau ! "solve" Phi-tau*dPhi/dt = Phi_rhs |
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[562] | 188 | REAL(rstd),INTENT(IN) :: phis(iim*jjm) |
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[366] | 189 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) |
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[538] | 190 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) |
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[366] | 191 | REAL(rstd),INTENT(OUT) :: pk(iim*jjm,llm) |
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| 192 | REAL(rstd),INTENT(INOUT) :: geopot(iim*jjm,llm+1) |
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| 193 | REAL(rstd),INTENT(INOUT) :: W(iim*jjm,llm+1) ! OUT if tau>0 |
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[558] | 194 | REAL(rstd),INTENT(OUT) :: m_il(iim*jjm,llm+1) ! rhodz averaged to interfaces |
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| 195 | REAL(rstd),INTENT(OUT) :: pres(iim*jjm,llm) ! pressure |
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[366] | 196 | REAL(rstd),INTENT(OUT) :: dW(iim*jjm,llm+1) |
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| 197 | REAL(rstd),INTENT(OUT) :: dPhi(iim*jjm,llm+1) |
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[369] | 198 | REAL(rstd),INTENT(OUT) :: du(3*iim*jjm,llm) |
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[366] | 199 | |
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[558] | 200 | REAL(rstd) :: berni(iim*jjm,llm) ! (W/m_il)^2 |
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[573] | 201 | REAL(rstd) :: berni1(iim*jjm) ! (W/m_il)^2 |
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[657] | 202 | REAL(rstd) :: gamma, rho_ij, T_ij, X_ij, Y_ij, vreff, Rd, Cvd, Rd_preff |
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[368] | 203 | INTEGER :: ij, l |
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[366] | 204 | |
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| 205 | CALL trace_start("compute_caldyn_solver") |
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| 206 | |
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[538] | 207 | Rd=cpp*kappa |
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| 208 | |
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[573] | 209 | IF(dysl) THEN |
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| 210 | |
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[558] | 211 | !$OMP BARRIER |
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[657] | 212 | |
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| 213 | #include "../kernels_hex/caldyn_mil.k90" |
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| 214 | IF(tau>0) THEN ! solve implicit problem for geopotential |
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| 215 | CALL compute_NH_geopot(tau,phis, rhodz, m_il, theta, W, geopot) |
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| 216 | END IF |
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[562] | 217 | #define PHI_BOT(ij) phis(ij) |
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[612] | 218 | #include "../kernels_hex/caldyn_solver.k90" |
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[573] | 219 | #undef PHI_BOT |
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[558] | 220 | !$OMP BARRIER |
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[573] | 221 | |
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| 222 | ELSE |
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| 223 | |
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| 224 | #define BERNI(ij) berni1(ij) |
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[368] | 225 | ! FIXME : vertical OpenMP parallelism will not work |
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[366] | 226 | |
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[368] | 227 | ! average m_ik to interfaces => m_il |
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| 228 | !DIR$ SIMD |
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| 229 | DO ij=ij_begin_ext,ij_end_ext |
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| 230 | m_il(ij,1) = .5*rhodz(ij,1) |
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| 231 | ENDDO |
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| 232 | DO l=2,llm |
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| 233 | !DIR$ SIMD |
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| 234 | DO ij=ij_begin_ext,ij_end_ext |
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| 235 | m_il(ij,l) = .5*(rhodz(ij,l-1)+rhodz(ij,l)) |
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| 236 | ENDDO |
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| 237 | ENDDO |
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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 | m_il(ij,llm+1) = .5*rhodz(ij,llm) |
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| 241 | ENDDO |
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| 242 | |
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| 243 | IF(tau>0) THEN ! solve implicit problem for geopotential |
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[565] | 244 | CALL compute_NH_geopot(tau, phis, rhodz, m_il, theta, W, geopot) |
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[366] | 245 | END IF |
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| 246 | |
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| 247 | ! Compute pressure, stored temporarily in pk |
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| 248 | ! kappa = R/Cp |
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| 249 | ! 1-kappa = Cv/Cp |
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| 250 | ! Cp/Cv = 1/(1-kappa) |
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| 251 | gamma = 1./(1.-kappa) |
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[368] | 252 | DO l=1,llm |
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[366] | 253 | !DIR$ SIMD |
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[368] | 254 | DO ij=ij_begin_ext,ij_end_ext |
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[366] | 255 | rho_ij = (g*rhodz(ij,l))/(geopot(ij,l+1)-geopot(ij,l)) |
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[538] | 256 | X_ij = (cpp/preff)*kappa*theta(ij,l,1)*rho_ij |
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[366] | 257 | ! kappa.theta.rho = p/exner |
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| 258 | ! => X = (p/p0)/(exner/Cp) |
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| 259 | ! = (p/p0)^(1-kappa) |
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| 260 | pk(ij,l) = preff*(X_ij**gamma) |
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| 261 | ENDDO |
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| 262 | ENDDO |
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| 263 | |
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[369] | 264 | ! Update W, compute tendencies |
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[368] | 265 | DO l=2,llm |
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[366] | 266 | !DIR$ SIMD |
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[368] | 267 | DO ij=ij_begin_ext,ij_end_ext |
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| 268 | dW(ij,l) = (1./g)*(pk(ij,l-1)-pk(ij,l)) - m_il(ij,l) |
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| 269 | W(ij,l) = W(ij,l)+tau*dW(ij,l) ! update W |
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| 270 | dPhi(ij,l) = g*g*W(ij,l)/m_il(ij,l) |
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[366] | 271 | ENDDO |
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| 272 | ! PRINT *,'Max dPhi', l,ij_begin,ij_end, MAXVAL(abs(dPhi(ij_begin:ij_end,l))) |
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| 273 | ! PRINT *,'Max dW', l,ij_begin,ij_end, MAXVAL(abs(dW(ij_begin:ij_end,l))) |
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| 274 | ENDDO |
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| 275 | ! Lower BC (FIXME : no orography yet !) |
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| 276 | DO ij=ij_begin,ij_end |
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| 277 | dPhi(ij,1)=0 |
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| 278 | W(ij,1)=0 |
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| 279 | dW(ij,1)=0 |
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| 280 | dPhi(ij,llm+1)=0 ! rigid lid |
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| 281 | W(ij,llm+1)=0 |
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| 282 | dW(ij,llm+1)=0 |
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| 283 | ENDDO |
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| 284 | ! Upper BC p=ptop |
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[368] | 285 | ! DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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| 286 | ! dPhi(ij,llm+1) = W(ij,llm+1)/rhodz(ij,llm) |
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| 287 | ! dW(ij,llm+1) = (1./g)*(pk(ij,llm)-ptop) - .5*rhodz(ij,llm) |
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| 288 | ! ENDDO |
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[366] | 289 | |
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[375] | 290 | ! Compute Exner function (needed by compute_caldyn_fast) and du=-g^2.grad(w^2) |
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[368] | 291 | DO l=1,llm |
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[366] | 292 | !DIR$ SIMD |
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[368] | 293 | DO ij=ij_begin_ext,ij_end_ext |
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[366] | 294 | pk(ij,l) = cpp*((pk(ij,l)/preff)**kappa) ! other formulae possible if exponentiation is slow |
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[538] | 295 | BERNI(ij) = (-.25*g*g)*( & |
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[375] | 296 | (W(ij,l)/m_il(ij,l))**2 & |
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[369] | 297 | + (W(ij,l+1)/m_il(ij,l+1))**2 ) |
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[366] | 298 | ENDDO |
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[369] | 299 | DO ij=ij_begin,ij_end |
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[538] | 300 | du(ij+u_right,l) = ne_right*(BERNI(ij)-BERNI(ij+t_right)) |
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| 301 | du(ij+u_lup,l) = ne_lup *(BERNI(ij)-BERNI(ij+t_lup)) |
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| 302 | du(ij+u_ldown,l) = ne_ldown*(BERNI(ij)-BERNI(ij+t_ldown)) |
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[369] | 303 | ENDDO |
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[366] | 304 | ENDDO |
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[538] | 305 | #undef BERNI |
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| 306 | |
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[573] | 307 | END IF ! dysl |
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| 308 | |
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[366] | 309 | CALL trace_end("compute_caldyn_solver") |
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| 310 | |
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| 311 | END SUBROUTINE compute_caldyn_solver |
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| 312 | |
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| 313 | SUBROUTINE compute_caldyn_fast(tau,u,rhodz,theta,pk,geopot,du) |
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| 314 | REAL(rstd),INTENT(IN) :: tau ! "solve" u-tau*du/dt = rhs |
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| 315 | REAL(rstd),INTENT(INOUT) :: u(iim*3*jjm,llm) ! OUT if tau>0 |
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| 316 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) |
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[405] | 317 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) |
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[366] | 318 | REAL(rstd),INTENT(INOUT) :: pk(iim*jjm,llm) |
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| 319 | REAL(rstd),INTENT(INOUT) :: geopot(iim*jjm,llm+1) |
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[369] | 320 | REAL(rstd),INTENT(INOUT) :: du(iim*3*jjm,llm) |
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[362] | 321 | REAL(rstd) :: berni(iim*jjm,llm) ! Bernoulli function |
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[405] | 322 | REAL(rstd) :: berniv(iim*jjm,llm) ! moist Bernoulli function |
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[362] | 323 | |
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| 324 | INTEGER :: i,j,ij,l |
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[837] | 325 | REAL(rstd) :: cp_ik, qv, temp, chi, nu, due, due_right, due_lup, due_ldown |
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[362] | 326 | |
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| 327 | CALL trace_start("compute_caldyn_fast") |
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[366] | 328 | |
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[562] | 329 | IF(dysl_caldyn_fast) THEN |
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[612] | 330 | #include "../kernels_hex/caldyn_fast.k90" |
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[562] | 331 | ELSE |
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| 332 | |
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[366] | 333 | ! Compute Bernoulli term |
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[362] | 334 | IF(boussinesq) THEN |
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| 335 | DO l=ll_begin,ll_end |
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| 336 | !DIR$ SIMD |
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| 337 | DO ij=ij_begin,ij_end |
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| 338 | berni(ij,l) = pk(ij,l) |
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| 339 | ! from now on pk contains the vertically-averaged geopotential |
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| 340 | pk(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) |
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[401] | 341 | END DO |
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| 342 | END DO |
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[362] | 343 | ELSE ! compressible |
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| 344 | |
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| 345 | DO l=ll_begin,ll_end |
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[401] | 346 | SELECT CASE(caldyn_thermo) |
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| 347 | CASE(thermo_theta) ! vdp = theta.dpi => B = Phi |
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| 348 | !DIR$ SIMD |
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| 349 | DO ij=ij_begin,ij_end |
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| 350 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) |
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| 351 | END DO |
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| 352 | CASE(thermo_entropy) ! vdp = dG + sdT => B = Phi + G, G=h-Ts=T*(cpp-s) |
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| 353 | !DIR$ SIMD |
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| 354 | DO ij=ij_begin,ij_end |
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| 355 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
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[405] | 356 | + pk(ij,l)*(cpp-theta(ij,l,1)) ! pk=temperature, theta=entropy |
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[401] | 357 | END DO |
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[405] | 358 | CASE(thermo_moist) |
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| 359 | !DIR$ SIMD |
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| 360 | DO ij=ij_begin,ij_end |
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| 361 | ! du/dt = grad(Bd)+rv.grad(Bv)+s.grad(T) |
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| 362 | ! Bd = Phi + gibbs_d |
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| 363 | ! Bv = Phi + gibbs_v |
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| 364 | ! pk=temperature, theta=entropy |
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| 365 | qv = theta(ij,l,2) |
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| 366 | temp = pk(ij,l) |
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| 367 | chi = log(temp/Treff) |
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| 368 | nu = (chi*(cpp+qv*cppv)-theta(ij,l,1))/(Rd+qv*Rv) ! log(p/preff) |
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| 369 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
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| 370 | + temp*(cpp*(1.-chi)+Rd*nu) |
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| 371 | berniv(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
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| 372 | + temp*(cppv*(1.-chi)+Rv*nu) |
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| 373 | END DO |
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[401] | 374 | END SELECT |
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| 375 | END DO |
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[362] | 376 | |
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| 377 | END IF ! Boussinesq/compressible |
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| 378 | |
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[369] | 379 | !!! u:=u+tau*du, du = -grad(B)-theta.grad(pi) |
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[362] | 380 | DO l=ll_begin,ll_end |
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[405] | 381 | IF(caldyn_thermo == thermo_moist) THEN |
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| 382 | !DIR$ SIMD |
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| 383 | DO ij=ij_begin,ij_end |
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| 384 | due_right = berni(ij+t_right,l)-berni(ij,l) & |
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| 385 | + 0.5*(theta(ij,l,1)+theta(ij+t_right,l,1)) & |
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| 386 | *(pk(ij+t_right,l)-pk(ij,l)) & |
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| 387 | + 0.5*(theta(ij,l,2)+theta(ij+t_right,l,2)) & |
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| 388 | *(berniv(ij+t_right,l)-berniv(ij,l)) |
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| 389 | |
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| 390 | due_lup = berni(ij+t_lup,l)-berni(ij,l) & |
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| 391 | + 0.5*(theta(ij,l,1)+theta(ij+t_lup,l,1)) & |
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| 392 | *(pk(ij+t_lup,l)-pk(ij,l)) & |
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| 393 | + 0.5*(theta(ij,l,2)+theta(ij+t_lup,l,2)) & |
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| 394 | *(berniv(ij+t_lup,l)-berniv(ij,l)) |
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| 395 | |
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| 396 | due_ldown = berni(ij+t_ldown,l)-berni(ij,l) & |
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| 397 | + 0.5*(theta(ij,l,1)+theta(ij+t_ldown,l,1)) & |
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| 398 | *(pk(ij+t_ldown,l)-pk(ij,l)) & |
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| 399 | + 0.5*(theta(ij,l,2)+theta(ij+t_ldown,l,2)) & |
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| 400 | *(berniv(ij+t_ldown,l)-berniv(ij,l)) |
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| 401 | |
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| 402 | du(ij+u_right,l) = du(ij+u_right,l) - ne_right*due_right |
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| 403 | du(ij+u_lup,l) = du(ij+u_lup,l) - ne_lup*due_lup |
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| 404 | du(ij+u_ldown,l) = du(ij+u_ldown,l) - ne_ldown*due_ldown |
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| 405 | u(ij+u_right,l) = u(ij+u_right,l) + tau*du(ij+u_right,l) |
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| 406 | u(ij+u_lup,l) = u(ij+u_lup,l) + tau*du(ij+u_lup,l) |
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| 407 | u(ij+u_ldown,l) = u(ij+u_ldown,l) + tau*du(ij+u_ldown,l) |
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| 408 | END DO |
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| 409 | ELSE |
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| 410 | !DIR$ SIMD |
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| 411 | DO ij=ij_begin,ij_end |
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| 412 | due_right = 0.5*(theta(ij,l,1)+theta(ij+t_right,l,1)) & |
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| 413 | *(pk(ij+t_right,l)-pk(ij,l)) & |
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| 414 | + berni(ij+t_right,l)-berni(ij,l) |
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| 415 | due_lup = 0.5*(theta(ij,l,1)+theta(ij+t_lup,l,1)) & |
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| 416 | *(pk(ij+t_lup,l)-pk(ij,l)) & |
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| 417 | + berni(ij+t_lup,l)-berni(ij,l) |
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| 418 | due_ldown = 0.5*(theta(ij,l,1)+theta(ij+t_ldown,l,1)) & |
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| 419 | *(pk(ij+t_ldown,l)-pk(ij,l)) & |
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| 420 | + berni(ij+t_ldown,l)-berni(ij,l) |
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| 421 | du(ij+u_right,l) = du(ij+u_right,l) - ne_right*due_right |
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| 422 | du(ij+u_lup,l) = du(ij+u_lup,l) - ne_lup*due_lup |
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| 423 | du(ij+u_ldown,l) = du(ij+u_ldown,l) - ne_ldown*due_ldown |
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| 424 | u(ij+u_right,l) = u(ij+u_right,l) + tau*du(ij+u_right,l) |
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| 425 | u(ij+u_lup,l) = u(ij+u_lup,l) + tau*du(ij+u_lup,l) |
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| 426 | u(ij+u_ldown,l) = u(ij+u_ldown,l) + tau*du(ij+u_ldown,l) |
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| 427 | END DO |
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| 428 | END IF |
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| 429 | END DO |
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[562] | 430 | |
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| 431 | END IF ! dysl |
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[362] | 432 | CALL trace_end("compute_caldyn_fast") |
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| 433 | |
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| 434 | END SUBROUTINE compute_caldyn_fast |
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| 435 | |
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[369] | 436 | |
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[558] | 437 | SUBROUTINE compute_caldyn_slow_NH(u,rhodz,Phi,W, F_el,gradPhi2,w_il, hflux,du,dPhi,dW) |
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[369] | 438 | REAL(rstd),INTENT(IN) :: u(3*iim*jjm,llm) ! prognostic "velocity" |
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| 439 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) ! rho*dz |
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| 440 | REAL(rstd),INTENT(IN) :: Phi(iim*jjm,llm+1) ! prognostic geopotential |
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| 441 | REAL(rstd),INTENT(IN) :: W(iim*jjm,llm+1) ! prognostic vertical momentum |
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[362] | 442 | |
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[369] | 443 | REAL(rstd),INTENT(OUT) :: hflux(3*iim*jjm,llm) ! hflux in kg/s |
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| 444 | REAL(rstd),INTENT(OUT) :: du(3*iim*jjm,llm) |
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| 445 | REAL(rstd),INTENT(OUT) :: dW(iim*jjm,llm+1) |
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| 446 | REAL(rstd),INTENT(OUT) :: dPhi(iim*jjm,llm+1) |
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| 447 | |
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[558] | 448 | REAL(rstd) :: w_il(iim*jjm,llm+1) ! Wil/mil |
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[369] | 449 | REAL(rstd) :: F_el(3*iim*jjm,llm+1) ! NH mass flux |
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[558] | 450 | REAL(rstd) :: gradPhi2(iim*jjm,llm+1) ! grad_Phi**2 |
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[369] | 451 | REAL(rstd) :: DePhil(3*iim*jjm,llm+1) ! grad(Phi) |
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[539] | 452 | |
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| 453 | INTEGER :: ij,l,kdown,kup |
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| 454 | REAL(rstd) :: W_el, W2_el, uu_right, uu_lup, uu_ldown, gPhi2, dP, divG, u2, uu |
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| 455 | |
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| 456 | REAL(rstd) :: berni(iim*jjm,llm) ! Bernoulli function |
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| 457 | REAL(rstd) :: G_el(3*iim*jjm,llm+1) ! horizontal flux of W |
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| 458 | REAL(rstd) :: v_el(3*iim*jjm,llm+1) |
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[369] | 459 | |
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[573] | 460 | REAL(rstd) :: berni1(iim*jjm) ! Bernoulli function |
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| 461 | REAL(rstd) :: G_el1(3*iim*jjm) ! horizontal flux of W |
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| 462 | REAL(rstd) :: v_el1(3*iim*jjm) |
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| 463 | |
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[369] | 464 | CALL trace_start("compute_caldyn_slow_NH") |
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| 465 | |
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[573] | 466 | IF(dysl) THEN |
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| 467 | |
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[558] | 468 | !$OMP BARRIER |
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[612] | 469 | #include "../kernels_hex/caldyn_slow_NH.k90" |
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[558] | 470 | !$OMP BARRIER |
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[573] | 471 | |
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| 472 | ELSE |
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| 473 | |
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| 474 | #define BERNI(ij) berni1(ij) |
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| 475 | #define G_EL(ij) G_el1(ij) |
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| 476 | #define V_EL(ij) v_el1(ij) |
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| 477 | |
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[369] | 478 | DO l=ll_begin, ll_endp1 ! compute on l levels (interfaces) |
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| 479 | IF(l==1) THEN |
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| 480 | kdown=1 |
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| 481 | ELSE |
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| 482 | kdown=l-1 |
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| 483 | END IF |
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| 484 | IF(l==llm+1) THEN |
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| 485 | kup=llm |
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| 486 | ELSE |
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| 487 | kup=l |
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| 488 | END IF |
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[377] | 489 | ! below : "checked" means "formula also valid when kup=kdown (top/bottom)" |
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[369] | 490 | ! compute mil, wil=Wil/mil |
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| 491 | DO ij=ij_begin_ext, ij_end_ext |
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[377] | 492 | w_il(ij,l) = 2.*W(ij,l)/(rhodz(ij,kdown)+rhodz(ij,kup)) ! checked |
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[369] | 493 | END DO |
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| 494 | ! compute DePhi, v_el, G_el, F_el |
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| 495 | ! v_el, W2_el and therefore G_el incorporate metric factor le_de |
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| 496 | ! while DePhil, W_el and F_el don't |
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| 497 | DO ij=ij_begin_ext, ij_end_ext |
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| 498 | ! Compute on edge 'right' |
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| 499 | W_el = .5*( W(ij,l)+W(ij+t_right,l) ) |
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| 500 | DePhil(ij+u_right,l) = ne_right*(Phi(ij+t_right,l)-Phi(ij,l)) |
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| 501 | F_el(ij+u_right,l) = DePhil(ij+u_right,l)*W_el |
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| 502 | W2_el = .5*le_de(ij+u_right) * & |
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| 503 | ( W(ij,l)*w_il(ij,l) + W(ij+t_right,l)*w_il(ij+t_right,l) ) |
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[573] | 504 | V_EL(ij+u_right) = .5*le_de(ij+u_right)*(u(ij+u_right,kup)+u(ij+u_right,kdown)) ! checked |
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| 505 | G_EL(ij+u_right) = V_EL(ij+u_right)*W_el - DePhil(ij+u_right,l)*W2_el |
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[369] | 506 | ! Compute on edge 'lup' |
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| 507 | W_el = .5*( W(ij,l)+W(ij+t_lup,l) ) |
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| 508 | DePhil(ij+u_lup,l) = ne_lup*(Phi(ij+t_lup,l)-Phi(ij,l)) |
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| 509 | F_el(ij+u_lup,l) = DePhil(ij+u_lup,l)*W_el |
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| 510 | W2_el = .5*le_de(ij+u_lup) * & |
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| 511 | ( W(ij,l)*w_il(ij,l) + W(ij+t_lup,l)*w_il(ij+t_lup,l) ) |
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[573] | 512 | V_EL(ij+u_lup) = .5*le_de(ij+u_lup)*( u(ij+u_lup,kup) + u(ij+u_lup,kdown)) ! checked |
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| 513 | G_EL(ij+u_lup) = V_EL(ij+u_lup)*W_el - DePhil(ij+u_lup,l)*W2_el |
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[369] | 514 | ! Compute on edge 'ldown' |
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| 515 | W_el = .5*( W(ij,l)+W(ij+t_ldown,l) ) |
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| 516 | DePhil(ij+u_ldown,l) = ne_ldown*(Phi(ij+t_ldown,l)-Phi(ij,l)) |
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| 517 | F_el(ij+u_ldown,l) = DePhil(ij+u_ldown,l)*W_el |
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| 518 | W2_el = .5*le_de(ij+u_ldown) * & |
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| 519 | ( W(ij,l)*w_il(ij,l) + W(ij+t_ldown,l)*w_il(ij+t_ldown,l) ) |
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[573] | 520 | V_EL(ij+u_ldown) = .5*le_de(ij+u_ldown)*( u(ij+u_ldown,kup) + u(ij+u_ldown,kdown)) ! checked |
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| 521 | G_EL(ij+u_ldown) = V_EL(ij+u_ldown)*W_el - DePhil(ij+u_ldown,l)*W2_el |
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[369] | 522 | END DO |
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| 523 | ! compute GradPhi2, dPhi, dW |
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| 524 | DO ij=ij_begin_ext, ij_end_ext |
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| 525 | gradPhi2(ij,l) = & |
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| 526 | 1/(2*Ai(ij))*(le_de(ij+u_right)*DePhil(ij+u_right,l)**2 + & |
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| 527 | le_de(ij+u_rup)*DePhil(ij+u_rup,l)**2 + & |
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| 528 | le_de(ij+u_lup)*DePhil(ij+u_lup,l)**2 + & |
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| 529 | le_de(ij+u_left)*DePhil(ij+u_left,l)**2 + & |
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| 530 | le_de(ij+u_ldown)*DePhil(ij+u_ldown,l)**2 + & |
---|
| 531 | le_de(ij+u_rdown)*DePhil(ij+u_rdown,l)**2 ) |
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[377] | 532 | |
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| 533 | dPhi(ij,l) = gradPhi2(ij,l)*w_il(ij,l) -1/(2*Ai(ij))* & |
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[573] | 534 | ( DePhil(ij+u_right,l)*V_EL(ij+u_right) + & ! -v.gradPhi, |
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| 535 | DePhil(ij+u_rup,l)*V_EL(ij+u_rup) + & ! v_el already has le_de |
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| 536 | DePhil(ij+u_lup,l)*V_EL(ij+u_lup) + & |
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| 537 | DePhil(ij+u_left,l)*V_EL(ij+u_left) + & |
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| 538 | DePhil(ij+u_ldown,l)*V_EL(ij+u_ldown) + & |
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| 539 | DePhil(ij+u_rdown,l)*V_EL(ij+u_rdown) ) |
---|
[377] | 540 | |
---|
[369] | 541 | dW(ij,l) = -1./Ai(ij)*( & ! -div(G_el), |
---|
[573] | 542 | ne_right*G_EL(ij+u_right) + & ! G_el already has le_de |
---|
| 543 | ne_rup*G_EL(ij+u_rup) + & |
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| 544 | ne_lup*G_EL(ij+u_lup) + & |
---|
| 545 | ne_left*G_EL(ij+u_left) + & |
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| 546 | ne_ldown*G_EL(ij+u_ldown) + & |
---|
| 547 | ne_rdown*G_EL(ij+u_rdown)) |
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[369] | 548 | END DO |
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| 549 | END DO |
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[377] | 550 | |
---|
[369] | 551 | DO l=ll_begin, ll_end ! compute on k levels (layers) |
---|
| 552 | ! Compute berni at scalar points |
---|
| 553 | DO ij=ij_begin_ext, ij_end_ext |
---|
[573] | 554 | BERNI(ij) = & |
---|
[369] | 555 | 1/(4*Ai(ij))*( & |
---|
| 556 | le_de(ij+u_right)*u(ij+u_right,l)**2 + & |
---|
| 557 | le_de(ij+u_rup)*u(ij+u_rup,l)**2 + & |
---|
| 558 | le_de(ij+u_lup)*u(ij+u_lup,l)**2 + & |
---|
| 559 | le_de(ij+u_left)*u(ij+u_left,l)**2 + & |
---|
| 560 | le_de(ij+u_ldown)*u(ij+u_ldown,l)**2 + & |
---|
| 561 | le_de(ij+u_rdown)*u(ij+u_rdown,l)**2 ) & |
---|
[499] | 562 | - .25*( gradPhi2(ij,l) *w_il(ij,l)**2 + & |
---|
[369] | 563 | gradPhi2(ij,l+1)*w_il(ij,l+1)**2 ) |
---|
| 564 | END DO |
---|
| 565 | ! Compute mass flux and grad(berni) at edges |
---|
| 566 | DO ij=ij_begin_ext, ij_end_ext |
---|
| 567 | ! Compute on edge 'right' |
---|
| 568 | uu_right = 0.5*(rhodz(ij,l)+rhodz(ij+t_right,l))*u(ij+u_right,l) & |
---|
| 569 | -0.5*(F_el(ij+u_right,l)+F_el(ij+u_right,l+1)) |
---|
| 570 | hflux(ij+u_right,l) = uu_right*le_de(ij+u_right) |
---|
[573] | 571 | du(ij+u_right,l) = ne_right*(BERNI(ij)-BERNI(ij+t_right)) |
---|
[369] | 572 | ! Compute on edge 'lup' |
---|
| 573 | uu_lup = 0.5*(rhodz(ij,l)+rhodz(ij+t_lup,l))*u(ij+u_lup,l) & |
---|
| 574 | -0.5*(F_el(ij+u_lup,l)+F_el(ij+u_lup,l+1)) |
---|
| 575 | hflux(ij+u_lup,l) = uu_lup*le_de(ij+u_lup) |
---|
[573] | 576 | du(ij+u_lup,l) = ne_lup*(BERNI(ij)-BERNI(ij+t_lup)) |
---|
[369] | 577 | ! Compute on edge 'ldown' |
---|
| 578 | uu_ldown = 0.5*(rhodz(ij,l)+rhodz(ij+t_ldown,l))*u(ij+u_ldown,l) & |
---|
| 579 | -0.5*(F_el(ij+u_ldown,l)+F_el(ij+u_ldown,l+1)) |
---|
| 580 | hflux(ij+u_ldown,l) = uu_ldown*le_de(ij+u_ldown) |
---|
[573] | 581 | du(ij+u_ldown,l) = ne_ldown*(BERNI(ij)-BERNI(ij+t_ldown)) |
---|
[369] | 582 | END DO |
---|
| 583 | END DO |
---|
| 584 | |
---|
[573] | 585 | #undef V_EL |
---|
| 586 | #undef G_EL |
---|
| 587 | #undef BERNI |
---|
| 588 | |
---|
| 589 | END IF ! dysl |
---|
| 590 | |
---|
[369] | 591 | CALL trace_end("compute_caldyn_slow_NH") |
---|
| 592 | |
---|
| 593 | END SUBROUTINE compute_caldyn_slow_NH |
---|
| 594 | |
---|
[362] | 595 | END MODULE caldyn_kernels_hevi_mod |
---|