[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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[853] | 15 | PUBLIC :: compute_caldyn_fast,compute_NH_geopot |
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[362] | 16 | |
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| 17 | CONTAINS |
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| 18 | |
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[562] | 19 | SUBROUTINE compute_NH_geopot(tau, phis, m_ik, m_il, theta, W_il, Phi_il) |
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[368] | 20 | REAL(rstd),INTENT(IN) :: tau ! solve Phi-tau*dPhi/dt = Phi_rhs |
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[562] | 21 | REAL(rstd),INTENT(IN) :: phis(iim*jjm) |
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[368] | 22 | REAL(rstd),INTENT(IN) :: m_ik(iim*jjm,llm) |
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| 23 | REAL(rstd),INTENT(IN) :: m_il(iim*jjm,llm+1) |
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| 24 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm) |
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| 25 | REAL(rstd),INTENT(IN) :: W_il(iim*jjm,llm+1) ! vertical momentum |
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| 26 | REAL(rstd),INTENT(INOUT) :: Phi_il(iim*jjm,llm+1) ! geopotential |
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| 27 | |
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| 28 | REAL(rstd) :: Phi_star_il(iim*jjm,llm+1) |
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| 29 | REAL(rstd) :: p_ik(iim*jjm,llm) ! pressure |
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| 30 | REAL(rstd) :: R_il(iim*jjm,llm+1) ! rhs of tridiag problem |
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| 31 | REAL(rstd) :: x_il(iim*jjm,llm+1) ! solution of tridiag problem |
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| 32 | REAL(rstd) :: A_ik(iim*jjm,llm) ! off-diagonal coefficients of tridiag problem |
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| 33 | REAL(rstd) :: B_il(iim*jjm,llm+1) ! diagonal coefficients of tridiag problem |
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| 34 | REAL(rstd) :: C_ik(iim*jjm,llm) ! Thomas algorithm |
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| 35 | REAL(rstd) :: D_il(iim*jjm,llm+1) ! Thomas algorithm |
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| 36 | REAL(rstd) :: gamma, rho_ij, X_ij, Y_ij |
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[657] | 37 | REAL(rstd) :: wil, tau2_g, g2, gm2, ml_g2, c2_mik, vreff |
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[368] | 38 | |
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[538] | 39 | INTEGER :: iter, ij, l, ij_omp_begin_ext, ij_omp_end_ext |
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[368] | 40 | |
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[603] | 41 | CALL distrib_level(ij_begin_ext,ij_end_ext, ij_omp_begin_ext,ij_omp_end_ext) |
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[538] | 42 | |
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[573] | 43 | IF(dysl) THEN |
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[562] | 44 | #define PHI_BOT(ij) phis(ij) |
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[612] | 45 | #include "../kernels_hex/compute_NH_geopot.k90" |
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[573] | 46 | #undef PHI_BOT |
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| 47 | ELSE |
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[368] | 48 | ! FIXME : vertical OpenMP parallelism will not work |
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| 49 | |
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| 50 | tau2_g=tau*tau/g |
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| 51 | g2=g*g |
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| 52 | gm2 = g**-2 |
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| 53 | gamma = 1./(1.-kappa) |
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| 54 | |
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| 55 | ! compute Phi_star |
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| 56 | DO l=1,llm+1 |
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| 57 | !DIR$ SIMD |
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| 58 | DO ij=ij_begin_ext,ij_end_ext |
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| 59 | Phi_star_il(ij,l) = Phi_il(ij,l) + tau*g2*(W_il(ij,l)/m_il(ij,l)-tau) |
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| 60 | ENDDO |
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| 61 | ENDDO |
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| 62 | |
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| 63 | ! Newton-Raphson iteration : Phi_il contains current guess value |
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[377] | 64 | DO iter=1,5 ! 2 iterations should be enough |
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[368] | 65 | |
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| 66 | ! Compute pressure, A_ik |
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| 67 | DO l=1,llm |
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| 68 | !DIR$ SIMD |
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| 69 | DO ij=ij_begin_ext,ij_end_ext |
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| 70 | rho_ij = (g*m_ik(ij,l))/(Phi_il(ij,l+1)-Phi_il(ij,l)) |
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| 71 | X_ij = (cpp/preff)*kappa*theta(ij,l)*rho_ij |
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| 72 | p_ik(ij,l) = preff*(X_ij**gamma) |
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| 73 | 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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| 74 | A_ik(ij,l) = c2_mik*(tau/g*rho_ij)**2 |
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| 75 | ENDDO |
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| 76 | ENDDO |
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| 77 | |
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| 78 | ! Compute residual, B_il |
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| 79 | ! bottom interface l=1 |
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| 80 | !DIR$ SIMD |
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| 81 | DO ij=ij_begin_ext,ij_end_ext |
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| 82 | ml_g2 = gm2*m_il(ij,1) |
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| 83 | B_il(ij,1) = A_ik(ij,1) + ml_g2 + tau2_g*rho_bot |
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| 84 | R_il(ij,1) = ml_g2*( Phi_il(ij,1)-Phi_star_il(ij,1)) & |
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[565] | 85 | + tau2_g*( p_ik(ij,1)-pbot+rho_bot*(Phi_il(ij,1)-phis(ij)) ) |
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[368] | 86 | ENDDO |
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| 87 | ! inner interfaces |
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| 88 | DO l=2,llm |
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| 89 | !DIR$ SIMD |
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| 90 | DO ij=ij_begin_ext,ij_end_ext |
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| 91 | ml_g2 = gm2*m_il(ij,l) |
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| 92 | B_il(ij,l) = A_ik(ij,l)+A_ik(ij,l-1) + ml_g2 |
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| 93 | R_il(ij,l) = ml_g2*( Phi_il(ij,l)-Phi_star_il(ij,l)) & |
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| 94 | + tau2_g*(p_ik(ij,l)-p_ik(ij,l-1)) |
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| 95 | ! consistency check : if Wil=0 and initial state is in hydrostatic balance |
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| 96 | ! then Phi_star_il(ij,l) = Phi_il(ij,l) - tau^2*g^2 |
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| 97 | ! and residual = tau^2*(ml+(1/g)dl_pi)=0 |
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| 98 | ENDDO |
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| 99 | ENDDO |
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| 100 | ! top interface l=llm+1 |
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| 101 | !DIR$ SIMD |
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| 102 | DO ij=ij_begin_ext,ij_end_ext |
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| 103 | ml_g2 = gm2*m_il(ij,llm+1) |
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| 104 | B_il(ij,llm+1) = A_ik(ij,llm) + ml_g2 |
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| 105 | R_il(ij,llm+1) = ml_g2*( Phi_il(ij,llm+1)-Phi_star_il(ij,llm+1)) & |
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| 106 | + tau2_g*( ptop-p_ik(ij,llm) ) |
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| 107 | ENDDO |
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| 108 | |
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| 109 | ! FIXME later |
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| 110 | ! the lines below modify the tridiag problem |
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| 111 | ! for flat, rigid boundary conditions at top and bottom : |
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| 112 | ! zero out A(1), A(llm), R(1), R(llm+1) |
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| 113 | ! => x(l)=0 at l=1,llm+1 |
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| 114 | DO ij=ij_begin_ext,ij_end_ext |
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| 115 | A_ik(ij,1) = 0. |
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| 116 | A_ik(ij,llm) = 0. |
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| 117 | R_il(ij,1) = 0. |
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| 118 | R_il(ij,llm+1) = 0. |
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| 119 | ENDDO |
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| 120 | |
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| 121 | IF(debug_hevi_solver) THEN ! print Linf(residual) |
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| 122 | PRINT *, '[hevi_solver] R,p', iter, MAXVAL(ABS(R_il)), MAXVAL(p_ik) |
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| 123 | END IF |
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| 124 | |
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| 125 | ! 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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| 126 | ! Forward sweep : |
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| 127 | ! C(0)=0, C(l) = -A(l) / (B(l)+A(l-1)C(l-1)), |
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| 128 | ! 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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| 129 | ! bottom interface l=1 |
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| 130 | !DIR$ SIMD |
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| 131 | DO ij=ij_begin_ext,ij_end_ext |
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| 132 | X_ij = 1./B_il(ij,1) |
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| 133 | C_ik(ij,1) = -A_ik(ij,1) * X_ij |
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| 134 | D_il(ij,1) = R_il(ij,1) * X_ij |
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| 135 | ENDDO |
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| 136 | ! inner interfaces/layers |
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| 137 | DO l=2,llm |
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| 138 | !DIR$ SIMD |
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| 139 | DO ij=ij_begin_ext,ij_end_ext |
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| 140 | X_ij = 1./(B_il(ij,l) + A_ik(ij,l-1)*C_ik(ij,l-1)) |
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| 141 | C_ik(ij,l) = -A_ik(ij,l) * X_ij |
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| 142 | D_il(ij,l) = (R_il(ij,l)+A_ik(ij,l-1)*D_il(ij,l-1)) * X_ij |
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| 143 | ENDDO |
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| 144 | ENDDO |
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| 145 | ! top interface l=llm+1 |
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| 146 | !DIR$ SIMD |
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| 147 | DO ij=ij_begin_ext,ij_end_ext |
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| 148 | X_ij = 1./(B_il(ij,llm+1) + A_ik(ij,llm)*C_ik(ij,llm)) |
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| 149 | D_il(ij,llm+1) = (R_il(ij,llm+1)+A_ik(ij,llm)*D_il(ij,llm)) * X_ij |
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| 150 | ENDDO |
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| 151 | |
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| 152 | ! Back substitution : |
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| 153 | ! x(i) = D(i)-C(i)x(i+1), x(N+1)=0 |
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| 154 | ! + Newton-Raphson update |
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| 155 | x_il=0. ! FIXME |
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| 156 | ! top interface l=llm+1 |
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| 157 | !DIR$ SIMD |
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| 158 | DO ij=ij_begin_ext,ij_end_ext |
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| 159 | x_il(ij,llm+1) = D_il(ij,llm+1) |
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| 160 | Phi_il(ij,llm+1) = Phi_il(ij,llm+1) - x_il(ij,llm+1) |
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| 161 | ENDDO |
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| 162 | ! lower interfaces |
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| 163 | DO l=llm,1,-1 |
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| 164 | !DIR$ SIMD |
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| 165 | DO ij=ij_begin_ext,ij_end_ext |
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| 166 | x_il(ij,l) = D_il(ij,l) - C_ik(ij,l)*x_il(ij,l+1) |
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| 167 | Phi_il(ij,l) = Phi_il(ij,l) - x_il(ij,l) |
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| 168 | ENDDO |
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| 169 | ENDDO |
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| 170 | |
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| 171 | IF(debug_hevi_solver) THEN |
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| 172 | PRINT *, '[hevi_solver] A,B', iter, MAXVAL(ABS(A_ik)),MAXVAL(ABS(B_il)) |
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| 173 | PRINT *, '[hevi_solver] C,D', iter, MAXVAL(ABS(C_ik)),MAXVAL(ABS(D_il)) |
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| 174 | DO l=1,llm+1 |
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[821] | 175 | WRITE(*,'(A,I2.1,I3.2,E9.2)') '[hevi_solver] x', iter,l, MAXVAL(ABS(x_il(:,l))) |
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[368] | 176 | END DO |
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| 177 | END IF |
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| 178 | |
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| 179 | END DO ! Newton-Raphson |
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[538] | 180 | |
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[573] | 181 | END IF ! dysl |
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[368] | 182 | |
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| 183 | END SUBROUTINE compute_NH_geopot |
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| 184 | |
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[366] | 185 | SUBROUTINE compute_caldyn_fast(tau,u,rhodz,theta,pk,geopot,du) |
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| 186 | REAL(rstd),INTENT(IN) :: tau ! "solve" u-tau*du/dt = rhs |
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| 187 | REAL(rstd),INTENT(INOUT) :: u(iim*3*jjm,llm) ! OUT if tau>0 |
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| 188 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) |
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[405] | 189 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) |
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[366] | 190 | REAL(rstd),INTENT(INOUT) :: pk(iim*jjm,llm) |
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| 191 | REAL(rstd),INTENT(INOUT) :: geopot(iim*jjm,llm+1) |
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[369] | 192 | REAL(rstd),INTENT(INOUT) :: du(iim*3*jjm,llm) |
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[362] | 193 | REAL(rstd) :: berni(iim*jjm,llm) ! Bernoulli function |
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[405] | 194 | REAL(rstd) :: berniv(iim*jjm,llm) ! moist Bernoulli function |
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[362] | 195 | |
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| 196 | INTEGER :: i,j,ij,l |
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[837] | 197 | REAL(rstd) :: cp_ik, qv, temp, chi, nu, due, due_right, due_lup, due_ldown |
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[362] | 198 | |
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| 199 | CALL trace_start("compute_caldyn_fast") |
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[366] | 200 | |
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[562] | 201 | IF(dysl_caldyn_fast) THEN |
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[612] | 202 | #include "../kernels_hex/caldyn_fast.k90" |
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[562] | 203 | ELSE |
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| 204 | |
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[366] | 205 | ! Compute Bernoulli term |
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[362] | 206 | IF(boussinesq) THEN |
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| 207 | DO l=ll_begin,ll_end |
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| 208 | !DIR$ SIMD |
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| 209 | DO ij=ij_begin,ij_end |
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| 210 | berni(ij,l) = pk(ij,l) |
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| 211 | ! from now on pk contains the vertically-averaged geopotential |
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| 212 | pk(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) |
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[401] | 213 | END DO |
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| 214 | END DO |
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[362] | 215 | ELSE ! compressible |
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| 216 | |
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| 217 | DO l=ll_begin,ll_end |
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[401] | 218 | SELECT CASE(caldyn_thermo) |
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| 219 | CASE(thermo_theta) ! vdp = theta.dpi => B = Phi |
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| 220 | !DIR$ SIMD |
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| 221 | DO ij=ij_begin,ij_end |
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| 222 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) |
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| 223 | END DO |
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| 224 | CASE(thermo_entropy) ! vdp = dG + sdT => B = Phi + G, G=h-Ts=T*(cpp-s) |
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| 225 | !DIR$ SIMD |
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| 226 | DO ij=ij_begin,ij_end |
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| 227 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
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[405] | 228 | + pk(ij,l)*(cpp-theta(ij,l,1)) ! pk=temperature, theta=entropy |
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[401] | 229 | END DO |
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[405] | 230 | CASE(thermo_moist) |
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| 231 | !DIR$ SIMD |
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| 232 | DO ij=ij_begin,ij_end |
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| 233 | ! du/dt = grad(Bd)+rv.grad(Bv)+s.grad(T) |
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| 234 | ! Bd = Phi + gibbs_d |
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| 235 | ! Bv = Phi + gibbs_v |
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| 236 | ! pk=temperature, theta=entropy |
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| 237 | qv = theta(ij,l,2) |
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| 238 | temp = pk(ij,l) |
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| 239 | chi = log(temp/Treff) |
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| 240 | nu = (chi*(cpp+qv*cppv)-theta(ij,l,1))/(Rd+qv*Rv) ! log(p/preff) |
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| 241 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
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| 242 | + temp*(cpp*(1.-chi)+Rd*nu) |
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| 243 | berniv(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
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| 244 | + temp*(cppv*(1.-chi)+Rv*nu) |
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| 245 | END DO |
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[401] | 246 | END SELECT |
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| 247 | END DO |
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[362] | 248 | |
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| 249 | END IF ! Boussinesq/compressible |
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| 250 | |
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[369] | 251 | !!! u:=u+tau*du, du = -grad(B)-theta.grad(pi) |
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[362] | 252 | DO l=ll_begin,ll_end |
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[405] | 253 | IF(caldyn_thermo == thermo_moist) THEN |
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| 254 | !DIR$ SIMD |
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| 255 | DO ij=ij_begin,ij_end |
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| 256 | due_right = berni(ij+t_right,l)-berni(ij,l) & |
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| 257 | + 0.5*(theta(ij,l,1)+theta(ij+t_right,l,1)) & |
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| 258 | *(pk(ij+t_right,l)-pk(ij,l)) & |
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| 259 | + 0.5*(theta(ij,l,2)+theta(ij+t_right,l,2)) & |
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| 260 | *(berniv(ij+t_right,l)-berniv(ij,l)) |
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| 261 | |
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| 262 | due_lup = berni(ij+t_lup,l)-berni(ij,l) & |
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| 263 | + 0.5*(theta(ij,l,1)+theta(ij+t_lup,l,1)) & |
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| 264 | *(pk(ij+t_lup,l)-pk(ij,l)) & |
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| 265 | + 0.5*(theta(ij,l,2)+theta(ij+t_lup,l,2)) & |
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| 266 | *(berniv(ij+t_lup,l)-berniv(ij,l)) |
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| 267 | |
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| 268 | due_ldown = berni(ij+t_ldown,l)-berni(ij,l) & |
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| 269 | + 0.5*(theta(ij,l,1)+theta(ij+t_ldown,l,1)) & |
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| 270 | *(pk(ij+t_ldown,l)-pk(ij,l)) & |
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| 271 | + 0.5*(theta(ij,l,2)+theta(ij+t_ldown,l,2)) & |
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| 272 | *(berniv(ij+t_ldown,l)-berniv(ij,l)) |
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| 273 | |
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| 274 | du(ij+u_right,l) = du(ij+u_right,l) - ne_right*due_right |
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| 275 | du(ij+u_lup,l) = du(ij+u_lup,l) - ne_lup*due_lup |
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| 276 | du(ij+u_ldown,l) = du(ij+u_ldown,l) - ne_ldown*due_ldown |
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| 277 | u(ij+u_right,l) = u(ij+u_right,l) + tau*du(ij+u_right,l) |
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| 278 | u(ij+u_lup,l) = u(ij+u_lup,l) + tau*du(ij+u_lup,l) |
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| 279 | u(ij+u_ldown,l) = u(ij+u_ldown,l) + tau*du(ij+u_ldown,l) |
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| 280 | END DO |
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| 281 | ELSE |
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| 282 | !DIR$ SIMD |
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| 283 | DO ij=ij_begin,ij_end |
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| 284 | due_right = 0.5*(theta(ij,l,1)+theta(ij+t_right,l,1)) & |
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| 285 | *(pk(ij+t_right,l)-pk(ij,l)) & |
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| 286 | + berni(ij+t_right,l)-berni(ij,l) |
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| 287 | due_lup = 0.5*(theta(ij,l,1)+theta(ij+t_lup,l,1)) & |
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| 288 | *(pk(ij+t_lup,l)-pk(ij,l)) & |
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| 289 | + berni(ij+t_lup,l)-berni(ij,l) |
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| 290 | due_ldown = 0.5*(theta(ij,l,1)+theta(ij+t_ldown,l,1)) & |
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| 291 | *(pk(ij+t_ldown,l)-pk(ij,l)) & |
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| 292 | + berni(ij+t_ldown,l)-berni(ij,l) |
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| 293 | du(ij+u_right,l) = du(ij+u_right,l) - ne_right*due_right |
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| 294 | du(ij+u_lup,l) = du(ij+u_lup,l) - ne_lup*due_lup |
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| 295 | du(ij+u_ldown,l) = du(ij+u_ldown,l) - ne_ldown*due_ldown |
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| 296 | u(ij+u_right,l) = u(ij+u_right,l) + tau*du(ij+u_right,l) |
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| 297 | u(ij+u_lup,l) = u(ij+u_lup,l) + tau*du(ij+u_lup,l) |
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| 298 | u(ij+u_ldown,l) = u(ij+u_ldown,l) + tau*du(ij+u_ldown,l) |
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| 299 | END DO |
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| 300 | END IF |
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| 301 | END DO |
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[562] | 302 | |
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| 303 | END IF ! dysl |
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[362] | 304 | CALL trace_end("compute_caldyn_fast") |
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| 305 | |
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| 306 | END SUBROUTINE compute_caldyn_fast |
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| 307 | |
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| 308 | END MODULE caldyn_kernels_hevi_mod |
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