1 | MODULE caldyn_kernels_hevi_mod |
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2 | USE icosa |
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3 | USE trace |
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4 | USE omp_para |
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5 | USE disvert_mod |
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6 | USE transfert_mod |
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7 | USE caldyn_vars_mod |
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8 | IMPLICIT NONE |
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9 | PRIVATE |
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10 | |
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11 | REAL(rstd), PARAMETER :: pbot=1e5, rho_bot=1e6 |
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12 | |
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13 | LOGICAL, SAVE :: debug_hevi_solver = .FALSE. |
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14 | |
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15 | PUBLIC :: compute_caldyn_Kv, compute_caldyn_Coriolis, & |
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16 | compute_caldyn_slow_hydro, compute_caldyn_slow_NH, & |
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17 | compute_caldyn_solver, compute_caldyn_fast |
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18 | |
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19 | CONTAINS |
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20 | |
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21 | SUBROUTINE compute_caldyn_kv(ue, Kv) |
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22 | REAL(rstd),INTENT(IN) :: ue(3*iim*jjm,llm) |
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23 | REAL(rstd),INTENT(OUT) :: Kv(2*iim*jjm,llm) |
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24 | REAL(rstd) :: ue2(3*iim*jjm), dem2(3*iim*jjm), r2_Av(2*iim*jjm), rad2 |
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25 | INTEGER :: ij,l, u_up, u_down |
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26 | |
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27 | u_up = t_lup + u_right |
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28 | u_down = t_rdown + u_left |
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29 | |
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30 | rad2=radius**2 |
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31 | |
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32 | !DIR$ SIMD |
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33 | DO ij=ij_begin_ext,ij_end_ext |
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34 | dem2(ij+u_right) = de(ij+u_right)**(-2) |
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35 | dem2(ij+u_lup) = de(ij+u_lup)**(-2) |
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36 | dem2(ij+u_ldown) = de(ij+u_ldown)**(-2) |
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37 | r2_Av(ij+z_up) = rad2*(1./Av(ij+z_up)) |
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38 | r2_Av(ij+z_down) = rad2*(1./Av(ij+z_down)) |
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39 | END DO |
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40 | |
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41 | DO l=ll_begin,ll_end |
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42 | ! compute squared normal component from 1-form |
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43 | !DIR$ SIMD |
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44 | DO ij=ij_begin_ext,ij_end_ext |
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45 | ue2(ij+u_right) = dem2(ij+u_right)* (ue(ij+u_right,l)**2) |
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46 | ue2(ij+u_lup) = dem2(ij+u_lup) * (ue(ij+u_lup,l)**2) |
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47 | ue2(ij+u_ldown) = dem2(ij+u_ldown)* (ue(ij+u_ldown,l)**2) |
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48 | END DO |
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49 | ! average squared normal component to vertices |
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50 | !DIR$ SIMD |
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51 | DO ij=ij_begin_ext,ij_end_ext |
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52 | Kv(ij+z_up,l) = r2_Av(ij+z_up)*( & |
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53 | S1(ij,vup)*ue2(ij+u_rup) + & |
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54 | S2(ij,vup)*ue2(ij+u_lup) + & |
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55 | S2(ij+t_lup,vrdown)*ue2(ij+u_up)) |
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56 | |
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57 | Kv(ij+z_down,l) = r2_Av(ij+z_down)*( & |
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58 | S1(ij,vdown)*ue2(ij+u_ldown) + & |
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59 | S2(ij,vdown)*ue2(ij+u_rdown) + & |
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60 | S2(ij+t_rdown,vlup)*ue2(ij+u_down) ) |
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61 | ENDDO |
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62 | ENDDO |
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63 | END SUBROUTINE compute_caldyn_kv |
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64 | |
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65 | SUBROUTINE compute_NH_geopot(tau, phis, m_ik, m_il, theta, W_il, Phi_il) |
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66 | REAL(rstd),INTENT(IN) :: tau ! solve Phi-tau*dPhi/dt = Phi_rhs |
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67 | REAL(rstd),INTENT(IN) :: phis(iim*jjm) |
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68 | REAL(rstd),INTENT(IN) :: m_ik(iim*jjm,llm) |
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69 | REAL(rstd),INTENT(IN) :: m_il(iim*jjm,llm+1) |
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70 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm) |
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71 | REAL(rstd),INTENT(IN) :: W_il(iim*jjm,llm+1) ! vertical momentum |
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72 | REAL(rstd),INTENT(INOUT) :: Phi_il(iim*jjm,llm+1) ! geopotential |
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73 | |
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74 | REAL(rstd) :: Phi_star_il(iim*jjm,llm+1) |
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75 | REAL(rstd) :: p_ik(iim*jjm,llm) ! pressure |
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76 | REAL(rstd) :: R_il(iim*jjm,llm+1) ! rhs of tridiag problem |
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77 | REAL(rstd) :: x_il(iim*jjm,llm+1) ! solution of tridiag problem |
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78 | REAL(rstd) :: A_ik(iim*jjm,llm) ! off-diagonal coefficients of tridiag problem |
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79 | REAL(rstd) :: B_il(iim*jjm,llm+1) ! diagonal coefficients of tridiag problem |
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80 | REAL(rstd) :: C_ik(iim*jjm,llm) ! Thomas algorithm |
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81 | REAL(rstd) :: D_il(iim*jjm,llm+1) ! Thomas algorithm |
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82 | REAL(rstd) :: gamma, rho_ij, X_ij, Y_ij |
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83 | REAL(rstd) :: wil, tau2_g, g2, gm2, ml_g2, c2_mik, vreff |
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84 | |
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85 | INTEGER :: iter, ij, l, ij_omp_begin_ext, ij_omp_end_ext |
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86 | |
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87 | CALL distrib_level(ij_begin_ext,ij_end_ext, ij_omp_begin_ext,ij_omp_end_ext) |
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88 | |
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89 | IF(dysl) THEN |
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90 | #define PHI_BOT(ij) phis(ij) |
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91 | #include "../kernels_hex/compute_NH_geopot.k90" |
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92 | #undef PHI_BOT |
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93 | ELSE |
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94 | ! FIXME : vertical OpenMP parallelism will not work |
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95 | |
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96 | tau2_g=tau*tau/g |
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97 | g2=g*g |
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98 | gm2 = g**-2 |
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99 | gamma = 1./(1.-kappa) |
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100 | |
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101 | ! compute Phi_star |
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102 | DO l=1,llm+1 |
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103 | !DIR$ SIMD |
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104 | DO ij=ij_begin_ext,ij_end_ext |
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105 | Phi_star_il(ij,l) = Phi_il(ij,l) + tau*g2*(W_il(ij,l)/m_il(ij,l)-tau) |
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106 | ENDDO |
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107 | ENDDO |
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108 | |
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109 | ! Newton-Raphson iteration : Phi_il contains current guess value |
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110 | DO iter=1,5 ! 2 iterations should be enough |
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111 | |
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112 | ! Compute pressure, A_ik |
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113 | DO l=1,llm |
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114 | !DIR$ SIMD |
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115 | DO ij=ij_begin_ext,ij_end_ext |
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116 | rho_ij = (g*m_ik(ij,l))/(Phi_il(ij,l+1)-Phi_il(ij,l)) |
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117 | X_ij = (cpp/preff)*kappa*theta(ij,l)*rho_ij |
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118 | p_ik(ij,l) = preff*(X_ij**gamma) |
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119 | 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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120 | A_ik(ij,l) = c2_mik*(tau/g*rho_ij)**2 |
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121 | ENDDO |
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122 | ENDDO |
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123 | |
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124 | ! Compute residual, B_il |
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125 | ! bottom interface l=1 |
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126 | !DIR$ SIMD |
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127 | DO ij=ij_begin_ext,ij_end_ext |
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128 | ml_g2 = gm2*m_il(ij,1) |
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129 | B_il(ij,1) = A_ik(ij,1) + ml_g2 + tau2_g*rho_bot |
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130 | R_il(ij,1) = ml_g2*( Phi_il(ij,1)-Phi_star_il(ij,1)) & |
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131 | + tau2_g*( p_ik(ij,1)-pbot+rho_bot*(Phi_il(ij,1)-phis(ij)) ) |
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132 | ENDDO |
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133 | ! inner interfaces |
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134 | DO l=2,llm |
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135 | !DIR$ SIMD |
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136 | DO ij=ij_begin_ext,ij_end_ext |
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137 | ml_g2 = gm2*m_il(ij,l) |
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138 | B_il(ij,l) = A_ik(ij,l)+A_ik(ij,l-1) + ml_g2 |
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139 | R_il(ij,l) = ml_g2*( Phi_il(ij,l)-Phi_star_il(ij,l)) & |
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140 | + tau2_g*(p_ik(ij,l)-p_ik(ij,l-1)) |
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141 | ! consistency check : if Wil=0 and initial state is in hydrostatic balance |
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142 | ! then Phi_star_il(ij,l) = Phi_il(ij,l) - tau^2*g^2 |
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143 | ! and residual = tau^2*(ml+(1/g)dl_pi)=0 |
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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 | ml_g2 = gm2*m_il(ij,llm+1) |
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150 | B_il(ij,llm+1) = A_ik(ij,llm) + ml_g2 |
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151 | R_il(ij,llm+1) = ml_g2*( Phi_il(ij,llm+1)-Phi_star_il(ij,llm+1)) & |
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152 | + tau2_g*( ptop-p_ik(ij,llm) ) |
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153 | ENDDO |
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154 | |
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155 | ! FIXME later |
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156 | ! the lines below modify the tridiag problem |
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157 | ! for flat, rigid boundary conditions at top and bottom : |
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158 | ! zero out A(1), A(llm), R(1), R(llm+1) |
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159 | ! => x(l)=0 at l=1,llm+1 |
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160 | DO ij=ij_begin_ext,ij_end_ext |
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161 | A_ik(ij,1) = 0. |
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162 | A_ik(ij,llm) = 0. |
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163 | R_il(ij,1) = 0. |
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164 | R_il(ij,llm+1) = 0. |
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165 | ENDDO |
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166 | |
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167 | IF(debug_hevi_solver) THEN ! print Linf(residual) |
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168 | PRINT *, '[hevi_solver] R,p', iter, MAXVAL(ABS(R_il)), MAXVAL(p_ik) |
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169 | END IF |
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170 | |
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171 | ! 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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172 | ! Forward sweep : |
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173 | ! C(0)=0, C(l) = -A(l) / (B(l)+A(l-1)C(l-1)), |
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174 | ! 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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175 | ! bottom interface l=1 |
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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 | X_ij = 1./B_il(ij,1) |
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179 | C_ik(ij,1) = -A_ik(ij,1) * X_ij |
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180 | D_il(ij,1) = R_il(ij,1) * X_ij |
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181 | ENDDO |
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182 | ! inner interfaces/layers |
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183 | DO l=2,llm |
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184 | !DIR$ SIMD |
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185 | DO ij=ij_begin_ext,ij_end_ext |
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186 | X_ij = 1./(B_il(ij,l) + A_ik(ij,l-1)*C_ik(ij,l-1)) |
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187 | C_ik(ij,l) = -A_ik(ij,l) * X_ij |
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188 | D_il(ij,l) = (R_il(ij,l)+A_ik(ij,l-1)*D_il(ij,l-1)) * X_ij |
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189 | ENDDO |
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190 | ENDDO |
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191 | ! top interface l=llm+1 |
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192 | !DIR$ SIMD |
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193 | DO ij=ij_begin_ext,ij_end_ext |
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194 | X_ij = 1./(B_il(ij,llm+1) + A_ik(ij,llm)*C_ik(ij,llm)) |
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195 | D_il(ij,llm+1) = (R_il(ij,llm+1)+A_ik(ij,llm)*D_il(ij,llm)) * X_ij |
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196 | ENDDO |
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197 | |
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198 | ! Back substitution : |
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199 | ! x(i) = D(i)-C(i)x(i+1), x(N+1)=0 |
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200 | ! + Newton-Raphson update |
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201 | x_il=0. ! FIXME |
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202 | ! top interface l=llm+1 |
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203 | !DIR$ SIMD |
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204 | DO ij=ij_begin_ext,ij_end_ext |
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205 | x_il(ij,llm+1) = D_il(ij,llm+1) |
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206 | Phi_il(ij,llm+1) = Phi_il(ij,llm+1) - x_il(ij,llm+1) |
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207 | ENDDO |
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208 | ! lower interfaces |
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209 | DO l=llm,1,-1 |
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210 | !DIR$ SIMD |
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211 | DO ij=ij_begin_ext,ij_end_ext |
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212 | x_il(ij,l) = D_il(ij,l) - C_ik(ij,l)*x_il(ij,l+1) |
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213 | Phi_il(ij,l) = Phi_il(ij,l) - x_il(ij,l) |
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214 | ENDDO |
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215 | ENDDO |
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216 | |
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217 | IF(debug_hevi_solver) THEN |
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218 | PRINT *, '[hevi_solver] A,B', iter, MAXVAL(ABS(A_ik)),MAXVAL(ABS(B_il)) |
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219 | PRINT *, '[hevi_solver] C,D', iter, MAXVAL(ABS(C_ik)),MAXVAL(ABS(D_il)) |
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220 | DO l=1,llm+1 |
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221 | WRITE(*,'(A,I2.1,I3.2,E9.2)') '[hevi_solver] x', iter,l, MAXVAL(ABS(x_il(:,l))) |
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222 | END DO |
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223 | END IF |
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224 | |
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225 | END DO ! Newton-Raphson |
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226 | |
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227 | END IF ! dysl |
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228 | |
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229 | END SUBROUTINE compute_NH_geopot |
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230 | |
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231 | SUBROUTINE compute_caldyn_solver(tau,phis, rhodz,theta,pk, geopot,W, m_il,pres, dPhi,dW,du) |
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232 | REAL(rstd),INTENT(IN) :: tau ! "solve" Phi-tau*dPhi/dt = Phi_rhs |
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233 | REAL(rstd),INTENT(IN) :: phis(iim*jjm) |
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234 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) |
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235 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) |
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236 | REAL(rstd),INTENT(OUT) :: pk(iim*jjm,llm) |
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237 | REAL(rstd),INTENT(INOUT) :: geopot(iim*jjm,llm+1) |
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238 | REAL(rstd),INTENT(INOUT) :: W(iim*jjm,llm+1) ! OUT if tau>0 |
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239 | REAL(rstd),INTENT(OUT) :: m_il(iim*jjm,llm+1) ! rhodz averaged to interfaces |
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240 | REAL(rstd),INTENT(OUT) :: pres(iim*jjm,llm) ! pressure |
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241 | REAL(rstd),INTENT(OUT) :: dW(iim*jjm,llm+1) |
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242 | REAL(rstd),INTENT(OUT) :: dPhi(iim*jjm,llm+1) |
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243 | REAL(rstd),INTENT(OUT) :: du(3*iim*jjm,llm) |
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244 | |
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245 | REAL(rstd) :: berni(iim*jjm,llm) ! (W/m_il)^2 |
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246 | REAL(rstd) :: berni1(iim*jjm) ! (W/m_il)^2 |
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247 | REAL(rstd) :: gamma, rho_ij, T_ij, X_ij, Y_ij, vreff, Rd, Cvd, Rd_preff |
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248 | INTEGER :: ij, l |
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249 | |
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250 | CALL trace_start("compute_caldyn_solver") |
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251 | |
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252 | Rd=cpp*kappa |
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253 | |
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254 | IF(dysl) THEN |
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255 | |
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256 | !$OMP BARRIER |
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257 | |
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258 | #include "../kernels_hex/caldyn_mil.k90" |
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259 | IF(tau>0) THEN ! solve implicit problem for geopotential |
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260 | CALL compute_NH_geopot(tau,phis, rhodz, m_il, theta, W, geopot) |
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261 | END IF |
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262 | #define PHI_BOT(ij) phis(ij) |
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263 | #include "../kernels_hex/caldyn_solver.k90" |
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264 | #undef PHI_BOT |
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265 | !$OMP BARRIER |
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266 | |
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267 | ELSE |
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268 | |
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269 | #define BERNI(ij) berni1(ij) |
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270 | ! FIXME : vertical OpenMP parallelism will not work |
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271 | |
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272 | ! average m_ik to interfaces => m_il |
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273 | !DIR$ SIMD |
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274 | DO ij=ij_begin_ext,ij_end_ext |
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275 | m_il(ij,1) = .5*rhodz(ij,1) |
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276 | ENDDO |
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277 | DO l=2,llm |
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278 | !DIR$ SIMD |
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279 | DO ij=ij_begin_ext,ij_end_ext |
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280 | m_il(ij,l) = .5*(rhodz(ij,l-1)+rhodz(ij,l)) |
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281 | ENDDO |
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282 | ENDDO |
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283 | !DIR$ SIMD |
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284 | DO ij=ij_begin_ext,ij_end_ext |
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285 | m_il(ij,llm+1) = .5*rhodz(ij,llm) |
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286 | ENDDO |
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287 | |
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288 | IF(tau>0) THEN ! solve implicit problem for geopotential |
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289 | CALL compute_NH_geopot(tau, phis, rhodz, m_il, theta, W, geopot) |
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290 | END IF |
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291 | |
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292 | ! Compute pressure, stored temporarily in pk |
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293 | ! kappa = R/Cp |
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294 | ! 1-kappa = Cv/Cp |
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295 | ! Cp/Cv = 1/(1-kappa) |
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296 | gamma = 1./(1.-kappa) |
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297 | DO l=1,llm |
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298 | !DIR$ SIMD |
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299 | DO ij=ij_begin_ext,ij_end_ext |
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300 | rho_ij = (g*rhodz(ij,l))/(geopot(ij,l+1)-geopot(ij,l)) |
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301 | X_ij = (cpp/preff)*kappa*theta(ij,l,1)*rho_ij |
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302 | ! kappa.theta.rho = p/exner |
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303 | ! => X = (p/p0)/(exner/Cp) |
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304 | ! = (p/p0)^(1-kappa) |
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305 | pk(ij,l) = preff*(X_ij**gamma) |
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306 | ENDDO |
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307 | ENDDO |
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308 | |
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309 | ! Update W, compute tendencies |
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310 | DO l=2,llm |
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311 | !DIR$ SIMD |
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312 | DO ij=ij_begin_ext,ij_end_ext |
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313 | dW(ij,l) = (1./g)*(pk(ij,l-1)-pk(ij,l)) - m_il(ij,l) |
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314 | W(ij,l) = W(ij,l)+tau*dW(ij,l) ! update W |
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315 | dPhi(ij,l) = g*g*W(ij,l)/m_il(ij,l) |
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316 | ENDDO |
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317 | ! PRINT *,'Max dPhi', l,ij_begin,ij_end, MAXVAL(abs(dPhi(ij_begin:ij_end,l))) |
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318 | ! PRINT *,'Max dW', l,ij_begin,ij_end, MAXVAL(abs(dW(ij_begin:ij_end,l))) |
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319 | ENDDO |
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320 | ! Lower BC (FIXME : no orography yet !) |
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321 | DO ij=ij_begin,ij_end |
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322 | dPhi(ij,1)=0 |
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323 | W(ij,1)=0 |
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324 | dW(ij,1)=0 |
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325 | dPhi(ij,llm+1)=0 ! rigid lid |
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326 | W(ij,llm+1)=0 |
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327 | dW(ij,llm+1)=0 |
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328 | ENDDO |
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329 | ! Upper BC p=ptop |
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330 | ! DO ij=ij_omp_begin_ext,ij_omp_end_ext |
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331 | ! dPhi(ij,llm+1) = W(ij,llm+1)/rhodz(ij,llm) |
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332 | ! dW(ij,llm+1) = (1./g)*(pk(ij,llm)-ptop) - .5*rhodz(ij,llm) |
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333 | ! ENDDO |
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334 | |
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335 | ! Compute Exner function (needed by compute_caldyn_fast) and du=-g^2.grad(w^2) |
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336 | DO l=1,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 | pk(ij,l) = cpp*((pk(ij,l)/preff)**kappa) ! other formulae possible if exponentiation is slow |
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340 | BERNI(ij) = (-.25*g*g)*( & |
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341 | (W(ij,l)/m_il(ij,l))**2 & |
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342 | + (W(ij,l+1)/m_il(ij,l+1))**2 ) |
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343 | ENDDO |
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344 | DO ij=ij_begin,ij_end |
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345 | du(ij+u_right,l) = ne_right*(BERNI(ij)-BERNI(ij+t_right)) |
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346 | du(ij+u_lup,l) = ne_lup *(BERNI(ij)-BERNI(ij+t_lup)) |
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347 | du(ij+u_ldown,l) = ne_ldown*(BERNI(ij)-BERNI(ij+t_ldown)) |
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348 | ENDDO |
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349 | ENDDO |
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350 | #undef BERNI |
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351 | |
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352 | END IF ! dysl |
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353 | |
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354 | CALL trace_end("compute_caldyn_solver") |
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355 | |
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356 | END SUBROUTINE compute_caldyn_solver |
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357 | |
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358 | SUBROUTINE compute_caldyn_fast(tau,u,rhodz,theta,pk,geopot,du) |
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359 | REAL(rstd),INTENT(IN) :: tau ! "solve" u-tau*du/dt = rhs |
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360 | REAL(rstd),INTENT(INOUT) :: u(iim*3*jjm,llm) ! OUT if tau>0 |
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361 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) |
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362 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) |
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363 | REAL(rstd),INTENT(INOUT) :: pk(iim*jjm,llm) |
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364 | REAL(rstd),INTENT(INOUT) :: geopot(iim*jjm,llm+1) |
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365 | REAL(rstd),INTENT(INOUT) :: du(iim*3*jjm,llm) |
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366 | REAL(rstd) :: berni(iim*jjm,llm) ! Bernoulli function |
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367 | REAL(rstd) :: berniv(iim*jjm,llm) ! moist Bernoulli function |
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368 | |
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369 | INTEGER :: i,j,ij,l |
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370 | REAL(rstd) :: Rd, qv, temp, chi, nu, due, due_right, due_lup, due_ldown |
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371 | |
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372 | CALL trace_start("compute_caldyn_fast") |
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373 | |
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374 | Rd=cpp*kappa |
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375 | |
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376 | IF(dysl_caldyn_fast) THEN |
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377 | #include "../kernels_hex/caldyn_fast.k90" |
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378 | ELSE |
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379 | |
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380 | ! Compute Bernoulli term |
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381 | IF(boussinesq) THEN |
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382 | DO l=ll_begin,ll_end |
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383 | !DIR$ SIMD |
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384 | DO ij=ij_begin,ij_end |
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385 | berni(ij,l) = pk(ij,l) |
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386 | ! from now on pk contains the vertically-averaged geopotential |
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387 | pk(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) |
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388 | END DO |
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389 | END DO |
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390 | ELSE ! compressible |
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391 | |
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392 | DO l=ll_begin,ll_end |
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393 | SELECT CASE(caldyn_thermo) |
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394 | CASE(thermo_theta) ! vdp = theta.dpi => B = Phi |
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395 | !DIR$ SIMD |
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396 | DO ij=ij_begin,ij_end |
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397 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) |
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398 | END DO |
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399 | CASE(thermo_entropy) ! vdp = dG + sdT => B = Phi + G, G=h-Ts=T*(cpp-s) |
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400 | !DIR$ SIMD |
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401 | DO ij=ij_begin,ij_end |
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402 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
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403 | + pk(ij,l)*(cpp-theta(ij,l,1)) ! pk=temperature, theta=entropy |
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404 | END DO |
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405 | CASE(thermo_moist) |
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406 | !DIR$ SIMD |
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407 | DO ij=ij_begin,ij_end |
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408 | ! du/dt = grad(Bd)+rv.grad(Bv)+s.grad(T) |
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409 | ! Bd = Phi + gibbs_d |
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410 | ! Bv = Phi + gibbs_v |
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411 | ! pk=temperature, theta=entropy |
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412 | qv = theta(ij,l,2) |
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413 | temp = pk(ij,l) |
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414 | chi = log(temp/Treff) |
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415 | nu = (chi*(cpp+qv*cppv)-theta(ij,l,1))/(Rd+qv*Rv) ! log(p/preff) |
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416 | berni(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
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417 | + temp*(cpp*(1.-chi)+Rd*nu) |
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418 | berniv(ij,l) = .5*(geopot(ij,l)+geopot(ij,l+1)) & |
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419 | + temp*(cppv*(1.-chi)+Rv*nu) |
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420 | END DO |
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421 | END SELECT |
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422 | END DO |
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423 | |
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424 | END IF ! Boussinesq/compressible |
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425 | |
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426 | !!! u:=u+tau*du, du = -grad(B)-theta.grad(pi) |
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427 | DO l=ll_begin,ll_end |
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428 | IF(caldyn_thermo == thermo_moist) THEN |
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429 | !DIR$ SIMD |
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430 | DO ij=ij_begin,ij_end |
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431 | due_right = berni(ij+t_right,l)-berni(ij,l) & |
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432 | + 0.5*(theta(ij,l,1)+theta(ij+t_right,l,1)) & |
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433 | *(pk(ij+t_right,l)-pk(ij,l)) & |
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434 | + 0.5*(theta(ij,l,2)+theta(ij+t_right,l,2)) & |
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435 | *(berniv(ij+t_right,l)-berniv(ij,l)) |
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436 | |
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437 | due_lup = berni(ij+t_lup,l)-berni(ij,l) & |
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438 | + 0.5*(theta(ij,l,1)+theta(ij+t_lup,l,1)) & |
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439 | *(pk(ij+t_lup,l)-pk(ij,l)) & |
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440 | + 0.5*(theta(ij,l,2)+theta(ij+t_lup,l,2)) & |
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441 | *(berniv(ij+t_lup,l)-berniv(ij,l)) |
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442 | |
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443 | due_ldown = berni(ij+t_ldown,l)-berni(ij,l) & |
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444 | + 0.5*(theta(ij,l,1)+theta(ij+t_ldown,l,1)) & |
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445 | *(pk(ij+t_ldown,l)-pk(ij,l)) & |
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446 | + 0.5*(theta(ij,l,2)+theta(ij+t_ldown,l,2)) & |
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447 | *(berniv(ij+t_ldown,l)-berniv(ij,l)) |
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448 | |
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449 | du(ij+u_right,l) = du(ij+u_right,l) - ne_right*due_right |
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450 | du(ij+u_lup,l) = du(ij+u_lup,l) - ne_lup*due_lup |
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451 | du(ij+u_ldown,l) = du(ij+u_ldown,l) - ne_ldown*due_ldown |
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452 | u(ij+u_right,l) = u(ij+u_right,l) + tau*du(ij+u_right,l) |
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453 | u(ij+u_lup,l) = u(ij+u_lup,l) + tau*du(ij+u_lup,l) |
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454 | u(ij+u_ldown,l) = u(ij+u_ldown,l) + tau*du(ij+u_ldown,l) |
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455 | END DO |
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456 | ELSE |
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457 | !DIR$ SIMD |
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458 | DO ij=ij_begin,ij_end |
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459 | due_right = 0.5*(theta(ij,l,1)+theta(ij+t_right,l,1)) & |
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460 | *(pk(ij+t_right,l)-pk(ij,l)) & |
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461 | + berni(ij+t_right,l)-berni(ij,l) |
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462 | due_lup = 0.5*(theta(ij,l,1)+theta(ij+t_lup,l,1)) & |
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463 | *(pk(ij+t_lup,l)-pk(ij,l)) & |
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464 | + berni(ij+t_lup,l)-berni(ij,l) |
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465 | due_ldown = 0.5*(theta(ij,l,1)+theta(ij+t_ldown,l,1)) & |
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466 | *(pk(ij+t_ldown,l)-pk(ij,l)) & |
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467 | + berni(ij+t_ldown,l)-berni(ij,l) |
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468 | du(ij+u_right,l) = du(ij+u_right,l) - ne_right*due_right |
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469 | du(ij+u_lup,l) = du(ij+u_lup,l) - ne_lup*due_lup |
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470 | du(ij+u_ldown,l) = du(ij+u_ldown,l) - ne_ldown*due_ldown |
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471 | u(ij+u_right,l) = u(ij+u_right,l) + tau*du(ij+u_right,l) |
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472 | u(ij+u_lup,l) = u(ij+u_lup,l) + tau*du(ij+u_lup,l) |
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473 | u(ij+u_ldown,l) = u(ij+u_ldown,l) + tau*du(ij+u_ldown,l) |
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474 | END DO |
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475 | END IF |
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476 | END DO |
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477 | |
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478 | END IF ! dysl |
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479 | CALL trace_end("compute_caldyn_fast") |
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480 | |
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481 | END SUBROUTINE compute_caldyn_fast |
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482 | |
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483 | SUBROUTINE compute_caldyn_Coriolis(hflux,theta,qu, convm,dtheta_rhodz,du) |
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484 | REAL(rstd),INTENT(IN) :: hflux(3*iim*jjm,llm) ! hflux in kg/s |
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485 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) ! active scalars |
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486 | REAL(rstd),INTENT(IN) :: qu(3*iim*jjm,llm) |
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487 | REAL(rstd),INTENT(OUT) :: convm(iim*jjm,llm) ! mass flux convergence |
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488 | REAL(rstd),INTENT(OUT) :: dtheta_rhodz(iim*jjm,llm,nqdyn) |
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489 | REAL(rstd),INTENT(INOUT) :: du(3*iim*jjm,llm) |
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490 | |
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491 | REAL(rstd) :: Ftheta(3*iim*jjm,llm) ! potential temperature flux |
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492 | REAL(rstd) :: uu_right, uu_lup, uu_ldown, du_trisk, divF |
---|
493 | INTEGER :: ij,iq,l,kdown |
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494 | |
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495 | CALL trace_start("compute_caldyn_Coriolis") |
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496 | |
---|
497 | IF(dysl_caldyn_coriolis) THEN |
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498 | |
---|
499 | #include "../kernels_hex/coriolis.k90" |
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500 | |
---|
501 | ELSE |
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502 | #define FTHETA(ij) Ftheta(ij,1) |
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503 | |
---|
504 | DO l=ll_begin, ll_end |
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505 | ! compute theta flux |
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506 | DO iq=1,nqdyn |
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507 | !DIR$ SIMD |
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508 | DO ij=ij_begin_ext,ij_end_ext |
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509 | FTHETA(ij+u_right) = 0.5*(theta(ij,l,iq)+theta(ij+t_right,l,iq)) & |
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510 | * hflux(ij+u_right,l) |
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511 | FTHETA(ij+u_lup) = 0.5*(theta(ij,l,iq)+theta(ij+t_lup,l,iq)) & |
---|
512 | * hflux(ij+u_lup,l) |
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513 | FTHETA(ij+u_ldown) = 0.5*(theta(ij,l,iq)+theta(ij+t_ldown,l,iq)) & |
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514 | * hflux(ij+u_ldown,l) |
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515 | END DO |
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516 | ! horizontal divergence of fluxes |
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517 | !DIR$ SIMD |
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518 | DO ij=ij_begin,ij_end |
---|
519 | ! dtheta_rhodz = -div(flux.theta) |
---|
520 | dtheta_rhodz(ij,l,iq)= & |
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521 | -1./Ai(ij)*(ne_right*FTHETA(ij+u_right) + & |
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522 | ne_rup*FTHETA(ij+u_rup) + & |
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523 | ne_lup*FTHETA(ij+u_lup) + & |
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524 | ne_left*FTHETA(ij+u_left) + & |
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525 | ne_ldown*FTHETA(ij+u_ldown) + & |
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526 | ne_rdown*FTHETA(ij+u_rdown) ) |
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527 | END DO |
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528 | END DO |
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529 | |
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530 | !DIR$ SIMD |
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531 | DO ij=ij_begin,ij_end |
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532 | ! convm = -div(mass flux), sign convention as in Ringler et al. 2012, eq. 21 |
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533 | convm(ij,l)= -1./Ai(ij)*(ne_right*hflux(ij+u_right,l) + & |
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534 | ne_rup*hflux(ij+u_rup,l) + & |
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535 | ne_lup*hflux(ij+u_lup,l) + & |
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536 | ne_left*hflux(ij+u_left,l) + & |
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537 | ne_ldown*hflux(ij+u_ldown,l) + & |
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538 | ne_rdown*hflux(ij+u_rdown,l)) |
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539 | END DO ! ij |
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540 | END DO ! llm |
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541 | |
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542 | !!! Compute potential vorticity (Coriolis) contribution to du |
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543 | SELECT CASE(caldyn_conserv) |
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544 | |
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545 | CASE(conserv_energy) ! energy-conserving TRiSK |
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546 | |
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547 | DO l=ll_begin,ll_end |
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548 | !DIR$ SIMD |
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549 | DO ij=ij_begin,ij_end |
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550 | uu_right = & |
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551 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l)*(qu(ij+u_right,l)+qu(ij+u_rup,l))+ & |
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552 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l)*(qu(ij+u_right,l)+qu(ij+u_lup,l))+ & |
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553 | wee(ij+u_right,3,1)*hflux(ij+u_left,l)*(qu(ij+u_right,l)+qu(ij+u_left,l))+ & |
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554 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)*(qu(ij+u_right,l)+qu(ij+u_ldown,l))+ & |
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555 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)*(qu(ij+u_right,l)+qu(ij+u_rdown,l))+ & |
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556 | 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))+ & |
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557 | 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))+ & |
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558 | 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))+ & |
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559 | 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))+ & |
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560 | 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)) |
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561 | uu_lup = & |
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562 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)*(qu(ij+u_lup,l)+qu(ij+u_left,l)) + & |
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563 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)*(qu(ij+u_lup,l)+qu(ij+u_ldown,l)) + & |
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564 | wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)*(qu(ij+u_lup,l)+qu(ij+u_rdown,l)) + & |
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565 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)*(qu(ij+u_lup,l)+qu(ij+u_right,l)) + & |
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566 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)*(qu(ij+u_lup,l)+qu(ij+u_rup,l)) + & |
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567 | 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)) + & |
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568 | 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)) + & |
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569 | 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)) + & |
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570 | 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)) + & |
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571 | 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)) |
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572 | uu_ldown = & |
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573 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)*(qu(ij+u_ldown,l)+qu(ij+u_rdown,l)) + & |
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574 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)*(qu(ij+u_ldown,l)+qu(ij+u_right,l)) + & |
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575 | wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)*(qu(ij+u_ldown,l)+qu(ij+u_rup,l)) + & |
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576 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)*(qu(ij+u_ldown,l)+qu(ij+u_lup,l)) + & |
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577 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)*(qu(ij+u_ldown,l)+qu(ij+u_left,l)) + & |
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578 | 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)) + & |
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579 | 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)) + & |
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580 | 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)) + & |
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581 | 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)) + & |
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582 | 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)) |
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583 | du(ij+u_right,l) = du(ij+u_right,l) + .5*uu_right |
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584 | du(ij+u_lup,l) = du(ij+u_lup,l) + .5*uu_lup |
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585 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + .5*uu_ldown |
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586 | ENDDO |
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587 | ENDDO |
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588 | |
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589 | CASE(conserv_gassmann) ! energy-conserving TRiSK modified by Gassmann (2018) |
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590 | |
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591 | DO l=ll_begin,ll_end |
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592 | !DIR$ SIMD |
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593 | DO ij=ij_begin,ij_end |
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594 | uu_right = & |
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595 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l) *qu(ij+t_right+u_lup,l)+ & |
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596 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l) *qu(ij+u_rup,l)+ & |
---|
597 | .5*wee(ij+u_right,3,1)*hflux(ij+u_left,l)*(qu(ij+u_right,l)+qu(ij+u_left,l))+ & |
---|
598 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)*qu(ij+u_rdown,l)+ & |
---|
599 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)*qu(ij+t_right+u_ldown,l)+ & |
---|
600 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)*qu(ij+u_rdown,l)+ & |
---|
601 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)*qu(ij+t_right+u_ldown,l)+ & |
---|
602 | .5*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))+ & |
---|
603 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)*qu(ij+t_right+u_lup,l)+ & |
---|
604 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l)*qu(ij+u_rup,l) |
---|
605 | uu_lup = & |
---|
606 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)*qu(ij+t_lup+u_ldown,l) + & |
---|
607 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)*qu(ij+u_left,l) + & |
---|
608 | .5*wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)*(qu(ij+u_lup,l)+qu(ij+u_rdown,l)) + & |
---|
609 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)*qu(ij+u_rup,l) + & |
---|
610 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)*qu(ij+t_lup+u_right,l)+ & |
---|
611 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)*qu(ij+u_rup,l) + & |
---|
612 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)*qu(ij+t_lup+u_right,l) + & |
---|
613 | .5*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)) + & |
---|
614 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)*qu(ij+t_lup+u_ldown,l) + & |
---|
615 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l)*qu(ij+u_left,l) |
---|
616 | uu_ldown = & |
---|
617 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)*qu(ij+t_ldown,l+u_right) + & |
---|
618 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)*qu(ij+u_rdown,l) + & |
---|
619 | .5*wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)*(qu(ij+u_ldown,l)+qu(ij+u_rup,l)) + & |
---|
620 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)*qu(ij+u_left,l) + & |
---|
621 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)*qu(ij+t_ldown+u_lup,l) + & |
---|
622 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)*qu(ij+u_left,l) + & |
---|
623 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)*qu(ij+t_ldown+u_lup,l) + & |
---|
624 | .5*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)) + & |
---|
625 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)*qu(ij+t_ldown+u_right,l) + & |
---|
626 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l)*qu(ij+u_rdown,l) |
---|
627 | du(ij+u_right,l) = du(ij+u_right,l) + uu_right |
---|
628 | du(ij+u_lup,l) = du(ij+u_lup,l) + uu_lup |
---|
629 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + uu_ldown |
---|
630 | ENDDO |
---|
631 | ENDDO |
---|
632 | |
---|
633 | CASE(conserv_enstrophy) ! enstrophy-conserving TRiSK |
---|
634 | |
---|
635 | DO l=ll_begin,ll_end |
---|
636 | !DIR$ SIMD |
---|
637 | DO ij=ij_begin,ij_end |
---|
638 | uu_right = & |
---|
639 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l)+ & |
---|
640 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l)+ & |
---|
641 | wee(ij+u_right,3,1)*hflux(ij+u_left,l)+ & |
---|
642 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)+ & |
---|
643 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)+ & |
---|
644 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)+ & |
---|
645 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)+ & |
---|
646 | wee(ij+u_right,3,2)*hflux(ij+t_right+u_right,l)+ & |
---|
647 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)+ & |
---|
648 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l) |
---|
649 | uu_lup = & |
---|
650 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)+ & |
---|
651 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)+ & |
---|
652 | wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)+ & |
---|
653 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)+ & |
---|
654 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)+ & |
---|
655 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)+ & |
---|
656 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)+ & |
---|
657 | wee(ij+u_lup,3,2)*hflux(ij+t_lup+u_lup,l)+ & |
---|
658 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)+ & |
---|
659 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l) |
---|
660 | uu_ldown = & |
---|
661 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)+ & |
---|
662 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)+ & |
---|
663 | wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)+ & |
---|
664 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)+ & |
---|
665 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)+ & |
---|
666 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)+ & |
---|
667 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)+ & |
---|
668 | wee(ij+u_ldown,3,2)*hflux(ij+t_ldown+u_ldown,l)+ & |
---|
669 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)+ & |
---|
670 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l) |
---|
671 | |
---|
672 | du(ij+u_right,l) = du(ij+u_right,l) + uu_right*qu(ij+u_right,l) |
---|
673 | du(ij+u_lup,l) = du(ij+u_lup,l) + uu_lup*qu(ij+u_lup,l) |
---|
674 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + uu_ldown*qu(ij+u_ldown,l) |
---|
675 | END DO |
---|
676 | END DO |
---|
677 | CASE DEFAULT |
---|
678 | STOP |
---|
679 | END SELECT |
---|
680 | #undef FTHETA |
---|
681 | |
---|
682 | END IF ! dysl |
---|
683 | |
---|
684 | CALL trace_end("compute_caldyn_Coriolis") |
---|
685 | |
---|
686 | END SUBROUTINE compute_caldyn_Coriolis |
---|
687 | |
---|
688 | SUBROUTINE compute_caldyn_slow_hydro(u,rhodz,hv, hflux,Kv,du, zero) |
---|
689 | LOGICAL, INTENT(IN) :: zero |
---|
690 | REAL(rstd),INTENT(IN) :: u(3*iim*jjm,llm) ! prognostic "velocity" |
---|
691 | REAL(rstd),INTENT(IN) :: Kv(2*iim*jjm,llm) ! kinetic energy at vertices |
---|
692 | REAL(rstd),INTENT(IN) :: hv(2*iim*jjm,llm) ! height/mass averaged to vertices |
---|
693 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) |
---|
694 | REAL(rstd),INTENT(OUT) :: hflux(3*iim*jjm,llm) ! hflux in kg/s |
---|
695 | REAL(rstd),INTENT(INOUT) :: du(3*iim*jjm,llm) |
---|
696 | |
---|
697 | REAL(rstd) :: berni(iim*jjm,llm) ! Bernoulli function |
---|
698 | REAL(rstd) :: berni1(iim*jjm) ! Bernoulli function |
---|
699 | REAL(rstd) :: uu_right, uu_lup, uu_ldown, ke, uu |
---|
700 | INTEGER :: ij,l |
---|
701 | |
---|
702 | CALL trace_start("compute_caldyn_slow_hydro") |
---|
703 | |
---|
704 | IF(dysl_slow_hydro) THEN |
---|
705 | |
---|
706 | #define BERNI(ij,l) berni(ij,l) |
---|
707 | #include "../kernels_hex/caldyn_slow_hydro.k90" |
---|
708 | #undef BERNI |
---|
709 | |
---|
710 | ELSE |
---|
711 | |
---|
712 | #define BERNI(ij) berni1(ij) |
---|
713 | |
---|
714 | DO l = ll_begin, ll_end |
---|
715 | ! Compute mass fluxes |
---|
716 | IF (caldyn_conserv==conserv_energy) CALL test_message(req_qu) |
---|
717 | |
---|
718 | IF(caldyn_kinetic==kinetic_trisk) THEN |
---|
719 | !DIR$ SIMD |
---|
720 | DO ij=ij_begin_ext,ij_end_ext |
---|
721 | uu_right=0.5*(rhodz(ij,l)+rhodz(ij+t_right,l))*u(ij+u_right,l) |
---|
722 | uu_lup=0.5*(rhodz(ij,l)+rhodz(ij+t_lup,l))*u(ij+u_lup,l) |
---|
723 | uu_ldown=0.5*(rhodz(ij,l)+rhodz(ij+t_ldown,l))*u(ij+u_ldown,l) |
---|
724 | uu_right= uu_right*le_de(ij+u_right) |
---|
725 | uu_lup = uu_lup *le_de(ij+u_lup) |
---|
726 | uu_ldown= uu_ldown*le_de(ij+u_ldown) |
---|
727 | hflux(ij+u_right,l)=uu_right |
---|
728 | hflux(ij+u_lup,l) =uu_lup |
---|
729 | hflux(ij+u_ldown,l)=uu_ldown |
---|
730 | ENDDO |
---|
731 | ELSE ! mass flux deriving from consistent kinetic energy |
---|
732 | !DIR$ SIMD |
---|
733 | DO ij=ij_begin_ext,ij_end_ext |
---|
734 | uu_right=0.5*(hv(ij+z_rup,l)+hv(ij+z_rdown,l))*u(ij+u_right,l) |
---|
735 | uu_lup=0.5*(hv(ij+z_up,l)+hv(ij+z_lup,l))*u(ij+u_lup,l) |
---|
736 | uu_ldown=0.5*(hv(ij+z_ldown,l)+hv(ij+z_down,l))*u(ij+u_ldown,l) |
---|
737 | uu_right= uu_right*le_de(ij+u_right) |
---|
738 | uu_lup = uu_lup *le_de(ij+u_lup) |
---|
739 | uu_ldown= uu_ldown*le_de(ij+u_ldown) |
---|
740 | hflux(ij+u_right,l)=uu_right |
---|
741 | hflux(ij+u_lup,l) =uu_lup |
---|
742 | hflux(ij+u_ldown,l)=uu_ldown |
---|
743 | ENDDO |
---|
744 | END IF |
---|
745 | |
---|
746 | ! Compute Bernoulli=kinetic energy |
---|
747 | IF(caldyn_kinetic==kinetic_trisk) THEN |
---|
748 | !DIR$ SIMD |
---|
749 | DO ij=ij_begin,ij_end |
---|
750 | BERNI(ij) = & |
---|
751 | 1/(4*Ai(ij))*(le_de(ij+u_right)*u(ij+u_right,l)**2 + & |
---|
752 | le_de(ij+u_rup)*u(ij+u_rup,l)**2 + & |
---|
753 | le_de(ij+u_lup)*u(ij+u_lup,l)**2 + & |
---|
754 | le_de(ij+u_left)*u(ij+u_left,l)**2 + & |
---|
755 | le_de(ij+u_ldown)*u(ij+u_ldown,l)**2 + & |
---|
756 | le_de(ij+u_rdown)*u(ij+u_rdown,l)**2 ) |
---|
757 | ENDDO |
---|
758 | ELSE |
---|
759 | !DIR$ SIMD |
---|
760 | DO ij=ij_begin,ij_end |
---|
761 | BERNI(ij) = Riv(ij,vup) *Kv(ij+z_up,l) + & |
---|
762 | Riv(ij,vlup) *Kv(ij+z_lup,l) + & |
---|
763 | Riv(ij,vldown)*Kv(ij+z_ldown,l) + & |
---|
764 | Riv(ij,vdown) *Kv(ij+z_down,l) + & |
---|
765 | Riv(ij,vrdown)*Kv(ij+z_rdown,l) + & |
---|
766 | Riv(ij,vrup) *Kv(ij+z_rup,l) |
---|
767 | END DO |
---|
768 | END IF |
---|
769 | ! Compute du=-grad(Bernoulli) |
---|
770 | IF(zero) THEN |
---|
771 | !DIR$ SIMD |
---|
772 | DO ij=ij_begin,ij_end |
---|
773 | du(ij+u_right,l) = ne_right*(BERNI(ij)-BERNI(ij+t_right)) |
---|
774 | du(ij+u_lup,l) = ne_lup*(BERNI(ij)-BERNI(ij+t_lup)) |
---|
775 | du(ij+u_ldown,l) = ne_ldown*(BERNI(ij)-BERNI(ij+t_ldown)) |
---|
776 | END DO |
---|
777 | ELSE |
---|
778 | !DIR$ SIMD |
---|
779 | DO ij=ij_begin,ij_end |
---|
780 | du(ij+u_right,l) = du(ij+u_right,l) + & |
---|
781 | ne_right*(BERNI(ij)-BERNI(ij+t_right)) |
---|
782 | du(ij+u_lup,l) = du(ij+u_lup,l) + & |
---|
783 | ne_lup*(BERNI(ij)-BERNI(ij+t_lup)) |
---|
784 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + & |
---|
785 | ne_ldown*(BERNI(ij)-BERNI(ij+t_ldown)) |
---|
786 | END DO |
---|
787 | END IF |
---|
788 | END DO |
---|
789 | |
---|
790 | #undef BERNI |
---|
791 | |
---|
792 | END IF ! dysl |
---|
793 | CALL trace_end("compute_caldyn_slow_hydro") |
---|
794 | END SUBROUTINE compute_caldyn_slow_hydro |
---|
795 | |
---|
796 | SUBROUTINE compute_caldyn_slow_NH(u,rhodz,Phi,W, F_el,gradPhi2,w_il, hflux,du,dPhi,dW) |
---|
797 | REAL(rstd),INTENT(IN) :: u(3*iim*jjm,llm) ! prognostic "velocity" |
---|
798 | REAL(rstd),INTENT(IN) :: rhodz(iim*jjm,llm) ! rho*dz |
---|
799 | REAL(rstd),INTENT(IN) :: Phi(iim*jjm,llm+1) ! prognostic geopotential |
---|
800 | REAL(rstd),INTENT(IN) :: W(iim*jjm,llm+1) ! prognostic vertical momentum |
---|
801 | |
---|
802 | REAL(rstd),INTENT(OUT) :: hflux(3*iim*jjm,llm) ! hflux in kg/s |
---|
803 | REAL(rstd),INTENT(OUT) :: du(3*iim*jjm,llm) |
---|
804 | REAL(rstd),INTENT(OUT) :: dW(iim*jjm,llm+1) |
---|
805 | REAL(rstd),INTENT(OUT) :: dPhi(iim*jjm,llm+1) |
---|
806 | |
---|
807 | REAL(rstd) :: w_il(iim*jjm,llm+1) ! Wil/mil |
---|
808 | REAL(rstd) :: F_el(3*iim*jjm,llm+1) ! NH mass flux |
---|
809 | REAL(rstd) :: gradPhi2(iim*jjm,llm+1) ! grad_Phi**2 |
---|
810 | REAL(rstd) :: DePhil(3*iim*jjm,llm+1) ! grad(Phi) |
---|
811 | |
---|
812 | INTEGER :: ij,l,kdown,kup |
---|
813 | REAL(rstd) :: W_el, W2_el, uu_right, uu_lup, uu_ldown, gPhi2, dP, divG, u2, uu |
---|
814 | |
---|
815 | REAL(rstd) :: berni(iim*jjm,llm) ! Bernoulli function |
---|
816 | REAL(rstd) :: G_el(3*iim*jjm,llm+1) ! horizontal flux of W |
---|
817 | REAL(rstd) :: v_el(3*iim*jjm,llm+1) |
---|
818 | |
---|
819 | REAL(rstd) :: berni1(iim*jjm) ! Bernoulli function |
---|
820 | REAL(rstd) :: G_el1(3*iim*jjm) ! horizontal flux of W |
---|
821 | REAL(rstd) :: v_el1(3*iim*jjm) |
---|
822 | |
---|
823 | CALL trace_start("compute_caldyn_slow_NH") |
---|
824 | |
---|
825 | IF(dysl) THEN |
---|
826 | |
---|
827 | !$OMP BARRIER |
---|
828 | #include "../kernels_hex/caldyn_slow_NH.k90" |
---|
829 | !$OMP BARRIER |
---|
830 | |
---|
831 | ELSE |
---|
832 | |
---|
833 | #define BERNI(ij) berni1(ij) |
---|
834 | #define G_EL(ij) G_el1(ij) |
---|
835 | #define V_EL(ij) v_el1(ij) |
---|
836 | |
---|
837 | DO l=ll_begin, ll_endp1 ! compute on l levels (interfaces) |
---|
838 | IF(l==1) THEN |
---|
839 | kdown=1 |
---|
840 | ELSE |
---|
841 | kdown=l-1 |
---|
842 | END IF |
---|
843 | IF(l==llm+1) THEN |
---|
844 | kup=llm |
---|
845 | ELSE |
---|
846 | kup=l |
---|
847 | END IF |
---|
848 | ! below : "checked" means "formula also valid when kup=kdown (top/bottom)" |
---|
849 | ! compute mil, wil=Wil/mil |
---|
850 | DO ij=ij_begin_ext, ij_end_ext |
---|
851 | w_il(ij,l) = 2.*W(ij,l)/(rhodz(ij,kdown)+rhodz(ij,kup)) ! checked |
---|
852 | END DO |
---|
853 | ! compute DePhi, v_el, G_el, F_el |
---|
854 | ! v_el, W2_el and therefore G_el incorporate metric factor le_de |
---|
855 | ! while DePhil, W_el and F_el don't |
---|
856 | DO ij=ij_begin_ext, ij_end_ext |
---|
857 | ! Compute on edge 'right' |
---|
858 | W_el = .5*( W(ij,l)+W(ij+t_right,l) ) |
---|
859 | DePhil(ij+u_right,l) = ne_right*(Phi(ij+t_right,l)-Phi(ij,l)) |
---|
860 | F_el(ij+u_right,l) = DePhil(ij+u_right,l)*W_el |
---|
861 | W2_el = .5*le_de(ij+u_right) * & |
---|
862 | ( W(ij,l)*w_il(ij,l) + W(ij+t_right,l)*w_il(ij+t_right,l) ) |
---|
863 | V_EL(ij+u_right) = .5*le_de(ij+u_right)*(u(ij+u_right,kup)+u(ij+u_right,kdown)) ! checked |
---|
864 | G_EL(ij+u_right) = V_EL(ij+u_right)*W_el - DePhil(ij+u_right,l)*W2_el |
---|
865 | ! Compute on edge 'lup' |
---|
866 | W_el = .5*( W(ij,l)+W(ij+t_lup,l) ) |
---|
867 | DePhil(ij+u_lup,l) = ne_lup*(Phi(ij+t_lup,l)-Phi(ij,l)) |
---|
868 | F_el(ij+u_lup,l) = DePhil(ij+u_lup,l)*W_el |
---|
869 | W2_el = .5*le_de(ij+u_lup) * & |
---|
870 | ( W(ij,l)*w_il(ij,l) + W(ij+t_lup,l)*w_il(ij+t_lup,l) ) |
---|
871 | V_EL(ij+u_lup) = .5*le_de(ij+u_lup)*( u(ij+u_lup,kup) + u(ij+u_lup,kdown)) ! checked |
---|
872 | G_EL(ij+u_lup) = V_EL(ij+u_lup)*W_el - DePhil(ij+u_lup,l)*W2_el |
---|
873 | ! Compute on edge 'ldown' |
---|
874 | W_el = .5*( W(ij,l)+W(ij+t_ldown,l) ) |
---|
875 | DePhil(ij+u_ldown,l) = ne_ldown*(Phi(ij+t_ldown,l)-Phi(ij,l)) |
---|
876 | F_el(ij+u_ldown,l) = DePhil(ij+u_ldown,l)*W_el |
---|
877 | W2_el = .5*le_de(ij+u_ldown) * & |
---|
878 | ( W(ij,l)*w_il(ij,l) + W(ij+t_ldown,l)*w_il(ij+t_ldown,l) ) |
---|
879 | V_EL(ij+u_ldown) = .5*le_de(ij+u_ldown)*( u(ij+u_ldown,kup) + u(ij+u_ldown,kdown)) ! checked |
---|
880 | G_EL(ij+u_ldown) = V_EL(ij+u_ldown)*W_el - DePhil(ij+u_ldown,l)*W2_el |
---|
881 | END DO |
---|
882 | ! compute GradPhi2, dPhi, dW |
---|
883 | DO ij=ij_begin_ext, ij_end_ext |
---|
884 | gradPhi2(ij,l) = & |
---|
885 | 1/(2*Ai(ij))*(le_de(ij+u_right)*DePhil(ij+u_right,l)**2 + & |
---|
886 | le_de(ij+u_rup)*DePhil(ij+u_rup,l)**2 + & |
---|
887 | le_de(ij+u_lup)*DePhil(ij+u_lup,l)**2 + & |
---|
888 | le_de(ij+u_left)*DePhil(ij+u_left,l)**2 + & |
---|
889 | le_de(ij+u_ldown)*DePhil(ij+u_ldown,l)**2 + & |
---|
890 | le_de(ij+u_rdown)*DePhil(ij+u_rdown,l)**2 ) |
---|
891 | |
---|
892 | dPhi(ij,l) = gradPhi2(ij,l)*w_il(ij,l) -1/(2*Ai(ij))* & |
---|
893 | ( DePhil(ij+u_right,l)*V_EL(ij+u_right) + & ! -v.gradPhi, |
---|
894 | DePhil(ij+u_rup,l)*V_EL(ij+u_rup) + & ! v_el already has le_de |
---|
895 | DePhil(ij+u_lup,l)*V_EL(ij+u_lup) + & |
---|
896 | DePhil(ij+u_left,l)*V_EL(ij+u_left) + & |
---|
897 | DePhil(ij+u_ldown,l)*V_EL(ij+u_ldown) + & |
---|
898 | DePhil(ij+u_rdown,l)*V_EL(ij+u_rdown) ) |
---|
899 | |
---|
900 | dW(ij,l) = -1./Ai(ij)*( & ! -div(G_el), |
---|
901 | ne_right*G_EL(ij+u_right) + & ! G_el already has le_de |
---|
902 | ne_rup*G_EL(ij+u_rup) + & |
---|
903 | ne_lup*G_EL(ij+u_lup) + & |
---|
904 | ne_left*G_EL(ij+u_left) + & |
---|
905 | ne_ldown*G_EL(ij+u_ldown) + & |
---|
906 | ne_rdown*G_EL(ij+u_rdown)) |
---|
907 | END DO |
---|
908 | END DO |
---|
909 | |
---|
910 | DO l=ll_begin, ll_end ! compute on k levels (layers) |
---|
911 | ! Compute berni at scalar points |
---|
912 | DO ij=ij_begin_ext, ij_end_ext |
---|
913 | BERNI(ij) = & |
---|
914 | 1/(4*Ai(ij))*( & |
---|
915 | le_de(ij+u_right)*u(ij+u_right,l)**2 + & |
---|
916 | le_de(ij+u_rup)*u(ij+u_rup,l)**2 + & |
---|
917 | le_de(ij+u_lup)*u(ij+u_lup,l)**2 + & |
---|
918 | le_de(ij+u_left)*u(ij+u_left,l)**2 + & |
---|
919 | le_de(ij+u_ldown)*u(ij+u_ldown,l)**2 + & |
---|
920 | le_de(ij+u_rdown)*u(ij+u_rdown,l)**2 ) & |
---|
921 | - .25*( gradPhi2(ij,l) *w_il(ij,l)**2 + & |
---|
922 | gradPhi2(ij,l+1)*w_il(ij,l+1)**2 ) |
---|
923 | END DO |
---|
924 | ! Compute mass flux and grad(berni) at edges |
---|
925 | DO ij=ij_begin_ext, ij_end_ext |
---|
926 | ! Compute on edge 'right' |
---|
927 | uu_right = 0.5*(rhodz(ij,l)+rhodz(ij+t_right,l))*u(ij+u_right,l) & |
---|
928 | -0.5*(F_el(ij+u_right,l)+F_el(ij+u_right,l+1)) |
---|
929 | hflux(ij+u_right,l) = uu_right*le_de(ij+u_right) |
---|
930 | du(ij+u_right,l) = ne_right*(BERNI(ij)-BERNI(ij+t_right)) |
---|
931 | ! Compute on edge 'lup' |
---|
932 | uu_lup = 0.5*(rhodz(ij,l)+rhodz(ij+t_lup,l))*u(ij+u_lup,l) & |
---|
933 | -0.5*(F_el(ij+u_lup,l)+F_el(ij+u_lup,l+1)) |
---|
934 | hflux(ij+u_lup,l) = uu_lup*le_de(ij+u_lup) |
---|
935 | du(ij+u_lup,l) = ne_lup*(BERNI(ij)-BERNI(ij+t_lup)) |
---|
936 | ! Compute on edge 'ldown' |
---|
937 | uu_ldown = 0.5*(rhodz(ij,l)+rhodz(ij+t_ldown,l))*u(ij+u_ldown,l) & |
---|
938 | -0.5*(F_el(ij+u_ldown,l)+F_el(ij+u_ldown,l+1)) |
---|
939 | hflux(ij+u_ldown,l) = uu_ldown*le_de(ij+u_ldown) |
---|
940 | du(ij+u_ldown,l) = ne_ldown*(BERNI(ij)-BERNI(ij+t_ldown)) |
---|
941 | END DO |
---|
942 | END DO |
---|
943 | |
---|
944 | #undef V_EL |
---|
945 | #undef G_EL |
---|
946 | #undef BERNI |
---|
947 | |
---|
948 | END IF ! dysl |
---|
949 | |
---|
950 | CALL trace_end("compute_caldyn_slow_NH") |
---|
951 | |
---|
952 | END SUBROUTINE compute_caldyn_slow_NH |
---|
953 | |
---|
954 | END MODULE caldyn_kernels_hevi_mod |
---|