1 | MODULE compute_caldyn_Coriolis_mod |
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2 | USE grid_param, ONLY : llm |
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3 | IMPLICIT NONE |
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4 | PRIVATE |
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5 | |
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6 | PUBLIC :: compute_caldyn_Coriolis |
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7 | |
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8 | CONTAINS |
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9 | |
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10 | SUBROUTINE compute_caldyn_Coriolis(hflux,theta,qu, convm,dtheta_rhodz,du) |
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11 | USE icosa |
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12 | USE trace |
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13 | USE caldyn_vars_mod |
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14 | USE omp_para, ONLY : ll_begin, ll_end |
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15 | REAL(rstd),INTENT(IN) :: hflux(3*iim*jjm,llm) ! hflux in kg/s |
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16 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) ! active scalars |
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17 | REAL(rstd),INTENT(IN) :: qu(3*iim*jjm,llm) |
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18 | REAL(rstd),INTENT(OUT) :: convm(iim*jjm,llm) ! mass flux convergence |
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19 | REAL(rstd),INTENT(OUT) :: dtheta_rhodz(iim*jjm,llm,nqdyn) |
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20 | REAL(rstd),INTENT(INOUT) :: du(3*iim*jjm,llm) |
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21 | |
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22 | REAL(rstd) :: Ftheta(3*iim*jjm,llm) ! potential temperature flux |
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23 | REAL(rstd) :: uu_right, uu_lup, uu_ldown, du_trisk, divF |
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24 | INTEGER :: ij,iq,l,kdown |
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25 | |
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26 | CALL trace_start("compute_caldyn_Coriolis") |
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27 | |
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28 | IF(dysl_caldyn_coriolis) THEN |
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29 | |
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30 | #include "../kernels_hex/coriolis.k90" |
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31 | |
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32 | ELSE |
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33 | #define FTHETA(ij) Ftheta(ij,1) |
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34 | |
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35 | DO l=ll_begin, ll_end |
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36 | ! compute theta flux |
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37 | DO iq=1,nqdyn |
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38 | !DIR$ SIMD |
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39 | DO ij=ij_begin_ext,ij_end_ext |
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40 | FTHETA(ij+u_right) = 0.5*(theta(ij,l,iq)+theta(ij+t_right,l,iq)) & |
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41 | * hflux(ij+u_right,l) |
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42 | FTHETA(ij+u_lup) = 0.5*(theta(ij,l,iq)+theta(ij+t_lup,l,iq)) & |
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43 | * hflux(ij+u_lup,l) |
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44 | FTHETA(ij+u_ldown) = 0.5*(theta(ij,l,iq)+theta(ij+t_ldown,l,iq)) & |
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45 | * hflux(ij+u_ldown,l) |
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46 | END DO |
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47 | ! horizontal divergence of fluxes |
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48 | !DIR$ SIMD |
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49 | DO ij=ij_begin,ij_end |
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50 | ! dtheta_rhodz = -div(flux.theta) |
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51 | dtheta_rhodz(ij,l,iq)= & |
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52 | -1./Ai(ij)*(ne_right*FTHETA(ij+u_right) + & |
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53 | ne_rup*FTHETA(ij+u_rup) + & |
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54 | ne_lup*FTHETA(ij+u_lup) + & |
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55 | ne_left*FTHETA(ij+u_left) + & |
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56 | ne_ldown*FTHETA(ij+u_ldown) + & |
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57 | ne_rdown*FTHETA(ij+u_rdown) ) |
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58 | END DO |
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59 | END DO |
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60 | |
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61 | !DIR$ SIMD |
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62 | DO ij=ij_begin,ij_end |
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63 | ! convm = -div(mass flux), sign convention as in Ringler et al. 2012, eq. 21 |
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64 | convm(ij,l)= -1./Ai(ij)*(ne_right*hflux(ij+u_right,l) + & |
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65 | ne_rup*hflux(ij+u_rup,l) + & |
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66 | ne_lup*hflux(ij+u_lup,l) + & |
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67 | ne_left*hflux(ij+u_left,l) + & |
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68 | ne_ldown*hflux(ij+u_ldown,l) + & |
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69 | ne_rdown*hflux(ij+u_rdown,l)) |
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70 | END DO ! ij |
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71 | END DO ! llm |
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72 | |
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73 | !!! Compute potential vorticity (Coriolis) contribution to du |
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74 | SELECT CASE(caldyn_conserv) |
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75 | |
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76 | CASE(conserv_energy) ! energy-conserving TRiSK |
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77 | |
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78 | DO l=ll_begin,ll_end |
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79 | !DIR$ SIMD |
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80 | DO ij=ij_begin,ij_end |
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81 | uu_right = & |
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82 | 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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83 | 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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84 | 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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85 | 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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86 | 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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87 | 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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88 | 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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89 | 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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90 | 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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91 | 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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92 | uu_lup = & |
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93 | 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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94 | 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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95 | 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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96 | 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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97 | 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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98 | 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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99 | 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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100 | 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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101 | 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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102 | 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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103 | uu_ldown = & |
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104 | 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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105 | 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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106 | 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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107 | 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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108 | 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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109 | 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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110 | 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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111 | 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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112 | 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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113 | 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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114 | du(ij+u_right,l) = du(ij+u_right,l) + .5*uu_right |
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115 | du(ij+u_lup,l) = du(ij+u_lup,l) + .5*uu_lup |
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116 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + .5*uu_ldown |
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117 | ENDDO |
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118 | ENDDO |
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119 | |
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120 | CASE(conserv_gassmann) ! energy-conserving TRiSK modified by Gassmann (2018) |
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121 | |
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122 | DO l=ll_begin,ll_end |
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123 | !DIR$ SIMD |
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124 | DO ij=ij_begin,ij_end |
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125 | uu_right = & |
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126 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l) *qu(ij+t_right+u_lup,l)+ & |
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127 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l) *qu(ij+u_rup,l)+ & |
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128 | .5*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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129 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)*qu(ij+u_rdown,l)+ & |
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130 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)*qu(ij+t_right+u_ldown,l)+ & |
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131 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)*qu(ij+u_rdown,l)+ & |
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132 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)*qu(ij+t_right+u_ldown,l)+ & |
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133 | .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))+ & |
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134 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)*qu(ij+t_right+u_lup,l)+ & |
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135 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l)*qu(ij+u_rup,l) |
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136 | uu_lup = & |
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137 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)*qu(ij+t_lup+u_ldown,l) + & |
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138 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)*qu(ij+u_left,l) + & |
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139 | .5*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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140 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)*qu(ij+u_rup,l) + & |
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141 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)*qu(ij+t_lup+u_right,l)+ & |
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142 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)*qu(ij+u_rup,l) + & |
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143 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)*qu(ij+t_lup+u_right,l) + & |
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144 | .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)) + & |
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145 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)*qu(ij+t_lup+u_ldown,l) + & |
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146 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l)*qu(ij+u_left,l) |
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147 | uu_ldown = & |
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148 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)*qu(ij+t_ldown,l+u_right) + & |
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149 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)*qu(ij+u_rdown,l) + & |
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150 | .5*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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151 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)*qu(ij+u_left,l) + & |
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152 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)*qu(ij+t_ldown+u_lup,l) + & |
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153 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)*qu(ij+u_left,l) + & |
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154 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)*qu(ij+t_ldown+u_lup,l) + & |
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155 | .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)) + & |
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156 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)*qu(ij+t_ldown+u_right,l) + & |
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157 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l)*qu(ij+u_rdown,l) |
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158 | du(ij+u_right,l) = du(ij+u_right,l) + uu_right |
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159 | du(ij+u_lup,l) = du(ij+u_lup,l) + uu_lup |
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160 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + uu_ldown |
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161 | ENDDO |
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162 | ENDDO |
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163 | |
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164 | CASE(conserv_enstrophy) ! enstrophy-conserving TRiSK |
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165 | |
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166 | DO l=ll_begin,ll_end |
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167 | !DIR$ SIMD |
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168 | DO ij=ij_begin,ij_end |
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169 | uu_right = & |
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170 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l)+ & |
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171 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l)+ & |
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172 | wee(ij+u_right,3,1)*hflux(ij+u_left,l)+ & |
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173 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)+ & |
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174 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)+ & |
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175 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)+ & |
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176 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)+ & |
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177 | wee(ij+u_right,3,2)*hflux(ij+t_right+u_right,l)+ & |
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178 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)+ & |
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179 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l) |
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180 | uu_lup = & |
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181 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)+ & |
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182 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)+ & |
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183 | wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)+ & |
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184 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)+ & |
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185 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)+ & |
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186 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)+ & |
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187 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)+ & |
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188 | wee(ij+u_lup,3,2)*hflux(ij+t_lup+u_lup,l)+ & |
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189 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)+ & |
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190 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l) |
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191 | uu_ldown = & |
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192 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)+ & |
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193 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)+ & |
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194 | wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)+ & |
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195 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)+ & |
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196 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)+ & |
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197 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)+ & |
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198 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)+ & |
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199 | wee(ij+u_ldown,3,2)*hflux(ij+t_ldown+u_ldown,l)+ & |
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200 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)+ & |
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201 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l) |
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202 | |
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203 | du(ij+u_right,l) = du(ij+u_right,l) + uu_right*qu(ij+u_right,l) |
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204 | du(ij+u_lup,l) = du(ij+u_lup,l) + uu_lup*qu(ij+u_lup,l) |
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205 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + uu_ldown*qu(ij+u_ldown,l) |
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206 | END DO |
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207 | END DO |
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208 | CASE DEFAULT |
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209 | STOP |
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210 | END SELECT |
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211 | #undef FTHETA |
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212 | |
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213 | END IF ! dysl |
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214 | |
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215 | CALL trace_end("compute_caldyn_Coriolis") |
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216 | |
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217 | END SUBROUTINE compute_caldyn_Coriolis |
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218 | |
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219 | END MODULE compute_caldyn_Coriolis_mod |
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