1 | MODULE advect_mod |
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2 | USE icosa |
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3 | IMPLICIT NONE |
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4 | |
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5 | CONTAINS |
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6 | |
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7 | !========================================================================== |
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8 | |
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9 | SUBROUTINE init_advect(normal,tangent) |
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10 | USE domain_mod |
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11 | USE dimensions |
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12 | USE geometry |
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13 | USE metric |
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14 | USE vector |
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15 | IMPLICIT NONE |
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16 | REAL(rstd),INTENT(OUT) :: normal(3*iim*jjm,3) |
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17 | REAL(rstd),INTENT(OUT) :: tangent(3*iim*jjm,3) |
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18 | |
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19 | INTEGER :: i,j,n |
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20 | |
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21 | DO j=jj_begin-1,jj_end+1 |
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22 | DO i=ii_begin-1,ii_end+1 |
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23 | n=(j-1)*iim+i |
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24 | |
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25 | CALL cross_product2(xyz_v(n+z_rdown,:),xyz_v(n+z_rup,:),normal(n+u_right,:)) |
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26 | normal(n+u_right,:)=normal(n+u_right,:)/sqrt(sum(normal(n+u_right,:)**2)+1e-50)*ne(n,right) |
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27 | |
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28 | CALL cross_product2(xyz_v(n+z_up,:),xyz_v(n+z_lup,:),normal(n+u_lup,:)) |
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29 | normal(n+u_lup,:)=normal(n+u_lup,:)/sqrt(sum(normal(n+u_lup,:)**2)+1e-50)*ne(n,lup) |
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30 | |
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31 | CALL cross_product2(xyz_v(n+z_ldown,:),xyz_v(n+z_down,:),normal(n+u_ldown,:)) |
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32 | normal(n+u_ldown,:)=normal(n+u_ldown,:)/sqrt(sum(normal(n+u_ldown,:)**2)+1e-50)*ne(n,ldown) |
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33 | |
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34 | tangent(n+u_right,:)=xyz_v(n+z_rup,:)-xyz_v(n+z_rdown,:) |
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35 | tangent(n+u_right,:)=tangent(n+u_right,:)/sqrt(sum(tangent(n+u_right,:)**2)+1e-50) |
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36 | |
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37 | tangent(n+u_lup,:)=xyz_v(n+z_lup,:)-xyz_v(n+z_up,:) |
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38 | tangent(n+u_lup,:)=tangent(n+u_lup,:)/sqrt(sum(tangent(n+u_lup,:)**2)+1e-50) |
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39 | |
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40 | tangent(n+u_ldown,:)=xyz_v(n+z_down,:)-xyz_v(n+z_ldown,:) |
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41 | tangent(n+u_ldown,:)=tangent(n+u_ldown,:)/sqrt(sum(tangent(n+u_ldown,:)**2)+1e-50) |
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42 | END DO |
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43 | ENDDO |
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44 | |
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45 | END SUBROUTINE init_advect |
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46 | |
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47 | !======================================================================================= |
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48 | |
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49 | SUBROUTINE compute_gradq3d(qi,gradq3d) |
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50 | USE domain_mod |
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51 | USE dimensions |
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52 | USE geometry |
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53 | USE metric |
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54 | IMPLICIT NONE |
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55 | REAL(rstd),INTENT(IN) :: qi(iim*jjm,llm) |
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56 | REAL(rstd),INTENT(OUT) :: gradq3d(iim*jjm,llm,3) |
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57 | REAL(rstd) :: maxq,minq,minq_c,maxq_c |
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58 | REAL(rstd) :: alphamx,alphami,alpha ,maggrd,leng |
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59 | REAL(rstd) :: leng1,leng2 |
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60 | REAL(rstd) :: arr(2*iim*jjm) |
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61 | REAL(rstd) :: gradtri(2*iim*jjm,llm,3) |
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62 | REAL(rstd) :: ar |
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63 | INTEGER :: i,j,n,k,ind,l |
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64 | !========================================================================================== GRADIENT |
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65 | Do l = 1,llm |
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66 | DO j=jj_begin-1,jj_end+1 |
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67 | DO i=ii_begin-1,ii_end+1 |
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68 | n=(j-1)*iim+i |
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69 | CALL gradq(n,n+t_rup,n+t_lup,n+z_up,qi(:,l),gradtri(n+z_up,l,:),arr(n+z_up)) |
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70 | CALL gradq(n,n+t_ldown,n+t_rdown,n+z_down,qi(:,l),gradtri(n+z_down,l,:),arr(n+z_down)) |
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71 | END DO |
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72 | END DO |
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73 | END DO |
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74 | |
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75 | ! Do l =1,llm |
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76 | DO j=jj_begin,jj_end |
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77 | DO i=ii_begin,ii_end |
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78 | n=(j-1)*iim+i |
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79 | gradq3d(n,:,:) = gradtri(n+z_up,:,:) + gradtri(n+z_down,:,:) + & |
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80 | gradtri(n+z_rup,:,:) + gradtri(n+z_ldown,:,:) + & |
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81 | gradtri(n+z_lup,:,:)+ gradtri(n+z_rdown,:,:) |
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82 | ar = arr(n+z_up)+arr(n+z_lup)+arr(n+z_ldown)+arr(n+z_down)+arr(n+z_rdown)+arr(n+z_rup) |
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83 | gradq3d(n,:,:) = gradq3d(n,:,:)/(ar+1.e-50) |
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84 | END DO |
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85 | END DO |
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86 | ! END DO |
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87 | |
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88 | !============================================================================================= LIMITING |
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89 | ! GO TO 120 |
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90 | DO l =1,llm |
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91 | DO j=jj_begin,jj_end |
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92 | DO i=ii_begin,ii_end |
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93 | n=(j-1)*iim+i |
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94 | maggrd = dot_product(gradq3d(n,l,:),gradq3d(n,l,:)) |
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95 | maggrd = sqrt(maggrd) |
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96 | leng = max(sum((xyz_v(n+z_up,:) - xyz_i(n,:))**2),sum((xyz_v(n+z_down,:) - xyz_i(n,:))**2), & |
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97 | sum((xyz_v(n+z_rup,:) - xyz_i(n,:))**2),sum((xyz_v(n+z_rdown,:) - xyz_i(n,:))**2), & |
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98 | sum((xyz_v(n+z_lup,:) - xyz_i(n,:))**2),sum((xyz_v(n+z_ldown,:) - xyz_i(n,:))**2)) |
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99 | maxq_c = qi(n,l) + maggrd*sqrt(leng) |
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100 | minq_c = qi(n,l) - maggrd*sqrt(leng) |
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101 | maxq = max(qi(n,l),qi(n+t_right,l),qi(n+t_lup,l),qi(n+t_rup,l),qi(n+t_left,l), & |
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102 | qi(n+t_rdown,l),qi(n+t_ldown,l)) |
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103 | minq = min(qi(n,l),qi(n+t_right,l),qi(n+t_lup,l),qi(n+t_rup,l),qi(n+t_left,l), & |
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104 | qi(n+t_rdown,l),qi(n+t_ldown,l)) |
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105 | alphamx = (maxq - qi(n,l)) ; alphamx = alphamx/(maxq_c - qi(n,l) ) |
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106 | alphamx = max(alphamx,0.0) |
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107 | alphami = (minq - qi(n,l)); alphami = alphami/(minq_c - qi(n,l)) |
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108 | alphami = max(alphami,0.0) |
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109 | alpha = min(alphamx,alphami,1.0) |
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110 | gradq3d(n,l,:) = alpha*gradq3d(n,l,:) |
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111 | END DO |
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112 | END DO |
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113 | END DO |
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114 | END SUBROUTINE compute_gradq3d |
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115 | |
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116 | !=================================================================================================== |
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117 | SUBROUTINE compute_advect_horiz(normal,tangent,qi,gradq3d,him,ue,he,bigt) |
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118 | USE domain_mod |
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119 | USE dimensions |
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120 | USE geometry |
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121 | USE metric |
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122 | IMPLICIT NONE |
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123 | REAL(rstd),INTENT(IN) :: normal(3*iim*jjm,3) |
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124 | REAL(rstd),INTENT(IN) :: tangent(3*iim*jjm,3) |
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125 | REAL(rstd),INTENT(INOUT) :: qi(iim*jjm,llm) |
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126 | REAL(rstd),INTENT(IN) :: gradq3d(iim*jjm,llm,3) |
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127 | REAL(rstd),INTENT(INOUT) :: him(iim*jjm,llm) |
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128 | REAL(rstd),INTENT(IN) :: ue(iim*3*jjm,llm) |
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129 | REAL(rstd),INTENT(IN) :: he(3*iim*jjm,llm) ! mass flux |
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130 | REAL(rstd),INTENT(IN) :: bigt |
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131 | |
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132 | REAL(rstd) :: dqi(iim*jjm,llm),dhi(iim*jjm,llm) |
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133 | REAL(rstd) :: cc(3*iim*jjm,llm,3) |
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134 | REAL(rstd) :: v_e(3*iim*jjm,llm,3) |
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135 | REAL(rstd) :: up_e |
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136 | |
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137 | REAL(rstd) :: qe(3*iim*jjm,llm) |
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138 | REAL(rstd) :: ed(3) |
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139 | REAL(rstd) :: flxx(3*iim*jjm,llm) |
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140 | INTEGER :: i,j,n,k,l |
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141 | REAL(rstd):: him_old(llm) |
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142 | |
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143 | |
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144 | !go to 123 |
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145 | DO l = 1,llm |
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146 | DO j=jj_begin,jj_end |
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147 | DO i=ii_begin,ii_end |
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148 | n=(j-1)*iim+i |
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149 | |
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150 | up_e =1/de(n+u_right)*( & |
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151 | wee(n+u_right,1,1)*le(n+u_rup)*ue(n+u_rup,l)+ & |
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152 | wee(n+u_right,2,1)*le(n+u_lup)*ue(n+u_lup,l)+ & |
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153 | wee(n+u_right,3,1)*le(n+u_left)*ue(n+u_left,l)+ & |
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154 | wee(n+u_right,4,1)*le(n+u_ldown)*ue(n+u_ldown,l)+ & |
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155 | wee(n+u_right,5,1)*le(n+u_rdown)*ue(n+u_rdown,l)+ & |
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156 | wee(n+u_right,1,2)*le(n+t_right+u_ldown)*ue(n+t_right+u_ldown,l)+ & |
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157 | wee(n+u_right,2,2)*le(n+t_right+u_rdown)*ue(n+t_right+u_rdown,l)+ & |
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158 | wee(n+u_right,3,2)*le(n+t_right+u_right)*ue(n+t_right+u_right,l)+ & |
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159 | wee(n+u_right,4,2)*le(n+t_right+u_rup)*ue(n+t_right+u_rup,l)+ & |
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160 | wee(n+u_right,5,2)*le(n+t_right+u_lup)*ue(n+t_right+u_lup,l) & |
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161 | ) |
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162 | v_e(n+u_right,l,:)= ue(n+u_right,l)*normal(n+u_right,:) + up_e*tangent(n+u_right,:) |
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163 | |
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164 | up_e=1/de(n+u_lup)*( & |
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165 | wee(n+u_lup,1,1)*le(n+u_left)*ue(n+u_left,l)+ & |
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166 | wee(n+u_lup,2,1)*le(n+u_ldown)*ue(n+u_ldown,l)+ & |
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167 | wee(n+u_lup,3,1)*le(n+u_rdown)*ue(n+u_rdown,l)+ & |
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168 | wee(n+u_lup,4,1)*le(n+u_right)*ue(n+u_right,l)+ & |
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169 | wee(n+u_lup,5,1)*le(n+u_rup)*ue(n+u_rup,l)+ & |
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170 | wee(n+u_lup,1,2)*le(n+t_lup+u_right)*ue(n+t_lup+u_right,l)+ & |
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171 | wee(n+u_lup,2,2)*le(n+t_lup+u_rup)*ue(n+t_lup+u_rup,l)+ & |
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172 | wee(n+u_lup,3,2)*le(n+t_lup+u_lup)*ue(n+t_lup+u_lup,l)+ & |
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173 | wee(n+u_lup,4,2)*le(n+t_lup+u_left)*ue(n+t_lup+u_left,l)+ & |
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174 | wee(n+u_lup,5,2)*le(n+t_lup+u_ldown)*ue(n+t_lup+u_ldown,l) & |
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175 | ) |
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176 | v_e(n+u_lup,l,:)= ue(n+u_lup,l)*normal(n+u_lup,:) + up_e*tangent(n+u_lup,:) |
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177 | |
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178 | up_e=1/de(n+u_ldown)*( & |
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179 | wee(n+u_ldown,1,1)*le(n+u_rdown)*ue(n+u_rdown,l)+ & |
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180 | wee(n+u_ldown,2,1)*le(n+u_right)*ue(n+u_right,l)+ & |
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181 | wee(n+u_ldown,3,1)*le(n+u_rup)*ue(n+u_rup,l)+ & |
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182 | wee(n+u_ldown,4,1)*le(n+u_lup)*ue(n+u_lup,l)+ & |
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183 | wee(n+u_ldown,5,1)*le(n+u_left)*ue(n+u_left,l)+ & |
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184 | wee(n+u_ldown,1,2)*le(n+t_ldown+u_lup)*ue(n+t_ldown+u_lup,l)+ & |
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185 | wee(n+u_ldown,2,2)*le(n+t_ldown+u_left)*ue(n+t_ldown+u_left,l)+ & |
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186 | wee(n+u_ldown,3,2)*le(n+t_ldown+u_ldown)*ue(n+t_ldown+u_ldown,l)+ & |
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187 | wee(n+u_ldown,4,2)*le(n+t_ldown+u_rdown)*ue(n+t_ldown+u_rdown,l)+ & |
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188 | wee(n+u_ldown,5,2)*le(n+t_ldown+u_right)*ue(n+t_ldown+u_right,l) & |
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189 | ) |
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190 | v_e(n+u_ldown,l,:)= ue(n+u_ldown,l)*normal(n+u_ldown,:) + up_e*tangent(n+u_ldown,:) |
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191 | |
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192 | cc(n+u_right,l,:) = xyz_e(n+u_right,:) - v_e(n+u_right,l,:)*0.5*bigt !! redge is mid point of edge i |
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193 | cc(n+u_lup,l,:) = xyz_e(n+u_lup,:) - v_e(n+u_lup,l,:)*0.5*bigt |
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194 | cc(n+u_ldown,l,:) = xyz_e(n+u_ldown,:) - v_e(n+u_ldown,l,:)*0.5*bigt |
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195 | ENDDO |
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196 | ENDDO |
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197 | END DO |
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198 | !123 continue |
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199 | !========================================================================================================== |
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200 | DO l = 1,llm |
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201 | DO j=jj_begin-1,jj_end+1 |
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202 | DO i=ii_begin-1,ii_end+1 |
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203 | n=(j-1)*iim+i |
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204 | if (ne(n,right)*ue(n+u_right,l)>0) then |
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205 | ed = cc(n+u_right,l,:) - xyz_i(n,:) |
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206 | qe(n+u_right,l)=qi(n,l)+sum2(gradq3d(n,l,:),ed) |
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207 | else |
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208 | ed = cc(n+u_right,l,:) - xyz_i(n+t_right,:) |
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209 | qe(n+u_right,l)=qi(n+t_right,l)+sum2(gradq3d(n+t_right,l,:),ed) |
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210 | endif |
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211 | if (ne(n,lup)*ue(n+u_lup,l)>0) then |
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212 | ed = cc(n+u_lup,l,:) - xyz_i(n,:) |
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213 | qe(n+u_lup,l)=qi(n,l)+sum2(gradq3d(n,l,:),ed) |
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214 | else |
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215 | ed = cc(n+u_lup,l,:) - xyz_i(n+t_lup,:) |
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216 | qe(n+u_lup,l)=qi(n+t_lup,l)+sum2(gradq3d(n+t_lup,l,:),ed) |
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217 | endif |
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218 | if (ne(n,ldown)*ue(n+u_ldown,l)>0) then |
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219 | ed = cc(n+u_ldown,l,:) - xyz_i(n,:) |
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220 | qe(n+u_ldown,l)=qi(n,l)+ sum2(gradq3d(n,l,:),ed) |
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221 | else |
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222 | ed = cc(n+u_ldown,l,:) - xyz_i(n+t_ldown,:) |
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223 | qe(n+u_ldown,l)=qi(n+t_ldown,l)+sum2(gradq3d(n+t_ldown,l,:),ed) |
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224 | endif |
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225 | end do |
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226 | end do |
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227 | END DO |
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228 | |
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229 | |
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230 | DO j=jj_begin-1,jj_end+1 |
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231 | DO i=ii_begin-1,ii_end+1 |
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232 | n=(j-1)*iim+i |
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233 | flxx(n+u_right,:) = he(n+u_right,:)*qe(n+u_right,:)*ne(n,right) |
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234 | flxx(n+u_lup,:) = he(n+u_lup,:)*qe(n+u_lup,:)*ne(n,lup) |
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235 | flxx(n+u_ldown,:) = he(n+u_ldown,:)*qe(n+u_ldown,:)*ne(n,ldown) |
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236 | ENDDO |
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237 | ENDDO |
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238 | |
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239 | DO j=jj_begin,jj_end |
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240 | DO i=ii_begin,ii_end |
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241 | n=(j-1)*iim+i |
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242 | |
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243 | dhi(n,:)= -(1/Ai(n))*(he(n+u_right,:)*ne(n,right) + he(n+u_lup,:)*ne(n,lup) & |
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244 | + he(n+u_ldown,:)*ne(n,ldown) + he(n+u_rup,:)*ne(n,rup) & |
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245 | + he(n+u_left,:)*ne(n,left) + he(n+u_rdown,:)*ne(n,rdown) ) |
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246 | |
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247 | dqi(n,:)= -(1/Ai(n))*(flxx(n+u_right,:)+flxx(n+u_lup,:) & |
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248 | +flxx(n+u_ldown,:) - flxx(n+u_rup,:) & |
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249 | - flxx(n+u_left,:) - flxx(n+u_rdown,:) ) |
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250 | him_old(:) = him(n,:) |
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251 | him(n,:) = him(n,:) + dhi(n,:) |
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252 | qi(n,:) = (qi(n,:)*him_old(:) + dqi(n,:))/him(n,:) |
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253 | |
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254 | END DO |
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255 | END DO |
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256 | |
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257 | CONTAINS |
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258 | !==================================================================================== |
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259 | REAL FUNCTION sum2(a1,a2) |
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260 | IMPLICIT NONE |
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261 | REAL,INTENT(IN):: a1(3), a2(3) |
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262 | sum2 = a1(1)*a2(1)+a1(2)*a2(2)+a1(3)*a2(3) |
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263 | END FUNCTION sum2 |
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264 | |
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265 | END SUBROUTINE compute_advect_horiz |
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266 | !========================================================================== |
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267 | SUBROUTINE gradq(n0,n1,n2,n3,q,dq,det) |
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268 | USE geometry |
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269 | USE metric |
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270 | USE dimensions |
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271 | IMPLICIT NONE |
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272 | INTEGER, INTENT(IN) :: n0,n1,n2,n3 |
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273 | REAL,INTENT(IN) :: q(iim*jjm) |
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274 | REAL,INTENT(OUT) :: dq(3) |
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275 | REAL(rstd) ::det,detx,dety,detz |
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276 | INTEGER :: info |
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277 | INTEGER :: IPIV(3) |
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278 | |
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279 | REAL(rstd) :: A(3,3) |
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280 | REAL(rstd) :: B(3) |
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281 | |
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282 | A(1,1)=xyz_i(n1,1) -xyz_i(n0,1); A(1,2)=xyz_i(n1,2)- xyz_i(n0,2); A(1,3)=xyz_i(n1,3) - xyz_i(n0,3) |
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283 | A(2,1)=xyz_i(n2,1) - xyz_i(n0,1); A(2,2)=xyz_i(n2,2) - xyz_i(n0,2); A(2,3)=xyz_i(n2,3) - xyz_i(n0,3) |
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284 | A(3,1)=xyz_v(n3,1); A(3,2)= xyz_v(n3,2); A(3,3)= xyz_v(n3,3) |
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285 | |
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286 | |
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287 | dq(1) = q(n1)-q(n0) |
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288 | dq(2) = q(n2)-q(n0) |
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289 | dq(3) = 0.0 |
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290 | ! CALL DGESV(3,1,A,3,IPIV,dq(:),3,info) |
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291 | CALL determinant(A(:,1),A(:,2),A(:,3),det) |
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292 | CALL determinant(dq,A(:,2),A(:,3),detx) |
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293 | CALL determinant(A(:,1),dq,A(:,3),dety) |
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294 | CALL determinant(A(:,1),A(:,2),dq,detz) |
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295 | dq(1) = detx |
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296 | dq(2) = dety |
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297 | dq(3) = detz |
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298 | END SUBROUTINE gradq |
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299 | !========================================================================== |
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300 | SUBROUTINE determinant(a1,a2,a3,det) |
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301 | IMPLICIT NONE |
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302 | REAL, DIMENSION(3) :: a1, a2,a3 |
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303 | REAL :: det,x1,x2,x3 |
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304 | x1 = a1(1) * (a2(2) * a3(3) - a2(3) * a3(2)) |
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305 | x2 = a1(2) * (a2(1) * a3(3) - a2(3) * a3(1)) |
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306 | x3 = a1(3) * (a2(1) * a3(2) - a2(2) * a3(1)) |
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307 | det = x1 - x2 + x3 |
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308 | END SUBROUTINE determinant |
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309 | |
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310 | END MODULE advect_mod |
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