| 1 | !-------------------------------------------------------------------------- |
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| 2 | !---------------------------- wind_centered ---------------------------------- |
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| 3 | ! Perot reconstruction based on Gauss theorem |
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| 4 | ! u = sum( u.edge_normal * edge_length * (edge_midpoint-cell_centroid) ) /cell_area |
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| 5 | !$OMP DO SCHEDULE(STATIC) |
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| 6 | DO ij = 1, primal_num |
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| 7 | ! this VLOOP iterates over primal cell edges |
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| 8 | SELECT CASE(primal_deg(ij)) |
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| 9 | CASE(4) |
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| 10 | edge1 = primal_edge(1,ij) |
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| 11 | edge2 = primal_edge(2,ij) |
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| 12 | edge3 = primal_edge(3,ij) |
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| 13 | edge4 = primal_edge(4,ij) |
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| 14 | sign1 = primal_ne(1,ij) |
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| 15 | sign2 = primal_ne(2,ij) |
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| 16 | sign3 = primal_ne(3,ij) |
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| 17 | sign4 = primal_ne(4,ij) |
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| 18 | ij_up1 = up(edge1) |
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| 19 | ij_up2 = up(edge2) |
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| 20 | ij_up3 = up(edge3) |
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| 21 | ij_up4 = up(edge4) |
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| 22 | ij_down1 = down(edge1) |
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| 23 | ij_down2 = down(edge2) |
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| 24 | ij_down3 = down(edge3) |
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| 25 | ij_down4 = down(edge4) |
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| 26 | !DIR$ SIMD |
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| 27 | DO l = 1, llm |
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| 28 | cx=centroid(ij,1) |
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| 29 | cy=centroid(ij,2) |
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| 30 | cz=centroid(ij,3) |
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| 31 | ux=0. ; uy=0. ; uz=0. |
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| 32 | ue_le = sign1*ue(l,edge1)*le(edge1) |
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| 33 | ux = ux + ue_le*(.5*(xyz_v(ij_up1,1)+xyz_v(ij_down1,1))-cx) |
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| 34 | uy = uy + ue_le*(.5*(xyz_v(ij_up1,2)+xyz_v(ij_down1,2))-cy) |
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| 35 | uz = uz + ue_le*(.5*(xyz_v(ij_up1,3)+xyz_v(ij_down1,3))-cz) |
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| 36 | ue_le = sign2*ue(l,edge2)*le(edge2) |
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| 37 | ux = ux + ue_le*(.5*(xyz_v(ij_up2,1)+xyz_v(ij_down2,1))-cx) |
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| 38 | uy = uy + ue_le*(.5*(xyz_v(ij_up2,2)+xyz_v(ij_down2,2))-cy) |
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| 39 | uz = uz + ue_le*(.5*(xyz_v(ij_up2,3)+xyz_v(ij_down2,3))-cz) |
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| 40 | ue_le = sign3*ue(l,edge3)*le(edge3) |
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| 41 | ux = ux + ue_le*(.5*(xyz_v(ij_up3,1)+xyz_v(ij_down3,1))-cx) |
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| 42 | uy = uy + ue_le*(.5*(xyz_v(ij_up3,2)+xyz_v(ij_down3,2))-cy) |
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| 43 | uz = uz + ue_le*(.5*(xyz_v(ij_up3,3)+xyz_v(ij_down3,3))-cz) |
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| 44 | ue_le = sign4*ue(l,edge4)*le(edge4) |
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| 45 | ux = ux + ue_le*(.5*(xyz_v(ij_up4,1)+xyz_v(ij_down4,1))-cx) |
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| 46 | uy = uy + ue_le*(.5*(xyz_v(ij_up4,2)+xyz_v(ij_down4,2))-cy) |
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| 47 | uz = uz + ue_le*(.5*(xyz_v(ij_up4,3)+xyz_v(ij_down4,3))-cz) |
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| 48 | fac = scale*(1./Ai(ij)) |
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| 49 | ucenter(l,ij,1)=ux*fac |
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| 50 | ucenter(l,ij,2)=uy*fac |
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| 51 | ucenter(l,ij,3)=uz*fac |
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| 52 | END DO |
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| 53 | CASE(5) |
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| 54 | edge1 = primal_edge(1,ij) |
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| 55 | edge2 = primal_edge(2,ij) |
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| 56 | edge3 = primal_edge(3,ij) |
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| 57 | edge4 = primal_edge(4,ij) |
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| 58 | edge5 = primal_edge(5,ij) |
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| 59 | sign1 = primal_ne(1,ij) |
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| 60 | sign2 = primal_ne(2,ij) |
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| 61 | sign3 = primal_ne(3,ij) |
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| 62 | sign4 = primal_ne(4,ij) |
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| 63 | sign5 = primal_ne(5,ij) |
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| 64 | ij_up1 = up(edge1) |
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| 65 | ij_up2 = up(edge2) |
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| 66 | ij_up3 = up(edge3) |
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| 67 | ij_up4 = up(edge4) |
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| 68 | ij_up5 = up(edge5) |
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| 69 | ij_down1 = down(edge1) |
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| 70 | ij_down2 = down(edge2) |
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| 71 | ij_down3 = down(edge3) |
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| 72 | ij_down4 = down(edge4) |
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| 73 | ij_down5 = down(edge5) |
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| 74 | !DIR$ SIMD |
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| 75 | DO l = 1, llm |
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| 76 | cx=centroid(ij,1) |
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| 77 | cy=centroid(ij,2) |
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| 78 | cz=centroid(ij,3) |
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| 79 | ux=0. ; uy=0. ; uz=0. |
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| 80 | ue_le = sign1*ue(l,edge1)*le(edge1) |
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| 81 | ux = ux + ue_le*(.5*(xyz_v(ij_up1,1)+xyz_v(ij_down1,1))-cx) |
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| 82 | uy = uy + ue_le*(.5*(xyz_v(ij_up1,2)+xyz_v(ij_down1,2))-cy) |
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| 83 | uz = uz + ue_le*(.5*(xyz_v(ij_up1,3)+xyz_v(ij_down1,3))-cz) |
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| 84 | ue_le = sign2*ue(l,edge2)*le(edge2) |
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| 85 | ux = ux + ue_le*(.5*(xyz_v(ij_up2,1)+xyz_v(ij_down2,1))-cx) |
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| 86 | uy = uy + ue_le*(.5*(xyz_v(ij_up2,2)+xyz_v(ij_down2,2))-cy) |
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| 87 | uz = uz + ue_le*(.5*(xyz_v(ij_up2,3)+xyz_v(ij_down2,3))-cz) |
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| 88 | ue_le = sign3*ue(l,edge3)*le(edge3) |
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| 89 | ux = ux + ue_le*(.5*(xyz_v(ij_up3,1)+xyz_v(ij_down3,1))-cx) |
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| 90 | uy = uy + ue_le*(.5*(xyz_v(ij_up3,2)+xyz_v(ij_down3,2))-cy) |
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| 91 | uz = uz + ue_le*(.5*(xyz_v(ij_up3,3)+xyz_v(ij_down3,3))-cz) |
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| 92 | ue_le = sign4*ue(l,edge4)*le(edge4) |
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| 93 | ux = ux + ue_le*(.5*(xyz_v(ij_up4,1)+xyz_v(ij_down4,1))-cx) |
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| 94 | uy = uy + ue_le*(.5*(xyz_v(ij_up4,2)+xyz_v(ij_down4,2))-cy) |
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| 95 | uz = uz + ue_le*(.5*(xyz_v(ij_up4,3)+xyz_v(ij_down4,3))-cz) |
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| 96 | ue_le = sign5*ue(l,edge5)*le(edge5) |
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| 97 | ux = ux + ue_le*(.5*(xyz_v(ij_up5,1)+xyz_v(ij_down5,1))-cx) |
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| 98 | uy = uy + ue_le*(.5*(xyz_v(ij_up5,2)+xyz_v(ij_down5,2))-cy) |
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| 99 | uz = uz + ue_le*(.5*(xyz_v(ij_up5,3)+xyz_v(ij_down5,3))-cz) |
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| 100 | fac = scale*(1./Ai(ij)) |
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| 101 | ucenter(l,ij,1)=ux*fac |
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| 102 | ucenter(l,ij,2)=uy*fac |
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| 103 | ucenter(l,ij,3)=uz*fac |
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| 104 | END DO |
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| 105 | CASE(6) |
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| 106 | edge1 = primal_edge(1,ij) |
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| 107 | edge2 = primal_edge(2,ij) |
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| 108 | edge3 = primal_edge(3,ij) |
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| 109 | edge4 = primal_edge(4,ij) |
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| 110 | edge5 = primal_edge(5,ij) |
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| 111 | edge6 = primal_edge(6,ij) |
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| 112 | sign1 = primal_ne(1,ij) |
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| 113 | sign2 = primal_ne(2,ij) |
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| 114 | sign3 = primal_ne(3,ij) |
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| 115 | sign4 = primal_ne(4,ij) |
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| 116 | sign5 = primal_ne(5,ij) |
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| 117 | sign6 = primal_ne(6,ij) |
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| 118 | ij_up1 = up(edge1) |
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| 119 | ij_up2 = up(edge2) |
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| 120 | ij_up3 = up(edge3) |
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| 121 | ij_up4 = up(edge4) |
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| 122 | ij_up5 = up(edge5) |
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| 123 | ij_up6 = up(edge6) |
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| 124 | ij_down1 = down(edge1) |
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| 125 | ij_down2 = down(edge2) |
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| 126 | ij_down3 = down(edge3) |
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| 127 | ij_down4 = down(edge4) |
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| 128 | ij_down5 = down(edge5) |
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| 129 | ij_down6 = down(edge6) |
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| 130 | !DIR$ SIMD |
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| 131 | DO l = 1, llm |
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| 132 | cx=centroid(ij,1) |
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| 133 | cy=centroid(ij,2) |
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| 134 | cz=centroid(ij,3) |
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| 135 | ux=0. ; uy=0. ; uz=0. |
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| 136 | ue_le = sign1*ue(l,edge1)*le(edge1) |
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| 137 | ux = ux + ue_le*(.5*(xyz_v(ij_up1,1)+xyz_v(ij_down1,1))-cx) |
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| 138 | uy = uy + ue_le*(.5*(xyz_v(ij_up1,2)+xyz_v(ij_down1,2))-cy) |
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| 139 | uz = uz + ue_le*(.5*(xyz_v(ij_up1,3)+xyz_v(ij_down1,3))-cz) |
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| 140 | ue_le = sign2*ue(l,edge2)*le(edge2) |
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| 141 | ux = ux + ue_le*(.5*(xyz_v(ij_up2,1)+xyz_v(ij_down2,1))-cx) |
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| 142 | uy = uy + ue_le*(.5*(xyz_v(ij_up2,2)+xyz_v(ij_down2,2))-cy) |
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| 143 | uz = uz + ue_le*(.5*(xyz_v(ij_up2,3)+xyz_v(ij_down2,3))-cz) |
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| 144 | ue_le = sign3*ue(l,edge3)*le(edge3) |
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| 145 | ux = ux + ue_le*(.5*(xyz_v(ij_up3,1)+xyz_v(ij_down3,1))-cx) |
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| 146 | uy = uy + ue_le*(.5*(xyz_v(ij_up3,2)+xyz_v(ij_down3,2))-cy) |
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| 147 | uz = uz + ue_le*(.5*(xyz_v(ij_up3,3)+xyz_v(ij_down3,3))-cz) |
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| 148 | ue_le = sign4*ue(l,edge4)*le(edge4) |
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| 149 | ux = ux + ue_le*(.5*(xyz_v(ij_up4,1)+xyz_v(ij_down4,1))-cx) |
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| 150 | uy = uy + ue_le*(.5*(xyz_v(ij_up4,2)+xyz_v(ij_down4,2))-cy) |
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| 151 | uz = uz + ue_le*(.5*(xyz_v(ij_up4,3)+xyz_v(ij_down4,3))-cz) |
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| 152 | ue_le = sign5*ue(l,edge5)*le(edge5) |
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| 153 | ux = ux + ue_le*(.5*(xyz_v(ij_up5,1)+xyz_v(ij_down5,1))-cx) |
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| 154 | uy = uy + ue_le*(.5*(xyz_v(ij_up5,2)+xyz_v(ij_down5,2))-cy) |
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| 155 | uz = uz + ue_le*(.5*(xyz_v(ij_up5,3)+xyz_v(ij_down5,3))-cz) |
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| 156 | ue_le = sign6*ue(l,edge6)*le(edge6) |
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| 157 | ux = ux + ue_le*(.5*(xyz_v(ij_up6,1)+xyz_v(ij_down6,1))-cx) |
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| 158 | uy = uy + ue_le*(.5*(xyz_v(ij_up6,2)+xyz_v(ij_down6,2))-cy) |
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| 159 | uz = uz + ue_le*(.5*(xyz_v(ij_up6,3)+xyz_v(ij_down6,3))-cz) |
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| 160 | fac = scale*(1./Ai(ij)) |
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| 161 | ucenter(l,ij,1)=ux*fac |
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| 162 | ucenter(l,ij,2)=uy*fac |
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| 163 | ucenter(l,ij,3)=uz*fac |
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| 164 | END DO |
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| 165 | CASE DEFAULT |
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| 166 | !DIR$ SIMD |
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| 167 | DO l = 1, llm |
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| 168 | cx=centroid(ij,1) |
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| 169 | cy=centroid(ij,2) |
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| 170 | cz=centroid(ij,3) |
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| 171 | ux=0. ; uy=0. ; uz=0. |
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| 172 | DO iedge = 1, primal_deg(ij) |
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| 173 | edge = primal_edge(iedge,ij) |
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| 174 | ij_up = up(edge) |
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| 175 | ij_down = down(edge) |
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| 176 | ue_le = primal_ne(iedge,ij)*ue(l,edge)*le(edge) |
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| 177 | ux = ux + ue_le*(.5*(xyz_v(ij_up,1)+xyz_v(ij_down,1))-cx) |
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| 178 | uy = uy + ue_le*(.5*(xyz_v(ij_up,2)+xyz_v(ij_down,2))-cy) |
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| 179 | uz = uz + ue_le*(.5*(xyz_v(ij_up,3)+xyz_v(ij_down,3))-cz) |
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| 180 | END DO |
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| 181 | fac = scale*(1./Ai(ij)) |
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| 182 | ucenter(l,ij,1)=ux*fac |
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| 183 | ucenter(l,ij,2)=uy*fac |
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| 184 | ucenter(l,ij,3)=uz*fac |
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| 185 | END DO |
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| 186 | END SELECT |
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| 187 | END DO |
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| 188 | !$OMP END DO |
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| 189 | !---------------------------- wind_centered ---------------------------------- |
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| 190 | !-------------------------------------------------------------------------- |
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