1 | !-------------------------------------------------------------------------- |
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2 | !---------------------------- caldyn_slow_NH ---------------------------------- |
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3 | !$OMP DO SCHEDULE(STATIC) |
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4 | DO ij = 1, primal_num |
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5 | kdown = 1 |
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6 | kup = 1 |
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7 | l=1 |
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8 | w_il(l,ij) = 2.*W(l,ij)/rhodz(kup,ij) |
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9 | !DIR$ SIMD |
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10 | DO l = 2, llm |
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11 | kdown = l-1 |
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12 | kup = l |
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13 | w_il(l,ij) = 2.*W(l,ij)/(rhodz(kdown,ij)+rhodz(kup,ij)) |
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14 | END DO |
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15 | kdown = llm |
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16 | kup = llm |
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17 | l=llm+1 |
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18 | w_il(l,ij) = 2.*W(l,ij)/rhodz(kdown,ij) |
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19 | END DO |
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20 | !$OMP END DO |
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21 | !$OMP DO SCHEDULE(STATIC) |
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22 | DO edge = 1, edge_num |
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23 | ij_left = left(edge) |
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24 | ij_right = right(edge) |
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25 | kdown = 1 |
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26 | kup = 1 |
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27 | l=1 |
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28 | ! compute DePhi, v_el, G_el, F_el |
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29 | ! v_el, W2_el and therefore G_el incorporate metric factor le_de |
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30 | ! while DePhil, W_el and F_el do not |
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31 | W_el = .5*( W(l,ij_right)+W(l,ij_left) ) |
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32 | DePhil(l,edge) = 1.*(Phi(l,ij_right)-Phi(l,ij_left)) |
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33 | F_el(l,edge) = DePhil(l,edge)*W_el |
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34 | W2_el = .5*le_de(edge) * ( W(l,ij_left)*w_il(l,ij_left) + W(l,ij_right)*w_il(l,ij_right) ) |
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35 | v_el(l,edge) = .5*le_de(edge)*(u(kup,edge)+u(kdown,edge)) ! checked |
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36 | G_el(l,edge) = v_el(l,edge)*W_el - DePhil(l,edge)*W2_el |
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37 | !DIR$ SIMD |
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38 | DO l = 2, llm |
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39 | kdown = l-1 |
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40 | kup = l |
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41 | ! compute DePhi, v_el, G_el, F_el |
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42 | ! v_el, W2_el and therefore G_el incorporate metric factor le_de |
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43 | ! while DePhil, W_el and F_el do not |
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44 | W_el = .5*( W(l,ij_right)+W(l,ij_left) ) |
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45 | DePhil(l,edge) = 1.*(Phi(l,ij_right)-Phi(l,ij_left)) |
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46 | F_el(l,edge) = DePhil(l,edge)*W_el |
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47 | W2_el = .5*le_de(edge) * ( W(l,ij_left)*w_il(l,ij_left) + W(l,ij_right)*w_il(l,ij_right) ) |
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48 | v_el(l,edge) = .5*le_de(edge)*(u(kup,edge)+u(kdown,edge)) ! checked |
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49 | G_el(l,edge) = v_el(l,edge)*W_el - DePhil(l,edge)*W2_el |
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50 | END DO |
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51 | kdown = llm |
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52 | kup = llm |
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53 | l=llm+1 |
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54 | ! compute DePhi, v_el, G_el, F_el |
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55 | ! v_el, W2_el and therefore G_el incorporate metric factor le_de |
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56 | ! while DePhil, W_el and F_el do not |
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57 | W_el = .5*( W(l,ij_right)+W(l,ij_left) ) |
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58 | DePhil(l,edge) = 1.*(Phi(l,ij_right)-Phi(l,ij_left)) |
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59 | F_el(l,edge) = DePhil(l,edge)*W_el |
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60 | W2_el = .5*le_de(edge) * ( W(l,ij_left)*w_il(l,ij_left) + W(l,ij_right)*w_il(l,ij_right) ) |
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61 | v_el(l,edge) = .5*le_de(edge)*(u(kup,edge)+u(kdown,edge)) ! checked |
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62 | G_el(l,edge) = v_el(l,edge)*W_el - DePhil(l,edge)*W2_el |
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63 | END DO |
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64 | !$OMP END DO |
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65 | ! compute GradPhi2, dPhi, dW |
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66 | !$OMP DO SCHEDULE(STATIC) |
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67 | DO ij = 1, primal_num |
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68 | ! this VLOOP iterates over primal cell edges |
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69 | SELECT CASE(primal_deg(ij)) |
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70 | CASE(4) |
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71 | edge1 = primal_edge(1,ij) |
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72 | edge2 = primal_edge(2,ij) |
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73 | edge3 = primal_edge(3,ij) |
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74 | edge4 = primal_edge(4,ij) |
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75 | le_de1 = le_de(edge1) |
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76 | le_de2 = le_de(edge2) |
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77 | le_de3 = le_de(edge3) |
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78 | le_de4 = le_de(edge4) |
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79 | sign1 = primal_ne(1,ij) |
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80 | sign2 = primal_ne(2,ij) |
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81 | sign3 = primal_ne(3,ij) |
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82 | sign4 = primal_ne(4,ij) |
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83 | !DIR$ SIMD |
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84 | DO l = 1, llm+1 |
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85 | gPhi2=0. |
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86 | dP=0. |
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87 | divG=0 |
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88 | gPhi2 = gPhi2 + le_de1*DePhil(l,edge1)**2 |
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89 | dP = dP + le_de1*DePhil(l,edge1)*v_el(l,edge1) |
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90 | divG = divG + sign1*G_el(l,edge1) ! -div(G_el), G_el already has le_de |
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91 | gPhi2 = gPhi2 + le_de2*DePhil(l,edge2)**2 |
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92 | dP = dP + le_de2*DePhil(l,edge2)*v_el(l,edge2) |
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93 | divG = divG + sign2*G_el(l,edge2) ! -div(G_el), G_el already has le_de |
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94 | gPhi2 = gPhi2 + le_de3*DePhil(l,edge3)**2 |
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95 | dP = dP + le_de3*DePhil(l,edge3)*v_el(l,edge3) |
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96 | divG = divG + sign3*G_el(l,edge3) ! -div(G_el), G_el already has le_de |
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97 | gPhi2 = gPhi2 + le_de4*DePhil(l,edge4)**2 |
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98 | dP = dP + le_de4*DePhil(l,edge4)*v_el(l,edge4) |
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99 | divG = divG + sign4*G_el(l,edge4) ! -div(G_el), G_el already has le_de |
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100 | gradPhi2(l,ij) = 1./(2.*Ai(ij)) * gPhi2 |
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101 | dPhi(l,ij) = gradPhi2(l,ij)*w_il(l,ij) - 1./(2.*Ai(ij))*dP |
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102 | dW(l,ij) = (-1./Ai(ij))*divG |
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103 | END DO |
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104 | CASE(5) |
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105 | edge1 = primal_edge(1,ij) |
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106 | edge2 = primal_edge(2,ij) |
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107 | edge3 = primal_edge(3,ij) |
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108 | edge4 = primal_edge(4,ij) |
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109 | edge5 = primal_edge(5,ij) |
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110 | le_de1 = le_de(edge1) |
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111 | le_de2 = le_de(edge2) |
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112 | le_de3 = le_de(edge3) |
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113 | le_de4 = le_de(edge4) |
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114 | le_de5 = le_de(edge5) |
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115 | sign1 = primal_ne(1,ij) |
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116 | sign2 = primal_ne(2,ij) |
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117 | sign3 = primal_ne(3,ij) |
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118 | sign4 = primal_ne(4,ij) |
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119 | sign5 = primal_ne(5,ij) |
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120 | !DIR$ SIMD |
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121 | DO l = 1, llm+1 |
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122 | gPhi2=0. |
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123 | dP=0. |
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124 | divG=0 |
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125 | gPhi2 = gPhi2 + le_de1*DePhil(l,edge1)**2 |
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126 | dP = dP + le_de1*DePhil(l,edge1)*v_el(l,edge1) |
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127 | divG = divG + sign1*G_el(l,edge1) ! -div(G_el), G_el already has le_de |
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128 | gPhi2 = gPhi2 + le_de2*DePhil(l,edge2)**2 |
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129 | dP = dP + le_de2*DePhil(l,edge2)*v_el(l,edge2) |
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130 | divG = divG + sign2*G_el(l,edge2) ! -div(G_el), G_el already has le_de |
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131 | gPhi2 = gPhi2 + le_de3*DePhil(l,edge3)**2 |
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132 | dP = dP + le_de3*DePhil(l,edge3)*v_el(l,edge3) |
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133 | divG = divG + sign3*G_el(l,edge3) ! -div(G_el), G_el already has le_de |
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134 | gPhi2 = gPhi2 + le_de4*DePhil(l,edge4)**2 |
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135 | dP = dP + le_de4*DePhil(l,edge4)*v_el(l,edge4) |
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136 | divG = divG + sign4*G_el(l,edge4) ! -div(G_el), G_el already has le_de |
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137 | gPhi2 = gPhi2 + le_de5*DePhil(l,edge5)**2 |
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138 | dP = dP + le_de5*DePhil(l,edge5)*v_el(l,edge5) |
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139 | divG = divG + sign5*G_el(l,edge5) ! -div(G_el), G_el already has le_de |
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140 | gradPhi2(l,ij) = 1./(2.*Ai(ij)) * gPhi2 |
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141 | dPhi(l,ij) = gradPhi2(l,ij)*w_il(l,ij) - 1./(2.*Ai(ij))*dP |
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142 | dW(l,ij) = (-1./Ai(ij))*divG |
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143 | END DO |
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144 | CASE(6) |
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145 | edge1 = primal_edge(1,ij) |
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146 | edge2 = primal_edge(2,ij) |
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147 | edge3 = primal_edge(3,ij) |
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148 | edge4 = primal_edge(4,ij) |
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149 | edge5 = primal_edge(5,ij) |
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150 | edge6 = primal_edge(6,ij) |
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151 | le_de1 = le_de(edge1) |
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152 | le_de2 = le_de(edge2) |
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153 | le_de3 = le_de(edge3) |
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154 | le_de4 = le_de(edge4) |
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155 | le_de5 = le_de(edge5) |
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156 | le_de6 = le_de(edge6) |
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157 | sign1 = primal_ne(1,ij) |
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158 | sign2 = primal_ne(2,ij) |
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159 | sign3 = primal_ne(3,ij) |
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160 | sign4 = primal_ne(4,ij) |
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161 | sign5 = primal_ne(5,ij) |
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162 | sign6 = primal_ne(6,ij) |
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163 | !DIR$ SIMD |
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164 | DO l = 1, llm+1 |
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165 | gPhi2=0. |
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166 | dP=0. |
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167 | divG=0 |
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168 | gPhi2 = gPhi2 + le_de1*DePhil(l,edge1)**2 |
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169 | dP = dP + le_de1*DePhil(l,edge1)*v_el(l,edge1) |
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170 | divG = divG + sign1*G_el(l,edge1) ! -div(G_el), G_el already has le_de |
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171 | gPhi2 = gPhi2 + le_de2*DePhil(l,edge2)**2 |
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172 | dP = dP + le_de2*DePhil(l,edge2)*v_el(l,edge2) |
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173 | divG = divG + sign2*G_el(l,edge2) ! -div(G_el), G_el already has le_de |
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174 | gPhi2 = gPhi2 + le_de3*DePhil(l,edge3)**2 |
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175 | dP = dP + le_de3*DePhil(l,edge3)*v_el(l,edge3) |
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176 | divG = divG + sign3*G_el(l,edge3) ! -div(G_el), G_el already has le_de |
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177 | gPhi2 = gPhi2 + le_de4*DePhil(l,edge4)**2 |
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178 | dP = dP + le_de4*DePhil(l,edge4)*v_el(l,edge4) |
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179 | divG = divG + sign4*G_el(l,edge4) ! -div(G_el), G_el already has le_de |
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180 | gPhi2 = gPhi2 + le_de5*DePhil(l,edge5)**2 |
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181 | dP = dP + le_de5*DePhil(l,edge5)*v_el(l,edge5) |
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182 | divG = divG + sign5*G_el(l,edge5) ! -div(G_el), G_el already has le_de |
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183 | gPhi2 = gPhi2 + le_de6*DePhil(l,edge6)**2 |
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184 | dP = dP + le_de6*DePhil(l,edge6)*v_el(l,edge6) |
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185 | divG = divG + sign6*G_el(l,edge6) ! -div(G_el), G_el already has le_de |
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186 | gradPhi2(l,ij) = 1./(2.*Ai(ij)) * gPhi2 |
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187 | dPhi(l,ij) = gradPhi2(l,ij)*w_il(l,ij) - 1./(2.*Ai(ij))*dP |
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188 | dW(l,ij) = (-1./Ai(ij))*divG |
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189 | END DO |
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190 | CASE DEFAULT |
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191 | !DIR$ SIMD |
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192 | DO l = 1, llm+1 |
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193 | gPhi2=0. |
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194 | dP=0. |
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195 | divG=0 |
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196 | DO iedge = 1, primal_deg(ij) |
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197 | edge = primal_edge(iedge,ij) |
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198 | gPhi2 = gPhi2 + le_de(edge)*DePhil(l,edge)**2 |
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199 | dP = dP + le_de(edge)*DePhil(l,edge)*v_el(l,edge) |
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200 | divG = divG + primal_ne(iedge,ij)*G_el(l,edge) ! -div(G_el), G_el already has le_de |
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201 | END DO |
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202 | gradPhi2(l,ij) = 1./(2.*Ai(ij)) * gPhi2 |
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203 | dPhi(l,ij) = gradPhi2(l,ij)*w_il(l,ij) - 1./(2.*Ai(ij))*dP |
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204 | dW(l,ij) = (-1./Ai(ij))*divG |
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205 | END DO |
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206 | END SELECT |
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207 | END DO |
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208 | !$OMP END DO |
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209 | ! We need a barrier here because we compute gradPhi2, F_el and w_il above and do a vertical average below |
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210 | !$OMP BARRIER |
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211 | ! Compute berni at scalar points |
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212 | !$OMP DO SCHEDULE(STATIC) |
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213 | DO ij = 1, primal_num |
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214 | ! this VLOOP iterates over primal cell edges |
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215 | SELECT CASE(primal_deg(ij)) |
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216 | CASE(4) |
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217 | edge1 = primal_edge(1,ij) |
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218 | edge2 = primal_edge(2,ij) |
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219 | edge3 = primal_edge(3,ij) |
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220 | edge4 = primal_edge(4,ij) |
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221 | le_de1 = le_de(edge1) |
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222 | le_de2 = le_de(edge2) |
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223 | le_de3 = le_de(edge3) |
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224 | le_de4 = le_de(edge4) |
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225 | !DIR$ SIMD |
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226 | DO l = 1, llm |
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227 | u2=0. |
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228 | u2 = u2 + le_de1*u(l,edge1)**2 |
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229 | u2 = u2 + le_de2*u(l,edge2)**2 |
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230 | u2 = u2 + le_de3*u(l,edge3)**2 |
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231 | u2 = u2 + le_de4*u(l,edge4)**2 |
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232 | berni(l,ij) = 1./(4.*Ai(ij)) * u2 - .25*( gradPhi2(l,ij)*w_il(l,ij)**2 + gradPhi2(l+1,ij)*w_il(l+1,ij)**2 ) |
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233 | END DO |
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234 | CASE(5) |
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235 | edge1 = primal_edge(1,ij) |
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236 | edge2 = primal_edge(2,ij) |
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237 | edge3 = primal_edge(3,ij) |
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238 | edge4 = primal_edge(4,ij) |
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239 | edge5 = primal_edge(5,ij) |
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240 | le_de1 = le_de(edge1) |
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241 | le_de2 = le_de(edge2) |
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242 | le_de3 = le_de(edge3) |
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243 | le_de4 = le_de(edge4) |
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244 | le_de5 = le_de(edge5) |
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245 | !DIR$ SIMD |
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246 | DO l = 1, llm |
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247 | u2=0. |
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248 | u2 = u2 + le_de1*u(l,edge1)**2 |
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249 | u2 = u2 + le_de2*u(l,edge2)**2 |
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250 | u2 = u2 + le_de3*u(l,edge3)**2 |
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251 | u2 = u2 + le_de4*u(l,edge4)**2 |
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252 | u2 = u2 + le_de5*u(l,edge5)**2 |
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253 | berni(l,ij) = 1./(4.*Ai(ij)) * u2 - .25*( gradPhi2(l,ij)*w_il(l,ij)**2 + gradPhi2(l+1,ij)*w_il(l+1,ij)**2 ) |
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254 | END DO |
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255 | CASE(6) |
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256 | edge1 = primal_edge(1,ij) |
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257 | edge2 = primal_edge(2,ij) |
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258 | edge3 = primal_edge(3,ij) |
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259 | edge4 = primal_edge(4,ij) |
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260 | edge5 = primal_edge(5,ij) |
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261 | edge6 = primal_edge(6,ij) |
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262 | le_de1 = le_de(edge1) |
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263 | le_de2 = le_de(edge2) |
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264 | le_de3 = le_de(edge3) |
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265 | le_de4 = le_de(edge4) |
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266 | le_de5 = le_de(edge5) |
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267 | le_de6 = le_de(edge6) |
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268 | !DIR$ SIMD |
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269 | DO l = 1, llm |
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270 | u2=0. |
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271 | u2 = u2 + le_de1*u(l,edge1)**2 |
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272 | u2 = u2 + le_de2*u(l,edge2)**2 |
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273 | u2 = u2 + le_de3*u(l,edge3)**2 |
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274 | u2 = u2 + le_de4*u(l,edge4)**2 |
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275 | u2 = u2 + le_de5*u(l,edge5)**2 |
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276 | u2 = u2 + le_de6*u(l,edge6)**2 |
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277 | berni(l,ij) = 1./(4.*Ai(ij)) * u2 - .25*( gradPhi2(l,ij)*w_il(l,ij)**2 + gradPhi2(l+1,ij)*w_il(l+1,ij)**2 ) |
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278 | END DO |
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279 | CASE DEFAULT |
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280 | !DIR$ SIMD |
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281 | DO l = 1, llm |
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282 | u2=0. |
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283 | DO iedge = 1, primal_deg(ij) |
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284 | edge = primal_edge(iedge,ij) |
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285 | u2 = u2 + le_de(edge)*u(l,edge)**2 |
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286 | END DO |
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287 | berni(l,ij) = 1./(4.*Ai(ij)) * u2 - .25*( gradPhi2(l,ij)*w_il(l,ij)**2 + gradPhi2(l+1,ij)*w_il(l+1,ij)**2 ) |
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288 | END DO |
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289 | END SELECT |
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290 | END DO |
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291 | !$OMP END DO |
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292 | !$OMP DO SCHEDULE(STATIC) |
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293 | DO edge = 1, edge_num |
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294 | ij_left = left(edge) |
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295 | ij_right = right(edge) |
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296 | !DIR$ SIMD |
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297 | DO l = 1, llm |
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298 | ! Compute mass flux and grad(berni) |
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299 | uu = .5*(rhodz(l,ij_left)+rhodz(l,ij_right))*u(l,edge) - .5*( F_el(l,edge)+F_el(l+1,edge) ) |
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300 | hflux(l,edge) = le_de(edge)*uu |
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301 | du(l,edge) = 1.*(berni(l,ij_left)-berni(l,ij_right)) |
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302 | END DO |
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303 | END DO |
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304 | !$OMP END DO |
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305 | !---------------------------- caldyn_slow_NH ---------------------------------- |
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306 | !-------------------------------------------------------------------------- |
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