| Preface |
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xiii | |
| Foreword |
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xxix | |
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Circular Discrepancy and a Monte Carlo Algorithm for Generating a Low Circular Discrepancy Sequence |
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1 | (20) |
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1 | (2) |
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3 | (1) |
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3 | (4) |
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7 | (2) |
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9 | (4) |
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Mapping the square to a disc |
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10 | (1) |
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11 | (1) |
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Antonov-Saleev variant of the Sobol sequence |
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11 | (1) |
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12 | (1) |
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13 | (1) |
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14 | (1) |
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15 | (6) |
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Periodic and Quasiperiodic Motion of Point Vortices |
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21 | (22) |
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22 | (2) |
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24 | (2) |
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26 | (1) |
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Hamiltonian formulation of point vortex dynamics |
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27 | (6) |
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Decomposition of the Hamiltonian |
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33 | (2) |
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Estimates of the non-integrable perturbations |
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35 | (1) |
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Application of KAM and fixed point theorems |
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36 | (3) |
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39 | (4) |
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Experiments on Heave/Pitch Limit-Cycle Oscillations of a Supercritical Airfoil Close to the Transonic Dip |
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43 | (24) |
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44 | (3) |
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47 | (1) |
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48 | (4) |
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Structural-dynamic parameters |
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50 | (1) |
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Method of flutter calculations |
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50 | (2) |
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52 | (11) |
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52 | (4) |
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56 | (3) |
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Energy exchange in limit-cycle oscillations |
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59 | (4) |
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63 | (4) |
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Vortices in Superconductors |
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67 | (20) |
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68 | (1) |
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The Ginzburg-Landau model |
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69 | (6) |
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The time-dependent Ginzburg-Landau equations |
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72 | (2) |
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A simplified GL model valid for high values of κ |
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74 | (1) |
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The vortex state in non-ideal superconductors |
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75 | (12) |
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76 | (2) |
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78 | (2) |
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Surface superconductivity in high fields |
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80 | (2) |
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82 | (5) |
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Accurate Numerical Simulation of Three-dimensional Lid-driven Cavity Flows with Different Span Lengths |
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87 | (12) |
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88 | (1) |
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Formulation and numerical method |
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88 | (5) |
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88 | (1) |
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89 | (4) |
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93 | (3) |
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96 | (3) |
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Geometric, Stochastic and Algebraic Vortices |
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99 | (20) |
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99 | (4) |
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103 | (3) |
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103 | (1) |
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104 | (1) |
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105 | (1) |
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106 | (4) |
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Proper orthogonal decomposition |
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106 | (1) |
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A de-noising definition of coherent vortices |
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107 | (2) |
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A probabilistic version of the vorticity equation |
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109 | (1) |
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110 | (5) |
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110 | (3) |
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Adaptive wavelet method for the vorticity equation |
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113 | (2) |
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115 | (4) |
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Experimental Investigation & Numerical Simulation of Oblique Shock/Vortex Interaction |
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119 | (16) |
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Dedication to Professor Lu Ting |
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119 | (1) |
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119 | (2) |
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Experimental investigation |
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121 | (5) |
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122 | (1) |
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123 | (1) |
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124 | (2) |
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126 | (1) |
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Computational setup and boundary conditions |
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126 | (1) |
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127 | (3) |
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127 | (1) |
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Weak/moderate interaction |
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127 | (2) |
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129 | (1) |
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130 | (5) |
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Breakdown of Slender Vortices: The State of the Art |
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135 | (22) |
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136 | (2) |
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Inviscid incompressible flow |
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138 | (7) |
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Viscous incompressible flow |
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145 | (8) |
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153 | (4) |
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A Numerical Analysis of Vortex Dislocation in Wake-type Flow with Different Spanwise Nonuniformity |
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157 | (12) |
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158 | (1) |
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Numerical simulation and method |
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159 | (3) |
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162 | (4) |
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Local spanwise nonuniformity |
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162 | (3) |
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Stepped spanwise nonuniformity |
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165 | (1) |
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166 | (3) |
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Vortex Dipole Coordinates on the Sphere |
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169 | (14) |
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169 | (3) |
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The dipole coordinate system |
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172 | (2) |
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174 | (3) |
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The fundamental interactions |
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177 | (3) |
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180 | (3) |
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Magneto-Fluid-Dynamic Flow Control |
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183 | (16) |
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183 | (1) |
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183 | (1) |
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184 | (1) |
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185 | (2) |
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187 | (1) |
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Electro-fluid-dynamic interaction |
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188 | (2) |
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Magneto-fluid-dynamic interaction |
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190 | (2) |
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192 | (7) |
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Interaction between Longitudinal Vortices and Normal and Oblique Shocks |
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199 | (30) |
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199 | (2) |
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201 | (2) |
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Computational setup and boundary conditions |
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203 | (8) |
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Numerical method and vortex identification |
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211 | (2) |
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213 | (8) |
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221 | (8) |
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Analysis of Rotor Vortex Wake Structure Using 3-C PIV Measurements |
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229 | (22) |
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229 | (2) |
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Test set-up and 3-C PIV measurements |
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231 | (1) |
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231 | (2) |
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Rotation of PIV measuring plane |
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233 | (2) |
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235 | (16) |
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Typical Vortex Phenomena in Flow Fields Past Space Vehicles |
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251 | |
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252 | (1) |
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Numerical simulation tool |
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253 | (3) |
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Vortical flow effects on space vehicles |
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256 | (1) |
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256 | (1) |
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256 | (1) |
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257 | (1) |
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258 | (1) |
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259 | (1) |
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260 | |