Preface |
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List of Editors and Contributors |
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ix | |
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1 | (14) |
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1.1 Governing Equations for Viscous Fluids |
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1 | (5) |
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1.1.1 Equation of continuity |
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1 | (1) |
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2 | (1) |
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1.1.3 Constitution equation and the Navier-Stokes equation |
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3 | (2) |
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5 | (1) |
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1.2 Governing Equation for Multiphase Flow |
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6 | (1) |
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1.3 Governing Equation of Waves |
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7 | (8) |
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7 | (1) |
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1.3.2 Conventional models for wave transformation analysis |
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8 | (2) |
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10 | (4) |
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14 | (1) |
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15 | (30) |
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2.1 Nearshore Wave Fields and Turbulence |
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15 | (3) |
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2.1.1 Definition of turbulence in wave fields |
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15 | (2) |
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2.1.2 Overviews of turbulence models in numerical wave flumes |
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17 | (1) |
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2.2 Reynolds Averaged Model |
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18 | (7) |
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18 | (3) |
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2.2.2 Reynolds stress and turbulence energy |
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21 | (1) |
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2.2.3 Turbulence in the RANS model |
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22 | (3) |
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2.3 Large Eddy Simulation |
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25 | (13) |
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25 | (1) |
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2.3.2 Filtering operation |
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26 | (4) |
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2.3.3 Leonard's decomposition |
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30 | (2) |
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32 | (3) |
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35 | (1) |
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36 | (2) |
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2.4 Applications of Turbulence Models in the Surf Zone |
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38 | (7) |
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43 | (2) |
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3 Fundamental Computational Methods |
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45 | (30) |
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3.1 Discretization for Finite Differences |
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45 | (7) |
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52 | (12) |
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3.2.1 Bottom and wall conditions |
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53 | (6) |
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59 | (3) |
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62 | (2) |
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3.3 Solution and Procedures for the Pressure Equation |
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64 | (11) |
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65 | (7) |
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3.3.2 Example of solving matrix |
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72 | (1) |
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73 | (2) |
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75 | (26) |
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4.1 Interface Capturing Method |
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75 | (2) |
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4.1.1 Height function method |
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75 | (2) |
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4.1.2 Line segment method |
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77 | (1) |
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4.1.3 Maker particle method |
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77 | (1) |
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77 | (1) |
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77 | (7) |
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4.2.1 Concept of the VOF method |
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77 | (2) |
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4.2.2 Classification of a cell |
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79 | (1) |
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4.2.3 Donor-acceptor method |
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80 | (4) |
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4.2.4 Free surface boundary condition |
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84 | (1) |
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4.3 Numerical Wave Flume Cadmas-Surf |
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84 | (9) |
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4.3.1 Concepts of Cadmas-Surf |
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85 | (1) |
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85 | (5) |
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4.3.3 Wave generation model |
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90 | (1) |
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4.3.4 Open boundary treatment |
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91 | (2) |
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4.4 Application of the VOF Method |
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93 | (8) |
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4.4.1 Verification of a numerical wave flume |
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93 | (2) |
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4.4.2 Wave breaking on a slope |
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95 | (2) |
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4.4.3 Wave and structure interaction |
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97 | (1) |
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98 | (3) |
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101 | (36) |
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5.1 Outline of the CIP Method |
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101 | (10) |
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5.1.1 Two-dimensional interpolation |
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103 | (5) |
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5.1.2 Three-dimensional interpolation |
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108 | (3) |
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5.2 Computational Procedure for the Momentum Equation |
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111 | (3) |
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114 | (3) |
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5.3.1 CIP Combined, Unified Procedure (CCUP) |
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114 | (2) |
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5.3.2 CIP-Conservative semi-Lagrangian Scheme (CLS) |
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116 | (1) |
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5.4 Computation of Free-Surfaces and Interfaces |
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117 | (10) |
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5.4.1 Definition of surfaces |
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119 | (1) |
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5.4.2 Mechanical balance at surfaces |
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120 | (7) |
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5.5 Numerical Wave Flume Based on the CIP Method |
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127 | (10) |
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134 | (3) |
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137 | (44) |
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6.1 Concept of the Particle Method |
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137 | (2) |
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6.2 Discretization of Governing Equations |
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139 | (8) |
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6.2.1 Integral interpolants of the SPH method |
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139 | (4) |
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6.2.2 Vector differential operators of the SPH method |
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143 | (2) |
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6.2.3 Integral interpolants and vector differential operators of the MPS method |
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145 | (2) |
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6.3 Algorithms of Particle Methods |
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147 | (7) |
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6.3.1 The WCSPH method (fully explicit algorithm) |
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148 | (1) |
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6.3.2 The MPS method (semi-implicit algorithm) |
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149 | (2) |
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6.3.3 Boundary conditions |
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151 | (1) |
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6.3.4 Neighboring particle search |
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152 | (2) |
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6.4 Sub-Particle Scale Turbulence Model |
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154 | (2) |
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6.5 Accurate Particle Methods |
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156 | (16) |
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6.5.1 Improvements with momentum conservation |
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156 | (2) |
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6.5.2 Control of pressure fluctuations |
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158 | (10) |
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168 | (4) |
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172 | (9) |
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6.6.1 Wave breaking and overtopping |
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172 | (2) |
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174 | (2) |
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176 | (1) |
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176 | (5) |
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7 Distinct Element Method |
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181 | (14) |
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181 | (7) |
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7.1.1 Governing equations |
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181 | (3) |
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7.1.2 Coordinate transformation |
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184 | (2) |
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7.1.3 Tuning model parameters |
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186 | (2) |
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7.2 DEM-based Armor Block Model |
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188 | (7) |
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188 | (3) |
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7.2.2 Tracking armor blocks under high waves |
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191 | (1) |
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192 | (3) |
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8 Euler-Lagrange Hybrid Method |
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195 | (18) |
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195 | (1) |
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196 | (5) |
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8.2.1 Computation of free-surface particles |
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197 | (2) |
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8.2.2 Computation of solid particles |
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199 | (2) |
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8.3 Applications of the Hybrid Model |
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201 | (12) |
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201 | (3) |
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8.3.2 Interfacial flows with solid structures |
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204 | (5) |
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209 | (4) |
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9 Computational Wave Dynamics for Coastal and Ocean Research |
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213 | (14) |
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213 | (3) |
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9.2 Wave-Structure Interaction |
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216 | (5) |
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9.3 Coastal Disasters, Wave Climates, and Ocean Modeling |
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221 | (6) |
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225 | (2) |
Acronyms List |
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227 | (4) |
Index |
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231 | |