Preface |
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xi | |
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1 | (12) |
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1.1 The role and importance of turbulence in hydraulics |
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1 | (1) |
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1.2 Characteristics of turbulence |
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2 | (5) |
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1.3 Calculation approaches for turbulent flows |
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7 | (3) |
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1.4 Scope and outline of the book |
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10 | (3) |
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2 Basic methodology of LES |
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13 | (10) |
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2.1 Navier-Stokes equations and Reynolds Averaging (RANS) |
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13 | (2) |
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15 | (1) |
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2.3 Spatial filtering/averaging and resulting equations |
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16 | (4) |
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2.4 Implicit filtering and Schumann's approach |
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20 | (1) |
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2.5 Relation of LES to DNS and RANS |
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21 | (2) |
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3 Subgrid-Scale (SGS) models |
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23 | (14) |
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3.1 Role and desired qualities of an SGS-model |
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23 | (2) |
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25 | (2) |
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3.3 Improved versions of eddy viscosity models |
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27 | (6) |
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27 | (4) |
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31 | (1) |
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3.3.3 Transport-equation SGS models |
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32 | (1) |
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3.4 SGS models not based on the eddy viscosity concept |
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33 | (2) |
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3.4.1 Scale-Similarity Model |
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33 | (1) |
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3.4.2 Dynamic Mixed Model |
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34 | (1) |
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3.4.3 Approximate Deconvolution Models (ADM) and Sub-Filter Scale Models (SFS) |
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34 | (1) |
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3.5 SGS models for the scalar transport equation |
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35 | (2) |
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37 | (24) |
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37 | (2) |
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4.2 Discretization methods |
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39 | (8) |
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4.2.1 Finite Difference Method (FDM) |
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39 | (3) |
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4.2.2 Finite Volume Method (FVM) |
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42 | (1) |
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4.2.3 Time discretization |
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43 | (4) |
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4.3 Numerical accuracy in LES |
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47 | (3) |
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50 | (2) |
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4.5 Solution methods for incompressible flow equations |
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52 | (3) |
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55 | (6) |
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55 | (1) |
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4.6.2 Block-structured grids with matching or non-matching interfaces |
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56 | (1) |
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57 | (1) |
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4.6.4 Structured grids together with the Immersed Boundary Method (IBM) |
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58 | (3) |
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61 | (8) |
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61 | (1) |
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5.2 Rationale for ILES and connection with LES using explicit SGS models |
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62 | (1) |
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5.3 Adaptive Local Deconvolution Model (ALDM) |
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63 | (2) |
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5.4 Monotonically Integrated LES (MILES) |
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65 | (4) |
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6 Boundary and initial conditions |
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69 | (28) |
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6.1 Periodic boundary conditions |
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70 | (2) |
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6.2 Outflow boundary conditions |
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72 | (1) |
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6.3 Inflow boundary conditions |
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73 | (6) |
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6.3.1 Precursor simulations |
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74 | (1) |
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6.3.2 Time-averaged velocity profile superimposed with synthetic turbulence |
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75 | (4) |
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6.4 Free surface boundary conditions |
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79 | (4) |
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6.5 Smooth-wall boundary conditions |
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83 | (5) |
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6.6 Rough-wall boundary conditions |
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88 | (6) |
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94 | (3) |
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7 Hybrid RANS-LES methods |
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97 | (24) |
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97 | (4) |
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97 | (1) |
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7.1.2 Similarity between LES and URANS equations and difference between the approaches |
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98 | (2) |
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7.1.3 Types of hybrid models covered |
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100 | (1) |
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7.1.4 Numerical requirements |
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101 | (1) |
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101 | (5) |
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7.2.1 Models with a sharp interface between RANS and LES regions |
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102 | (3) |
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7.2.2 Models with a smooth transition between RANS and LES regions |
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105 | (1) |
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106 | (3) |
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7.3.1 Inflow to LES sub-domain |
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106 | (2) |
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7.3.2 Outflow from LES sub-domain |
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108 | (1) |
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7.3.3 Lateral coupling of LES and RANS sub-domains |
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109 | (1) |
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7.4 Detached, Eddy Simulation (DES) models |
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109 | (8) |
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7.4.1 Overview of DES model |
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109 | (1) |
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7.4.2 DES based on the Spalart-Allmaras (SA) model |
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110 | (2) |
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7.4.3 DES based on the SST model |
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112 | (2) |
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7.4.4 Improved versions of DES |
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114 | (3) |
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7.5 Scale-Adaptive Simulation (SAS) model |
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117 | (2) |
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7.6 Final comments on hybrid RANS-LES models and future trends |
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119 | (2) |
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8 Eduction of turbulence structures |
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121 | (14) |
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8.1 Structure eduction from point signals: Two-point correlations and velocity spectra |
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122 | (3) |
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8.2 Structure eduction from instantaneous quantities in 2D planes |
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125 | (4) |
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8.3 Structure eduction from isosurfaces of instantaneous quantities in 3D space |
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129 | (6) |
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9 Application examples of LES in hydraulics |
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135 | (92) |
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9.1 Developed straight open channel flow |
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135 | (4) |
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9.2 Flow over rough and permeable beds |
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139 | (9) |
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148 | (7) |
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9.4 Flow through vegetation |
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155 | (6) |
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9.5 Flow in compound channels |
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161 | (7) |
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9.6 Flow in curved open channels |
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168 | (7) |
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9.7 Shallow merging flows |
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175 | (10) |
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9.7.1 Shallow mixing layer developing between two parallel streams |
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175 | (5) |
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180 | (5) |
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9.8 Flow past in-stream hydraulic structures |
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185 | (17) |
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9.8.1 Flow past bridge piers |
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185 | (7) |
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9.8.2 Flow past bridge abutments and isolated spur dikes |
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192 | (4) |
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9.8.3 Flow past groyne fields |
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196 | (6) |
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9.9 Flow and mass exchange processes around a channel-bottom cavity |
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202 | (5) |
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207 | (9) |
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9.10.1 Gravity currents propagating over a flat smooth bed |
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208 | (3) |
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9.10.2 Gravity currents propagating over a rough surface containing 2-D dunes or ribs or in a porous medium |
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211 | (5) |
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9.11 Eco-hydraulics: Flow past an array of freshwater mussels |
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216 | (4) |
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9.12 Flow in a water pump intake |
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220 | (7) |
Appendix A - Introduction to tensor notation |
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227 | (2) |
References |
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229 | (20) |
Index |
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249 | |