Garnier / Adams / Sagaut Large Eddy Simulation for Compressible Flows

1. Auflage 2009
ISBN: 978-90-481-2819-8
Verlag: Springer Netherlands
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 280 Seiten

Reihe: Scientific Computation

This book addresses both the fundamentals and the practical industrial applications of Large Eddy Simulation (LES) in order to bridge the gap between LES research and the growing need to use it in engineering modeling.

Pierre Saugaut is one of the leading scientists in scientific computing (Simulation, Analysis and Modeling of Compressible Turbulent Flows), and his books are considered the most important in the field of LES theory and applications (he has been given the ONERA award for the best scientific publication in 1997,1999, 2001). He is teaching at the Pierre et Marie Curie Universite Paris. The author has published several books with Springer ('Large Eddy Simulation for Incompressible Flows', ISBN 978-3-540-26344-9; 'Introduction a la simulation des grandes échelles pour les écoulements de fluide incompressible', ISBN 978-3-540-64684-6; 'Turbulence and Interactions', ISBN 978-3-642-00261-8; 'Quality and Reliability of Large-Eddy Simulations', ISBN 978-1-4020-8577-2). He is in the Editorial/Advisory Board of the Springer Journals 'Theoretical and Computational Fluid Dynamics' and 'Journal of Scientific Computing'.

Autoren/Hrsg.

Garnier, Eric

Adams, Nikolaus

Sagaut, P.

Inhaltsverzeichnis

1;Contents;6
2;Introduction;11
3;LES Governing Equations;15
3.1;Preliminary Discussion;15
3.2;Governing Equations;16
3.2.1;Fundamental Assumptions;16
3.2.2;Conservative Formulation;17
3.2.3;Alternative Formulations;19
3.3;Filtering Operator;19
3.3.1;Definition;20
3.3.1.1;Fundamental Properties;20
3.3.1.2;Additional Hypothesis;22
3.3.1.3;Three Classical Filters for Large Eddy Simulation;22
3.3.1.4;Differential Interpretation of the Filters;23
3.3.2;Discrete Representation of Filters;24
3.3.3;Filtering of Discontinuities;26
3.3.4;Filter Associated to the Numerical Method;28
3.3.5;Commutation Error;30
3.3.6;Favre Filtering;30
3.3.7;Summary of the Different Type of Filters;32
3.4;Formulation of the Filtered Governing Equations;32
3.4.1;Enthalpy Formulation;33
3.4.2;Temperature Formulation;34
3.4.3;Pressure Formulation;34
3.4.4;Entropy Formulation;35
3.4.5;Filtered Total Energy Equations;36
3.4.5.1;A System for E, p, T;37
3.4.5.2;A System for E, p, T;38
3.4.5.3;A System for E, P, T;38
3.4.5.4;A System for E, p, T;39
3.4.6;Momentum Equations;39
3.4.7;Simplifying Assumptions;40
3.4.7.1;SGS Force Terms;40
3.4.7.2;Small Scales Incompressibility;41
3.5;Additional Relations for LES of Compressible Flows;43
3.5.1;Preservation of Original Symmetries;43
3.5.2;Discontinuity Jump Relations for LES;45
3.5.2.1;Shock Modeling and Jump Relations;45
3.5.2.2;Filtered Jump Relations and Associated Constrains on Subgrid Terms;46
3.5.3;Second Law of Thermodynamics;47
3.6;Model Construction;48
3.6.1;Basic Hypothesis;48
3.6.2;Modeling Strategies;49
4;Compressible Turbulence Dynamics;50
4.1;Scope and Content of This Chapter;50
4.2;Kovasznay Decomposition of Turbulent Fluctuations;51
4.2.1;Kovasznay's Linear Decomposition;51
4.2.2;Weakly Nonlinear Kovasznay Decomposition;54
4.3;Statistical Description of Compressible Turbulence;55
4.4;Shock-Turbulence Interaction;57
4.4.1;Introduction to the Linear Interaction Approximation Theory;57
4.4.2;Vortical Turbulence-Shock Interaction;58
4.4.3;Mixed-Mode Turbulence-Shock Interaction;66
4.4.3.1;Influence of the Upstream Entropy Fluctuations;67
4.4.3.2;Influence of the Upstream Acoustic Fluctuations;71
4.4.4;Consequences for Subgrid Modeling;71
4.5;Different Regimes of Isotropic Compressible Turbulence;73
4.5.1;Quasi-Isentropic-Turbulence Regime;74
4.5.2;Nonlinear Subsonic Regime;80
4.5.2.1;Conditions for Occurrence of Shocklets;80
4.5.2.2;Energy Budget and Shocklet Influence;80
4.5.2.3;Enstrophy Budget and Shocklet Influence;81
4.5.3;Supersonic Regime;83
4.5.4;Consequences for Subgrid Modeling;84
5;Functional Modeling;86
5.1;Basis of Functional Modeling;86
5.1.1;Phenomenology of Scale Interactions;86
5.1.2;Basic Functional Modeling Hypothesis;88
5.2;SGS Viscosity;88
5.2.1;The Boussinesq Hypothesis;88
5.2.2;Smagorinsky Model;90
5.2.3;Structure Function Model;91
5.2.4;Mixed Scale Model;91
5.3;Isotropic Tensor Modeling;92
5.4;SGS Heat Flux;93
5.5;Modeling of the Subgrid Turbulent Dissipation Rate;94
5.6;Improvement of SGS models;94
5.6.1;Structural Sensors and Selective Models;94
5.6.2;Accentuation Technique and Filtered Models;96
5.6.3;High-Pass Filtered Eddy Viscosity;97
5.6.4;Wall-Adapting Local Eddy-Viscosity Model;97
5.6.5;Dynamic Procedure;98
5.6.5.1;Computation of the Deviatoric SGS Tensor;98
5.6.5.2;Computation of the Isotropic Part of the SGS Tensor;101
5.6.5.3;Computation of the Dynamic Prandtl Number;101
5.6.6;Implicit Diffusion and the Implicit LES Concept;102
6;Explicit Structural Modeling;103
6.1;Motivation of Structural Modeling;103
6.2;Models Based on Deconvolution;105
6.2.1;Scale-Similarity Model;108
6.2.2;Approximate Deconvolution Model;111
6.2.3;Tensor-Diffusivity Model;113
6.3;Regularization Techniques;113
6.3.1;Eddy-Viscosity Regularization;114
6.3.2;Relaxation Regularization;117
6.3.3;Regularization by Explicit Filtering;119
6.4;Multi-Scale Modeling of Subgrid-Scales;121
6.4.1;Multi-Level Approaches;121
6.4.2;Stretched-Vortex Model;124
6.4.3;Variational Multi-Scale Model;125
7;Relation Between SGS Model and Numerical Discretization;127
7.1;Systematic Procedures for Nonlinear Error Analysis;127
7.1.1;Error Sources;127
7.1.2;Modified Differential Equation Analysis;129
7.1.3;Modified Differential Equation Analysis in Spectral Space;134
7.2;Implicit LES Approaches Based on Linear and Nonlinear Discretization Schemes;137
7.2.1;The Volume Balance Procedure of Schumamm;137
7.2.2;The Kawamura-Kuwahara Scheme;138
7.2.3;The Piecewise-Parabolic Method;139
7.2.4;The Flux-Corrected-Transport Method;140
7.2.5;The MPDATA Method;144
7.2.6;The Optimum Finite-Volume Scheme;146
7.3;Implicit LES by Adaptive Local Deconvolution;148
7.3.1;Fundamental Concept of ALDM;148
7.3.2;ALDM for the Incompressible Navier-Stokes Equations;151
7.3.3;ALDM for the Compressible Navier-Stokes Equations;156
8;Boundary Conditions for Large-Eddy Simulation of Compressible Flows;162
8.1;Introduction;162
8.2;Wall Modeling for Compressible LES;163
8.2.1;Statement of the Problem;163
8.2.2;Wall Boundary Conditions in the Kovasznay Decomposition Framework: an Insight;163
8.2.3;Turbulent Boundary Layer: Vorticity and Temperature Fields;166
8.2.3.1;Turbulent Boundary Layer Vortical Dynamics: a Brief Reminder;166
8.2.3.2;Turbulent Boundary Layer: Mean Flow Features;167
8.2.4;Turbulent Boundary Layer: Acoustic Field;170
8.2.4.1;A First Insight: Surface Pressure Fluctuations;170
8.2.4.2;Production of Pressure Fluctuations by the Vorticity Field;172
8.2.4.3;Attenuation of Acoustic Modes by Vorticity and Entropy Modes;175
8.2.5;Consequences for the Development of Compressible Wall Models;176
8.2.6;Extension of Existing Wall Models for Incompressible Flows;177
8.2.6.1;Algebraic Two-Layer Wall Models;177
8.2.6.2;Thin-Boundary Layer Equations Based Models;178
8.3;Unsteady Turbulent Inflow Conditions for Compressible LES;179
8.3.1;Fundamentals;179
8.3.2;Precursor Simulation: Advantages and Drawbacks;181
8.3.3;Extraction-Rescaling Techniques;182
8.3.4;Synthetic-Turbulence-Based Models;186
9;Subsonic Applications with Compressibility Effects;192
9.1;Homogeneous Turbulence;192
9.1.1;Context;192
9.1.2;A Few Realizations;193
9.1.3;Influence of the Numerical Method;194
9.1.4;SGS Modeling;197
9.2;Channel Flow;198
9.2.1;Context;198
9.2.2;A Few Realizations;198
9.2.3;Influence of the Numerical Method;199
9.2.4;Influence of the SGS Model;201
9.3;Mixing Layer;202
9.3.1;Context;202
9.3.2;A Few Realizations;202
9.3.3;Influence of the Numerical Method;203
9.3.4;Influence of the SGS Model;204
9.4;Boundary-Layer Flow;205
9.4.1;Context;205
9.4.2;A Few Realizations;205
9.5;Jets;207
9.5.1;Context;207
9.5.2;A Few Realizations;208
9.5.3;Influence of the Numerical Method;209
9.5.4;Influence of the SGS Model;211
9.5.5;Physical Analysis;212
9.6;Flows over Cavities;213
9.6.1;Context;213
9.6.2;A Few Realizations;213
9.6.3;Influence of the Numerical Method;214
9.6.4;Influence of the SGS Model;215
9.6.5;Physical Analysis;215
10;Supersonic Applications;217
10.1;Homogeneous Turbulence;217
10.2;Channel Flow;218
10.2.1;Context;218
10.2.2;A Few Realizations;218
10.2.3;Influence of the Numerical Method;219
10.2.4;Influence of the Grid Resolution;220
10.2.5;Influence of the SGS Model;221
10.3;Boundary Layers;221
10.3.1;Context;221
10.3.2;A Few Realizations;222
10.3.3;Influence of the Numerical Method;222
10.3.4;Influence of the Grid Resolution;223
10.3.5;SGS Modeling;225
10.4;Jets;226
10.4.1;Context;226
10.4.2;A Few Realizations;226
10.4.3;Influence of the Numerical Method;227
10.4.4;Influence of the SGS Model;227
10.4.5;Physical Analysis;227
11;Supersonic Applications with Shock-Turbulence Interaction;229
11.1;Shock-Interaction with Homogeneous Turbulence;230
11.1.1;Phenomenology of Shock-Interaction with Homogeneous Turbulence;230
11.1.2;LES of Shock-Interaction with Homogeneous Turbulence;234
11.2;Shock-Turbulence Interaction in Jets;236
11.2.1;Phenomenology of Shock-Turbulence Interaction in Jets;236
11.2.2;LES of Shock-Turbulence Interaction in Jets;237
11.3;Shock-Turbulent-Boundary-Layer Interaction;239
11.3.1;Phenomenology of Shock-Turbulent-Boundary-Layer Interaction;239
11.3.2;LES of Compression-Ramp Configurations;243
11.3.2.1;Normal Shock Configurations;250
11.3.2.2;Impinging Shock Configurations;254
12;References;260
13;Index;277