Sagaut Large Eddy Simulation for Incompressible Flows

An Introduction
Third Auflage 2006
ISBN: 978-3-540-26403-3
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 558 Seiten

Reihe: Physics and Astronomy (R0)

First concise textbook on Large-Eddy Simulation, a very important method in scientific computing and engineering From the foreword to the third edition written by Charles Meneveau: '... this meticulously assembled and significantly enlarged description of the many aspects of LES will be a most welcome addition to the bookshelves of scientists and engineers in fluid mechanics, LES practitioners, and students of turbulence in general.'

Autoren/Hrsg.

Sagaut, P.

Inhaltsverzeichnis

1;Foreword to the Third Edition;5
2;Foreword to the Second Edition;8
3;Foreword to the First Edition;11
4;Preface to the Third Edition;14
5;Preface to the Second Edition;16
6;Preface to the First Edition;18
7;Contents;20
8;1. Introduction;27
8.1;1.1 Computational Fluid Dynamics;27
8.2;1.2 Levels of Approximation: General;28
8.3;1.3 Statement of the Scale Separation Problem;29
8.4;1.4 Usual Levels of Approximation;31
8.5;1.5 Large-Eddy Simulation: from Practice to Theory. Structure of the Book;35
9;2. Formal Introduction to Scale Separation: Band- Pass Filtering;40
9.1;2.1 Definition and Properties of the Filter in the Homogeneous Case;40
9.2;2.2 Spatial Filtering: Extension to the Inhomogeneous Case;56
9.3;2.3 Time Filtering: a Few Properties;68
10;3. Application to Navier–Stokes Equations;70
10.1;3.1 Navier–Stokes Equations;71
10.2;3.2 Filtered Navier–Stokes Equations in Cartesian Coordinates ( Homogeneous Case);73
10.3;3.3 Decomposition of the Non-linear Term. Associated Equations for the Conventional Approach;74
10.4;3.4 Extension to the Inhomogeneous Case for the Conventional Approach;99
10.5;3.5 Filtered Navier–Stokes Equations in General Coordinates;102
10.6;3.6 Closure Problem;103
11;4. Other Mathematical Models for the Large- Eddy Simulation Problem;107
11.1;4.1 Ensemble-Averaged Models;107
11.2;4.2 Regularized Navier–Stokes Models;109
12;5. Functional Modeling (Isotropic Case);114
12.1;5.1 Phenomenology of Inter-Scale Interactions;114
12.2;5.2 Basic Functional Modeling Hypothesis;127
12.3;5.3 Modeling of the Forward Energy Cascade Process;128
12.4;5.4 Modeling the Backward Energy Cascade Process;194
13;6. Functional Modeling: Extension to Anisotropic Cases;210
13.1;6.1 Statement of the Problem;210
13.2;6.2 Application of Anisotropic Filter to Isotropic Flow;210
13.3;6.3 Application of an Isotropic Filter to a Shear Flow;216
13.4;6.4 Remarks on Flows Submitted to Strong Rotation Effects;231
14;7. Structural Modeling;232
14.1;7.1 Introduction and Motivations;232
14.2;7.2 Formal Series Expansions;233
14.3;7.3 Scale Similarity Hypotheses and Models Using Them;254
14.4;7.4 Mixed Modeling;260
14.5;7.5 Differential Subgrid Stress Models;266
14.6;7.6 Stretched-Vortex Subgrid Stress Models;272
14.7;7.7 Explicit Evaluation of Subgrid Scales;274
14.8;7.8 Direct Identification of Subgrid Terms;295
14.9;7.9 Implicit Structural Models;298
15;8. Numerical Solution: Interpretation and Problems;303
15.1;8.1 Dynamic Interpretation of the Large- Eddy Simulation;303
15.2;8.2 Ties Between the Filter and Computational Grid. Pre- filtering;310
15.3;8.3 Numerical Errors and Subgrid Terms;312
16;9. Analysis and Validation of Large- Eddy Simulation Data;326
16.1;9.1 Statement of the Problem;326
16.2;9.2 Correction Techniques;334
16.3;9.3 Practical Experience;339
17;10. Boundary Conditions;344
17.1;10.1 General Problem;344
17.2;10.2 Solid Walls;347
17.3;10.3 Case of the Inflow Conditions;375
18;11. Coupling Large-Eddy Simulation with Multiresolution/ Multidomain Techniques;389
18.1;11.1 Statement of the Problem;389
18.2;11.2 Methods with Full Overlap;391
18.3;11.3 Methods Without Full Overlap;396
18.4;11.4 Coupling Large-Eddy Simulation with Adaptive Mesh Refinement;397
19;12. Hybrid RANS/LES Approaches;403
19.1;12.1 Motivations and Presentation;403
19.2;12.2 Zonal Decomposition;404
19.3;12.3 Nonlinear Disturbance Equations;410
19.4;12.4 Universal Modeling;411
19.5;12.5 Toward a Theoretical Status for Hybrid RANS/ LES Approaches;419
20;13. Implementation;421
20.1;13.1 Filter Identification. Computing the Cutoff Length;421
20.2;13.2 Explicit Discrete Filters;424
20.3;13.3 Implementation of the Structure Function Models;428
21;14. Examples of Applications;430
21.1;14.1 Homogeneous Turbulence;430
21.2;14.2 Flows Possessing a Direction of Inhomogeneity;433
21.3;14.3 Flows Having at Most One Direction of Homogeneity;438
21.4;14.4 Industrial Applications;451
21.5;14.5 Lessons;458
22;15. Coupling with Passive/Active Scalar;468
22.1;15.1 Scope of this Chapter;468
22.2;15.2 The Passive Scalar Case;469
22.3;15.3 The Active Scalar Case: Stratification and Buoyancy Effects;491
23;A. Statistical and Spectral Analysis of Turbulence;513
23.1;A.1 Turbulence Properties;513
23.2;A.2 Foundations of the Statistical Analysis of Turbulence;513
23.3;A.3 Introduction to Spectral Analysis of the Isotropic Turbulent Fields;517
23.4;A.4 Characteristic Scales of Turbulence;522
23.5;A.5 Spectral Dynamics of Isotropic Homogeneous Turbulence;522
24;B. EDQNM Modeling;525
24.1;B.1 Isotropic EDQNM Model;525
24.2;B.2 Cambon’s Anisotropic EDQNM Model;527
24.3;B.3 EDQNM Model for Isotropic Passive Scalar;529
25;References;531
26;Index;570