Scientific Computation

An Introduction

By: Charles Meneveau (Foreword by), P. Sagaut

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Hardcover | 20 September 2005 | Edition Number 3

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Hardcover
592 Pages

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Revised

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23.5 x 15.88 x 3.81

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From the foreword to the third edition written by Charles Meneveau: "... a most welcome addition to the bookshelves of scientists and engineers in fluid mechanics, LES practitioners, and students of turbulence in general."

The only reference devoted entirely to the subject, Large Eddy Simulation presents a comprehensive and unified view of this young but very rich discipline. The coverage focuses on incompressible fluids and thoroughly examines both the mathematical ideas and the practical applications with care. This 3rd edition adds much new material, including careful error analysis of filtered density function models and multiscale models. It also contains two new chapters on the prediction of scalars using LES which are of considerable interest in engineering and geophysical modeling.

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Published: 19th November 2010

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Introduction	p. 1
Computational Fluid Dynamics	p. 1
Levels of Approximation: General	p. 2
Statement of the Scale Separation Problem	p. 3
Usual Levels of Approximation	p. 4
Large-Eddy Simulation	p. 8
Formal Introduction to Scale Separation: Band-Pass Filtering	p. 11
Definition and Properties of the Filter in the Homogeneous Case	p. 11
Definition	p. 11
Fundamental Properties	p. 13
Characterization of Different Approximations	p. 14
Differential Filters	p. 16
Three Classical Filters for Large-Eddy Simulation	p. 17
Differential Interpretation of the Filters	p. 22
Spatial Filtering: Extension to the Inhomogeneous Case	p. 27
General	p. 27
Non-uniform Filtering Over an Arbitrary Domain	p. 28
Time Filtering: A Few Properties	p. 38
Application to Navier-Stokes Equations	p. 39
Navier-Stokes Equations	p. 40
Formulation in Physical Space	p. 40
Formulation in General Coordinates	p. 40
Formulation in Spectral Space	p. 41
Filtered Navier-Stokes Equations in Cartesian Coordinates (Homogeneous Case)	p. 42
Formulation in Physical Space	p. 42
Formulation in Spectral Space	p. 43
Decomposition of the Non-linear Term. Associated Equations for the Conventional Approach	p. 43
Leonard's Decomposition	p. 43
Germano Consistent Decomposition	p. 54
Germano Identity	p. 56
Invariance Properties	p. 59
Realizability Conditions	p. 64
Extension to the Inhomogeneous Case for the Conventional Approach	p. 66
Second-Order Commuting Filter	p. 67
High-Order Commuting Filters	p. 68
Filtered Navier-Stokes Equations in General Coordinates	p. 69
Basic Form of the Filtered Equations	p. 69
Simplified Form of the Equations - Non-linear Terms Decomposition	p. 69
Closure Problem	p. 70
Statement of the Problem	p. 70
Postulates	p. 71
Functional and Structural Modeling	p. 72
Functional Modeling (Isotropic Case)	p. 75
Phenomenology of Inter-Scale Interactions	p. 75
Local Isotropy Assumption: Consequences	p. 76
Interactions Between Resolved and Subgrid Scales	p. 77
A View in Physical Space	p. 86
Summary	p. 88
Basic Functional Modeling Hypothesis	p. 88
Modeling of the Forward Energy Cascade Process	p. 89
Spectral Models	p. 89
Physical Space Models	p. 93
Improvement of Models in the Physical Space	p. 115
Implicit Diffusion: The MILES Concept	p. 140
Modeling the Backward Energy Cascade Process	p. 147
Preliminary Remarks	p. 147
Deterministic Statistical Models	p. 148
Stochastic Models	p. 153
Functional Modeling: Extension to Anisotropic Cases	p. 163
Statement of the Problem	p. 163
Application of Anisotropic Filter to Isotropic Flow	p. 163
Scalar Models	p. 164
Tensorial Models	p. 167
Application of an Isotropic Filter to an Anisotropic Flow	p. 168
Phenomenology of Inter-Scale Interactions	p. 169
Anisotropic Models	p. 174
Structural Modeling	p. 183
Introduction and Motivations	p. 183
Formal Series Expansions	p. 184
Models Based on Approximate Deconvolution	p. 184
Nonlinear Models	p. 194
Homogenization Technique: Perrier and Pironneau Models	p. 199
Scale Similarity Hypotheses and Models Using Them	p. 201
Scale Similarity Hypotheses	p. 201
Scale Similarity Models	p. 203
A Bridge Between Scale Similarity and Approximate Deconvolution Models. Generalized Similarity Models	p. 206
Mixed Modeling	p. 207
Motivations	p. 207
Examples of Mixed Models	p. 209
Differential Subgrid Stress Models	p. 213
Deardorff Model	p. 213
Link with the Subgrid Viscosity Models	p. 214
Deterministic Models of the Subgrid Structures	p. 215
General	p. 215
S3/S2 Alignment Model	p. 216
S3/¿ Alignment Model	p. 216
Kinematic Model	p. 216
Explicit Evaluation of Subgrid Scales	p. 217
Fractal Interpolation Procedure	p. 219
Chaotic Map Model	p. 220
Kinematic-Simulation-Based Reconstruction	p. 223
Subgrid Scale Estimation Procedure	p. 224
Multilevel Simulations	p. 225
Direct Identification of Subgrid Terms	p. 233
Linear-Stochastic-Estimation-Based Model	p. 234
Neural-Network-Based Model	p. 235
Implicit Structural Models	p. 236
Local Average Method	p. 237
Scale Residual Model	p. 238
Numerical Solution: Interpretation and Problems	p. 241
Dynamic Interpretation of the Large-Eddy Simulation	p. 241
Static and Dynamic Interpretations: Effective Filter	p. 241
Theoretical Analysis of the Turbulence Generated by Large-Eddy Simulation	p. 243
Ties Between the Filter and Computational Grid. Pre-filtering	p. 248
Numerical Errors and Subgrid Terms	p. 250
Ghosal's General Analysis	p. 250
Remarks on the Use of Artificial Dissipations	p. 255
Remarks Concerning the Time Integration Method	p. 258
Analysis and Validation of Large-Eddy Simulation Data	p. 261
Statement of the Problem	p. 261
Type of Information Contained in a Large-Eddy Simulation	p. 261
Validation Methods	p. 262
Statistical Equivalency Classes of Realizations	p. 263
Ideal LES and Optimal LES	p. 266
Correction Techniques	p. 267
Filtering the Reference Data	p. 268
Evaluation of Subgrid Scale Contribution	p. 268
Practical Experience	p. 269
Boundary Conditions	p. 271
General Problem	p. 271
Mathematical Aspects	p. 271
Physical Aspects	p. 272
Solid Walls	p. 274
Statement of the Problem	p. 274
A Few Wall Models	p. 281
Case of the Inflow Conditions	p. 297
Required Conditions	p. 297
Inflow Condition Generation Techniques	p. 298
Coupling Large-Eddy Simulation with Multiresolution/Multidomain Techniques	p. 309
Statement of the Problem	p. 309
Methods with Full Overlap	p. 311
One-Way Coupling Algorithm	p. 312
Two-Way Coupling Algorithm	p. 312
FAS-like Multilevel Method	p. 313
Kravchenko et al. Method	p. 316
Methods Without Full Overlap	p. 316
Hybrid RANS/LES Approaches	p. 319
Motivations and Presentation	p. 319
Zonal Decomposition	p. 320
Statement of the Problem	p. 320
Sharp Transition	p. 321
Smooth Transition	p. 323
Zonal RANS/LES Approach as Wall Model	p. 324
Nonlinear Disturbance Equations	p. 325
Universal Modeling	p. 327
Germano's Hybrid Model	p. 327
Speziale's Rescaling Method and Simplifications	p. 328
Arunajatesan's Modified Two-Equation Model	p. 329
Bush-Mani Limiters	p. 330
Implementation	p. 331
Filter Identification. Computing the Cutoff Length	p. 331
Explicit Discrete Filters	p. 334
Uniform One-Dimensional Grid Case	p. 334
Extension to the Multidimensional Case	p. 337
Extension to the General Case. Convolution Filters	p. 337
High-Order Elliptic Filters	p. 338
Implementation of the Structure Function Model	p. 338
Examples of Applications	p. 341
Homogeneous Turbulence	p. 341
Isotropic Homogeneous Turbulence	p. 341
Anisotropic Homogeneous Turbulence	p. 342
Flows Possessing a Direction of Inhomogeneity	p. 344
Time-Evolving Plane Channel	p. 344
Other Flows	p. 348
Flows Having at Most One Direction of Homogeneity	p. 348
Round Jet	p. 349
Backward Facing Step	p. 356
Square-Section Cylinder	p. 360
Other Examples	p. 361
Industrial Applications	p. 362
Large-Eddy Simulation for Nuclear Power Plants	p. 362
Flow in a Mixed-Flow Pump	p. 362
Flow Around a Landing Gear Configuration	p. 367
Flow Around a Full Scale Car	p. 368
Lessons	p. 370
General Lessons	p. 370
Subgrid Model Efficiency	p. 371
Wall Model Efficiency	p. 374
Mesh Generation for "Building Blocks" Flows	p. 375
Statistical and Spectral Analysis of Turbulence	p. 379
Turbulence Properties	p. 379
Foundations of the Statistical Analysis of Turbulence	p. 379
Motivations	p. 379
Statistical Average: Definition and Properties	p. 380
Ergodicity Principle	p. 380
Decomposition of a Turbulent Field	p. 382
Isotropic Homogeneous Turbulence	p. 383
Introduction to Spectral Analysis of the Isotropic Turbulent Fields	p. 383
Definitions	p. 383
Modal Interactions	p. 385
Spectral Equations	p. 386
Characteristic Scales of Turbulence	p. 388
Spectral Dynamics of Isotropic Homogeneous Turbulence	p. 389
Energy Cascade and Local Isotropy	p. 389
Equilibrium Spectrum	p. 389
EDQNM Modeling	p. 391
Isotropic EDQNM Model	p. 391
Cambon's Anisotropic EDQNM Model	p. 393
Bibliography	p. 397
Index	p. 423
Table of Contents provided by Publisher. All Rights Reserved.

Scientific Computation

An Introduction

At a Glance

Hardcover

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Defective items

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