
Large Eddy Simulation for Incompressible Flows
An Introduction
By: Charles Meneveau (Foreword by), P. Sagaut
Hardcover | 20 September 2005 | Edition Number 3
At a Glance
592 Pages
Revised
23.5 x 15.88 x 3.81
Hardcover
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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.
| 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. |
ISBN: 9783540263449
ISBN-10: 3540263446
Series: Scientific Computation
Published: 20th September 2005
Format: Hardcover
Language: English
Number of Pages: 592
Audience: Professional and Scholarly
Publisher: Springer Nature B.V.
Country of Publication: DE
Edition Number: 3
Edition Type: Revised
Dimensions (cm): 23.5 x 15.88 x 3.81
Weight (kg): 0.96
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