1. Introduction.- 2. Formal Introduction to Scale Separation: Band-Pass Filtering.- 3. Application to Navier-Stokes Equations.- 4. Functional Modeling (Isotropic Case).- 5. Functional Modeling: Extension to Anisotropic Cases.- 6. Structural Modeling.- 7. Numerical Solution: Interpretation and Problems.- 8. Analysis and Validation of Large-Eddy Simulation Data.- 9. Boundary Conditions.- 10. Implementation.- 11. Examples of Applications.- A. Statistical and Spectral Analysis of Turbulence.- A.1 Turbulence Properties.- A.2 Foundations of the Statistical Analysis of Turbulence.- A.2.1 Motivations.- A.2.2 Statistical Average: Definition and Properties.- A.2.3 Ergodicity Principle.- A.2.4 Decomposition of a Turbulent Field.- A.2.5 Isotropic Homogeneous Turbulence.- A.3 Introduction to Spectral Analysis of the Isotropic Turbulent Fields.- A.3.1 Definitions.- A.3.2 Modal Interactions.- A.3.3 Spectral Equations.- A.4 Characteristic Scales of Turbulence.- A.5 Spectral Dynamics of Isotropic Homogeneous Turbulence.- A.5.1 Energy Cascade and Local Isotropy.- A.5.2 Equilibrium Spectrum.- B. EDQNM Modeling.- B.1 Isotropic EDQNM Model.- B.2 Cambon's Anisotropic EDQNM Model.
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."