The book is the only one of its kind devoted entirely to the subject of Large Eddy Simulation. It presents a comprehensive account and a unified view of this young but very rich discipline. Concentrating on incompressible fluids, the book presents both the mathematical ideas and the applications with care. The second edition, a greatly enriched version motivated by the increasing interest in LES and new applications, offers two new chapters. One treats coupling of LES with multiresolution multidomain techniques and the other new hybrid approaches that relate LES to the statistical methods based on the Reynolds Averaged Navier-Stokes equations.

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."

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.