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**Large eddy simulation for incompressible flows. An introduction. Translated from the 1998 French original. With a foreword by Massimo Germano.**
*(English)*
Zbl 1020.76001

Scientific Computation. Berlin: Springer. xxii, 426 p. (2002).

The book presents an introduction to large eddy simulation (LES) for incompressible turbulent flows. It is the second and enlarged edition of the French version of the book, originally published in 1998 [for the review see Zbl 0927.76001]. After a short introduction to computational fluid dynamics and to the encountered difficulties in numerical simulation of turbulent flows, an overview of typically used turbulence models is given. The following chapter 2 defines and discusses the properties of filtering in space and time, illustrated by several examples which constitutes the foundations of LES. In chapter 3 the governing equations for LES are derived by applying the previously introduced low-pass filters to incompressible Navier-Stokes equations in physical and spectral space, and also in general coordinates. Subsequently, the author gives a classification of the employed subgrid scale models into functional and structural ones, together with a discussion of their advantages and disadvantages. Practical questions of coupling LES with numerical techniques, and the analysis and evaluation of numerical results obtained with LES are presented from theoretical and practical point of view. One chapter is devoted to the difficult question of modelling boundary conditions.

The following two chapters, which have been newly included in this second edition, deal with the coupling of LES with multiresolution and multidomain techniques, and also with recently introduced hybrid approaches that relate LES to classical statistical methods based on the Reynolds averaged Navier-Stokes equations. The implementation of different LES techniques is discussed in some detail, and numerous examples of applications are presented. Two annexes present some basics on turbulence and its statistical and spectral analyses, followed by a brief description of EDQNM model for isotropic and anisotropic flows. The book contains an extensive bibliography with more than 500 references.

The following two chapters, which have been newly included in this second edition, deal with the coupling of LES with multiresolution and multidomain techniques, and also with recently introduced hybrid approaches that relate LES to classical statistical methods based on the Reynolds averaged Navier-Stokes equations. The implementation of different LES techniques is discussed in some detail, and numerous examples of applications are presented. Two annexes present some basics on turbulence and its statistical and spectral analyses, followed by a brief description of EDQNM model for isotropic and anisotropic flows. The book contains an extensive bibliography with more than 500 references.

Reviewer: Kai Schneider (Marseille)

### MSC:

76-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to fluid mechanics |

76F65 | Direct numerical and large eddy simulation of turbulence |

76D05 | Navier-Stokes equations for incompressible viscous fluids |

76F05 | Isotropic turbulence; homogeneous turbulence |

76M25 | Other numerical methods (fluid mechanics) (MSC2010) |