Implicit large eddy simulation. Computing turbulent fluid dynamics.

*(English)*Zbl 1135.76001
Cambridge: Cambridge University Press (ISBN 978-0-521-86982-9/hbk). xiii, 546 p. (2007).

The book consists of four sections and eighteen chapters.

Section A contains the first two chapters, recounts the early history of implicit large eddy simulation (ILES) approach, and proposes a rationale for it. In Chapter 1, the early development of monotone integrated LES (MILES) is described, whereas in Chapter 2, the authors introduce their survey of ILES methods.

In Section B, containing chapters 3 through 6, the idea of building physics into numerical methods is developed. Chapter 3 contains overview of the world of LES. A description of methods used for ILES, such as Godunov-type and Lagrangian remap methods, is presented in Chapter 4. In Chapter 5, a framework for numerical regularization, analysis and understanding of ILES is discussed. Chapter 6 describes the approximate deconvolution technique and connects the filtering approach and the averaged-equation approach to LES.

In Section C, containing chapters 7 through 13, the authors present results aimed at verifying and validating their models by comparison with theory and experiment. In Chapter 7, an evaluation of ILES applications to canonical and simple flows is presented. Chapters 8 and 9 discuss new insights generated in ILES studies of the dynamics of high-Reynolds-number flows driven by Kelvin-Helmholtz instabilities. An application of ILES to the study of wall-bounded flows is addressed in Chapters 10 and 11. In Chapter 12, ILES based on vorticity confinement is examined, and in Chapter 13, applications of ILES to the three-dimensional simulation of Rayleigh-Taylor and Richtmyer-Meshkov mixing at high Reynolds numbers are presented.

In Section D, containing the last five chapters, the authors offer examples of more complex simulations for which there are little or no data available for validation. These are modeling of the geostrophic turbulence (Chapter 14), ILES-based studies of astrophysics (Chapter 15), application of ILES to flows around naval applications, such as submarines, aerospace applications, such as rockets (Chapter 16), and urban simulations, such as study of contaminant dispersion (Chapter 17). Finally, the outlook and open research issues are presented in Chapter 18.

Section A contains the first two chapters, recounts the early history of implicit large eddy simulation (ILES) approach, and proposes a rationale for it. In Chapter 1, the early development of monotone integrated LES (MILES) is described, whereas in Chapter 2, the authors introduce their survey of ILES methods.

In Section B, containing chapters 3 through 6, the idea of building physics into numerical methods is developed. Chapter 3 contains overview of the world of LES. A description of methods used for ILES, such as Godunov-type and Lagrangian remap methods, is presented in Chapter 4. In Chapter 5, a framework for numerical regularization, analysis and understanding of ILES is discussed. Chapter 6 describes the approximate deconvolution technique and connects the filtering approach and the averaged-equation approach to LES.

In Section C, containing chapters 7 through 13, the authors present results aimed at verifying and validating their models by comparison with theory and experiment. In Chapter 7, an evaluation of ILES applications to canonical and simple flows is presented. Chapters 8 and 9 discuss new insights generated in ILES studies of the dynamics of high-Reynolds-number flows driven by Kelvin-Helmholtz instabilities. An application of ILES to the study of wall-bounded flows is addressed in Chapters 10 and 11. In Chapter 12, ILES based on vorticity confinement is examined, and in Chapter 13, applications of ILES to the three-dimensional simulation of Rayleigh-Taylor and Richtmyer-Meshkov mixing at high Reynolds numbers are presented.

In Section D, containing the last five chapters, the authors offer examples of more complex simulations for which there are little or no data available for validation. These are modeling of the geostrophic turbulence (Chapter 14), ILES-based studies of astrophysics (Chapter 15), application of ILES to flows around naval applications, such as submarines, aerospace applications, such as rockets (Chapter 16), and urban simulations, such as study of contaminant dispersion (Chapter 17). Finally, the outlook and open research issues are presented in Chapter 18.

Reviewer: Alexander V. Gemintern (Haifa)