Numerical techniques for direct and large eddy simulations. (English) Zbl 1185.76003

Chapman & Hall/CRC Numerical Analysis and Scientific Computing. Boca Raton, FL: CRC Press (ISBN 978-1-4200-7578-6/hbk; 978-1-138-11383-1/pbk; 978-1-4200-7579-3/ebook). xviii, 264 p. (2009).
The book is a lecture material for postgraduate students and a reference source for scientists and engineers interested in advanced numerical simulations of flow problems and in the associated numerical methods. The main themes of the book are numerical problems arising from applications of direct numerical simulation (DNS) and large eddy simulation (LES). LES is based on Kolmogorov’s theory of turbulence that makes the assumption that large eddies of the flow are dependent on the flow geometry, whereas smaller eddies are self-similar and have a universal character. DNS captures all relevant scales of turbulent motion, using high-resolution numerical methods.
The first chapter presents introductory notions (governing equations, turbulence, DNS and LES). Chapter 2 deals with the numerical treatment of boundary conditions. Chapter 3 is devoted to discrete time integration methods. In chapters 4 and 5 the authors present the DNS of incompressible and compressible flows. Chapters 6 and 7 are devoted to LES of incompressible and compressible flows. Finally, chapter 8 describes multiscale flow simulations, challenges in DNS and LES (complex geometry and subgrid scale modeling) and detached eddy simulation. An appendix gives Fortran 90 routines for finite difference schemes.
In comparison to traditional CFD, DNS and LES offer much enhanced capabilities in predicting the unsteady features of the flow field, such as vortical structures, and provide very detailed solutions of the flow field that can be used not only to obtain a better understanding but also to develop models for mixing and turbulence. In numerous cases, DNS may generate results that are not possible by using other means, while LES is being adopted by industry as an advanced tool for practical applications. The book covers the basic techniques for DNS and LES that can be applied to practical problems in turbulence and combustion.
The book can be recommended to CFD practitioners at the early stage of their academic career, such as postgraduate students and junior researchers, to understand the vast literature in the field and to apply the relevant numerical techniques. The senior researchers interested in more detailed and in-depth information, must find the most explicit references in the field.


76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
76F65 Direct numerical and large eddy simulation of turbulence
76M20 Finite difference methods applied to problems in fluid mechanics


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