Large Eddy Simulation for Incompressible Flows
An Introduction
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Beschreibung
The book is unique in that it is the only one of its kind devoted entirely to the subject of (large-eddy simulation). It presents a comprehensive account of the available knowledge in this field, and also the first unified view of the various existing approaches. Large-eddy simulation is the only efficient technique for approaching high Reynolds numbers when simulating industrial, natural or experimental configurations. The author concentrates on incompressible fluids. The book gives a complete account of this young but very rich discipline. The topics are well chosen and both the mathematical ideas and the applicatons are presented with care. The book addresses researchers as well as graduate students and engineers.
Still today, turbulence in fluids is considered as one of the most difficult problems of modern physics. Yet we are quite far from the complexity of microscopic molecular physics, since we only deal with Newtonian mechanics laws applied to a continuum, in which the effect of molecular fluctuations has been smoothed out and is represented by molecular-viscosity coefficients. Such a system has a dual behaviour of determinism in the Laplacian sense, and extreme sensitivity to initial conditions because of its very strong non linear character. One does not know, for instance, how to predict the critical Reynolds number of transition to turbulence in a pipe, nor how to compute precisely the drag of a car or an aircraft, even with today's largest computers. 1 We know, since the meteorologist Richardson, numerical schemes allow ing us to solve in a deterministic manner the equations of motion, starting with a given initial state and with prescribed boundary conditions. They are based on moment um and energy balances. However, such aresolution requires formidable computing power, and is only possible for low Reynolds numbers. These Direct-Numerical Simulations may involve calculating the interaction of several million interacting sites. Generally, industrial, natural, or experimental configurations involve Reynolds numbers that are far too large to allow direct simulations,2 and the only possibility then is Large Eddy Simulation, where the small-scale turbulent fluctuations are themselves smoothed out and modelled via eddy-viscosity and diffusivity assumptions.
This is the first concise textbook on Large-Eddy Simulation, a very important method in scientific computing and engineering.
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.
Autor*in
Pierre Sagaut
Themen in »Large Eddy Simulation for Incompressible Flows«
Extension Incompressible Fluids Large Eddy Simulation Scale Separation computational fluid dynamics fluid dynamics knowledge modeling scientific computing simulation
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"Falling somewhere between a textbook and a monograph, the book makes a valuable contribution to the literature on LES by collating a vast amount of material in a concise manner and by placing much of it on a sound and uniform mathematical footing. The reasons why LES is not a simple panacea, but instead is a rather challenging area for serious study, are made abundantly clear. Inevitably the book can offer no more than a snapshot of a fast-evolving field. Nevertheless it does so with commendable objectivity, and contains enough reference material to make it a necessary addition to any library on the subject." (Journal of Fluid Mechanics 51, 2004)
"[...] offers a comprehensive introduction and review of this developing subject [...] Readers have the benefit of insider comment at a high level. The author adds his own developments and makes a charming apology in the Preface for changing and reducing some original proofs. In a rapidly developing field, this is a timely book worthy of future updating editions." (Mathematical Reviews 2002f)
"An emphasis on theoretical analysis and underlying assumptions runs through the whole book, but with a keen eye on practical results, as you would expect from the French school and ONERA in particular." (Michael O'Caroll, MathSciNet on 1st edition)
"The book gives a complete account of this young but very rich discipline. The topics are well chosen and both the mathematical ideas and the applications are presented with care. The book addresses researchers as well as graduate students and engineers." (CFD Online, Oct. 21. 2002)
"Overall the book is a very relevant contribution to the field of LES and I read it with pleasure and benefit. It constitutes a worthy reference book for scientists and engineers interested in or practising LES and may serve as a textbook for a postgraduate course on the subject." (Measurement Science and Technology, 2001)
"The book can be strongly recommended to postgraduate students, researches and engineers in all fields where statistical turbulence modeling fails." (European Journal of Mechanics B, 2001)
"[…] Pierre Sagaut’s book […] is still the only available reference presenting a systematic organized discussion of the state of the art of LES. I very highly recommend it as of fundamental interest to graduate students and basic research scientists, as well as professionals involved in the design and analysis of complex turbulent flows." (Fernando F. Grinstein (U.S. Naval Research Laboratory), AIAA Journal 2005, vol. 43, page 221-222)
From the reviews of the third edition:
"The book presents a comprehensive introduction to large eddy simulation (LES) for incompressible turbulent flows. It is the third and once again enlarged edition … . it should be mentioned that the book contains an extensive bibliography with more than 800 references." (Kai Schneider, Zentralblatt MATH, Vol. 1091 (17), 2006)
"Among others, these [LES] are areas to which Sagaut and his co-workers have made significant research contributions... Thus the book... has much to offer to one of the most pressing issues of our times." (MathSciNet on 3rd edition)
"This new [3rd] edition of Pierre Sagaut's ... book is timely and extremely welcome to the fluid dynamics community." (F. Grinstein, AIAA Journal 2008 on third edition)
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