Mathematics of Large Eddy Simulation of Turbulent Flows

From the reviews:

"This comprehensive book is the only one of its kind devoted entirely to the mathematical foundations of LES and its models. It collects together some of the fundamental ideas and results scattered throughout the LES literature and embeds them in a homogeneous and rigorous mathematical framework. … it is well documented and referenced. … This book will be very useful for Ph. D. students in computational mathematics and applied mathematicians … ." (Bertrand Michaux, Mathematical Reviews, Issue 2006 h)

"According to the authors, ‘Large eddy simulation, LES, is about approximating local, spatial averages of turbulent flows’. … The authors accomplish this aim with a reasonable balance between the physics of fluids and the mathematical theory of Navier-Stokes equations. … a large variety of numerical simulations are carried out. The book addresses to graduate students as well as to a broad class of researchers … . It is elegantly structured with clear and precise statements, and the graphical material is suggestive." (Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. 1089 (15), 2006)

"The authors of the book under review are a particular successful group of mathematicians addressing this task, and they never lose sight of the application and the empirical LES modelling. … In conclusion, the authors have written a book which provides a mathematical background on current large-eddy-simulation modelling approaches. … a researcher on LES model development will find a wealth of useful information." (Nikolaus Adams, Journal of Fluid Mechanics, Vol. 582, 2007)