Luigi Carlo Berselli, Traian Iliescu, William J. Layton

Mathematics of Large Eddy Simulation of Turbulent Flows (eBook, PDF)

• Format: PDF

Produktbeschreibung

This volume presents for the first time in book form the mathematical principles underlying the Large Eddy Simulation (LES) method, which is rapidly finding new practical applications in engineering. LES seeks to predict the dynamics of organized structures in turbulent flows by approximating local, spatial averages of the flow. Since its introduction in 1970, LES has matured into a highly-developed computational technology, using the tools of turbulence theory and the experience gained from practical computation. This book teaches the mathematical foundations of LES and its models and connects the powerful tools of applied mathematics, partial differential equations and LES.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 350
• Erscheinungstermin: 19. Dezember 2005
• Englisch
• ISBN-13: 9783540263173
• Artikelnr.: 37369357

Inhaltsangabe

The Navier-Stokes Equations.- Eddy Viscosity Models.- to Eddy Viscosity Models.- Improved Eddy Viscosity Models.- Uncertainties in Eddy Viscosity Models and Improved Estimates of Turbulent Flow Functionals.- Advanced Models.- Basic Criteria for Subfilter-scale Modeling.- Closure Based on Wavenumber Asymptotics.- Scale Similarity Models.- Boundary Conditions.- Filtering on Bounded Domains.- Near Wall Models in LES.- Numerical Tests.- Variational Approximation of LES Models.- Test Problems for LES.

Rezensionen

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)