Mathematics of Large Eddy Simulation of Turbulent Flows

AvLuigi Carlo Berselli,Traian Iliescu

Inbunden, Engelska, 2005

Del i serien Scientific Computation

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Beskrivning

It uses the tools of turbulence theory and the experience gained from practical computation.This book focuses on the mathematical foundations of LES and its models and provides a connection between the powerful tools of applied mathematics, partial differential equations and LES.

Produktinformation

Utgivningsdatum:2005-10-20
Mått:155 x 235 x undefined mm
Format:Inbunden
Språk:Engelska
Serie:Scientific Computation
Antal sidor:350
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540263166

Utforska kategorier

Maskinteknik och material inom Naturvetenskap och teknik

Recensioner i media

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)

Innehållsförteckning

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.