Lecture Notes in Computational Science and Engineering

Analytical and Numerical Results for a Class of LES Models

By: Volker John

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Paperback | 8 October 2003

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284 Pages

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Large eddy simulation (LES) seeks to simulate the large structures of a turbulent flow. This is the first monograph which considers LES from a mathematical point of view. It concentrates on LES models for which mathematical and numerical analysis is already available and on related LES models. Most of the available analysis is given in detail, the implementation of the LES models into a finite element code is described, the efficient solution of the discrete systems is discussed and numerical studies with the considered LES models are presented.

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Non-Fiction Engineering & Technology Mechanical Engineering & Materials Materials Science Mechanics of Fluids Flow Technology in General Engineering in General Mechanical Engineering Computing & I.T.Computer Science Artificial Intelligence

Mathematics Calculus & Mathematical Analysis Numerical Analysis Applied Mathematics

Introduction	p. 1
Mathematical Tools and Basic Notations	p. 11
The Space Averaged Navier-Stokes Equations and the Commutation Error	p. 21
LES Models Which are Based on Approximations in Wave Number Space	p. 47
The Variational Formulation of the LES Models	p. 63
Existence and Uniqueness of Solutions of the LES Models	p. 73
Discretisation of the LES Models	p. 99
Error Analysis of Finite Element Discretisations of the LES Models	p. 125
The Solution of the Linear Systems	p. 163
A Numerical Study of a Necessary Condition for the Acceptability of LES Models	p. 189
A Numerical Study of the Approximation of Space Averaged Flow Fields by the Considered LES Models	p. 199
Problems for Further Investigations	p. 241
Notations	p. 245
References	p. 251
Index	p. 259
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Computational Science and Engineering

Analytical and Numerical Results for a Class of LES Models

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Paperback

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