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.
Author(s): Volker John (auth.)
Series: Lecture Notes in Computational Science and Engineering 34
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2004
Language: English
Pages: 261
Tags: Computational Mathematics and Numerical Analysis; Computational Science and Engineering; Computational Intelligence; Numerical Analysis
Front Matter....Pages I-XII
Introduction....Pages 1-9
Mathematical Tools and Basic Notations....Pages 11-19
The Space Averaged Navier-Stokes Equations and the Commutation Error....Pages 21-46
LES Models Which are Based on Approximations in Wave Number Space....Pages 47-62
The Variational Formulation of the LES Models....Pages 63-71
Existence and Uniqueness of Solutions of the LES Models....Pages 73-98
Discretisation of the LES Models....Pages 99-124
Error Analysis of Finite Element Discretisations of the LES Models....Pages 125-161
The Solution of the Linear Systems....Pages 163-187
A Numerical Study of a Necessary Condition for the Acceptability of LES Models....Pages 189-198
A Numerical Study of the Approximation of Space Averaged Flow Fields by the Considered LES Models....Pages 199-239
Problems for Further Investigations....Pages 241-244
Notations....Pages 245-249
Back Matter....Pages 251-267
