Anmerkungen:
Includes bibliographical references and index
Beschreibung:
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. TOC:Introduction.- Mathematical Tools and Basic Notations.- The Space Averaged Navier-Stokes Equations and the Commutation Error.- LES Models Which are Based on Approximations in Wave Number Space.- The Variational Formulation of the LES Models.- Existence and Uniqueness of Solutions of the LES Models.- Discretisation of the LESModels.- Error Analysis of Finite Element Discretisations of the LES Models.- The Solutionof the Linear Systems.- A Numerical Study of a Necessary Condition for the Acceptability of LES Models.- A Numerical Study of the Approximation of Space Averaged Flow Fields by the Considered LES Models.- Problems for Further Investigations.- Notations.- References.- Index