Dynamic Multilevel Methods and the Numerical Simulation of Turbulence

Dubois, Thierry; Jauberteau, François; Temam, Roger

ISBN 10: 0521621658 / ISBN 13: 9780521621656

Published by Cambridge University Press, 1999

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Bibliographic Details

• Title: Dynamic Multilevel Methods and the Numerical Simulation of Turbulence
• Publisher: Cambridge University Press
• Publication Date: 1999
• Language: English
• ISBN 10: 0521621658
• ISBN 13: 9780521621656
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: good

About this title

Synopsis

This book describes the implementation of multilevel methods for the numerical simulation of turbulent flows. The general ideas for the algorithms presented stem from dynamical systems theory and are based on the decomposition of the unknown function into two or more arrays corresponding to different scales in the Fourier space. Before describing in detail the numerical algorithm, survey chapters on the mathematical theory of the Navier-Stokes equations and on the physics of the conventional theory of turbulence are included. The multilevel methods are applied here to the simulation of homogeneous isotropic turbulent flows as well as turbulent channel flows. The implementation issues are discussed in detail and numerical simulations of the flows cited above are presented and analyzed. The methods have been applied in the context of the direct numerical simulation and are therefore compared to such simulations.

Book Description

This book describes the implementation of multilevel methods for the numerical simulation of turbulent flows. The general ideas for the algorithms presented stem from dynamical systems theory and are based on the decomposition of the unknown function into two or more arrays corresponding to different scales in the Fourier space. Chapters also describe the mathematical theory of the Navier-Stokes equations and the physics of the conventional theory of turbulence. The implementation issues are discussed in detail and numerical simulations of the flows are presented and analyzed. The methods have been applied in the context of the direct numerical simulation and are therefore compared to such simulations.