Turbulence, Coherent Structures, Dynamical Systems and Symmetry

Turbulence, Coherent Structures, Dynamical Systems and Symmetry

by Philip Holmes, John L. Lumley, Gal Berkooz
     
 

Turbulence has fascinated mankind and frustrated scientists for over 500 years. This book offers a new approach to the modelling and analysis of turbulent flows dominated by coherent structures, the concentrated and recurrent patterns of vorticity seen in aircraft contrails, eddies behind bridge piers, and the wakes of moving cars and boats. Using techniques from… See more details below

Overview

Turbulence has fascinated mankind and frustrated scientists for over 500 years. This book offers a new approach to the modelling and analysis of turbulent flows dominated by coherent structures, the concentrated and recurrent patterns of vorticity seen in aircraft contrails, eddies behind bridge piers, and the wakes of moving cars and boats. Using techniques from probability theory and nonlinear dynamics, the authors show how the governing nonlinear equations of fluid mechanics may be reduced to simpler models which provide understanding of the basic mechanisms of turbulence generation.

Product Details

ISBN-13:
9780521634199
Publisher:
Cambridge University Press
Publication date:
07/28/1998
Series:
Cambridge Monographs on Mechanics Series
Edition description:
New Edition
Pages:
440
Product dimensions:
5.98(w) x 8.98(h) x 0.91(d)

Table of Contents

Part I. Turbulence: 1. Introduction; 2. Coherent structures; 3. Proper orthogonal decomposition; 4. Galerkin projection; 5. Balanced proper orthogonal decomposition; Part II. Dynamical Systems: 6. Qualitative theory; 7. Symmetry; 8. One-dimensional 'turbulence'; 9. Randomly-perturbed systems; Part III. The Boundary Layer: 10. Low-dimensional models; 11. Behaviour of the models; Part IV. Other Applications and Related Work: 12. Some other fluid problems; 13. Review: prospects for rigor; Index.

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