Turbulence, Coherent Structures, Dynamical Systems and Symmetry

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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.
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Editorial Reviews

From the Publisher
"The book commands an impressive bibliography of 396 references, making it an invaluable reference for any researcher who wishes to get into this area of research. The authors have done the best job possible to present this work as carefully and clearly as possible. I strongly recommend the book to everyone who wishes to master this research area, as well as everyone who wants to learn more about the proper orthogonal decomposition method. The research program detailed by the authors is a very promising approach to the problem of the coherent structures of turbulence. Active turbulence researchers, especially researchers who are mainly focused in the engineering applications of turbulence, will find this book a welcome addition to their library."
ELEFTHERIOS GKIOULEKAS, University of Texas–Pan American for SIAM News
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Product Details

  • ISBN-13: 9780521634199
  • Publisher: Cambridge University Press
  • Publication date: 8/28/1998
  • 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)

Meet the Author

Philip Holmes is Eugene Higgins Professor of Mechanical and Aerospace Engineering and Professor of Applied and Computational Mathematics, Princeton University. He works on nonlinear dynamics and differential equations.

John L. Lumley is Professor Emeritus in the Department of Mechanical and Aerospace Engineering, Cornell University. He has authored or co-authored over two hundred scientific papers and several books.

Gahl Berkooz leads the area of Information Management for Ford Motor Company, covering all aspects of Business Information Standards and Integration.

Clarence W. Rowley is an Associate Professor of Mechanical and Aerospace Engineering at Princeton University. His research interests lie at the intersection of dynamical systems, control theory and fluid mechanics.

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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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