Turbulence, Coherent Structures, Dynamical Systems and Symmetry
2nd Edition
Published on 23. February 2012
Book
Hardback
402 pages
978-1-107-00825-0 (ISBN)
Description
Turbulence pervades our world, from weather patterns to the air entering our lungs. This book describes methods that reveal its structures and dynamics. Building on the existence of coherent structures - recurrent patterns - in turbulent flows, it describes mathematical methods that reduce the governing (Navier-Stokes) equations to simpler forms that can be understood more easily. This second edition contains a new chapter on the balanced proper orthogonal decomposition: a method derived from control theory that is especially useful for flows equipped with sensors and actuators. It also reviews relevant work carried out since 1995. The book is ideal for engineering, physical science and mathematics researchers working in fluid dynamics and other areas in which coherent patterns emerge.
Reviews / Votes
'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, SIAM NewsMore details
Series
Edition
2nd Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Edition type
Revised edition
Illustrations
110 Line drawings, unspecified
Dimensions
Height: 250 mm
Width: 175 mm
Thickness: 26 mm
Weight
874 gr
ISBN-13
978-1-107-00825-0 (9781107008250)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Philip Holmes | John L. Lumley | Gahl Berkooz
Turbulence, Coherent Structures, Dynamical Systems and Symmetry
E-Book
03/2012
2nd Edition
Cambridge University Press
€73.99
Available for download
Previous edition
Philip Holmes | John L. Lumley | Gal Berkooz
Turbulence, Coherent Structures, Dynamical Systems and Symmetry
Book
07/1998
Cambridge University Press
€48.27
Article exhausted; check for reprint
Persons
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.
Content
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.