Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge Monographs on Mechanics) | 
| Authors: Philip Holmes, John L. Lumley, Gal Berkooz
Publisher: Cambridge University Press
Category: Book
List Price: $55.00
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Sales Rank: 1029759
Media: Paperback
Number Of Items: 1
Pages: 438
Shipping Weight (lbs): 1.5
Dimensions (in): 9.1 x 6.3 x 1
ISBN: 0521634199
Dewey Decimal Number: 530
EAN: 9780521634199
ASIN: 0521634199
Publication Date: August 13, 1998
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Product Description
For turbulent flows at relatively low speeds there exists an excellent mathematical model in the incompressible Navier-Stokes equations. Why then is the "problem of turbulence" so difficult? One reason is that these nonlinear partial differential equations appear to be insoluble, except through numerical simulations, which offer useful approximations, but little direct understanding. Three recent developments offer new hope. First, the discovery by experimentalists of coherent structures in certain turbulent flows. Secondly, the suggestion that strange attractors and other ideas from finite dimensional dynamical systems theory might play a role in the analysis of the governing equations. And, finally, the introduction of the Karhunen Loeve or proper orthogonal decomposition. This book introduces these developments and describes how they may be combined to create low-dimensional models of turbulence, resolving only the coherent structures. This book will interest engineers, especially in the aerospace, chemical, civil, environmental and geophysical areas, as well as physicists and applied mathematicians concerned with turbulence.
Book Description
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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