Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge Monographs on Mechanics)
Editorial Reviews
Review
'This book is an important contribution from a stable with a distinguished reputation and an impressive publications record ... The text is lucid in style, and there is a useful section on notation and mathematical jargon that will be welcome to many readers. The book is highly recommended to anyone working in or embarking on research in this field.' R. H. Barnard, The Aeronautical Journal
'... exceptionally clearly laid out ... in an exemplary writing style that belies the great difficulty of the task being attempted.' Robert Matthews, New Scientist
'... a worthwhile introduction to an important direction for understanding turbulence.' Howell Peregrine, Mathematics Today
Book 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 Loève 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.
Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge Monographs on Mechanics),Philip Holmes,John L. Lumley,Gal Berkooz,M. J. Ablowitz,S. H. Davis,E. J. Hinch,A. Iserles,J. Ockendon,P. J. Olver,Cambridge University Press,0521634199,Engineering - Mechanical,Hydraulics,Mechanics - General,Physics,Science,Science/Mathematics,Fluid mechanics,Science / General
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