Turbulence, Coherent Structures, Dynamical Systems...

Description

Title: Turbulence, Coherent Structures, Dynamical Systems and Symmetry
Description:
(Cambridge Monographs on Mechanics)
Pages: 438

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 Love 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.

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1. Ebooks list page : 527
2. Turbulence, Coherent Structures, Dynamical Systems and Symmetry: Philip Holmes, John L Lumley, Gal Berkooz
3. Turbulence And Coherent Structures in Fluids, Plasmas And Nonlinear Medium (World Scientific Lecture Notes in Complex Systems)
4. Mesoscale/Synoptic Coherent Structures in Geophysical Turbulence: Proceedings (Elsevier Oceanography Series)
5. Dynamical Systems VII: Integrable Systems. Nonholonomic Dynamical Systems (Encyclopaedia of Mathematical Sciences)
6. Dynamical Systems I: Ordinary Differential Equations and Smooth Dynamical Systems
7. IUTAM Symposium on Elementary Vortices and Coherent Structures
8. Coherent Dynamics of Complex Quantum Systems
9. Coherent.Systems.(Studies.in.Logic.and.Practical.Reasoning)
10. Coherent Systems, Volume 2 (Studies in Logic and Practical Reasoning)
11. Distributed Embedded Control Systems: Improving Dependability with Coherent Design
12. Advances in Turbulence XII: Proceedings of the 12th EUROMECH European Turbulence Conference
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14. Progress in Turbulence II: Proceedings of the iTi Conference in Turbulence 2005
15. Stability of Dynamical Systems: Continuous, Discontinuous, and Discrete Systems
16. Kolmogorov spectra of turbulence 1. Wave turbulence