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9781107008250

Turbulence, Coherent Structures, Dynamical Systems and Symmetry

by ; ; ;
  • ISBN13:

    9781107008250

  • ISBN10:

    1107008255

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2012-03-26
  • Publisher: Cambridge Univ Pr

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Summary

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.

Table of Contents

Turbulence
Introduction
Coherent structures
Proper orthogonal decomposition
Galerkin projection
Balanced proper orthogonal decomposition
Dynamical Systems
Qualitative theory
Symmetry
One-dimensional 'turbulence'
Randomly-perturbed systems
The Boundary Layer
Low-dimensional models
Behaviour of the models
Other Applications and Related Work
Some other fluid problems
Review: prospects for rigor
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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