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Homogeneous isotropic turbulence phenomenology renormalization and statistical closures 1st Edition by David Mccomb ISBN 978-0199689385 0199689385

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Homogeneous isotropic turbulence phenomenology renormalization and statistical closures 1st Edition W. David Mccomb Digital Instant Download

Author(s): W. David McComb
ISBN(s): 9780199689385, 0199689385
Edition: 1
File Details: PDF, 2.49 MB
Year: 2014
Language: english
SKU: EB-5893100 Category: Tag:

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Product details: 

ISBN 10:  0199689385

ISBN 13: 978-0199689385

Author:  W. David Mccomb

Fluid turbulence is often referred to as `the unsolved problem of classical physics’. Yet, paradoxically, its mathematical description resembles quantum field theory. The present book addresses the idealised problem posed by homogeneous, isotropic turbulence, in order to concentrate on the fundamental aspects of the general problem. It is written from the perspective of a theoretical physicist, but is designed to be accessible to all researchers in turbulence, both theoretical and experimental, and from all disciplines. The book is in three parts, and begins with a very simple overview of the basic statistical closure problem, along with a summary of current theoretical approaches. This is followed by a precise formulation of the statistical problem, along with a complete set of mathematical tools (as needed in the rest of the book), and a summary of the generally accepted phenomenology of the subject. Part 2 deals with current issues in phenomenology, including the role of Galilean invariance, the physics of energy transfer, and the fundamental problems inherent in numerical simulation. Part 3 deals with renormalization methods, with an emphasis on the taxonomy of the subject, rather than on lengthy mathematical derivations. The book concludes with some discussion of current lines of research and is supplemented by three appendices containing detailed mathematical treatments of the effect of isotropy on correlations, the properties of Gaussian distributions, and the evaluation of coefficients in statistical theories.
 

Table of contents: 

Part I: The Fundamental Problem, the Basic Statistical Formulation, and the Phenomenology of Energy Transfer

Overview of the Statistical Problem

Basic Equations and Definitions in x-Space and k-Space

Formulation of the Statistical Problem

Turbulence Energy: Its Inertial Transfer and Dissipation

Part II: Phenomenology: Some Current Research and Unresolved Issues
5. Galilean Invariance (GI)
6. Kolmogorov’s (1941) Theory Revisited
7. Turbulence Dissipation and Decay
8. Theoretical Constraints on Mode Reduction and the Turbulence Response

Part III: Statistical Theory and Future Directions
9. The Kraichnan-Wyld-Edwards (KWE) Covariance Equations
10. Two-Point Closures: Some Basic Issues
11. Renormalization Group (RG) Applied to Turbulence
12. Work in Progress and Future Directions

Part IV: Appendices
A. Implications of Isotropy and Continuity for Correlation Tensors
B. Properties of Gaussian Distributions
C. Evaluation of the L(k; j) Coefficient

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Tags: David Mccomb, Homogeneous isotropic, turbulence phenomenology, renormalization and statistical