Homogeneous, Isotropic Turbulence: Phenomenology, Renormalization and Statistical Closures
W. David McComb
Abstract
The aim of this book is to elucidate, and help resolve, some of the outstanding issues in fundamental turbulence theory. Accordingly, it is restricted to homogeneous, isotropic turbulence (HIT). It concentrates on statistical closures and their associated phenomenology. It is in three parts and begins with a simplified overview of the application of renormalization methods to the theory of turbulence. In the interests of completeness, the first part has three further chapters which contain the basic equations and relationships which are needed for the rest of the book. Part Two deals with phen ... More
The aim of this book is to elucidate, and help resolve, some of the outstanding issues in fundamental turbulence theory. Accordingly, it is restricted to homogeneous, isotropic turbulence (HIT). It concentrates on statistical closures and their associated phenomenology. It is in three parts and begins with a simplified overview of the application of renormalization methods to the theory of turbulence. In the interests of completeness, the first part has three further chapters which contain the basic equations and relationships which are needed for the rest of the book. Part Two deals with phenomenology and covers the important topics of Galilean invariance; Kolmogorov’s theories; turbulence dissipation and decay; and constraints on mode reduction and the turbulence response. The third part introduces the Kraichnan-Wyld-Edwards covariance equations as a reformulation of the turbulence problem, followed by a chapter on using renormalized perturbation theory to determine the turbulence response. This is then followed by a chapter on renormalization group methods, and the book closes with some discussion of current work and its possible applications.
Keywords:
homogeneous,
isotropic turbulence,
closure approximations,
renormalized perturbation theory,
renormalization group,
turbulence phenomenology,
HIT
Bibliographic Information
| Print publication date: 2014 |
Print ISBN-13: 9780199689385 |
| Published to Oxford Scholarship Online: April 2014 |
DOI:10.1093/acprof:oso/9780199689385.001.0001 |
