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Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics
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Homogeneous, Isotropic Turbulence - Phenomenology, Renormalization and Statistical Closures (Hardcover)
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Homogeneous, Isotropic Turbulence - Phenomenology, Renormalization and Statistical Closures (Hardcover)
Series: International Series of Monographs on Physics, 162
Expected to ship within 10 - 15 working days
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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.
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