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Nonlinear, Nonlocal and Fractional Turbulence - Alternative Recipes for the Modeling of Turbulence (Hardcover, 1st ed. 2020)
Loot Price: R3,925
Discovery Miles 39 250
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Nonlinear, Nonlocal and Fractional Turbulence - Alternative Recipes for the Modeling of Turbulence (Hardcover, 1st ed. 2020)
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Experts of fluid dynamics agree that turbulence is nonlinear and
nonlocal. Because of a direct correspondence, nonlocality also
implies fractionality. Fractional dynamics is the physics related
to fractal (geometrical) systems and is described by fractional
calculus. Up-to-present, numerous criticisms of linear and local
theories of turbulence have been published. Nonlinearity has
established itself quite well, but so far only a very small number
of general nonlocal concepts and no concrete nonlocal turbulent
flow solutions were available. This book presents the first
analytical and numerical solutions of elementary turbulent flow
problems, mainly based on a nonlocal closure. Considerations
involve anomalous diffusion (Levy flights), fractal geometry
(fractal- , bi-fractal and multi-fractal model) and fractional
dynamics. Examples include a new 'law of the wall' and a
generalization of Kraichnan's energy-enstrophy spectrum that is in
harmony with non-extensive and non-equilibrium thermodynamics
(Tsallis thermodynamics) and experiments. Furthermore, the
presented theories of turbulence reveal critical and cooperative
phenomena in analogy with phase transitions in other physical
systems, e.g., binary fluids, para-ferromagnetic materials, etc.;
the two phases of turbulence identifying the laminar streaks and
coherent vorticity-rich structures. This book is intended, apart
from fluids specialists, for researchers in physics, as well as
applied and numerical mathematics, who would like to acquire
knowledge about alternative approaches involved in the analytical
and numerical treatment of turbulence.
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