Nonlinear, Nonlocal and Fractional Turbulence - Alternative Recipes for the Modeling of Turbulence (Hardcover, 1st ed. 2020)

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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Release date:	April 2020
First published:	2020
Authors:	Peter William Egolf • Kolumban Hutter
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	445
Edition:	1st ed. 2020
ISBN-13:	978-3-03-026032-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Thermodynamics Books > Earth & environment > Earth sciences > The hydrosphere > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of fluids > General Promotions
LSN:	3-03-026032-1
Barcode:	9783030260323

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