書目名稱 | Nonlinear, Nonlocal and Fractional Turbulence | 副標(biāo)題 | Alternative Recipes | 編輯 | Peter William Egolf,Kolumban Hutter | 視頻video | http://file.papertrans.cn/668/667782/667782.mp4 | 概述 | Written by experts in the field, it provides analytical and numerical solutions of nonlocal turbulent flow problems based on the authors‘ scientific research work.Gives recipes for generalizing local | 圖書封面 |  | 描述 | .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 (Lévy flights), fractal geometry (fractal-.β., 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 physic | 出版日期 | Book 2020 | 關(guān)鍵詞 | Anomalous diffusion; Lévy flights; Fractal-beta model; Kolmogorov‘s and Kraichnan‘s energy spectra; Non- | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-26033-0 | isbn_ebook | 978-3-030-26033-0 | copyright | Springer Nature Switzerland AG 2020 |
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