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Titlebook: Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics; Alexander Gelfgat Book 2019 Springer International Publishing

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书目名称Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics
编辑Alexander Gelfgat
视频video
概述Presents the first collection of modern approaches to 3D fluid dynamics stability problems.Provides descriptions of the challenging problems being solved nowadays.Relevant to a wide spectrum of discip
丛书名称Computational Methods in Applied Sciences
图书封面Titlebook: Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics;  Alexander Gelfgat Book 2019 Springer International Publishing
描述.Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.  .
出版日期Book 2019
关键词Computational fluid dynamics; Bifurcations and stability theory; Solution branching; Solution path foll
版次1
doihttps://doi.org/10.1007/978-3-319-91494-7
isbn_softcover978-3-030-08260-4
isbn_ebook978-3-319-91494-7Series ISSN 1871-3033 Series E-ISSN 2543-0203
issn_series 1871-3033
copyrightSpringer International Publishing AG, part of Springer Nature 2019
The information of publication is updating

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Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics978-3-319-91494-7Series ISSN 1871-3033 Series E-ISSN 2543-0203
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https://doi.org/10.1007/978-981-10-0527-5tion-theoretic explanation for the origin of the observed states. In turbulent wall-bounded shear flows, these states have been hypothesized to be saddle points organizing the trajectories within a chaotic attractor. These states must be computed with Newton’s method or one of its generalizations, s
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Yukawa Couplings Between (2, 1)-Forms,equations around its fixed point in a frequency domain formulation. While the most amplified stability eigenmode is readily identified by a power method, the technical challenge is the computation of more damped higher-order eigenmodes. This challenge is addressed by a novel method to compute unstab
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https://doi.org/10.1007/978-981-99-4649-5lysis. The bifurcation points on the branches of solutions are determined with precision by calculating their spectra for a large range of Rayleigh numbers. It will be seen that continuation and stability methods are a powerful tool to analyze the origin of the hydrodynamic instabilities leading to
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