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

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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