旋转流动混沌行为的全局稳定性分析及数值仿真

Abstract

Abstract: There has been a very large number of experimental and theoretical studies of flow between concentric rotating cylinders in the century, since these pioneering works, the instability of Couette flow and Taylor vortex flow, now known as the "Couette-Taylor Problem" is a paradigm of nonlinear problem. this paper will investigate the problem of some dynamical behaviors and numerical simulation of Couette-Taylor flow between two concentric rotating cylinders. Dynamical behaviors of a three-model Lorenz-like system of Couette-Taylor flow have been discussed, such as evolutionary history of bifurcation and chaos of this low-dimensional model, as well as the analysis of global stability etc.

Key words: Navier-Stokes equation, Couette-Taylor flow, Bifurcation, Chaos

CLC Number:

O175.1

Wang Heyuan, Cui Jin. The Analysis of Global Stability and Numerical Simulation of Chaos Behaviors of Rotating Flow[J].Acta mathematica scientia,Series A, 2017, 37(4): 783-792.

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References

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The Analysis of Global Stability and Numerical Simulation of Chaos Behaviors of Rotating Flow

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