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旋转流动的低模分析及仿真研究

王贺元 崔进

王贺元, 崔进. 旋转流动的低模分析及仿真研究[J]. 应用数学和力学, 2017, 38(7): 794-806. doi: 10.21656/1000-0887.360342
引用本文: 王贺元, 崔进. 旋转流动的低模分析及仿真研究[J]. 应用数学和力学, 2017, 38(7): 794-806. doi: 10.21656/1000-0887.360342
WANG He-yuan, CUI Jin. Low-Dimensional Analysis and Numerical Simulation of Rotating Flow[J]. Applied Mathematics and Mechanics, 2017, 38(7): 794-806. doi: 10.21656/1000-0887.360342
Citation: WANG He-yuan, CUI Jin. Low-Dimensional Analysis and Numerical Simulation of Rotating Flow[J]. Applied Mathematics and Mechanics, 2017, 38(7): 794-806. doi: 10.21656/1000-0887.360342

旋转流动的低模分析及仿真研究

doi: 10.21656/1000-0887.360342
基金项目: 国家自然科学基金(11572146;11526105)
详细信息
    作者简介:

    王贺元(1963—),男,博士(通讯作者. E-mail: wangheyuan6400@sina.com);崔进(1987—),女,硕士(E-mail: cuij@sina.com).

  • 中图分类号: O175.1;O192;O193

Low-Dimensional Analysis and Numerical Simulation of Rotating Flow

Funds: The National Natural Science Foundation of China(11572146;11526105)
  • 摘要: 为了探讨Couette-Taylor流从层流到湍流过渡的方式以及流动发展到湍流之后混沌吸引子的某些特征等问题,采用低模分析方法研究了Couette-Taylor流的部分动力学行为及仿真问题,讨论了Couette-Taylor流三模态类Lorenz型方程组的动力学行为,包括定态的失稳、极限环的出现、分岔与混沌的演变和全局稳定性分析等。通过线性稳定性分析和数值模拟等方法给出了此三维模型分岔与混沌等动力学行为及其演化历程,并借此解释了Couette-Taylor流试验中观察到的部分涡流的演化过程.基于系统的分岔图、Lyapunov指数谱、功率谱、Poincaré(庞加莱)截面和返回映射等揭示了系统混沌行为的普适特征.
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出版历程
  • 收稿日期:  2015-12-10
  • 修回日期:  2017-05-24
  • 刊出日期:  2017-07-15

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