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含压力基Navier-Stokes方程最优动力系统建模和分析

王金城 齐进 吴锤结

王金城, 齐进, 吴锤结. 含压力基Navier-Stokes方程最优动力系统建模和分析[J]. 应用数学和力学, 2020, 41(8): 817-833. doi: 10.21656/1000-0887.400276
引用本文: 王金城, 齐进, 吴锤结. 含压力基Navier-Stokes方程最优动力系统建模和分析[J]. 应用数学和力学, 2020, 41(8): 817-833. doi: 10.21656/1000-0887.400276
WANG Jincheng, QI Jin, WU Chuijie. Modelling and Analysis of Optimal Dynamical Systems of Incompressible Navier-Stokes Equations With Pressure Base Functions[J]. Applied Mathematics and Mechanics, 2020, 41(8): 817-833. doi: 10.21656/1000-0887.400276
Citation: WANG Jincheng, QI Jin, WU Chuijie. Modelling and Analysis of Optimal Dynamical Systems of Incompressible Navier-Stokes Equations With Pressure Base Functions[J]. Applied Mathematics and Mechanics, 2020, 41(8): 817-833. doi: 10.21656/1000-0887.400276

含压力基Navier-Stokes方程最优动力系统建模和分析

doi: 10.21656/1000-0887.400276
基金项目: 国家自然科学基金(11601033;11372068);国家重点基础研究发展计划(973计划)(2014CB744104)
详细信息
    作者简介:

    王金城(1994—),男,硕士生(E-mail: jcwangdut@foxmail.com);齐进(1977—),女,副研究员(E-mail: qi_jin@iapcm.ac.cn);吴锤结(1955—),男,教授(通讯作者. E-mail: cjwudut@dlut.edu.cn).

  • 中图分类号: O357.41

Modelling and Analysis of Optimal Dynamical Systems of Incompressible Navier-Stokes Equations With Pressure Base Functions

Funds: The National Natural Science Foundation of China(11601033; 11372068);The National Basic Research Program of China (973 Program)(2014CB744104)
  • 摘要: 研究了采用压力基函数和速度基函数的Navier-Stokes方程的最优截断低维动力系统建模理论.在黏性不可压缩流体中模拟了并排三方柱绕流流场,对此流场进行了含压力基函数和速度基函数的Navier-Stokes方程的最优动力系统建模,并以此为工具分析了三方柱绕流最优动力系统的动力学特性.得到了如下结论:三方柱绕流的最优动力系统的动力学行为为混沌,它与双方柱绕流场的极限环动力学特性有着本质的区别,因此可以通过多柱绕流增进尾流的复杂性,从而促进流体混合.
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    [7] 王金城, 齐进, 吴锤结. Navier-Stokes方程的脉动速度方程的最优动力系统建模和动力学分析[J]. 应用数学和力学, 2020,41(3): 235-249.(WANG Jincheng, QI Jin, WU Chuijie. Dynamics analysis and modelling of optimal dynamical systems of the fluctuation velocity equations of incompressible Navier-Stokes equations[J]. Applied Mathematics and Mechanics,2020,41(3): 235-249.(in Chinese))
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出版历程
  • 收稿日期:  2019-09-06
  • 修回日期:  2020-03-04
  • 刊出日期:  2020-08-01

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