不可压缩Navier-Stokes方程最优动力系统建模和分析

王金城; 齐进; 吴锤结

doi:10.21656/1000-0887.400279

不可压缩Navier-Stokes方程最优动力系统建模和分析

doi: 10.21656/1000-0887.400279

¹大连理工大学航空航天学院, 辽宁大连 116024;²北京应用物理与计算数学研究所, 北京 100088

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
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出版历程
- 收稿日期: 2019-09-06
- 修回日期: 2019-11-26
- 刊出日期: 2020-01-01

Analysis and Modelling of Optimal Dynamical Systems of Incompressible NavierStokes Equations

¹School of Aeronautics and Astronautics, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China;²Institute of Applied Physics and Computational Mathematics, Beijing 100088, P.R.China

Funds: The National Natural Science Foundation of China(11601033; 11372068); The National Basic Research Program of China(973 Program)(2014CB744104)

摘要

摘要: 研究了同时满足任意速度边界条件和速度不可压条件的Navier-Stokes方程最优动力系统的建模方法.通过对方柱绕流问题的最优动力系统的建模与分析，发现该最优动力系统的动力学特性为极限环.同时，该最优动力系统仅使用了三个最优基函数就很好地描述了所有主要的流场特征和该问题的动力学特性，故满足任意速度边界条件和速度不可压条件NavierStokes方程最优动力系统的建模方法，能够用最少的基函数最大限度地描述复杂流体问题及其动力学特性.
- 最优化 /
- 动力系统 /
- 三维不可压缩Navier-Stokes方程 /
- 动力学特性
Abstract: The modeling method for the optimal dynamical systems of NavierStokes equations satisfying both arbitrary velocity boundary conditions and velocity incompressible conditions was studied. Through the modeling and analysis of the optimal dynamical systems of the flow around the square column, it is found that the dynamics characteristics of the optimal dynamical systems are limit cycles. At the same time, the optimal dynamical system with only 3 optimal basis functions could well describe all the main flow field characteristics and the dynamics characteristics of the problem, so the proposed method is applicable to complex flow problems and their dynamics with minimal basis functions.
- optimization /
- dynamical system /
- 3D NavierStokes equation /
- dynamics characteristics

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参考文献(25)

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不可压缩Navier-Stokes方程最优动力系统建模和分析

doi: 10.21656/1000-0887.400279

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).

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Analysis and Modelling of Optimal Dynamical Systems of Incompressible NavierStokes Equations

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留言板

不可压缩Navier-Stokes方程最优动力系统建模和分析

doi: 10.21656/1000-0887.400279

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).

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出版历程

Analysis and Modelling of Optimal Dynamical Systems of Incompressible NavierStokes Equations

计量

出版历程

目录

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).