Beltrami流动的球涡解的张量表示及其对称性分析

基金项目: 国家重点基础研究发展规划项目“非线性科学中的若干前沿问题”专项资助项目(G2000773)

The Tensor Denotation of Beltrami Spherical Vortices and Their Symmetry Analysis

Department of Mechanics and Engineering Science, State Key Laboratory for Turbulence Research, Peking University, Beijing 100871, P R China

摘要: 讨论了一类Beltrami流动的n阶球涡(非轴对称及轴对称)的张量表示及由此引出的对其的分类和对称性的研究,还进一步地讨论了单个此类非轴对称n阶球涡解的混沌现象;从另一侧面说明了非轴对称Beltrami流动的球涡解的复杂性及多样性,以及用张量表示的更广的内涵。
- Beltrami流动 /
- 张量表示 /
- 对称性 /
- 混沌现象
Abstract: Discuss one kind of tensor denotation of nth Beltrami axisymmetric and nonaxisymmetric spherical vortices,their classification and symmetries were discussed.Chaotic phenomena will occur in the dynamic system of the nonaxisymmetric Beltrami spherical vortices.From these aspects,it is shown that the tensor denotation has more meaningful characters and nonaxisymmetric Beltrami shperical vortices are various and very complex.
- Beltrami flow /
- tensor denotation /
- symmetry /
- chaotic phenomena

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