流体动力学方程的三维旋涡解的可叠加性

基金项目: 国家攀登项目;《非线性科学》和《流体与空气动力学关键基础问题研究》资助项目

Superposition About the 3D Vortex Solutions of the Fluid Dynamic Equation

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

摘要: 给出了流体动力学方程的轴对称流动的一类精确解,讨论了一些例子并综述了目前已知的基本涡元精确解。发现三维空间内的某些旋涡解可以叠加成仍然满足非线性方程的新的精确解。由此可以用来分析旋涡的产生、演化和相互作用。此外还讨论了旋涡解的对称性。
- 涡元 /
- 球涡 /
- 柱涡 /
- 可叠加性 /
- 对称性
Abstract: A class of exact general solutions of an axisymmetric flow of the fluid dynamic equations is given.Then some examples are discussed.Some vortex solutions can be superposed to give other exact solutions.It can be used to analyse the generation and evolution of the vortex ring.
- vortex elements /
- spherical vortices /
- cylindrical vortices /
- superposition /
- symmetry

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