| 王尕平,徐新生,孙发明,张维祥.空腔内粘性流问题与哈密顿体系方法[J].计算力学学报,2009,26(1):40~45 |
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| 空腔内粘性流问题与哈密顿体系方法 |
| A method of Hamiltonian system for viscous fluid in lid-driven cavities |
| 投稿时间：2006-04-26 |
| DOI：10.7511/jslx20091007 |
| 中文关键词: 空腔 粘性流 哈密顿体系 |
| 英文关键词:viscous fluid cavity Hamiltonian system |
| 基金项目:国家973项目(2009CB724302)资助项目. |
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| 摘要点击次数: 1392 |
| 全文下载次数: 1712 |
| 中文摘要: |
| 以双板驱动空腔粘性流问题为研究对象,根据其特点建立了哈密顿体系下的对偶正则方程,将问题归结为辛体系下的本征值问题。利用辛本征解空间的完备性、正交性和展开理论,形成一套封闭的求解问题方法。算例的数值结果揭示了一些空腔流动的特点。同时这种方法也为研究其他问题提供了一条思路。 |
| 英文摘要: |
| This paper discusses viscous flows in Lid-driven cavities. Dual equations in Hamiltonian system are obttained and the original problem is reduced to the determination of eigenvalues and eigensolutions in the symplectic space. Because of the complete space of eigensolutions, adjoint relationships of symplectic ortho-normalization and expansion theory, a method is presented and the solution is closed. Some examples are given and show some characteristics in cavities. The method can provide a new idea for investigating other problems. |
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