| 空腔内粘性流问题与哈密顿体系方法 |
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| 引用本文： | 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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| 作者姓名： | 王尕平 徐新生 孙发明 张维祥 |
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| 作者单位： | 1. 大连理工大学,工程力学系,工业装备结构分析国家重点实验室,大连,116024
2. 河南工业大学,土木建筑学院,郑州,450052 |
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| 基金项目： | 国家重点基础研究发展规划(973计划) |
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| 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.
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| 关 键 词： | 空腔 粘性流 哈密顿体系 |
| 收稿时间： | 2006-04-26 |
A method of Hamiltonian system for viscous fluid in lid-driven cavities |
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| WANG Ga-ping,XU Xin-sheng,SUN Fa-ming and ZHANG Wei-xiang. A method of Hamiltonian system for viscous fluid in lid-driven cavities[J]. Chinese Journal of Computational Mechanics, 2009, 26(1): 40-45 |
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| Authors: | WANG Ga-ping XU Xin-sheng SUN Fa-ming ZHANG Wei-xiang |
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| Affiliation: | 1.State Key Laboratory of Structure Analysis of Industrial Equipment;Department of Engineering Mechanics;Dalian University of Technology;Dalian 116024;China;2.School of Civil Engineering and Architecture;Henan University of Technology;Zhengzhou 450052;China |
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| Abstract: | 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 investigat... |
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| Keywords: | viscous fluid cavity Hamiltonian system |
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