| Stokes流问题中的辛本征解方法 |
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| 引用本文： | 徐新生,王尕平. Stokes流问题中的辛本征解方法[J]. 力学学报, 2006, 38(5): 682-687. DOI: 10.6052/0459-1879-2006-5-2005-576 |
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| 作者姓名： | 徐新生 王尕平 |
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| 作者单位： | 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;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 |
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| 基金项目： | 国家自然科学基金资助项目（10272024,50579005）. |
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| 摘 要： | 通过引入哈密顿体系，将二维Stokes流问题归结为哈密顿体系下的本征值和本征解问题. 利用辛本征解空间的完备性，建立一套封闭的求解问题方法. 研究结果表明零本征值本征解描述了基本的流动，而非零本征值本征解则显示着端部效应影响特点.数值算例给出了辛本征值和本征解的一些规律和具体例子. 这些数值例子说明了端部非规则流动的衰减规律. 为研究其它问题提供了一条路径.
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| 关 键 词： | 不可压缩 Stokes流 哈密顿体系 辛本征解 |
| 文章编号： | 0459-1879（2006）05-0682-06 |
| 收稿时间： | 2005-11-16 |
| 修稿时间： | 2006-06-02 |
A method of symplectic enginsolutions in Stokes flow |
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| Xu Xinsheng,Wang Gaping. A method of symplectic enginsolutions in Stokes flow[J]. chinese journal of theoretical and applied mechanics, 2006, 38(5): 682-687. DOI: 10.6052/0459-1879-2006-5-2005-576 |
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| Authors: | Xu Xinsheng Wang Gaping |
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| Affiliation: | State Key Laboratory of Structure Analysis of Industrial Equipment, Department of Engineering Mechanics Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In this paper, the problem of two dimensional Stokes flow is reduced to the determination of eigenvalues and eigensolutions in a Hamiltonian system. A closed method for the symplectic eigensolution is presented based on the completeness of the space of symplectic eigensolutions. The results show that basic flows can be described by eigensolutions of zero-eigenvalue and the end effects for the Stokes flow by eigensolutions of non-zero-eigenvalues. Numerical results include some examples of symplectic eigenvalues and eigensolutions, which show that the irregular flow at the ends of the pipeline is decayed. At the same time, the method can also be used for other problems. |
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| Keywords: | incompressible fluid Stokes flow Hamiltonian system symplectic eigensolution |
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