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| A method of Hamiltonian system for viscous fluid in lid-driven cavities |
| Received:April 26, 2006 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20091007 |
| KeyWord:viscous fluid cavity Hamiltonian system |
| Author | Institution |
| 王尕平 |
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 |
| 徐新生 |
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 |
| 孙发明 |
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 |
| 张维祥 |
河南工业大学 土木建筑学院,郑州 |
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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 investigating other problems. |
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