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| Calculation of potential flow problems over an infinite domain based on finite element methods and finite difference method of lines |
| Received:June 17, 2010 Revised:December 20, 2010 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201105018 |
| KeyWord:unbounded domain potential flow finite element methods finite difference method of lines |
| Author | Institution |
| 吴泽艳 |
清华大学 航天航空学院,北京 |
| 王立峰 |
北京航空航天大学 航空科学与工程学院,北京 |
| 武哲 |
清华大学 航天航空学院,北京 ;北京航空航天大学 航空科学与工程学院,北京 |
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| Abstract: |
| An algorithm combining finite element method and finite difference method of lines for potential flow problem over an infinite domain is presented. The solution domain is divided into two overlapping regions by two concentric circles, finite domain and infinite domain, and boundary value problems for Laplace Equation is solved by finite element method and finite difference method of lines respectively. The finite element equations amended by a relationship educed by finite difference method of lines are solved, and the numerical solutions of the original problem are obtained. By this algorithm, the potential flow problems over an infinite domain is converted into two problems, algebraic eigenvalue problem on a circle and linear equations problems on the limited domain, and the computation has been reduced. It is found that with the decrease of overlapping regions the calculation errors increases slightly. Although the algorithm is based on overlapping domain decomposition, repeated iteration is not needed, and the computing time was saved. Numerical example shows the correctness and convergence of the algorithm. |
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