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| 基于FEM／SBFEM的无穷域势流问题重叠型区域分解计算 | |
| 引用本文： | 吴泽艳,王立峰,陈莘莘,武哲.基于FEM／SBFEM的无穷域势流问题重叠型区域分解计算[J].数值计算与计算机应用,2011,32(3):229-238. |
| 作者姓名： | 吴泽艳 王立峰 陈莘莘 武哲 |
| 作者单位： | 1. 清华大学航天航空学院,北京,100084 2. 北京航空航天大学航空科学与工程学院,北京,100191 3. 湖南工业大学土木工程学院,湖南株洲,412008 4. 清华大学航天航空学院,北京100084;北京航空航天大学航空科学与工程学院,北京100191 |
| 摘 要： | 提出了一种将有限元和比例边界有限元相结合求解无穷域势流问题的算法．用两条封闭曲线将求解域划分为存在重叠的有限和无限两个区域，在有限域和无限域上分别用有限元和比例边界有限元方法求解原问题，通过重叠区域交换数据迭代计算，直至收敛．分析了重叠区域面积的大小对计算收敛速度的影响，发现随着重叠区域面积的增大迭代次数减少，收敛速度加快．数值算例显示了算法的正确性和收敛性．本算法为求解无穷域势流问题提供了一个方法． |
| 关 键 词： | 势流 有限元 比例边界有限元 区域分解 |
OVERLAPPING DOMAIN DECOMPOSITION ALGORITHM FOR POTENTIAL FLOW PROBLEMS OVER UNBOUNDED DOMAIN BASED ON FEM/SBFEM |
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| Wu Zeyan,Wang Lifeng,Chen Shenshen,Wu Zhe.OVERLAPPING DOMAIN DECOMPOSITION ALGORITHM FOR POTENTIAL FLOW PROBLEMS OVER UNBOUNDED DOMAIN BASED ON FEM/SBFEM[J].Journal on Numerical Methods and Computer Applications,2011,32(3):229-238. | |
| Authors: | Wu Zeyan Wang Lifeng Chen Shenshen Wu Zhe |
| Affiliation: | Wu Zeyan~1 Wang Lifeng~2 Chen Shenshen~3 Wu Zhe~(1,2) (1.School of Aerospace,Tsinghua University,Beijing 100084,China) (2.School of Aeronautic Science and Technology,Beijing University of Aeronautics and Astronautics,Beijing 100191,China) (3.School of Civil Engineering,Hunan University of Technology,Zhuzhou 412008,Hunan,China) |
| Abstract: | An overlapping domain decomposition algorithm for potential flow problem over an infinite domain based on finite element method and scaled boundary finite element method is presented.Two closed curves will be used to divide the domain into two parts,finite domain and infinite domain,that exist overlapping areas,and in finite domain and infinite domain,finite element method and scaled boundary finite element method is used to solve the original control equations respectively.Calculation is processed until it... |
| Keywords: | Potential Flow FEM SBFEM Domain Decomposition Algorithm |
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