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.
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 converges by exchanging data between two difference regions. The influence of the overlapping areas on the convergence speed is analyzed, and it is found that with the increase of overlapping regions the number of iterations reduces, and the convergence is accelerated. Numerical example shows the correctness and convergence of the algorithm. The algorithm provides a good solution for potential flow problems in an infinite domain.
出处
《数值计算与计算机应用》
CSCD
北大核心
2011年第3期229-238,共10页
Journal on Numerical Methods and Computer Applications
