摘要
本文讨论无界区域上理想绕流边值问题的有限元近似解。为了克服区域无界性所带来的困难,本文将传统的分析方法与有限元方法相结合,首先将问题化为一个等价的有界区域上的边值问题,然后用有限元方法求得这个等价问题的近似解。作为算例,本文计算了理想不可压缩流体的圆球绕流问题,并给出其近似解的误差分析。
This paper deals with the finite element approximation of the inviscid imcompressible flow on unbounded domains. In order to overcome the difficults caused by the unbounded domains the finite element method is combined with the classical analytical method and the equivalent boundary value problem on bounded domains is obtained, which is solved numerically by the finite element technique. As an exam-ple, the inviscid imcompressible flow around the sphere is calculated and the error estimate of the approximate solutions is given.
出处
《空气动力学学报》
CSCD
北大核心
1989年第4期449-454,共6页
Acta Aerodynamica Sinica
基金
高等学校科学技术基金
关键词
无界区域
理想绕流
混合有限元
the mixed finite elemnt method, inviscid imcompressible flow, unbounded domains.