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用Galerkin法解二维不可压无旋流问题
引用本文:郑百哲,李翠萍,班良,刘淑荷.用Galerkin法解二维不可压无旋流问题[J].北京工商大学学报(自然科学版),1988(1).
作者姓名:郑百哲  李翠萍  班良  刘淑荷
作者单位:北京轻工业学院,北京农业工程大学,北京建筑工程学院,浙江省浦江水电局
摘    要:本文对于二维不可压无旋流问题,采用了Galerkin法求数值解。文中分别选速度势和流函数作为试函数。本文同时给出了用直接配点法和最小二乘配点法的计算结果,并将这些结果与T.J.Chung《Finite Element in Fluid Dynamics》一文中C=∞时的半解析解进行了比较。计算中采用Simpson积分子程序和Gauss消元法。

关 键 词:Galerkin法  势函数  流函数  无旋流  试函数

GALERKIN METHOD IN THE PROBLEM OF TWO-DIMENSIONAL IMCOMPRESSIBLE IRROTATIONAL FLOW
Zheng Baizhe.GALERKIN METHOD IN THE PROBLEM OF TWO-DIMENSIONAL IMCOMPRESSIBLE IRROTATIONAL FLOW[J].Journal of Beijing Technology and Business University:Natural Science Edition,1988(1).
Authors:Zheng Baizhe
Institution:Zheng Baizhe (Beijing institute of Light Industry) Li Cuiping (beijing Agriculture Engineering University) Ban Liang (Beijing Institute of Architecture and Civil Engineering) Liu Shuhe (Zhe Jiang Pu Kiang Water Conservacy-Electric Power Bureau)
Abstract:In this paper, Galerkin method is used to solve the problem of two-dimensional imeompressihle irrotational flow. The velocity potential and stream function are selected as trial functions. In the meantime, comparative studies are made, between the results of this and least-square collocation method and the half-analytical solution when c=given in "Finite Element in Fluid Dynemics"
Keywords:galeskiu method  velocity potential  stream function  irrotational flow  trial function
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