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旋转叶轮内完全三元不可压缩流动变域变分有限元解
引用本文:许建林.旋转叶轮内完全三元不可压缩流动变域变分有限元解[J].兰州理工大学学报,1988(3).
作者姓名:许建林
作者单位:甘肃工业大学机械工程二系
摘    要:本文在文献〔1,2〕的基础上,提出了能具体实现泛函变域变分的有限元新解法。该方法能自动地、准确地确定求解域的未知界面,使其作为解的一部分。以文献〔3〕中的径向式叶轮作为算例,进行了数值计算,求解出了满足界面条件的流场的速度和压力分布以及自由尾涡面的形状位置。计算结果与实验值吻合得较好。

关 键 词:叶轮机械气动计算  叶轮机械变分原理  流体有限元  全三元流

Variational FEM with Variable Domain for Solving Problem of Fully 3-D Incompressible Rotor-Flow
Xu Jianlin Second.Variational FEM with Variable Domain for Solving Problem of Fully 3-D Incompressible Rotor-Flow[J].Journal of Lanzhou University of Technology,1988(3).
Authors:Xu Jianlin Second
Institution:Xu Jianlin Second Department of Mechanical Engineering
Abstract:Based on the papers 1 , 2 ] , a new finite element method ( FEM ) realizing functional variation with variable domain is suggested in this paper. This method can automatically and precisely determine unknown boundaries for solving domain and make them a part of equations'solution. Taking a centrifugal impeller in 3 ] as an example, the problem is solved using this method. Velocity and pressure distributions which meet boundary conditions are given and compared with the experimental data. The shape and position of trailing vortex sheets followed the blades are determined.
Keywords:aerodynamic calculation of turbomachineries  veriational principle for turbomachineries  finite element method in fluid mechanics  fullg 3 -D flows
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