A Fourier-Legendre spectral element method in polar coordinates

被引：11
|
作者：
Qiu, Zhouhua [1 ]
Zeng, Zhong [1 ,2 ]
Mei, Huan [1 ]
Li, Liang [1 ]
Yao, Liping [1 ]
Zhang, Liangqi [1 ]
机构：
[1] Chongqing Univ, Coll Resources & Environm Sci, Dept Engn Mech, Chongqing 400044, Peoples R China
[2] Chongqing Univ, State Key Lab Coal Mine Disaster Dynam & Control, Chongqing 400044, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2012年 / 231卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Spectral element method; Polar coordinates; Poisson-type equation; Legendre polynomials; Legendre-Gauss-Radau; Legendre-Gauss-Lobatto; GALERKIN METHODS; POISSON SOLVER; COLLOCATION; EQUATIONS;
D O I：
10.1016/j.jcp.2011.10.003
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a new Fourier-Legendre spectral element method based on the Galerkin formulation is proposed to solve the Poisson-type equations in polar coordinates. The 1/r singularity at r = 0 is avoided by using Gauss-Radau type quadrature points. In order to break the time-step restriction in the time-dependent problems, the clustering of collocation points near the pole is prevented through the technique of domain decomposition in the radial direction. A number of Poisson-type equations subject to the Dirichlet or Neumann boundary condition are computed and compared with the results in literature, which reveals a desirable result. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：666 / 675
页数：10
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