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

页码：666 / 675

页数：10

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