A Coupled Legendre-Laguerre Spectral-Element Method for the Navier-Stokes Equations in Unbounded Domains

被引：18

作者：

Zhuang, Qingqu ^{[1
]}

Shen, Jie ^{[2
]}

Xu, Chuanju ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2010年 / 42卷 / 01期

关键词：

Laguerre functions; Legendre polynomials; Navier-Stokes equations; Stokes equations; Inf-sup condition; Error analysis; Spectral element; Computational fluid dynamics; INCOMPRESSIBLE FLOWS;

D O I：

10.1007/s10915-009-9313-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A coupled Legendre-Laguerre spectral element method is proposed for the Stokes and Navier-Stokes equations in unbounded domains. The method combines advantages of the high accuracy of the Laguerre-spectral method for unbounded domains and the geometric flexibility of the spectral-element method. Rigorous stability and error analysis for the Stokes problem is carried out. Numerical results indicate that the proposed method is very effective for some realistic flow problems in unbounded domains, such as flows passing a circular cylinder.

引用

页码：1 / 22

页数：22

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