A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations

被引：14

作者：

Chen, Lizhen ^{[1
]}

Shen, Jie ^{[1
,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：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2012年 / 12卷 / 01期

关键词：

Navier-Stokes equations; unstructured mesh; triangular spectral element method; INTERPOLATION; TRIANGLE; FLOW;

D O I：

10.4208/cicp.070111.140711a

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An unstructured nodal spectral-element method for the Navier-Stokes equations is developed in this paper. The method is based on a triangular and tetrahedral rational approximation and an easy-to-implement nodal basis which fully enjoys the tensorial product property. It allows arbitrary triangular and tetrahedral mesh, affording greater flexibility in handling complex domains while maintaining all essential features of the usual spectral-element method. The details of the implementation and some numerical examples are provided to validate the efficiency and flexibility of the proposed method.

引用

页码：315 / 336

页数：22

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