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

Published online by Cambridge University Press:  20 August 2015

Lizhen Chen,
Jie Shen and
Chuanju Xu
Lizhen Chen*
Affiliation:
School of Mathematical Sciences, Xiamen University, 361005 Xiamen, China
Jie Shen*
Affiliation:
School of Mathematical Sciences, Xiamen University, 361005 Xiamen, ChinaDepartment of Mathematics, Purdue University, West Lafayette, IN, 47907, USA
Chuanju Xu*
Affiliation:
School of Mathematical Sciences, Xiamen University, 361005 Xiamen, China
*
Email:xunyicao2009@yeah.net
Email:shen7@purdue.edu
Corresponding author.Email:cjxu@xmu.edu.en
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Abstract

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.

Keywords

65N3565N2265F0535J05Navier-Stokes equationsunstructured meshtriangular spectral element method

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 1 , July 2012, pp. 315 - 336
Copyright
Copyright © Global Science Press Limited 2012

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