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

A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations
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Year:    2012

Communications in Computational Physics, Vol. 12 (2012), Iss. 1 : pp. 315–336

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.070111.140711a

Communications in Computational Physics, Vol. 12 (2012), Iss. 1 : pp. 315–336

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:   

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