Volume 12, Issue 1
A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations

Lizhen Chen, Jie Shen & Chuanju Xu

Commun. Comput. Phys., 12 (2012), pp. 315-336.

Published online: 2012-12

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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.

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@Article{CiCP-12-315, author = {}, title = {A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {1}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.070111.140711a}, url = {http://global-sci.org/intro/article_detail/cicp/7294.html} }
TY - JOUR T1 - A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations JO - Communications in Computational Physics VL - 1 SP - 315 EP - 336 PY - 2012 DA - 2012/12 SN - 12 DO - http://doi.org/10.4208/cicp.070111.140711a UR - https://global-sci.org/intro/article_detail/cicp/7294.html KW - AB -

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.

Lizhen Chen, Jie Shen & Chuanju Xu. (2020). A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations. Communications in Computational Physics. 12 (1). 315-336. doi:10.4208/cicp.070111.140711a
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