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

作　　者：Lizhen Chen Jie Shen Chuanju Xu 

机构地区：[1]School of Mathematical Sciences,Xiamen University,361005 Xiamen,China [2]Department of Mathematics,Purdue University,West Lafayette,IN,47907,USA

出　　处：《Communications in Computational Physics》2012年第6期315-336,共22页计算物理通讯（英文）

基　　金：The work of the second author is partially supported by NFS grant DMS-0610646;The research of the third author was partially supported by National NSF of China(Grant number 11071203).

摘　　要：An unstructured nodal spectral-elementmethod for theNavier-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 tetrahedralmesh,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.

关 键 词：Navier-Stokes equations unstructured mesh triangular spectral element method 

分 类 号：O17[理学—数学]