TY - JOUR
T1 - A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations
AU - Lizhen Chen, Jie Shen & Chuanju Xu
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 - <p style="text-align: justify;">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.</p>