Fekete-Gauss Spectral Elements for Incompressible Navier-Stokes Flows:The Two-Dimensional Case

作     者：Laura Lazar Richard Pasquetti Francesca Rapetti 

作者机构：Lab.J.A.DieudonneUMR 7351 CNRS UNSUniversite de Nice-Sophia Antipolis06108 Nice Cedex 02France 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2013年第13卷第5期

页      面：1309-1329页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

主　　题：Spectral elements simplicial meshes Fekete-Gauss approximation Navier-Stokes equations projection methods domain decomposition 

摘      要：Spectral element methods on simplicial meshes,say TSEM,show both the advantages of spectral and finite element methods,i.e.,spectral accuracy and geometrical *** present a TSEM solver of the two-dimensional(2D)incompressible Navier-Stokes equations,with possible extension to the 3D *** uses a projection method in time and piecewise polynomial basis functions of arbitrary degree in *** so-called Fekete-Gauss TSEM is employed,i.e.,Fekete(***)points of the triangle are used as interpolation(***)*** the sake of consistency,isoparametric elements are used to approximate curved *** resolution algorithm is based on an efficient Schur complement method,so that one only solves for the element boundary ***,the algebraic system is never assembled,therefore the number of degrees of freedom is not *** accuracy study is carried out and results are provided for classical benchmarks:the driven cavity flow,the flow between eccentric cylinders and the flow past a cylinder.