Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations

作     者：Shuqin Wang Weihua Deng Jinyun Yuan Yujiang Wu 

作者机构：School of Mathematics and StatisticsGansu Key Laboratory of Applied Mathematics and Complex SystemsLanzhouUniversityLanzhou 730000P.R.China Department of MathematicsFederal University of ParanaCentro PolitecnicoCP:19.081CuritibaCEP:81531-990PRBrazil 

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

年 卷 期：2017年第22卷第6期

页      面：202-227页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Thisworkwas partially supported by theNational Basic Research(973)Programof China under Grant 2011CB706903 the National Natural Science Foundation of China under Grant 11271173,Grant 11471150,Grant 11671182,and the CAPES and CNPq in Brazil 

主　　题：Navier-Stokes equations local discontinuous Galerkin method symmetric variational formulation 

摘      要：By combining the characteristicmethod and the local discontinuous Galerkin method with carefully constructing numerical fluxes,variational formulations are established for time-dependent incompressible Navier-Stokes equations in R^(2).The nonlinear stability is proved for the proposed symmetric variational ***,for general triangulations the priori estimates for the L^(2)−norm of the errors in both velocity and pressure are *** numerical experiments are performed to verify theoretical results.