Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations

被引：5
|
作者：
Wang, Shuqin [1 ,2 ]
Deng, Weihua [1 ]
Yuan, Jinyun [2 ]
Wu, Yujiang [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Peoples R China
[2] Univ Fed Parana, Dept Math, Ctr Politecn, CP 19-081, BR-81531990 Curitiba, Parana, Brazil
来源：
COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2017年 / 22卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Navier-Stokes equations; local discontinuous Galerkin method; symmetric variational formulation; FINITE-ELEMENT-METHOD; CONVECTION-DIFFUSION EQUATIONS; EULERIAN-LAGRANGIAN METHODS; ERROR ANALYSIS; FAMILY; APPROXIMATIONS; CONVERGENCE;
D O I：
10.4208/cicp.220515.031016a
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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 formulation. Moreover, for general triangulations the priori estimates for the L-2 - norm of the errors in both velocity and pressure are derived. Some numerical experiments are performed to verify theoretical results.
引用
收藏
页码：202 / 227
页数：26
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