Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations

被引：2
|
作者：
Masri, Rami [1 ]
Liu, Chen [2 ]
Riviere, Beatrice [3 ]
机构：
[1] Simula Res Lab, Dept Numer Anal & Sci Comp, Oslo, Norway
[2] Purdue Univ, Dept Math, W Lafayette, IN USA
[3] Rice Univ, Dept Computat & Appl Math, Houston, TX 77005 USA
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 39卷 / 04期
基金：
美国国家科学基金会;
关键词：
discontinuous Galerkin; operator splitting; time-dependent Navier-Stokes; PROJECTION METHODS; SPLITTING METHOD; APPROXIMATION; CONVERGENCE;
D O I：
10.1002/num.23002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The pressure correction scheme is combined with interior penalty discontinuous Galerkin method to solve the time-dependent Navier-Stokes equations. Optimal error estimates are derived for the velocity in the L-2 norm in time and in space. Error bounds for the discrete time derivative of the velocity and for the pressure are also established. The analysis is challenging and technical and is based on appropriate use of lift operators and duality arguments.
引用
收藏
页码：3108 / 3144
页数：37
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