A DISCONTINUOUS GALERKIN PRESSURE CORRECTION SCHEME FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS: STABILITY AND CONVERGENCE

作     者：Masri, Rami Liu, Chen Riviere, Beatrice 

作者机构：Rice Univ Dept Computat & Appl Math Houston TX 77005 USA Purdue Univ Dept Math W Lafayette IN 47907 USA 

出 版 物：《MATHEMATICS OF COMPUTATION》 (计算数学)

年 卷 期：2022年第91卷第336期

页      面：1625-1654页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：NSF-DMS [1913291, 2111459] Division Of Mathematical Sciences Direct For Mathematical & Physical Scien Funding Source: National Science Foundation 

主　　题：Discontinuous Galerkin pressure correction incompressible Navier–Stokes equations numerical error analysis 

摘      要：A discontinuous Galerkin pressure correction numerical method for solving the incompressible Navier-Stokes equations is formulated and analyzed. We prove unconditional stability of the proposed scheme. Convergence of the discrete velocity is established by deriving a priori error estimates. Numerical results verify the convergence rates.