Higher-order discontinuous Galerkin time discretizations for the evolutionary Navier–Stokes equations-Reference-Cited by-同舟云学术

Higher-order discontinuous Galerkin time discretizations for the evolutionary Navier–Stokes equations

Published:2020-08-27 Issue:4 Volume:41 Page:3113-3144
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Ahmed Naveed¹,Matthies Gunar²

Affiliation:

1. Department of Mathematics and Natural Sciences, Gulf University for Science and Technology, 32093 Hawally, Kuwait

2. Technische Universität Dresden, Institut für Numerische Mathematik, 01062 Dresden, Germany

Abstract

Abstract Discontinuous Galerkin methods of higher order are applied as temporal discretizations for the transient Navier–Stokes equations. The spatial discretization based on inf–sup stable pairs of finite element spaces is stabilized using a one-level local projection stabilization method. Optimal error bounds for the velocity with constants independent of the viscosity parameter are obtained for both the semidiscrete case and the fully discrete case. Numerical results support the theoretical predictions.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

http://academic.oup.com/imajna/article-pdf/41/4/3113/40758277/draa053.pdf

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