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

Naveed Ahmed, Gunar Matthies

Type: Article

Publication Date: 2020-07-23

Citations: 5

DOI: https://doi.org/10.1093/imanum/draa053

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.

Locations

IMA Journal of Numerical Analysis - View
arXiv (Cornell University) - View - PDF

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+	A semi-implicit discontinuous Galerkin finite element method for the numerical solution of inviscid compressible flow	2004	Vít Dolejší Miloslav Feistauer
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+	Analysis of space–time discontinuous Galerkin method for nonlinear convection–diffusion problems	2010	Miloslav Feistauer Václav Kučera Karel Najzar Jaroslava Prokopová