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

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Abstract

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

Details

Original languageEnglish
Pages (from-to)3113-3144
Number of pages32
JournalIMA Journal of Numerical Analysis
Volume41
Issue number4
Publication statusPublished - 1 Oct 2021
Peer-reviewedYes

External IDs

Scopus 85120694532

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