Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation-Reference-Cited by-同舟云学术

Pressure robust SUPG-stabilized finite elements for the unsteady Navier–Stokes equation

Published:2023-05-08 Issue: Volume: Page:
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Beirão da Veiga L¹,Dassi F¹,Vacca G²

Affiliation:

1. Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano Bicocca, Via Roberto Cozzi 55, 20125, Milano, Italy

2. Dipartimento di Matematica, University of Bari, Via Edoardo Orabona 4, 70125, Bari, Italy

Abstract

Abstract In the present contribution, we propose a novel conforming finite element scheme for the time-dependent Navier–Stokes equation, which is proven to be both convection quasi-robust and pressure robust. The method is built combining a ‘divergence-free’ velocity/pressure couple (such as the Scott–Vogelius element), a discontinuous Galerkin in time approximation and a suitable streamline upwind Petrov–Galerkin-curl stabilization. A set of numerical tests, in accordance with the theoretical results, is included.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

https://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/drad021/50247944/drad021.pdf

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