A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density

Buyang Li, Weifeng Qiu, Zongze Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

Abstract

We propose a linearized semi-implicit and decoupled finite element method for the incompressible Navier–Stokes equations with variable density. Our method is fully discrete and shown to be unconditionally stable. The velocity equation is solved by an H 1-conforming finite element method, and an upwind discontinuous Galerkin finite element method with post-processed velocity is adopted for the density equation. The proposed method is proved to be convergent in approximating reasonably smooth solutions in three-dimensional convex polyhedral domains.

Original languageEnglish
Article number2
Pages (from-to)1-28
Number of pages28
JournalJournal of Scientific Computing
Volume91
Issue number1
DOIs
Publication statusPublished - Apr 2022

Keywords

  • Discontinuous Galerkin methods
  • Navier–Stokes equations
  • Transport equation
  • Variable density

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering(all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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