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 language | English |
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Article number | 2 |
Pages (from-to) | 1-28 |
Number of pages | 28 |
Journal | Journal of Scientific Computing |
Volume | 91 |
Issue number | 1 |
DOIs | |
Publication status | Published - 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