A Convergent Post-processed Discontinuous Galerkin Method for Incompressible Flow with Variable Density
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Article number | 2 |
| Journal / Publication | Journal of Scientific Computing |
| Volume | 91 |
| Issue number | 1 |
| Online published | 28 Feb 2022 |
| Publication status | Published - Apr 2022 |
Link(s)
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 H1-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.
Research Area(s)
- Navier-Stokes equations, Variable density, Transport equation, Discontinuous Galerkin methods, PROJECTION METHOD
Citation Format(s)
A Convergent Post-processed Discontinuous Galerkin Method for Incompressible Flow with Variable Density. / Li, Buyang; Qiu, Weifeng; Yang, Zongze.
In: Journal of Scientific Computing, Vol. 91, No. 1, 2, 04.2022.
In: Journal of Scientific Computing, Vol. 91, No. 1, 2, 04.2022.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
