Discontinuous Galerkin method for incompressible two-phase flows
Numerical Analysis
2020-03-30 v1 Numerical Analysis
Fluid Dynamics
Abstract
In this contribution we present a local discontinuous Galerkin (LDG) pressure-correction scheme for the incompressible Navier-Stokes equations. The scheme does not need penalty parameters and satisfies the discrete continuity equation exactly. The scheme is especially suitable for two-phase flow when used with a piecewise-linear interface construction (PLIC) volume-of-fluid (VoF) method and cut-cell quadratures.
Cite
@article{arxiv.2003.12373,
title = {Discontinuous Galerkin method for incompressible two-phase flows},
author = {Janick Thomas Gerstenberger and Samuel Burbulla and Dietmar Kröner},
journal= {arXiv preprint arXiv:2003.12373},
year = {2020}
}
Comments
8 pages, 5 figures, to be published in the proceedings of "Finite Volumes for Complex Applications IX" (FVCA9)