A well-balanced scheme for two-fluid flows in variable cross-section ducts
Analysis of PDEs
2014-03-07 v1
Abstract
We propose a finite volume scheme for computing two-fluid flows in variable cross-section ducts. Our scheme satisfies a well-balanced property. It is based on the VFRoe approach. The VFRoe variables are the Riemann invariants of the stationnary wave and the cross-section. In order to avoid spurious pressure oscillations, the well-balanced approach is coupled with an ALE (Arbitrary Lagrangian Eulerian) technique at the interface and a random sampling remap.
Keywords
Cite
@article{arxiv.1403.1382,
title = {A well-balanced scheme for two-fluid flows in variable cross-section ducts},
author = {Philippe Helluy and Jonathan Jung},
journal= {arXiv preprint arXiv:1403.1382},
year = {2014}
}
Comments
Finite Volumes for Complex Applications VI, Prague : Czech Republic (2011)