Sharpening methods for finite volume schemes
Numerical Analysis
2016-08-10 v1 Analysis of PDEs
Abstract
We review sharpening methods for finite volume schemes, with an emphasis on the basic structure of sharpening methods. It covers high order methods and non linear techniques for linear advection, Glimm's method, anti-diffusion techniques, the interaction of these techniques with the PDE structures. Additional approaches like level sets, interface reconstruction and Vofire are also discussed. We also present the algorithmic structure of the downwind method for a simple two components problem.
Keywords
Cite
@article{arxiv.1608.02719,
title = {Sharpening methods for finite volume schemes},
author = {B Després and S Kokh and Frédéric Lagoutière},
journal= {arXiv preprint arXiv:1608.02719},
year = {2016}
}