Flux-conservative Hermite methods for simulation of nonlinear conservation laws
Numerical Analysis
2017-03-21 v1
Abstract
A new class of Hermite methods for solving nonlinear conservation laws is presented. While preserving the high order spatial accuracy for smooth solutions in the existing Hermite methods, the new methods come with better stability properties. Artificial viscosity in the form of the entropy viscosity method is added to capture shocks.
Keywords
Cite
@article{arxiv.1703.06848,
title = {Flux-conservative Hermite methods for simulation of nonlinear conservation laws},
author = {Adeline Kornelus and Daniel Appelö},
journal= {arXiv preprint arXiv:1703.06848},
year = {2017}
}