Model adaptation for hyperbolic balance laws
Numerical Analysis
2023-02-23 v1 Numerical Analysis
Abstract
In this work, we devise a model adaptation strategy for a class of model hierarchies consisting of two levels of model complexity. In particular, the fine model consists of a system of hyperbolic balance laws with stiff reaction terms and the coarse model consists of a system of hyperbolic conservation laws. We employ the relative entropy stability framework to obtain an a posteriori modeling error estimator. The efficiency of the model adaptation strategy is demonstrated by conducting simulations for chemically reacting fluid mixtures in one space dimension.
Cite
@article{arxiv.2302.11008,
title = {Model adaptation for hyperbolic balance laws},
author = {Jan Giesselmann and Hrishikesh Joshi and Siegfried Müller and Aleksey Sikstel},
journal= {arXiv preprint arXiv:2302.11008},
year = {2023}
}