Model adaptation for hyperbolic balance laws

arXiv (Cornell University)

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.

Authors 4

1. Jan Giesselmann
2. Hrishikesh Joshi
3. Siegfried Müller Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen

4. Aleksey Sikstel