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RWTH Publication No: 951714 2023 
TITLE 
Model adaptation for hyperbolic balance laws 
AUTHORS 
Jan Giesselmann, Hrishikesh Joshi, Siegfried Müller, Aleksey Sikstel 
ABSTRACT 
In this work, we devise a model adaptation strategy for a class of model hi
erarchies 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 estima
tor. The efficiency of the model adaptation strategy is demonstrated by conducting
simulations for chemically reacting fluid mixtures in one space dimension. 
KEYWORDS 
model adaptation, a posteriori modeling error estimator, relative entropy, chemically reacting fluid mixture
