Model Adaptation for Hyperbolic Systems with Relaxation

We address the numerical coupling of two hyperbolic systems, a relaxation model and the associated equilibrium model, separated by spatial interfaces that automatically evolve in time, the whole being approximated by finite volume schemes. The criterion to choose where each model has to be used results of the Chapman–Enskog expansion of the relaxed model, both on a continuous and a discrete view point. Numerical tests illustrate the good behavior of the algorithm.

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