Asymptotic Preserving Scheme for Euler System with Large Friction

Authors:
F. Coquel;E. Godlewski
Affiliations:
CNRS and CMAP, Ecole Polytechnique, Paris, France;Laboratoire Jacques-Louis Lions, UPMC Univ. Pierre et Marie Curie and CNRS, Paris, France
Venue:
Journal of Scientific Computing
Year:
2011

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Abstract

We construct a `well-balanced' and `asymptotic preserving' scheme for the approximation of the model problem of gas dynamics equations with gravity and friction. The friction terms we consider are quite general. We interpret our simple Riemann solver in such a way that the expected properties are directly inherited from the properties of the system of PDEs which is approximated.