Coupled generalized Riemann problems for the Euler equations

Journal of Computational and Applied Mathematics, vol. 473, pp. 116907

Abstract

We introduce a novel method for systems of conservation laws coupled at a sharp interface based on generalized Riemann problems. This method yields a piecewise-linear in time approximation of the solution at the interface, thus, desynchronizing the solvers for the coupled systems. We apply this framework to a problem of compressible Euler equations coupled via a gas generator and prove its solvability. Finally, we conduct numerical experiments and show that our algorithm performs at correct convergence rates.

Authors 2

1. Zhifang Du

   Institute of Applied Physics and Computational Mathematics

   Affiliation as printed

   Institute of Applied Physics and Computational Mathematics, 100094, Beijing, China

2. Aleksey Sikstel corresponding Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University, Schinkelstrasse 2, 52062, Aachen, Germany