No. 2021.02
Coupling of Two Hyperbolic Systems by Solving Half-Riemann Problems
M. Herty, S. Müller, and A. Sikstel
Subject: Linear elastic equations, compressible Euler equations, coupling conditions, coupled Riemann problem, Lax curves

Abstract

The modelling of gas networks requires the development of coupling techniques at junctions. Recent work on the coupling of hyperbolic systems based on solving two half Riemann problems can be useful also for the coupling issue in gas networks. This strategy is exemplified here for the coupling of a fluid with a solid modelled by the Euler equations supplemented with a stiffened gas equation and a linear elastic model, respectively. This framework may serve as a basis for investigations of coupling conditions on nodes of a gas network.

Reference

In: Göttlich S., Herty M., Milde A. (eds) Mathematical Modeling, Simulation and Optimization for Power Engineering and Management. Mathematics in Industry, vol 34. Springer, Cham.