483 IGPM483.pdf        2018
TITLE Coupling of compressible Euler equations
AUTHORS Michael Herty, Siegfried Müller, Aleksey Sikstel
ABSTRACT The Riemann problem for coupled Euler equations is analysed. The coupling conditions at a steady interface impose continuous pressure and temperature while momentum di ers. The outtake of the momentum models the inuence of a gas-powered generator linked to a high-pressure gas network. We prove the existence and uniqueness of the solution to the coupled Riemann problem in case the drop in the momentum is suciently small. Furthermore, we analyse the coupling problem for the special case of isentropic Euler equations and obtain similar results. The behaviour of coupled isentropic and coupled compressible Euler equations is compared numerically.
KEYWORDS Gas networks, compressible Euler equations, isentropic, Euler equations, coupling conditions, coupled Riemann problem, Lax curves