483 | IGPM483.pdf October 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 differs. 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 sufficiently 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 |

DOI | 10.1007/s10013-019-00353-7 |

PUBLICATION | Vietnam Journal of Mathematics 2019, pp 1–24 |