233 | IGPM233.pdf October 2003 |

TITLE | Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions |

AUTHORS | Wolfgang Dahmen, Siegfried Müller, Alexander Voß |

ABSTRACT | An exact Riemann solver is developed for the investigation of non-classical wave phenomena in BZT and which undergo a phase transition. Here we outline the basic construction principles of this Riemann solver employing a general equation of state that takes negative nonlinearity and phase transition into account. This exact Riemann solver is a useful validation tool for numerical schemes, in particular, when applied to the aforementioned As an application, we present some numerical results where we consider fields exhibiting non-classical wave phenomena due to BZT and phase transition. |

KEYWORDS | |

PUBLICATION | Analysis and numerics for conservation laws : with 18 tables / Gerald Warnecke (ed.) 137-162 (2005) |