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

In: Analysis and Numerics for Conservation Laws

Author

Listed:
  • Wolfgang Dahmen

    (RWTH Aachen, Institut für Geometrie und Praktische Mathematik)

  • Siegfried Müller

    (RWTH Aachen, Institut für Geometrie und Praktische Mathematik)

  • Alexander Voß

    (RWTH Aachen, Institut für Geometrie und Praktische Mathematik)

Abstract

Summary An exact Riemann solver is developed for the investigation of non-classical wave phenomena in BZT fluids and fluids 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 fluids. As an application, we present some numerical results where we consider flow fields exhibiting non-classical wave phenomena due to BZT fluids and phase transition.

Suggested Citation

  • Wolfgang Dahmen & Siegfried Müller & Alexander Voß, 2005. "Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions," Springer Books, in: Gerald Warnecke (ed.), Analysis and Numerics for Conservation Laws, pages 137-162, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27907-5_7
    DOI: 10.1007/3-540-27907-5_7
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