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

Wolfgang Dahmen (), Siegfried Müller () and Alexander Voß ()
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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

A chapter in Analysis and Numerics for Conservation Laws, 2005, pp 137-162 from Springer

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.

Keywords: Euler Equation; Wave Part; Rarefaction Wave; Riemann Problem; Shock Speed (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27907-5_7

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DOI: 10.1007/3-540-27907-5_7

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