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.
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Dahmen, W., Müller, S., Voß, A. (2005). Riemann Problem for the Euler Equation with Non-Convex Equation of State including Phase Transitions. In: Warnecke, G. (eds) Analysis and Numerics for Conservation Laws. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-27907-5_7
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DOI: https://doi.org/10.1007/3-540-27907-5_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24834-7
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