Abstract
The Method of Transport is a genuinely multi-dimensional finite volume scheme to solve the Euler equations. It is based on decomposing the Euler equations into a finite number of advection equations, and solving the resulting equations with some advection solver. In this paper we investigate how the decomposition and the advection solver must be chosen such that the resulting scheme preserves positivity of density and pressure.
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Fey, M., Zimmermann, S.A. (2001). Positive Decompositions of the Euler Equations into Advection Equations. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 140. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8370-2_40
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DOI: https://doi.org/10.1007/978-3-0348-8370-2_40
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9537-8
Online ISBN: 978-3-0348-8370-2
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