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arXiv · 1511.02756

Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations

Jean-Luc Guermond·Bojan Popov
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Abstract

This paper is concerned with the construction of a fast algorithm for computing the maximum speed of propagation in the Riemann solution for the Euler system of gas dynamics with the co-volume equation of state. The novelty in the algorithm is that it stops when a guaranteed upper bound for the maximum speed is reached with a prescribed accuracy. The convergence rate of the algorithm is cubic and the bound is guaranteed for gasses with the co-volume equation of state and the heat capacity ratio $\gamma$ in the range $(1,5/3]$

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Jean-Luc Guermond, Bojan Popov. 2015-11-09. Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations. https://doi.org/10.1016/j.jcp.2016.05.054

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