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

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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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Journal
1511.02756

Numerical & Computational mathematics