Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations
Numerical Analysis
2016-07-20 v2
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 in the range
Keywords
Cite
@article{arxiv.1511.02756,
title = {Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations},
author = {Jean-Luc Guermond and Bojan Popov},
journal= {arXiv preprint arXiv:1511.02756},
year = {2016}
}