Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations
It provides a computationally efficient method with guaranteed bounds for gas dynamics simulations, but is incremental as it extends existing Riemann solvers to a specific equation of state.
This paper develops a fast algorithm that computes a guaranteed upper bound for the maximum wave speed in the Riemann problem for the Euler equations with co-volume equation of state, achieving cubic convergence rate for heat capacity ratios in (1,5/3].
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 $γ$ in the range $(1,5/3]$