Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations Academic Article uri icon


  • © 2016 Elsevier Inc. 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].

altmetric score

  • 0.25

author list (cited authors)

  • Guermond, J., & Popov, B.

citation count

  • 22

publication date

  • September 2016