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

abstract

• 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 in the range (1, 5/3].

authors

• Popov, Bojan

published proceedings

• JOURNAL OF COMPUTATIONAL PHYSICS

altmetric score

• 0.25

author list (cited authors)

• Guermond, J., & Popov, B.

citation count

• 35

complete list of authors

• Guermond, Jean-Luc||Popov, Bojan

publication date

• September 2016

publisher

• Elsevier  Publisher

keywords

• Co-volume Equation Of State
• Euler System Of Gas Dynamics
• Maximum Speed Of Propagation
• Riemann Problem

Digital Object Identifier (DOI)

• 10.1016/j.jcp.2016.05.054

start page

• 908

end page

• 926

volume

• 321

URL

• http://dx.doi.org/10.1016/j.jcp.2016.05.054