Shock Waves

, Volume 4, Issue 1, pp 25–34

Restoration of the contact surface in the HLL-Riemann solver

  • E. F. Toro
  • M. Spruce
  • W. Speares
Article

DOI: 10.1007/BF01414629

Cite this article as:
Toro, E.F., Spruce, M. & Speares, W. Shock Waves (1994) 4: 25. doi:10.1007/BF01414629

Abstract

The missing contact surface in the approximate Riemann solver of Harten, Lax, and van Leer is restored. This is achieved following the same principles as in the original solver. We also present new ways of obtaining wave-speed estimates. The resulting solver is as accurate and robust as the exact Riemann solver, but it is simpler and computationally more efficient than the latter, particulaly for non-ideal gases. The improved Riemann solver is implemented in the second-order WAF method and tested for one-dimensional problems with exact solutions and for a two-dimensional problem with experimental results.

Key words

Finite difference schemeNumerical simulationRiemann solver

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • E. F. Toro
    • 1
  • M. Spruce
    • 1
  • W. Speares
    • 1
  1. 1.Department of Aerospace Sciences, College of AeronauticsCranfield Institute of TechnologyCranfieldUK