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The development of a Riemann solver for the steady supersonic Euler equations

Published online by Cambridge University Press:  04 July 2016

E. F. Toro  and
A. Chakraborty
E. F. Toro
Affiliation:
Department of Mathematics and PhysicsManchester Metropolitan University
A. Chakraborty
Affiliation:
Lola Cars Limited
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Abstract

An improved version (HLLC) of the Harten, Lax, van Leer Riemann solver (HLL) for the steady supersonic Euler equations is presented. Unlike the HLL, the HLLC version admits the presence of the slip line in the structure of the solution. This leads to enhanced resolution of computed slip lines by Godunov type methods. We assess the HLLC solver in the context of the first order Godunov method and the second order weighted average flux method (WAF). It is shown that the improvement embodied in the HLLC solver over the HLL solver is virtually equivalent to incorporating the exact Riemann solver.

Type
Research Article
Information
The Aeronautical Journal , Volume 98 , Issue 979 , November 1994 , pp. 325 - 339
Copyright
Copyright © Royal Aeronautical Society 1994 

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