✦ LIBER ✦

On Riemann solvers for compressible liquids

✍ Scribed by M. J. Ivings; D. M. Causon; E. F. Toro

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 213 KB
Volume: 28
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19980915)28:3<395::aid-fld718>3.0.co;2-s

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✦ Synopsis

A number of Riemann solvers are proposed for the solution of the Riemann problem in a compressible liquid. Both the Tait and Tammann equations of state are used to describe the liquid. Along with exact Riemann solvers, a detailed description of a primitive variable Riemann solver, a two-shock Riemann solver, a two-rarefaction Riemann solver and an extension to the HLL Riemann solver, namely the HLLC Riemann solver, are presented. It is shown how these Riemann solvers may be implemented into Godunov-type numerical methods. The appropriateness of each of the Riemann solvers for a number of flow situations is demonstrated by applying Godunov's method to some revealing shock tube test problems.

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