Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Numerical Solution of Euler Equations Using Rotated-Hybrid Riemann Solver
R. David, J. Holman
Abstract:
In this paper a new scheme for computation of the numerical fluxes in Euler equations is proposed. The scheme belongs to the rotated Riemann solvers, where two different Riemann solvers are used together. It is created by combining two-wave HLL solver, which is more dissipative, but isn't prone to formation of the carbuncle phenomena, and three-wave HLLC, which is more accurate, but isn't carbuncle-free. Both flux functions are applied in a different direction, and combined into the one. Because of the similarity of the HLL and HLLC fluxes, the final scheme can be implemented in a straightforward way. Rotated HLL/HLLC scheme is carbuncle-free, and accurately resolves shock waves. Several test cases, with focus on proper resolving of shock waves, and comparisons with other schemes, are presented.
Keywords:
numerical solution, Euler equations, Rotated Riemann solvers, Carbuncle phenomenon

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2019.009

In Proceedings Topical Problems of Fluid Mechanics 2019, Prague, 2019 Edited by David Šimurda and Tomáš Bodnár, pp. 63-68 ISBN 978-80-87012-69-7 (Print) ISSN 2336-5781 (Print)