TY - CHAP A1 - Kemm, Friedemann ED - Benzoni-Gavage, Sylvie T1 - A carbuncle free Roe-type solver for the Euler equations T2 - Hyperbolic problems, proceedings of the Eleventh International Conference on Hyperbolic Problems, held in Ecole Normale Supérieure, Lyon, July 17 - 21, 2006 N2 - Based on the idea of the HLLEM scheme, we propose a novel ansatz to cure the well known carbuncle instability. Instead of testing all neighboring cells for strong shocks we test the Riemann problem for contact and shear waves. As an indicator we suggest the residual of the Rankine-Hugoniot condition for the linear waves. By using known approaches, we can apply a well tempered amount of viscosity for the contact and shear waves of the Roe and HLLEM methods. The resulting Riemann solver approximates contact and shear waves exactly. However, according to the chosen value of a parameter, the Carbuncle phenomenon can be completely avoided. KW - numerical examples KW - Euler equations KW - Roe method KW - HLLEM scheme KW - carbuncle instability KW - shocks KW - Riemann problem KW - contact and shear waves KW - Rankine-Hugoniot condition KW - supersonic flows Y1 - 2008 UR - http://springerlink.com/content/h46448g01h674285/fulltext.pdf SN - 3-540-75711-2 SN - 978-3-540-75711-5 SP - 601 EP - 608 PB - Springer CY - Berlin [u.a.] ER -