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Preprint 2011-020

On some deficiencies of the AUFS scheme for Euler flows and possible fixes

Friedemann Kemm

Abstract: The AUFS-scheme by Sun and Takayama is a flux splitting scheme without breakdown of discrete shock profiles, usually called carbuncle, but still with a fine resolution of entropy waves. Unfortunately, in numerical tests, the viscosity on entropy waves turns out to be too small and the viscosity on shear waves to be too high. In this paper, we provide fixes to overcome these deficiencies.

Paper:
Available as PDF (2.9 Mbytes).
Author(s):
Friedemann Kemm,
Submitted by:
; 2011-09-27.