Synthesis report on shock capturing strategies

Abstract

One key problem in higher-order methods is the preservation of monotonicity across discontinuities such as shock waves. This synthesis report gives an overview about the different approaches adopted by the ADIGMA partners, INRIA, NJU, SERAM, UNBG, UNPR, UNST and VKI, who are all involved in the shock capturing workpackage. It shows the current state-of-the-art of the shock capturing capabilities. After a brief description of the different methods, these are compared based on the results for two two-dimensional test cases, one unsteady strong Ma = 10 shock (DMR) and one steady solution of a transonic flow around a NACA0012 profile (MTC 2). The focus is put on a thin shock profile and the least dissipative representation of the small scale instabilities for the DMR problem and the accurate computation of the aerodynamic coefficients with the least entropy error in the smooth flow region for the MTC 2 case. © 2010 Springer-Verlag Berlin Heidelberg.