Shock capturing for discontinuous Galerkin approximations of hypersonic non-equilibrium flow

This paper describes the application of an implicit matrix-free discontinuous Galerkin method for hypersonic flow in chemical non-equilibrium. An implicit high-order method is coupled with an open-source library providing the physical modeling terms relevant to hypersonic flow. The main focus of study is the development of robust artificial viscosity methods to provide stability when sharp features appear in the solution. These techniques have been extensively studied and refined for ideal gas flows, and this work adapts two different approaches for non-equilibrium reacting flows. Initial validation results of the coupling between the high-order method and hypersonics modeling codes are presented and results are presented on a 1D shock tube and 2D cylinder problem.