Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations (Q418999)

In this paper it is provided an extension of the positivity-preserving techniques to construct robust high order Runge-Kutta discontinuous Galerkin schemes for reactive Euler equations modeling gaseous detonations. The numerical tests developed in the paper under review suggest that the positivity-preserving limiter is sufficient to stabilize the high order discontinuous Galerkin method without the TVB limiter. At the same time, robust high order Runge-Kutta discontinuous Galerkin schemes can successfully simulate detonation diffraction cases in which the density or pressure of the numerical solution may become negative without the positivity-preserving limiter.