High-order Bound-preserving Discontinuous Galerkin Method for Stiff Multispecies Detonation
摘要：In this talk, we develop high-order bound-preserving discontinuous Galerkin (DG) methods for multispecies and multireaction chemical reactive flows. In this problem, density and pressure are nonnegative, and the mass fraction for the each species, should be between 0 and 1. The high-order time integration in our work does not depend on the Strang splitting; i.e., we do not split the flux and the stiff source terms. Moreover, the time discretization is explicit and can handle the stiff source with large time step. Most importantly, in addition to the positivity-preserving property, the algorithm can preserve the upper bound 1 for each species. Numerical experiments will be given to demonstrate the good performance of the bound-preserving technique and the stability of the scheme for problems with stiff source terms.