A Runge–Kutta discontinuous Galerkin approach to solve reactive flows: The hyperbolic operator

A Runge–Kutta discontinuous Galerkin method to solve the hyperbolic part of reactive Navier–Stokes equations written in conservation form is presented. Complex thermodynamics laws are taken into account. Particular care has been taken to solve the stiff gaseous interfaces correctly with no restrictive hypothesis. 1D and 2D test cases are presented.