Numerical solution of Baer-Nunziato model with discontinuous Galerkin method

The paper presents the discontinuous Galerkin method for solving the equations of the Baer-Nunziato model, that describes flows in multiphase media in the framework of completely non-equilibrium formulation. The algebraic completion of the solution up to the second order is used. The monotony of the numerical scheme is ensured by the use of the WENO-S geometric limiter. The results of one-dimensional and two-dimensional test calculations are presented. Lax-Friedrichs and Rusanov flows are used as numerical fluxes. Examples of numerical calculations of one-dimensional and two-dimensional problems are given.