Discontinuous Galerkin method for multifluid Euler equations

Based on previous work extending the Discontinuous Galerkin method to multifluid flows, we analyze the performance of our numerical scheme. First, the advection of a contact discontinuity and a multifluid version of the Sod shock-tube problem are considered. We compare the oscillations generated by the non-conservative and conservative formulations of the ratio of specific heats equations, and demonstrate the non-oscillatory nature of the proposed numerical method. We compare the results for different proposed Riemann solvers. We verify the mass, momentum, and energy conservation properties of the scheme. Finally, we validate our numerical simulations against experimental results of the Richtmyer-Meshkov instability.