High-order Runge-Kutta discontinuous Galerkin (DG) method is applied to the kinetic model equations describing rarefied gas flows. A conservative DG discretization of nonlinear collision relaxation term is formulated for Bhatnagar-Gross-Krook and ellipsoidal statistical models. The numerical solutions using RKDG method of order up to four are obtained for two flow problems: the heat transfer between parallel plates and the normal shock wave. The convergence of RKDG method is compared with the conventional secondorder finite volume method for the heat transfer problem. The normal shock wave solutions obtained using RKDG are compared with the experimental measurements of density and velocity distribution function inside the shock.
Date of this Version
Alexeenko, Alina A.; Galitzine, Cyril; and Alekseenko, Alexander M., "High-Order Discontinuous Galerkin Method for Boltzmann Model Equations" (2008). School of Aeronautics and Astronautics Faculty Publications. Paper 12.