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.


This is the published version of A. Alexeenko, C. Galitzine*, and A. M. Alekseenko. 2008. “High-Order Discontinuous Galerkin Method for Boltzmann Model Equations”. First published as an AIAA 40th Thermophysics Conference Paper and is available online at: http://arc.aiaa.org/doi/pdf/10.2514/6.2008-4256.

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