Discontinuous Galerkin method in high-speed rarefied gas simulations
Abstract
In this paper, a numerical scheme of the Discontinuous Galerkin (DG) method is proposed for the extended Navier-Stokes-Fourier equations in high-speed rarefied gas simulations. Two basic configurations in aerodynamics such as rarefied gas flows over the flat plate and circular cylinder in cross-flow, are adopted to verify the DG scheme aforementioned. Each configuration is simulated using the classical N-S-F and the extended N-S-F equations. All calculated results are compared with the Direct Simulation Monte-Carlo (DSMC) data, and show that those using the extended N-S-F equations are close to the DSMC data while those using the classical N-S-F equations are not, especially in the flat plate case.
Moraref