Implementation of Discontinuous Galerkin Method in Gas Dynamics

Abstract

Discontinuous Galerkin (DG) method is tested and valuated in this paper in Euler equations of gas dynamics. For one-and two-dimensional problems, this method shows promising results. However, to acquire same quality of results, DG demands about 7 times more CPU time than MUSCL of the finite volume method. Moreover, removing oscillation is tough for this scheme, so we"ve tested several limiters. In this paper, detail procedure to achieve high-order of accuracy is analyzed followed by a comparison study with MUSCL in terms of accuracy and efficiency. Lastly, some current issues of DG are introduced.