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A two dimensional discontinuous Galerkin finite element method for supersonic flow field simulation on hybrid meshes is proposed. The governing equations are Euler equations, and the 3rd order explicit Runge-Kutta method is used for temporal discretization. The Hermit WENO limiter is introduced to increase the stability of this scheme when it is applied to supersonic flow fields. Two dimensional hybrid unstructured meshes are used in spatial discretizations, which contain both triangle elements and quadrangle elements. This method is validated with supersonic test problems, the results show that this method can solve supersonic flow fields using hybrid unstructured meshes.

Supersonic; Euler Equations; Discontinuous Galerkin; Hybrid Mesh