Numerical solution of ρ for a vortex problem subject to the 2D Euler equations (35) using LoDG and STDG.

Numerical solution of ρ for a vortex problem subject to the 2D Euler equations (35) using LoDG and STDG.

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In this paper we discuss two approaches for the formulation and implementation of space-time discontinuous Galerkin spectral element methods (DG-SEM). In one, time is treated as an additional coordinate direction and a Galerkin procedure is applied to the entire problem. In the other, the method of lines is used with DG-SEM in space and the fully i...