Discontinuous Galerkin Method for the Numerical Solution of Euler Equations in Axisymmetric Geometry

This paper is devoted to the presentation of a new family of high order numerical schemes in space (we restrict the scope of this paper to first order in time) for the numerical solution of Euler equations in axisymmetric geometry (1) (see also [Des98a] in 1D and [Des98b]). The unknowns are the density, the two components of the velocity and the specific total energy (ρ, u 1, u 2, e).