Abstract

We consider a numerical scheme for the nonlinear Euler equations of gasdynamics in 2-D. The algorithm doesn’t use any dimensional splitting. It is a generalization of a scheme, which was developped by Roe for the linear Euler equations. In 1-D perturbations can propagate only in two directions but in 2-D there are infinite many directions of propagation. Therefore the algorithm should be able to select the most important directions and to ensure that the scheme takes this fact into account. In this paper we shall describe some details of this algorithm and we shall present some numerical results in 1-D and 2-D.

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