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A conservative spectral element method for the approximation of compressible fluid flow. (English) Zbl 1274.76271
Summary: A method to approximate the Euler equations is presented. The method is a multi-domain approximation, and a variational form of the Euler equations is found by making use of the divergence theorem. The method is similar to that of the discontinuous Galerkin method of B. Cockburn and C. W. Shu, but the implementation is constructed through a spectral, multi-domain approach. The method is introduced and is shown to be a conservative scheme. A numerical example is given for the expanding flow around a point source as a comparison with the method proposed by D. A. Kopriva.

##### MSC:
 76M22 Spectral methods applied to problems in fluid mechanics 65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
HLLE
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##### References:
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