Geodesic
A conservative spectral element method for the approximation of compressible fluid flow
Kybernetika, Tome 35 (1999) no. 1, p. [133].

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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 Cockburn and 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 Kopriva.
Classification : 65M70, 76M22, 76M25, 76N10
Keywords: spectral element method; Euler equation; multi-domain approach 
@article{KYB_1999__35_1_a11,
     author = {Black, Kelly},
     title = {A conservative spectral element method for the approximation of compressible fluid flow},
     journal = {Kybernetika},
     pages = {[133]},
     publisher = {mathdoc},
     volume = {35},
     number = {1},
     year = {1999},
     mrnumber = {1705536},
     zbl = {1274.76271},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1999__35_1_a11/}
}
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Black, Kelly. A conservative spectral element method for the approximation of compressible fluid flow. Kybernetika, Tome 35 (1999) no. 1, p. [133]. http://geodesic.mathdoc.fr/item/KYB_1999__35_1_a11/