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An unsplit 3D upwind method for hyperbolic conservation laws. (English) Zbl 0813.65111
This paper is an extension of an advection algorithm of B. van Leer [Computing methods in applied sciences and engineering VI, Proc. 6th Int. Symp., Versailles 1983, 493-497 (1984; Zbl 0565.65052)] and a 2D unsplit method of P. Colella [J. Comput. Phys. 87, No. 1, 171-200 (1990; Zbl 0694.65041)] to tensor product grids in three dimensions. The method is implemented for the Euler equations of gas dynamics. Some examples calculating the blast problem in one, two and three dimensions are presented.
Reviewer: K.Zlateva (Russe)

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
76N15 Gas dynamics (general theory)
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