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Zbl 0972.65055
Kurganov, Alexander; Petrova, Guergana
Central schemes and contact discontinuities. (English)
[J] M2AN, Math. Model. Numer. Anal. 34, No.6, 1259-1275 (2000). ISSN 0764-583X; ISSN 1290-3841/e

This work is devoted to Godunov central schemes for one-dimensional systems of conservation laws. The authors introduce a new version of these schemes based on the maximal one-sided local speeds of propagation and the partial characteristic decomposition. They also propose a technique to improve the resolution of contact waves. The described approaches are numerically tested on the 1D Euler equations.
[M.Brandner (Plzěn)]

MSC 2000:: *65M06 Finite difference methods (IVP of PDE)
35L65 Conservation laws

Keywords: conservation laws; contact discontinuities; high-resolution methods; central schemes; numerical examples; Euler equations

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