Abstract: "In this paper, two classes of second order accurate high resolution schemes are presented on regular triangular meshes for initial value problem of two dimensional conservation laws. The first class are called Runge-Kutta-FVM MmB (locally Maximum-minimum Bounds preserving) schemes, w...

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Bibliographische Detailangaben

1. Verfasser:	Yang, Shuli (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin Konrad-Zuse-Zentrum für Informationstechnik 1992
Schriftenreihe:	Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1992,17
Schlagworte:	Conservation laws (Mathematics) Runge-Kutta formulas
Zusammenfassung:	Abstract: "In this paper, two classes of second order accurate high resolution schemes are presented on regular triangular meshes for initial value problem of two dimensional conservation laws. The first class are called Runge-Kutta-FVM MmB (locally Maximum-minimum Bounds preserving) schemes, which are first discretized by (FVM) finite volume method in space direction and modifying numerical fluxes, and then by Runge-Kutta methods in time direction; The second class, constructed by Taylor expansion in time, and then by FVM methods and making modifications to fluxes, are called Taylor-FVM MmB schemes. MmB properties of both schemes are proved for 2-D scalar conservation law Numerical results are given for Riemann problems of 2-D scalar conservation law and 2-D gas dynamics systems and some comparisons are made between the two clases of the schemes.
Beschreibung:	36 S.