A low dissipation essentially non-oscillatory central scheme

Here we present a new, semidiscrete, central scheme for the numerical solution of one-dimensional systems of hyperbolic conservation laws. The method presented in this paper is an extension of the centrally weighted non-oscillatory schemes (Cweno) presented in [7], [5] and [6]. The method suggested in this manuscript is derived independently of the order of the scheme. The gain in this new method is a decreased dissipation especially for high Mach-number flows, which are frequently encountered, e. g., in astrophysical contexts or turbulent systems. Key words: hyperbolic conservation laws, high resolution central schemes

• Type: Journal
• Year: 2007
• Where: CPHYSICS
• Authors: R. Kissmann, R. Grauer
• Keywords: Central Schemes, CPHYSICS 2007, Hyperbolic Conservation Laws, Weighted Non-oscillatory Schemes