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A Composite semi-conservative central-upwind scheme for hyperbolic conservation laws
by
Ritesh Kumar Dubey
Université Paul Sabatier, Institut de Mathématiques de Toulouse, Toulouse, France
We consider non-conservative form of conservation law to construct a semi-conservative scheme which becomes conservative in the vicinity of discontinuity. Proposed scheme captures the shock with high accuracy but yields expansion shocks in presence of sonic point. A simple criteria is proposed to utilize the idea of composite scheme to avoid such unphysical solution. The proposed composite scheme gives good result when applied to various scalar test problems.
Date received: February 14, 2009
Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxp-37.