Preprint 1998-035

Composite Centered Schemes for Multidimensional Conservation Laws

Abstract: The oscillations of a centered second order finite difference scheme and the excessive diffusion of a first order centered scheme can be overcome by global composition of the two, that is by performing cycles consisting of several time steps of the second order method followed by one step of the diffusive method. We show the effectiveness of this approach on some test problems in two and three dimensions.

Paper:

Available as PostScript (4.5 Mbytes) or gzipped PostScript (808 Kbytes; uncompress using gunzip).

Title:

Composite centered schemes for multidimensional conservation laws

Author(s):

Richard Liska, mailto:liska@siduri.fjfi.cvut.cz

Burton Wendroff , mailto:bbw@lanl.gov

Publishing information:

Technical Report LA-UR 98-2216, LANL, Los Alamos, 1998. Shortened version which will appear in the Proceedings of the Seventh International Conference on Hyperbolic Problems Theory, Numerics, Applications, ETH Z�rich, February 9-13, 1998, is available.

Comments:

Submitted by:

mailto:liska@siduri.fjfi.cvut.cz September 22 1998.