Preprint 2001-032

On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws

Knut-Andreas Lie and Sebastian Noelle

Abstract: The recently proposed high-order central difference schemes for conservation laws have a tendency of smearing linear discontinuities. In principle, Harten's artificial compression method (ACM) could be used to improve resolution. We analyse why this approach has not yet been used successfully and derive a more powerful version of the ACM based on a rigorous estimate of the total variation. We discuss the potential danger of overcompression and point out directions of future algorithmic development.

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Knut-Andreas Lie, <>
Sebastian Noelle, <>
Publishing information:
Revised version January 21 2002.
Submitted by:
<> August 17 2001.

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