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.
- Paper:
- Available as PostScript (1.5 Mbytes) or
gzipped PostScript (219 Kbytes; uncompress
using gunzip).
- Author(s):
- Knut-Andreas Lie,
<Knut-Andreas.Lie@math.sintef.no>
- Sebastian Noelle,
<noelle@iam.uni-bonn.de>
- Publishing information:
-
- Comments:
- Revised version January 21 2002.
- Submitted by:
-
<Knut-Andreas.Lie@math.sintef.no>
August 17 2001.
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Last modified: Thu Jan 24 16:04:31 MET 2002