期刊
SIAM JOURNAL ON SCIENTIFIC COMPUTING
卷 24, 期 4, 页码 1157-1174出版社
SIAM PUBLICATIONS
DOI: 10.1137/S1064827501392880
关键词
hyperbolic conservation laws; nonoscillatory high resolution central schemes; contact discontinuities; artificial compression
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 analyze 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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