210 RWTH Publication No: 47173        2002        IGPM210.pdf
TITLE On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws
AUTHORS Knut-Andreas Lie, 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.
KEYWORDS hyperbolic conservation laws, nonoscillatory high resolution central schemes, contact discontinuities, artificial compression
DOI 10.1137/S1064827501392880
PUBLICATION SIAM Journal on Scientific ComputingVol. 24, Iss. 4 (2003)