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)