Numerics for Hyperbolic Conservation Laws with Help from the Physical Entropy
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Publication:6254257
DOI10.1515/JNET-2018-0038arXiv1408.6817WikidataQ129159189 ScholiaQ129159189MaRDI QIDQ6254257
Carl Philipp Zinner, Hans Christian Öttinger
Publication date: 27 August 2014
Abstract: Stable numerical simulations for a hyperbolic system of conservation laws of relaxation type but not in divergence form are obtained by incorporating the physical entropy into the simulations. The entropy balance is utilized as an additional equation to eliminate the numerically critical terms with simple substitutions. The method has potential for a wider applicability than the particular example presented here.
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