Fast sweeping methods for hyperbolic systems of conservation laws at steady state II
2015 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 286, 70-86 p.Article in journal (Refereed) Published
The idea of using fast sweeping methods for solving stationary systems of conservation laws has previously been proposed for efficiently computing solutions with sharp shocks. We further develop these methods to allow for a more challenging class of problems including problems with sonic points, shocks originating in the interior of the domain, rarefaction waves, and two-dimensional systems. We show that fast sweeping methods can produce higher-order accuracy. Computational results validate the claims of accuracy, sharp shock curves, and optimal computational efficiency.
Place, publisher, year, edition, pages
2015. Vol. 286, 70-86 p.
Conservation laws, Hyperbolic equations, Fast sweeping methods, Numerical analysis
Computer Science Physical Sciences Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-161597DOI: 10.1016/j.jcp.2015.01.028ISI: 000349600600006ScopusID: 2-s2.0-84921969402OAI: oai:DiVA.org:kth-161597DiVA: diva2:798011
QC 201503252015-03-252015-03-132015-03-25Bibliographically approved