Analysis of first order errors in shock calculations in two space dimensions
2005 (English)In: SIAM Journal on Numerical Analysis, ISSN 0036-1429, E-ISSN 1095-7170, Vol. 43, no 2, 672-685 p.Article in journal (Refereed) Published
Numerical computations show that solutions of hyperbolic conservation laws obtained by second or higher order shock capturing methods in many cases are only first order accurate downstream of shocks (see, e.g., [M. H. Carpenter and J.H. Casper, AIAA J., 37 (1999), pp. 1072 1079]). We use matched asymptotic expansions to analyze the degeneration in order of accuracy for stationary solutions of hyperbolic conservation laws in two space dimensions.
Place, publisher, year, edition, pages
2005. Vol. 43, no 2, 672-685 p.
hyperbolic conservation laws, shock wave, shock capturing, artificial viscosity, asymptotic analysis, conservation-laws, modified equations, elimination, profiles, schemes
Fluid Mechanics and Acoustics
IdentifiersURN: urn:nbn:se:kth:diva-15081DOI: 10.1137/040603462ISI: 000232354700011ScopusID: 2-s2.0-33646486762OAI: oai:DiVA.org:kth-15081DiVA: diva2:333122
QC 201005252010-08-052010-08-052016-09-16Bibliographically approved