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Analysis of first order errors in shock calculations in two space dimensions
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Aeroacoustics.ORCID iD: 0000-0002-9061-4174
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
Abstract [en]

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.
Keyword [en]
hyperbolic conservation laws, shock wave, shock capturing, artificial viscosity, asymptotic analysis, conservation-laws, modified equations, elimination, profiles, schemes
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-15081DOI: 10.1137/040603462ISI: 000232354700011Scopus ID: 2-s2.0-33646486762OAI: oai:DiVA.org:kth-15081DiVA: diva2:333122
Note

QC 20100525

Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Efraimsson, Gunilla

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