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Elimination of first order errors in shock calculations
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.
KTH, Superseded Departments, Aeronautical and Vehicle Engineering.ORCID iD: 0000-0002-9061-4174
FFA, Sweden; Uppsala University, Department of Scientific Computing, Sweden.
2001 (English)In: SIAM Journal on Numerical Analysis, ISSN 0036-1429, E-ISSN 1095-7170, Vol. 38, no 6, 1986-1998 p.Article in journal (Refereed) Published
Abstract [en]

First order errors downstream of shocks have been detected in computations with higher order shock capturing schemes in one and two dimensions. Based on a matched asymptotic expansion analysis we show how to modify the artificial viscosity and raise the order of accuracy.

Place, publisher, year, edition, pages
SIAM PUBLICATIONS , 2001. Vol. 38, no 6, 1986-1998 p.
Keyword [en]
hyperbolic conservation law, artificial viscosity, central difference scheme, asymptotic analysis, finite-difference schemes, simulation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-20467DOI: 10.1137/S0036142998349412ISI: 000167675400009Scopus ID: 2-s2.0-0041909745OAI: oai:DiVA.org:kth-20467DiVA: diva2:339162
Note

QC 20100525

Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2016-09-28Bibliographically approved

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Efraimsson, Gunilla

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