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Summation-by-Parts Operators with Minimal Dispersion Error for Coarse Grid Flow Calculations
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Rossby Centre SMHI, Norrköping, Sweden.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2017 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 340, 34 p.160-176 p.Article in journal (Refereed) Published
Abstract [en]

We present a procedure for constructing Summation-by-Parts operators with minimal dispersion error both near and far from numerical interfaces. Examples of such operators are constructed and compared with a higher order non-optimised Summation-by-Parts operator. Experiments show that the optimised operators are superior for wave propagation and turbulent flows involving large wavenumbers, long solution times and large ranges of resolution scales.

Place, publisher, year, edition, pages
Elsevier, 2017. Vol. 340, 34 p.160-176 p.
Keyword [en]
Summation-by-Parts, Dispersion relation, Finite differences, Wave Propagation
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-136474DOI: 10.1016/j.jcp.2017.03.039OAI: oai:DiVA.org:liu-136474DiVA: diva2:1088493
Available from: 2017-04-12 Created: 2017-04-12 Last updated: 2017-04-24Bibliographically approved

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The full text will be freely available from 2019-04-01 13:13
Available from 2019-04-01 13:13

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Linders, ViktorNordström, Jan
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