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Energy stable and high-order-accurate finite difference methods on staggered grids
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering. Stanford University, USA.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Stanford University, USA.
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. 346, 18 p.572-589 p.Article in journal (Refereed) Published
Abstract [en]

For wave propagation over distances of many wavelengths, high-order finite difference methods on staggered grids are widely used due to their excellent dispersion properties. However, the enforcement of boundary conditions in a stable manner and treatment of interface problems with discontinuous coefficients usually pose many challenges. In this work, we construct a provably stable and high-order-accurate finite difference method on staggered grids that can be applied to a broad class of boundary and interface problems. The staggered grid difference operators are in summation-by-parts form and when combined with a weak enforcement of the boundary conditions, lead to an energy stable method on multiblock grids. The general applicability of the method is demonstrated by simulating an explosive acoustic source, generating waves reflecting against a free surface and material discontinuity.

Place, publisher, year, edition, pages
Academic Press, 2017. Vol. 346, 18 p.572-589 p.
Keyword [en]
Staggered grids High order finite difference methods Summation-by-parts Weakly enforced boundary conditions Energy stability Wave propagation
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-139343DOI: 10.1016/j.jcp.2017.06.030ISI: 000406465000029Scopus ID: 2-s2.0-85021952350OAI: oai:DiVA.org:liu-139343DiVA: diva2:1121529
Note

Funding agencies: Department of Geophysics at Stanford University

Available from: 2017-07-11 Created: 2017-07-11 Last updated: 2017-08-22Bibliographically approved

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The full text will be freely available from 2019-06-23 15:50
Available from 2019-06-23 15:50

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Nordström, Jan

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  • apa
  • harvard1
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  • vancouver
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  • Other style
More styles
Language
  • de-DE
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  • nn-NB
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Output format
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