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Stable artificial dissipation operators for finite volume schemes on unstructured grids
Uppsala Univ., IT dept..ORCID iD: 0000-0002-3859-9480
2006 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 56, no 12, 1481-1490 p.Article in journal (Refereed) Published
Abstract [en]

Our objective is to derive stable first-, second- and fourth-order artificial dissipation operators for node based finite volume schemes. Of particular interest are general unstructured grids where the strength of the finite volume method is fully utilised. A commonly used finite volume approximation of the Laplacian will be the basis in the construction of the artificial dissipation. Both a homogeneous dissipation acting in all directions with equal strength and a modification that allows different amount of dissipation in different directions are derived. Stability and accuracy of the new operators are proved and the theoretical results are supported by numerical computations.

Place, publisher, year, edition, pages
Elsevier, 2006. Vol. 56, no 12, 1481-1490 p.
Keyword [en]
finite volume schemes, unstructured grids, artificial dissipation, stability
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-16028DOI: 10.1016/j.apnum.2005.11.002ISI: 000241005200001ScopusID: 2-s2.0-33748414753OAI: diva2:334070

QC 20100525

Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2016-05-12Bibliographically approved

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Svärd, MagnusGong, Jing
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