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An accuracy evaluation of unstructured node-centred finite volume methods
Uppsala Univ., IT dept..ORCID iD: 0000-0002-3859-9480
2008 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 58, no 8, 1142-1158 p.Article in journal (Refereed) Published
Abstract [en]

Node-centred edge-based finite volume approximations are very common in computational fluid dynamics since they are assumed to run on structured, unstructured and even on mixed grids. We analyse the accuracy properties of both first and second derivative approximations and conclude that these schemes cannot be used on arbitrary grids as is often assumed. For the Euler equations first-order accuracy can be obtained if care is taken when constructing the grid. For the Navier-Stokes equations, the grid restrictions are so severe that these finite volume schemes have little advantage over structured finite difference schemes. Our theoretical results are verified through extensive computations.

Place, publisher, year, edition, pages
2008. Vol. 58, no 8, 1142-1158 p.
Keyword [en]
navier-stokes equations, turbulent flows, grids, implicit, meshes, stability
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-17655DOI: 10.1016/j.apnum.2007.05.002ISI: 000257232500006ScopusID: 2-s2.0-44149100025OAI: diva2:335699

QC 20100525

Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2016-04-18Bibliographically approved

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Svärd, MagnusGong, Jing
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