Change search
ReferencesLink to record
Permanent link

Direct link
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
Identifiers
URN: urn:nbn:se:kth:diva-17655DOI: 10.1016/j.apnum.2007.05.002ISI: 000257232500006ScopusID: 2-s2.0-44149100025OAI: oai:DiVA.org:kth-17655DiVA: diva2:335699
Note

QC 20100525

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

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Svärd, MagnusGong, Jing
In the same journal
Applied Numerical Mathematics
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 30 hits
ReferencesLink to record
Permanent link

Direct link