An accuracy evaluation of unstructured node-centred finite volume methods
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
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.
navier-stokes equations, turbulent flows, grids, implicit, meshes, stability
Engineering and Technology
IdentifiersURN: 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
QC 201005252010-08-052010-08-052016-04-18Bibliographically approved