Analysis of the order of accuracy for node-centered finite volume schemes
2009 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 59, no 10, 2659-2676 p.Article in journal (Refereed) Published
The order of accuracy of the node-centered finite volume methods is analyzed, and the analysis is based on an exact derivation of the numerical errors in one dimension. The accuracy for various types of grids are considered. Numerical simulations and analysis are performed for both a hyperbolic and a elliptic case, and the results agree. The impact of weakly imposed boundary conditions is analyzed and verified numerically. We show that the error contribution from the primal and dual grid can be treated separately.
Place, publisher, year, edition, pages
Elevier , 2009. Vol. 59, no 10, 2659-2676 p.
Accuracy; Finite volume method
Computational Mathematics Computer Science
IdentifiersURN: urn:nbn:se:liu:diva-68540DOI: 10.1016/j.apnum.2009.06.001ISI: 000268513700023OAI: oai:DiVA.org:liu-68540DiVA: diva2:418798
Sofia Eriksson and Jan Nordström, Analysis of the order of accuracy for node-centered finite volume schemes, 2009, Applied Numerical Mathematics, (59), , 2659-2676.
Copyright: Elsevier Science B.V., Amsterdam.