Analysis of the order of accuracy for node-centered finite volume schemes

Sofia Eriksson, Jan Nordström

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)2659-2676
Number of pages18
JournalApplied Numerical Mathematics
Volume59
Issue number10
DOIs
Publication statusPublished - Oct 2009
Externally publishedYes

Keywords

  • Accuracy
  • Finite volume method

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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