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

Sofia Eriksson; Jan Nordström

doi:10.1016/j.apnum.2009.06.001

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

Sofia Eriksson, Jan Nordström

Research output: Contribution to journal › Article › peer-review

12 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 language	English
Pages (from-to)	2659-2676
Number of pages	18
Journal	Applied Numerical Mathematics
Volume	59
Issue number	10
DOIs	https://doi.org/10.1016/j.apnum.2009.06.001
Publication status	Published - Oct 2009
Externally published	Yes

Keywords

Accuracy
Finite volume method

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/j.apnum.2009.06.001

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AB - 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.

KW - Accuracy

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

Abstract

Keywords

ASJC Scopus subject areas

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