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

Authors:
Sofia Eriksson;Jan Nordström
Affiliations:
Department of Information Technology, Uppsala University, Box 337, SE-75105 Uppsala, Sweden;Department of Information Technology, Uppsala University, Box 337, SE-75105 Uppsala, Sweden and Department of Aeronautics and Systems Integration, FOI, The Swedish Defence Research Agency, SE-164 ...
Venue:
Applied Numerical Mathematics
Year:
2009

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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.