Notes on accuracy of finite-volume discretization schemes on irregular grids

Authors:
Boris Diskin;James L. Thomas
Affiliations:
National Institute of Aerospace (NIA), 100 Exploration Way., Hampton, VA 23681, United States and Mechanical & Aerospace Engineering Department, University of Virginia, Charlottesville, VA 22902, ...;Computational Aerosciences Branch, NASA Langley Research Center, Mail Stop 128, Hampton, VA 23681-2199, United States
Venue:
Applied Numerical Mathematics
Year:
2010

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Abstract

These notes rebut some overreaching conclusions of Svard et al., 2008 [19] concerning relations between truncation and discretization errors on irregular grids. Convergence of truncation errors severely degrades on general irregular grids. Such degradation does not necessarily imply a less than design-order convergence of discretization errors.