@Article{CiCP-21-2,
author = {},
title = {Local Error Analysis and Comparison of the Swept- and Intersection-Based Remapping Methods},
journal = {Communications in Computational Physics},
year = {2017},
volume = {21},
number = {2},
pages = {526--558},
abstract = {<p style="text-align: justify;">In this paper, the numerical error of two widely used methods for remapping
of discrete quantities from one computational mesh to another is investigated. We
compare the intuitive, but resource intensive method utilizing intersections of computational
cells with the faster and simpler swept-region-based method. Both algorithms
are formally second order accurate, however, they are known to produce slightly different
quantity profiles in practical applications. The second-order estimate of the error
formula is constructed algebraically for both algorithms so that their local accuracy can
be evaluated. This general estimate is then used to assess the dependence of the performance
of both methods on parameters such as the second derivatives of the remapped
distribution, mesh geometry or mesh movement. Due to the complexity of such analysis,
it is performed on a set of simplified elementary mesh patterns such as cell corner
expansion, rotation or shear. On selected numerical tests it is demonstrated that the
swept-based method can distort a symmetric quantity distribution more substantially
than the intersection-based approach when the computational mesh moves in an unsuitable
direction.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2015-0021},
url = {https://global-sci.com/article/80089/local-error-analysis-and-comparison-of-the-swept-and-intersection-based-remapping-methods}
}