Chizari, Hossain ORCID: https://orcid.org/0000-0002-6630-1880 and Ismail, Farzad 2017. Accuracy variations in residual distribution and finite volume methods on triangular grids. Bulletin of the Malaysian Mathematical Sciences Society 40 (3) , pp. 1231-1264. 10.1007/s40840-015-0292-0 |
Abstract
This paper presents an analytical and numerical approach in studying accuracy deterioration of residual distribution and cell-vertex finite volume methods on triangular grids. Results herein demonstrate that both methods preserve the order-of-accuracy reasonably well for uniformly skewed triangular grids and the L2 errors of both second-order accurate methods behave similarly with values of the same magnitude. On the other hand, the first-order finite volume method has an L2 error of about an order of magnitude higher than its residual distribution counterpart. Both first-order methods are unable to preserve the order-of-accuracy for high-frequency data when the grids are highly skewed although the residual distribution approach has a slightly better performance. Both second-order methods perform quite decently for high-frequency data on uniformly skewed grids. However, the order-of-accuracy of finite volume methods excessively deteriorate when the grids are skewed non-uniformly unlike the residual distribution methods which preserve the order-of-accuracy.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Engineering |
Publisher: | Springer Science Business Media |
ISSN: | 0126-6705 |
Date of Acceptance: | 14 October 2015 |
Last Modified: | 05 Nov 2022 02:42 |
URI: | https://orca.cardiff.ac.uk/id/eprint/135202 |
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