An enhanced finite volume method to model 2D linear elastic structures
| dc.contributor.author | Suliman, Ridhwaan | |
| dc.contributor.author | Oxtoby, Oliver F. | |
| dc.contributor.author | Malan, A.G. | |
| dc.contributor.author | Kok, Schalk | |
| dc.date.accessioned | 2014-07-01T11:55:45Z | |
| dc.date.available | 2014-07-01T11:55:45Z | |
| dc.date.issued | 2014-04 | |
| dc.description.abstract | This paper details the evaluation and enhancement of the vertex-centred finite volume method for the purpose of modelling linear elastic structures undergoing bending. A matrix-free edge-based finite volume procedure is discussed and compared with the traditional isoparametric finite element method via application to a number of test-cases. It is demonstrated that the standard finite volume approach exhibits similar disadvantages to the linear Q4 finite element formulation when modelling bending. An enhanced finite volume approach is proposed to circumvent this and a rigorous error analysis conducted. It is demonstrated that the developed finite volume method is superior to both standard finite volume and Q4 finite element methods, and provides a practical alternative to the analysis of bending-dominated solid mechanics problems. | en_US |
| dc.description.librarian | hb2014 | en_US |
| dc.description.uri | http://www.elsevier.com/locate/apm | en_US |
| dc.identifier.citation | Suliman, R, Oxtoby, OF, Malan, AG & Kok, S 2014, 'An enhanced finite volume method to model 2D linear elastic structures', Applied mathematical modelling, vol. 38, no. 7-8, pp. 2265-2279. | en_US |
| dc.identifier.issn | 0307-904X (print) | |
| dc.identifier.issn | 1872-8480 (online) | |
| dc.identifier.other | 10.1016/j.apm.2013.10.028 | |
| dc.identifier.uri | http://hdl.handle.net/2263/40478 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | Crown Copyright © 2013 Published by Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Applied Mathematical Modelling. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Mathematical Modelling, vol. 38, no.7-8, pp. 2265-2279, 2014., doi : 10.1016/j.apm.2013.10.028 | en_US |
| dc.subject | Finite volume | en_US |
| dc.subject | Finite element | en_US |
| dc.subject | Locking | en_US |
| dc.subject | Error analysis | en_US |
| dc.title | An enhanced finite volume method to model 2D linear elastic structures | en_US |
| dc.type | Postprint Article | en_US |