An enhanced finite volume method to model 2D linear elastic structures

Suliman, Ridhwaan; Oxtoby, Oliver F.; Malan, A.G.; Kok, Schalk

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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