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

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Authors

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

Journal Title

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Volume Title

Publisher

Elsevier

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.

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Keywords

Finite volume, Finite element, Locking, Error analysis

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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.