Suliman, RidhwaanOxtoby, Oliver FMalan, AGKok, S2014-05-282014-05-282014-04Suliman, R, Oxtoby, O.F, Malan, A.G and Kok, S. 2014. An enhanced finite volume method to model 2D linear elastic structures. Applied Mathematical Modelling, vol. 38(7-8), pp 2265-22790307-904Xhttp://hdl.handle.net/10204/7437Copyright: 2014 Elsevier. This is the pre/post print version of the work. The definitive version is published in Applied Mathematical Modelling, vol. 38(7-8), pp 2265-2279This 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.enFinite volumeFinite elementsVertex-centred finite volumeLinear elastic structuresTraditional isoparametric finite elementArticleSuliman, R., Oxtoby, O. F., Malan, A., & Kok, S. (2014). An enhanced finite volume method to model 2D linear elastic structures. http://hdl.handle.net/10204/7437Suliman, Ridhwaan, Oliver F Oxtoby, AG Malan, and S Kok "An enhanced finite volume method to model 2D linear elastic structures." (2014) http://hdl.handle.net/10204/7437Suliman R, Oxtoby OF, Malan A, Kok S. An enhanced finite volume method to model 2D linear elastic structures. 2014; http://hdl.handle.net/10204/7437.TY - Article AU - Suliman, Ridhwaan AU - Oxtoby, Oliver F AU - Malan, AG AU - Kok, S AB - 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. DA - 2014-04 DB - ResearchSpace DP - CSIR KW - Finite volume KW - Finite elements KW - Vertex-centred finite volume KW - Linear elastic structures KW - Traditional isoparametric finite element LK - https://researchspace.csir.co.za PY - 2014 SM - 0307-904X T1 - An enhanced finite volume method to model 2D linear elastic structures TI - An enhanced finite volume method to model 2D linear elastic structures UR - http://hdl.handle.net/10204/7437 ER -