Suliman, RidhwaanOxtoby, Oliver FMalan, AGKok, S2011-03-142011-03-142010-01Suliman, R, Oxtoby, O, Malan, AG et al. 2010. An enhanced matrix-free edge-based finite volume approach to model structures. 7th South African Conference on Computational and Applied Mechanics (SACAM10), Pretoria, 10-13 January 2010, pp 399-4069780620491921http://hdl.handle.net/10204/49007th South African Conference on Computational and Applied Mechanics (SACAM10), Pretoria, 10-13 January 2010This paper presents the formulation, implementation and evaluation of an enhanced matrix free edge-based finite volume approach to model the mechanics of solids undergoing large non-linear deformations. The developed technology is evaluated via application to a number of test-cases. As will be demonstrated, the finite volume approach exhibits distinct advantages over the Q4 finite element formulation. This provides an alternative approach to the analysis of solid mechanics and allows for the possibility of using a single discretisation strategy for both the fluid and structural domain and solving the resulting set of equations using a single solution method.enFinite volumeFinite elementEnhanced matix-free edgeEdge-basedLarge non-linear deformationsGalerkin methodApplied mechanicsSACAM 2010Conference PresentationSuliman, R., Oxtoby, O. F., Malan, A., & Kok, S. (2010). An enhanced matrix-free edge-based finite volume approach to model structures. http://hdl.handle.net/10204/4900Suliman, Ridhwaan, Oliver F Oxtoby, AG Malan, and S Kok. "An enhanced matrix-free edge-based finite volume approach to model structures." (2010): http://hdl.handle.net/10204/4900Suliman R, Oxtoby OF, Malan A, Kok S, An enhanced matrix-free edge-based finite volume approach to model structures; 2010. http://hdl.handle.net/10204/4900 .TY - Conference Presentation AU - Suliman, Ridhwaan AU - Oxtoby, Oliver F AU - Malan, AG AU - Kok, S AB - This paper presents the formulation, implementation and evaluation of an enhanced matrix free edge-based finite volume approach to model the mechanics of solids undergoing large non-linear deformations. The developed technology is evaluated via application to a number of test-cases. As will be demonstrated, the finite volume approach exhibits distinct advantages over the Q4 finite element formulation. This provides an alternative approach to the analysis of solid mechanics and allows for the possibility of using a single discretisation strategy for both the fluid and structural domain and solving the resulting set of equations using a single solution method. DA - 2010-01 DB - ResearchSpace DP - CSIR KW - Finite volume KW - Finite element KW - Enhanced matix-free edge KW - Edge-based KW - Large non-linear deformations KW - Galerkin method KW - Applied mechanics KW - SACAM 2010 LK - https://researchspace.csir.co.za PY - 2010 SM - 9780620491921 T1 - An enhanced matrix-free edge-based finite volume approach to model structures TI - An enhanced matrix-free edge-based finite volume approach to model structures UR - http://hdl.handle.net/10204/4900 ER -