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.
Reference:
Suliman, 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 399-406
Suliman, 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/10204/4900
Suliman, 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/10204/4900
Suliman 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 .
