A fully-coupled partitioned finite volume–finite volume and hybrid finite volume–finite element fluid-structure interaction scheme is presented. The fluid domain is modelled as a viscous incompressible isothermal region governed by the Navier-Stokes equations and discretised using an edge-based hybrid-unstructured vertex-centred finite volume methodology. The structure, consisting of a homogeneous isotropic elastic solid undergoing large, non-linear deformations, is discretised using either an elemental/nodalstrain finite volume approach or isoparametric Q8 finite elements and is solved using a matrix-free dual-timestepping approach. Coupling is on the solver sub-iteration level leading to a tighter coupling than if the subdomains are converged separately. The solver is parallelised for distributed-memory systems using METIS for domaindecomposition and MPI for inter-domain communication. The developed technology is evaluated by application to benchmark problems for strongly-coupled fluid-structure interaction systems. It is demonstrated that the scheme effects full coupling between the fluid and solid domains, whilst furnishing accurate solutions.
Reference:
Suliman, R, Oxtoby, O.F, Malan, A.G and Kok, S. 2015. A matrix free, partitioned solution of fluid-structure interaction problems using finite volume and finite element methods. European Journal of Mechanics - B/Fluids, vol. 49(Part A), pp 272-286
Suliman, R., Oxtoby, O. F., Malan, A., & Kok, S. (2015). A matrix free, partitioned solution of fluid-structure interaction problems using finite volume and finite element methods. http://hdl.handle.net/10204/7794
Suliman, Ridhwaan, Oliver F Oxtoby, AG Malan, and S Kok "A matrix free, partitioned solution of fluid-structure interaction problems using finite volume and finite element methods." (2015) http://hdl.handle.net/10204/7794
Suliman R, Oxtoby OF, Malan A, Kok S. A matrix free, partitioned solution of fluid-structure interaction problems using finite volume and finite element methods. 2015; http://hdl.handle.net/10204/7794.
Copyright: 2015 Elsevier. This is the Pre print version of the work. The definitive version is published in European Journal of Mechanics - B/Fluids, vol. 49(Part A), pp 272-286