A matrix free, partitioned solution of fluid-structure interaction problems using finite volume and finite element methods

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Authors

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

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

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/nodal-strain 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 domain-decomposition and MPI for inter-domain communication. The developed technology is evaluated by application to benchmark problems for stronglycoupled fluid–structure interaction systems. It is demonstrated that the scheme results in full coupling between the fluid and solid domains, whilst furnishing accurate solutions.

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Keywords

Fluid–structure interaction, Partitioned solution, Arbitrary Lagrangian–Eulerian (ALE), Finite volume methods, Finite element methods, Parallelisation

Sustainable Development Goals

SDG-09: Industry, innovation and infrastructure
SDG-11: Sustainable cities and communities

Citation

Suliman, R, Oxtoby, OF, Malan, AG & 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.