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.
