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

摘要

A fully-coupled partitioned finite volume–finite volume and hybrid finite volume–finite elementfluid–structure interaction scheme is presented. The fluid domain is modelled as a viscous incompressibleisothermal region governed by the Navier–Stokes equations and discretised using an edge-basedhybrid-unstructured vertex-centred finite volume methodology. The structure, consisting of a homogeneousisotropic elastic solid undergoing large, non-linear deformations, is discretised using eitheran elemental/nodal-strain finite volume approach or isoparametric Q8 finite elements and is solvedusing a matrix-free dual-timestepping approach. Coupling is on the solver sub-iteration level leadingto a tighter coupling than if the subdomains are converged separately. The solver is parallelised fordistributed-memory systems using METIS for domain-decomposition and MPI for inter-domain communication.The developed technology is evaluated by application to benchmark problems for stronglycoupledfluid–structure interaction systems. It is demonstrated that the scheme results in full couplingbetween the fluid and solid domains, whilst furnishing accurate solutions.