  We consider the interaction of an incompressible fluid described by a Leray
model with a hyperelastic structure modeled as a Saint Venant-Kirchhoff
material. We focus on a strongly coupled, partitioned fluid-structure
interaction (FSI) solver in a finite volume environment, combined with an
arbitrary Lagrangian-Eulerian approach to deal with the motion of the fluid
domain. The main novelty of this paper lies in applying a Leray model for the
description of the flow field within a FSI context. For the implementation of
the Leray model, which features a nonlinear differential low-pass filter, we
adopt a three-step algorithm called Evolve-Filter-Relax. All the computational
results presented in this article have been obtained with solids4Foam, the FSI
toolbox developed for foam-extend, a branch of OpenFOAM. We validate our
approach against numerical data available in the literature for the 3D cross
flow past a cantilever beam at Reynolds number 100 and 400.
