A numerical characterization of the attractor for a fluid-structure interaction problem

In this paper, starting from some known theoretical results, the long-term dynamics of a fluid-structure interaction problem for a Poiseuille flow through a 2D channel containing a rectangular obstacle are investigated from a numerical point of view. From a physical point of view, the wind-induced motions of the deck of a bridge are modeled similarly to a wind tunnel experiment at large times. In particular, we are concerned about the explicit characterization of the global attractor of the problem, that is the subset of the phase space to which eventually all the trajectories of the system approach.