Application of a stabilized FEM to problems of aeroelasticity

This paper is concerned with modelling of fluid-structure interaction. We consider two-dimensional viscous incompressible flow past a moving airfoil, which is considered as a solid body with two degrees of freedom, allowing vertical and torsional oscillations of the airfoil. The fluid flow is simulated by the Navier-Stokes equations in the Arbitrary Lagrangian-Eulerian formulation, discretized by the finite element method. We describe the SUPG stabilization of the FEM, time discretization, equations describing the motion of the airfoil and the solution of the discrete problem. The solution of a test problem is presented.