Abstract
The subject of this paper is the numerical simulation of the interaction of two--dimensional incompressible viscous flow and a vibrating airfoil. A solid elastically supported airfoil with two degrees of freedom, which can rotate around the elastic axis and oscillate in the vertical direction, is considered.
The numerical simulation consists of the stabilized finite element treatment of the Reynolds averaged Navier-Stokes (RANS) approach, the use of turbulence models and the solution of the system of ordinary differential equations describing the airfoil motion. The time dependent computational domain and a moving grid are taken into account with the aid of the Arbitrary Lagrangian--Eulerian (ALE) formulation of the Navier--Stokes equations.