Interaction of compressible fluid with bodies

In the present work we study interaction of compressible viscous and inviscid flow with airfoil. We describe Euler equations and compressible Navier-Stokes equations. The space and time discretization of these equations in timedependent domains is made with the aid of the discontinuous Galerkin finite element method (DGFEM). To study the flow in the time-dependent domains the Arbitrary Lagrangian-Eulerian (ALE) method is used. The equations describing motion of airfoil with two degrees of freedom are derived. We present and compare results of the flow with prescribed airfoil motion and of fluidstructure interaction for both viscous and inviscid flow. We present subsonic and transonic results