DGFEM for the analysis of airfoil vibrations induced by compressible flow

The subject of the paper is the numerical simulation of the interaction of two‐dimensional compressible viscous flow and a vibrating airfoil. A solid airfoil with two degrees of freedom performs rotation around an elastic axis and oscillations in the vertical direction. The numerical simulation consists of the solution of the Navier‐Stokes system by the discontinuous Galerkin method coupled with a system of nonlinear ordinary differential equations describing the airfoil motion. The time‐dependent computational domain and a moving grid are taken into account by the arbitrary Lagrangian‐Eulerian (ALE) formulation of the Navier‐Stokes equations. The developed method is robust with respect to the magnitude of the Mach number and Reynolds number. Its applicability is demonstrated by numerical experiments. The subject of the paper is the numerical simulation of the interaction of two‐dimensional compressible viscous flow and a vibrating airfoil. A solid airfoil with two degrees of freedom performs rotation around an elastic axis and oscillations in the vertical direction. The numerical simulation consists of the solution of the Navier‐Stokes system by the discontinuous Galerkin method coupled with a system of nonlinear ordinary differential equations describing the airfoil motion. The time‐dependent computational domain and a moving grid are taken into account by the arbitrary Lagrangian‐Eulerian (ALE) formulation of the Navier‐Stokes equations. The developed method is robust with respect to the magnitude of the Mach number and Reynolds number. Its applicability is demonstrated by numerical experiments.