DGFEM for the analysis of airfoil vibrations induced by compressible flow

• ID: 2586, RIV: 10139205
• ISSN: 0044-2267, ISBN: not specified
• source: ZAMM Zeitschrift für Angewandte Mathematik und Mechanik
• keywords: compressible Navier-Stokes equations; time-dependent domain; ALE formulation; discontinuous Galerkin method; fluid-structure interaction; flow induced airfoil vibrations
• authors: Jan Česenek, Miloslav Feistauer, Adam Kosík
• authors from KNM: Feistauer Miloslav

Abstract

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.