Oberseminar Numerische Mathematik / Scientific Computing
Miloslav Feistauer
Charles University Prague
Finite element simulation of flow induced airfoil vibrations
Abstract:
The subject of the lecture is the finite element solution of fluid-structure interaction problems. Our main attention will be paid to the simulation of flow induced airfoil vibrations. A solid airfoil with two or three degrees of freedom, which can rotate around the elastic axis and oscillate in the vertical direction, is considered. The numerical simulation consists of the finite element solution of the incompressible Navier-Stokes equations coupled with 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. The time discretization is carried out by the backward difference formula. In space the conforming stabilized finite element method is used. As a result a sufficiently accurate and robust method is developed, which is applied to the case of flow induced airfoil vibrations with large amplitudes after loosing the aeroelastic stability. The computational results are compared with known aerodynamical data and with results of aeroelastic calculations obtained by NASTRAN code for a linear approximation.
| Datum: | 10.11.2008 | Zeit: | 16:15 Uhr | Ort: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Raum: | 032 im Erdgeschoss |