CFD Simulation of Interaction between a Fluid and a Vibrating Profile

This work deals with numerical simulation of incompressible flow over a profile vibrating with two degrees of freedom. The profile can oscillate around prescribed elastic axis and vibrate in vertical direction and its motion is induced by the flow. The finite volume method was chosen for the solution, namely the so called Modified Causon’s Scheme, which is derived from TVD form of the classical predictor-corrector MacCormack scheme and enhanced with the use of the Arbitrary Lagrangian-Eulerian method in order to simulate unsteady flows. Various initial settings are considered (different inlet velocities, initial deviation angles and shifts in vertical direction). Stiffness is modelled both as linear and non-linear. Obtained results are compared with NASTRAN analysis (Čečrdle and Maleček, Verification FEM model of an aircraft construction with two and three degrees of freedom. Technical report R-3418/02, Aeronautical Research and Test Establishment, Prague, Letňany, 2002. In Czech). The resulting critical velocities for unstable oscillations are in the same interval for all simulated cases.