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Numerical Simulation of Airfoil Vibrations Induced by Turbulent Flow

Published online by Cambridge University Press:  28 November 2014

Miloslav Feistauer ,
Jaromír Horáček  and
Petr Sváček
Miloslav Feistauer*
Affiliation:
Charles University in Prague, Faculty of Mathematics and Physics, Sokolovska 83, 186 75 Praha 8, Czech Republic Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Dolejškova 5, 182 00 Praha 8, Czech Republic
Jaromír Horáček
Affiliation:
Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Dolejškova 5, 182 00 Praha 8, Czech Republic
Petr Sváček
Affiliation:
Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Dolejškova 5, 182 00 Praha 8, Czech Republic Czech Technical University Prague, Faculty of Mechanical Engineering, Karlovo nam. 13, 121 35 Praha 2, Czech Republic
*
*Email addresses:[email protected](M. Feistauer), [email protected](J. Horáček), [email protected](P. Sváček)
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Abstract

The subject of the paper is the numerical simulation of the interaction of two-dimensional incompressible viscous flow and a vibrating airfoil with large amplitudes. The airfoil with three degrees of freedom performs rotation around an elastic axis, oscillations in the vertical direction and rotation of a flap. The numerical simulation consists of the finite element solution of the Reynolds averaged Navier-Stokes equations combined with Spalart-Allmaras or κ–ω turbulence models, coupled with a system of nonlinear ordinary differential equations describing the airfoil motion with consideration of large amplitudes. The time-dependent computational domain and approximation on a moving grid are treated by the Arbitrary Lagrangian-Eulerian formulation of the flow equations. Due to large values of the involved Reynolds numbers an application of a suitable stabilization of the finite element discretization is employed. The developed method is used for the computation of flow-induced oscillations of the airfoil near the flutter instability, when the displacements of the airfoil are large, up to ±40 degrees in rotation. The paper contains the comparison of the numerical results obtained by both turbulence models.

Keywords

74F1076D0576F6065N30Fluid-structure interactionflow induced vibrationsReynolds averaged Navier-Stokes equationsturbulence modelsfinite element methodcoupling algorithm
Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 1 , January 2015 , pp. 146 - 188
Copyright
Copyright © Global Science Press Limited 2015 

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