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Stabilized Finite Element Approximations of Flow Over a Self-Oscillating Airfoil

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Petr Sváček

    (Czech Technical University in Prague, Department of Technical Mathematics)

  • Jaromír Horáček

    (Academy of Sciences of the Czech Republic, Institute of Thermomechanics)

Abstract

The paper presents the comparison of numerical solution of a 2D aeroelastic problem and experimental results. For the numerical approximation the coupled formulation of a turbulent flow over an oscillating solid airfoil is considered. The flow is modelled by the incompressible Reynolds averaged Navier–Stokes (RANS) equations rewritten in Arbitrary Lagrangian–Eulerian (ALE) form and discretized by the stabilized finite element method (FEM). The numerical results are compared with the results of optical measurements of flow field around an elastically supported vibrating double circular arc (DCA) 18% profile. The measurements were performed above the critical airflow velocity for loss of the system stability by flutter. The numerical results for the time dependent pressure distribution on the fluttering airfoil are presented.

Suggested Citation

  • Petr Sváček & Jaromír Horáček, 2010. "Stabilized Finite Element Approximations of Flow Over a Self-Oscillating Airfoil," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 847-854, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_91
    DOI: 10.1007/978-3-642-11795-4_91
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