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Application of a Stabilized FEM to Problems of Aeroelasticity

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Petr Sváček

    (Czech Technical University Prague, Department of Technical Mathematics, Faculty of Mechanical Engineering)

  • Miloslav Feistauer

    (Charles University Prague, Faculty of Mathematics and Physics)

Abstract

Summary This paper is concerned with modelling of fluid-structure interaction. We consider two-dimensional viscous incompressible flow past a moving airfoil, which is considered as a solid body with two degrees of freedom, allowing vertical and torsional oscillations of the airfoil. The fluid flow is simulated by the Navier-Stokes equations in the Arbitrary Lagrangian-Eulerian formulation, discretized by the finite element method. We describe the SUPG stabilization of the FEM, time discretization, equations describing the motion of the airfoil and the solution of the discrete problem. The solution of a test problem is presented.

Suggested Citation

  • Petr Sváček & Miloslav Feistauer, 2004. "Application of a Stabilized FEM to Problems of Aeroelasticity," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 796-805, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_78
    DOI: 10.1007/978-3-642-18775-9_78
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