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On Application of Stabilized Higher Order Finite Element Method on Unsteady Incompressible Flow Problems

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Petr Sváček

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

  • Jaromír Horáček

    (Czech Academy of Sciences, Institute of Thermomechanics)

Abstract

In this paper we address the problem of the numerical approximation of the incompressible flow around a vibrating airfoil. The robust higher order finite element method (FEM) for incompressible flow approximation is presented. The method is based on the combination of several techniques, e.g., the Arbitrary Lagrangian-Eulerian formulation of the Navier-Stokes equations, the stabilization of the finite element scheme and the linearization of the discrete nonlinear problem.

Suggested Citation

  • Petr Sváček & Jaromír Horáček, 2006. "On Application of Stabilized Higher Order Finite Element Method on Unsteady Incompressible Flow Problems," Springer Books, in: Alfredo Bermúdez de Castro & Dolores Gómez & Peregrina Quintela & Pilar Salgado (ed.), Numerical Mathematics and Advanced Applications, pages 897-905, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-34288-5_89
    DOI: 10.1007/978-3-540-34288-5_89
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