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On Higher-Order Space-Time Discretization of an Nonlinear Aeroelastic Problem with the Consideration of Large Displacements

In: Numerical Mathematics and Advanced Applications 2011

Author

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  • P. Sváček

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

Abstract

This paper focuses on the mathematical and numerical modelling of interaction of the two-dimensional incompressible fluid flow and a flexibly supported airfoil section with a control section. A simplified problem is considered: The flow is modelled by the system of Navier-Stokes equations and and the structure motion is described with the aid of nonlinear ordinary differential equations. The time-dependent computational domain is taken into account by the Arbitrary Lagrangian-Eulerian method. Higher order time discretization is considered within the stabilized finite element method. The application of the described method is shown.

Suggested Citation

  • P. Sváček, 2013. "On Higher-Order Space-Time Discretization of an Nonlinear Aeroelastic Problem with the Consideration of Large Displacements," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 597-605, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_63
    DOI: 10.1007/978-3-642-33134-3_63
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