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Article

Sváček, Petr ; Horáček, Jaromír
On mathematical modelling of gust response using the finite element method. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 197-206
MSC: 65M60, 74F10, 76D05, 76G25, 76M12 | MR 3204444 | Zbl 1340.74033
Keywords:
aeroelastic; incompressible; viscous; fluid flow; fluid structure interaction; Navier-Stokes equations; arbitrary Lagrangian-Eulerian form
Summary:
In this paper the numerical approximation of aeroelastic response to sudden gust is presented. The fully coupled formulation of two dimensional incompressible viscous fluid flow over a flexibly supported structure is used. The flow is modelled with the system of Navier-Stokes equations written in Arbitrary Lagrangian-Eulerian form and coupled with system of ordinary differential equations describing the airfoil vibrations with two degrees of freedom. The Navier-Stokes equations are spatially discretized by the fully stabilized finite element method. The numerical results are shown.
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