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.

EUDML-ID : urn:eudml:doc:287787
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@article{702947,
     title = {On mathematical modelling of gust response using the finite element method},
     booktitle = {Applications of Mathematics 2013},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {197-206},
     mrnumber = {MR3204444},
     zbl = {1340.74033},
     url = {http://dml.mathdoc.fr/item/702947}
}

Sváček, Petr; Horáček, Jaromír. On mathematical modelling of gust response using the finite element method, dans Applications of Mathematics 2013, GDML_Books,  (2013), pp. 197-206. http://gdmltest.u-ga.fr/item/702947/