On mathematical modelling of gust response using the finite element method

Sváček, Petr; Horáček, Jaromír

  • Applications of Mathematics 2013, Publisher: Institute of Mathematics AS CR(Prague), page 197-206

Abstract

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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.

How to cite

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Sváček, Petr, and Horáček, Jaromír. "On mathematical modelling of gust response using the finite element method." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 197-206. <http://eudml.org/doc/287787>.

@inProceedings{Sváček2013,
abstract = {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.},
author = {Sváček, Petr, Horáček, Jaromír},
booktitle = {Applications of Mathematics 2013},
keywords = {aeroelastic; incompressible; viscous; fluid flow; fluid structure interaction; Navier-Stokes equations; arbitrary Lagrangian-Eulerian form},
location = {Prague},
pages = {197-206},
publisher = {Institute of Mathematics AS CR},
title = {On mathematical modelling of gust response using the finite element method},
url = {http://eudml.org/doc/287787},
year = {2013},
}

TY - CLSWK
AU - Sváček, Petr
AU - Horáček, Jaromír
TI - On mathematical modelling of gust response using the finite element method
T2 - Applications of Mathematics 2013
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 197
EP - 206
AB - 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.
KW - aeroelastic; incompressible; viscous; fluid flow; fluid structure interaction; Navier-Stokes equations; arbitrary Lagrangian-Eulerian form
UR - http://eudml.org/doc/287787
ER -

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