Numerical approximation of flow in a symmetric channel with vibrating walls

Sváček, Petr, and Horáček, Jaromír. "Numerical approximation of flow in a symmetric channel with vibrating walls." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2010. 183-196. <http://eudml.org/doc/271359>.

@inProceedings{Sváček2010,
abstract = {In this paper the numerical solution of two dimensional fluid-structure interaction problem is addressed. The fluid motion is modelled by the incompressible unsteady Navier-Stokes equations. The spatial discretization by stabilized finite element method is used. The motion of the computational domain is treated with the aid of Arbitrary Lagrangian Eulerian (ALE) method. The time-space problem is solved with the aid of multigrid method. The method is applied onto a problem of interaction of channel flow with moving walls, which models the air flow in the glottal region of the human vocal tract. The pressure boundary conditions and the effects of the isotropic and anisotropic mesh refinement are discussed. The numerical results are presented.},
author = {Sváček, Petr, Horáček, Jaromír},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {vibrating walls; arbitrary Lagrangian Eulerian; Navier-Stokes equations},
location = {Prague},
pages = {183-196},
publisher = {Institute of Mathematics AS CR},
title = {Numerical approximation of flow in a symmetric channel with vibrating walls},
url = {http://eudml.org/doc/271359},
year = {2010},
}

TY - CLSWK
AU - Sváček, Petr
AU - Horáček, Jaromír
TI - Numerical approximation of flow in a symmetric channel with vibrating walls
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2010
CY - Prague
PB - Institute of Mathematics AS CR
SP - 183
EP - 196
AB - In this paper the numerical solution of two dimensional fluid-structure interaction problem is addressed. The fluid motion is modelled by the incompressible unsteady Navier-Stokes equations. The spatial discretization by stabilized finite element method is used. The motion of the computational domain is treated with the aid of Arbitrary Lagrangian Eulerian (ALE) method. The time-space problem is solved with the aid of multigrid method. The method is applied onto a problem of interaction of channel flow with moving walls, which models the air flow in the glottal region of the human vocal tract. The pressure boundary conditions and the effects of the isotropic and anisotropic mesh refinement are discussed. The numerical results are presented.
KW - vibrating walls; arbitrary Lagrangian Eulerian; Navier-Stokes equations
UR - http://eudml.org/doc/271359
ER -