On finite element approximation of flow induced vibration of elastic structure

Valášek, Jan, Sváček, Petr, and Horáček, Jaromír. "On finite element approximation of flow induced vibration of elastic structure." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2017. 144-153. <http://eudml.org/doc/288174>.

@inProceedings{Valášek2017,
abstract = {In this paper the fluid-structure interaction problem is studied on a simplified model of the human vocal fold. The problem is mathematically described and the arbitrary Lagrangian-Eulerian method is applied in order to treat the time dependent computational domain. The viscous incompressible fluid flow and linear elasticity models are considered. The fluid flow and the motion of elastic body is approximated with the aid of finite element method. An attention is paid to the applied stabilization technique. The whole algorithm is implemented in an in-house developed solver. Numerical results are presented and the influence of different inlet boundary conditions is discussed.},
author = {Valášek, Jan, Sváček, Petr, Horáček, Jaromír},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {stabilized finite element method; 2D Navier-Stokes equations; vocal folds; aeroelasticity},
location = {Prague},
pages = {144-153},
publisher = {Institute of Mathematics CAS},
title = {On finite element approximation of flow induced vibration of elastic structure},
url = {http://eudml.org/doc/288174},
year = {2017},
}

TY - CLSWK
AU - Valášek, Jan
AU - Sváček, Petr
AU - Horáček, Jaromír
TI - On finite element approximation of flow induced vibration of elastic structure
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2017
CY - Prague
PB - Institute of Mathematics CAS
SP - 144
EP - 153
AB - In this paper the fluid-structure interaction problem is studied on a simplified model of the human vocal fold. The problem is mathematically described and the arbitrary Lagrangian-Eulerian method is applied in order to treat the time dependent computational domain. The viscous incompressible fluid flow and linear elasticity models are considered. The fluid flow and the motion of elastic body is approximated with the aid of finite element method. An attention is paid to the applied stabilization technique. The whole algorithm is implemented in an in-house developed solver. Numerical results are presented and the influence of different inlet boundary conditions is discussed.
KW - stabilized finite element method; 2D Navier-Stokes equations; vocal folds; aeroelasticity
UR - http://eudml.org/doc/288174
ER -