On finite element approximation of fluid structure interaction by Taylor-Hood and Scott-Vogelius elements

Vacek, Karel, and Sváček, Petr. "On finite element approximation of fluid structure interaction by Taylor-Hood and Scott-Vogelius elements." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2023. 259-268. <http://eudml.org/doc/299002>.

@inProceedings{Vacek2023,
abstract = {This paper focuses on mathematical modeling and finite element simulation of fluid-structure interaction problems. A simplified problem of two-dimensional incompressible fluid flow interacting with a rigid structure, whose motion is described with one degree of freedom, is considered. The problem is mathematically described and numerically approximated using the finite element method. Two possibilities, namely Taylor-Hood and Scott-Vogelius elements are presented and implemented. Finally, numerical results of the flow around the cylinder are shown and compared with the reference data.},
author = {Vacek, Karel, Sváček, Petr},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {finite element method; FSI problem; ALE method; Taylor-Hood element; Scott-Vogelius element},
location = {Prague},
pages = {259-268},
publisher = {Institute of Mathematics CAS},
title = {On finite element approximation of fluid structure interaction by Taylor-Hood and Scott-Vogelius elements},
url = {http://eudml.org/doc/299002},
year = {2023},
}

TY - CLSWK
AU - Vacek, Karel
AU - Sváček, Petr
TI - On finite element approximation of fluid structure interaction by Taylor-Hood and Scott-Vogelius elements
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2023
CY - Prague
PB - Institute of Mathematics CAS
SP - 259
EP - 268
AB - This paper focuses on mathematical modeling and finite element simulation of fluid-structure interaction problems. A simplified problem of two-dimensional incompressible fluid flow interacting with a rigid structure, whose motion is described with one degree of freedom, is considered. The problem is mathematically described and numerically approximated using the finite element method. Two possibilities, namely Taylor-Hood and Scott-Vogelius elements are presented and implemented. Finally, numerical results of the flow around the cylinder are shown and compared with the reference data.
KW - finite element method; FSI problem; ALE method; Taylor-Hood element; Scott-Vogelius element
UR - http://eudml.org/doc/299002
ER -