1CEMAT, Instituto Superior Técnico and Departamento de Matemática, ISEG, Lisbon, Portugal; 2Laboratoire de Mathématiques, Université Paris Sud, Orsay, France;
We present here a method to simulate the motion of a rigid body in a fluid. The method is based on a variational formulation on the whole fluid/solid domain, with some constraints on the unknown and the test functions. These constraints are relaxed by introducing a penalty term, which leads to a minimization problem over unconstrained functional spaces. This makes the method straightforward to implement from any finite element Stokes/Navier-Stokes solver. It is shown that, as the penalty parameter goes to infinity, we recover the coupled fluid-solid equations. We apply this approach to a simplified 2D model of the aortic valve.
1
CEMAT, Instituto Superior Técnico and Departamento de Matemática, ISEG, Lisbon, Portugal;
2
Laboratoire de Mathématiques, Université Paris Sud, Orsay, France;
João Janela; Aline Lefebvre; Bertrand Maury. A penalty method for the simulation of fluid - rigid body interaction. ESAIM. Proceedings, Tome 14 (2005), pp. 115-123. doi: 10.1051/proc:2005010
@article{EP_2005_14_a10,
author = {Jo\~ao Janela and Aline Lefebvre and Bertrand Maury},
title = {A penalty method for the simulation of fluid - rigid body interaction},
journal = {ESAIM. Proceedings},
pages = {115--123},
year = {2005},
volume = {14},
doi = {10.1051/proc:2005010},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:2005010/}
}
TY - JOUR
AU - João Janela
AU - Aline Lefebvre
AU - Bertrand Maury
TI - A penalty method for the simulation of fluid - rigid body interaction
JO - ESAIM. Proceedings
PY - 2005
SP - 115
EP - 123
VL - 14
UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:2005010/
DO - 10.1051/proc:2005010
LA - en
ID - EP_2005_14_a10
ER -
%0 Journal Article
%A João Janela
%A Aline Lefebvre
%A Bertrand Maury
%T A penalty method for the simulation of fluid - rigid body interaction
%J ESAIM. Proceedings
%D 2005
%P 115-123
%V 14
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:2005010/
%R 10.1051/proc:2005010
%G en
%F EP_2005_14_a10
