Title
High-order fluid-structure interaction in 2D and 3D application to blood flow in arteries
Abstract
This paper addresses the numerical approximation of fluid-structure interaction (FSI) problems through the arbitrary Lagrangian Eulerian (ALE) framework, high-order methods and a Dirichlet-Newmann approach for the coupling. The paper is divided into two main parts. The first part concerns the discretization method for the FSI problem. We introduce an improved ALE map, capable of handling curved geometries in 2D and 3D in a unified manner, that is based on a local differential operator. We also propose a minimal continuous interior penalty (CIP) stabilization term for the fluid discretization that accounts for a smaller computational effort, while stabilizing the flow regime. The second part is dedicated to validating our numerical strategy through a benchmark and some applications to blood flow in arteries.
Year
DOI
Venue
2013
10.1016/j.cam.2012.10.006
J. Computational Applied Mathematics
Keywords
Field
DocType
discretization method,high-order fluid-structure interaction,improved ale map,fsi problem,part concern,flow regime,numerical strategy,numerical approximation,blood flow,fluid discretization,main part
Discretization,Mathematical optimization,Coupling,Lagrangian,Blood flow,Mathematical analysis,Flow (psychology),Differential operator,Eulerian path,Mathematics,Fluid–structure interaction
Journal
Volume
ISSN
Citations 
246,
0377-0427
3
PageRank 
References 
Authors
0.48
4
3
Name
Order
Citations
PageRank
Vincent Chabannes1111.08
Gonçalo Pena251.62
Christophe Prud'homme3475.21