Skip to Main content Skip to Navigation
Journal articles

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 in 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 an unified manner, that is based on a local differential operator. We also propose a minimal 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 validate our numerical strategy through a benchmark and some applications to blood flow in arteries.
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download


https://hal.archives-ouvertes.fr/hal-00657622
Contributor : Christophe Prud'Homme Connect in order to contact the contributor
Submitted on : Thursday, February 2, 2012 - 7:59:10 AM
Last modification on : Tuesday, October 19, 2021 - 11:13:15 PM
Long-term archiving on: : Wednesday, December 14, 2016 - 3:23:13 AM

Files

vchabannes_gpena_cprudhomme_jc...
Files produced by the author(s)

Identifiers

Collections

Citation

Vincent Chabannes, Gonçalo Pena, Christophe Prud'Homme. High-order fluid-structure interaction in 2D and 3D. Application to blood flow in arteries. Journal of Computational and Applied Mathematics, Elsevier, 2013, 246, pp.1-9. ⟨10.1016/j.cam.2012.10.006⟩. ⟨hal-00657622v2⟩

Share

Metrics

Record views

1758

Files downloads

1866