Repositorio de producción científica de la Universidad de Sevilla

Analysis of a coupled fluid-structure model with applications to hemodynamics

 

Advanced Search
 
Opened Access Analysis of a coupled fluid-structure model with applications to hemodynamics
Cites

Show item statistics
Icon
Export to
Author: Chacón Rebollo, Tomás
Girault, Vivette
Murat, François
Pironneau, Olivier
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2016
Published in: SIAM Journal on Numerical Analysis, 54 (2), 994-1019.
Document type: Article
Abstract: We propose and analyze a simplified fluid-structure coupled model for flows with compliant walls. As in [F. Nobile and C. Vergara, SIAM J. Sci. Comput., 30 (2008), pp. 731-763], the wall reaction to the fluid is modeled by a small displacement viscoelastic shell where the tangential stress components and displacements are neglected. We show that within this small displacement approximation a transpiration condition can be used which does not require an update of the geometry at each time step, for pipe flow at least. Such simplifications lead to a model which is well posed and for which a semi-implicit time discretization can be shown to converge. We present some numerical results and a comparison with a standard test case taken from hemodynamics. The model is more stable and less computer demanding than full models with moving mesh. We apply the model to a three-dimensional arterial flow with a stent.
Cite: Chacón Rebollo, T., Girault, V., Murat, F. y Pironneau, O. (2016). Analysis of a coupled fluid-structure model with applications to hemodynamics. SIAM Journal on Numerical Analysis, 54 (2), 994-1019.
Size: 1.129Mb
Format: PDF

URI: http://hdl.handle.net/11441/47879

DOI: 10.1137/140991509

See editor´s version

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)