Article
Analysis of a coupled fluid-structure model with applications to hemodynamics
Author/s | Chacón Rebollo, Tomás
Girault, Vivette Murat, François Pironneau, Olivier |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2016 |
Deposit Date | 2016-10-21 |
Published in |
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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 ... 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. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2012-36124-
C02-01
info:eu-repo/grantAgreement/MINECO/MTM2015-64577-C2-1-R |
Citation | 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. |
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