Chacón Rebollo, TomásGirault, VivetteMurat, FrançoisPironneau, Olivier2016-10-212016-10-212016Chacón 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), 994-1019.0036-14291095-7170http://hdl.handle.net/11441/47879We 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Fluid-structure interactionCompliant wallsFinite element methodConvergence analysisNavier-Stokes equationsBlood flowinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1137/140991509