dc.creator | Chacón Rebollo, Tomás | es |
dc.creator | Girault, Vivette | es |
dc.creator | Murat, François | es |
dc.creator | Pironneau, Olivier | es |
dc.date.accessioned | 2016-10-21T06:10:44Z | |
dc.date.available | 2016-10-21T06:10:44Z | |
dc.date.issued | 2016 | |
dc.identifier.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. | |
dc.identifier.issn | 0036-1429 | es |
dc.identifier.issn | 1095-7170 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47879 | |
dc.description.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. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM Journal on Numerical Analysis, 54 (2), 994-1019. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Fluid-structure interaction | es |
dc.subject | Compliant walls | es |
dc.subject | Finite element method | es |
dc.subject | Convergence analysis | es |
dc.subject | Navier-Stokes equations | es |
dc.subject | Blood flow | es |
dc.title | Analysis of a coupled fluid-structure model with applications to hemodynamics | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012-36124-
C02-01 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2015-64577-C2-1-R | es |
dc.relation.publisherversion | http://epubs.siam.org/doi/pdf/10.1137/140991509 | es |
dc.identifier.doi | 10.1137/140991509 | es |
dc.contributor.group | Universidad de Sevilla. FQM120: Modelado Matemático y Simulación de Sistemas Medioambientales | es |
idus.format.extent | 26 p. | es |
dc.journaltitle | SIAM Journal on Numerical Analysis | es |
dc.publication.volumen | 54 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 994 | es |
dc.publication.endPage | 1019 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47879 | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | |