Geodesic
An embedded surface method for valve simulation. Application to stenotic aortic valve estimation
Paola Causin1 ; Jean-Frédéric Gerbeau2 ; Carine Guivier3 ; Paul Métier4
1CMCS/IACS, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland; paola.causin@epfl.ch
2INRIA - Projet REO - B.P.105 F-78153 Le Chesnay Cedex, France; Jean-Frederic.Gerbeau@inria.fr
3IRPHE UMR 6594, Equipe de Biomécanique Cardiovasculaire, Institut Méditerranéen de Technologie, F-13451 Marseille cedex 20, France; guivier.carine@esm2.imt-mrs.fr
4Commissariat à l'Énergie Atomique (CEA), DEN/DM2S/SFME/LTMF Saclay, F-91191 Gif sur Yvette Cedex, France; pmetier@cea.fr
ESAIM. Proceedings, Tome 14 (2005), pp. 48-62
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This work deals with the modelling and the simulation of a moving rigid valve in a blood flow. We consider a fluid-structure coupling between an unsteady incompressible Navier-Stokes system for the fluid, and an ODE for the structure with a rotation angle as only degree of freedom. The kinematic constraint on the fluid-structure interface is enforced via a Lagrange multiplier. A fictitious domain approach allows us to use a fixed grid for the fluid domain, and also to easily consider large valve displacements. We present numerical results and we discuss clinical indexes used to characterize aortic valve stenosis.
DOI : 10.1051/proc:2005005

Paola Causin  1   ; Jean-Frédéric Gerbeau  2   ; Carine Guivier  3   ; Paul Métier  4

1 CMCS/IACS, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland; paola.causin@epfl.ch
2 INRIA - Projet REO - B.P.105 F-78153 Le Chesnay Cedex, France; Jean-Frederic.Gerbeau@inria.fr
3 IRPHE UMR 6594, Equipe de Biomécanique Cardiovasculaire, Institut Méditerranéen de Technologie, F-13451 Marseille cedex 20, France; guivier.carine@esm2.imt-mrs.fr
4 Commissariat à l'Énergie Atomique (CEA), DEN/DM2S/SFME/LTMF Saclay, F-91191 Gif sur Yvette Cedex, France; pmetier@cea.fr 
@article{EP_2005_14_a5,
     author = {Paola Causin and Jean-Fr\'ed\'eric Gerbeau and Carine Guivier and Paul M\'etier},
     title = {An embedded surface method for valve simulation. {Application} to stenotic aortic valve estimation},
     journal = {ESAIM. Proceedings},
     pages = {48--62},
     year = {2005},
     volume = {14},
     doi = {10.1051/proc:2005005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:2005005/}
}
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%J ESAIM. Proceedings
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Paola Causin; Jean-Frédéric Gerbeau; Carine Guivier; Paul Métier. An embedded surface method for valve simulation. Application to stenotic aortic valve estimation. ESAIM. Proceedings, Tome 14 (2005), pp. 48-62. doi: 10.1051/proc:2005005

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