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.

An embedded surface method for valve simulation : application to stenotic aortic valve estimation / P. Causin, N. Diniz dos Santos, J.F. Gerbeau, C. Guivier, P. Metier (ESAIM. PROCEEDINGS). - In: CEMRACS 2004 - Mathematics and applications to biology and medicine[s.l] : EDP sciences, 2005. - pp. 48-62 (( convegno CEMRACS : Mathematics and applications to biology and medicine tenutosi a Marseille nel 2004 [10.1051/proc:2005005].

An embedded surface method for valve simulation : application to stenotic aortic valve estimation

P. Causin
Primo
;
2005

Abstract

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.
fluid-structure interaction; Navier-Stokes; fictitious domain; Lagrange multiplier; valve; stenosis; aorta
Settore MAT/08 - Analisi Numerica
Summer Mathematical Research Center on Scientific Computing and Its Applications
Book Part (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/17362
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