title: A fast strong coupling algorithm for the partitioned fluid-structure interaction simulation of BMHVs.
abstract: The numerical simulation of Bileaflet Mechanical Heart Valves (BMHVs) has gained strong interest in the last years, as a design and optimisation tool. In this paper, a strong coupling algorithm for the partitioned fluid-structure interaction simulation of a BMHV is presented. The convergence of the coupling iterations between the flow solver and the leaflet motion solver is accelerated by using the Jacobian with the derivatives of the pressure and viscous moments acting on the leaflets with respect to the leaflet accelerations. This Jacobian is numerically calculated from the coupling iterations. An error analysis is done to derive a criterion for the selection of useable coupling iterations. The algorithm is successfully tested for two 3D cases of a BMHV and a comparison is made with existing coupling schemes. It is observed that the developed coupling scheme outperforms these existing schemes in needed coupling iterations per time step and CPU time.
authors.affiliation: Department of Flow, Heat and Combustion Mechanics, Ghent University, Ghent, Belgium. Sebastiaan.Annerel@UGent.be
authors.forename: Sebastiaan
authors.initials: S
authors.lastname: Annerel
authors.forename: Joris
authors.initials: J
authors.lastname: Degroote
authors.forename: Tom
authors.initials: T
authors.lastname: Claessens
authors.forename: Sigrid K
authors.initials: SK
authors.lastname: Dahl
authors.forename: Bjørn
authors.initials: B
authors.lastname: Skallerud
authors.forename: Leif Rune
authors.initials: LR
authors.lastname: Hellevik
authors.forename: Peter
authors.initials: P
authors.lastname: Van Ransbeeck
authors.forename: Patrick
authors.initials: P
authors.lastname: Segers
authors.forename: Pascal
authors.initials: P
authors.lastname: Verdonck
authors.forename: Jan
authors.initials: J
authors.lastname: Vierendeels
mesh_terms: D000465:Algorithms; D001021:Aortic Valve / Q000033:anatomy & histology / Q000502:physiology; D001696:Biomechanical Phenomena / Q000502:physiology; D003198:Computer Simulation; D006350:Heart Valve Prosthesis / Q000706:statistics & numerical data; D018056:Hemorheology / Q000502:physiology; D006801:Humans; D021621:Imaging, Three-Dimensional; D008955:Models, Cardiovascular