A fast strong coupling algorithm for the partitioned fluid–structure interaction simulation of BMHVs

Sebastiaan Annerel, Joris Degroote, Tom Claessens, Sigrid Dahl, Bjørn Skallerud, Leif Hellevik, Peter Van Ransbeeck, Patrick Segers, Pascal Verdonck and Jan Vierendeels

Computer Methods in Biomechanics and Biomedical Engineering, 2012, vol. 15, issue 12, 1281-1312

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.

Date: 2012
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DOI: 10.1080/10255842.2011.586946

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