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

Author

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

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.

Suggested Citation

  • Sebastiaan Annerel & Joris Degroote & Tom Claessens & Sigrid Dahl & Bjørn Skallerud & Leif Hellevik & Peter Van Ransbeeck & Patrick Segers & Pascal Verdonck & Jan Vierendeels, 2012. "A fast strong coupling algorithm for the partitioned fluid–structure interaction simulation of BMHVs," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 15(12), pages 1281-1312.
    • Handle: RePEc:taf:gcmbxx:v:15:y:2012:i:12:p:1281-1312
    DOI: 10.1080/10255842.2011.586946
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    Cited by:

    1. Zakaria, Mohamad Shukri & Ismail, Farzad & Tamagawa, Masaaki & Aziz, Ahmad Fazli Abdul & Wiriadidjaja, Surjatin & Basri, Adi Azrif & Ahmad, Kamarul Arifin, 2019. "A Cartesian non-boundary fitted grid method on complex geometries and its application to the blood flow in the aorta using OpenFOAM," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 159(C), pages 220-250.

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