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A Cartesian non-boundary fitted grid method on complex geometries and its application to the blood flow in the aorta using OpenFOAM

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  • Zakaria, Mohamad Shukri
  • Ismail, Farzad
  • Tamagawa, Masaaki
  • Aziz, Ahmad Fazli Abdul
  • Wiriadidjaja, Surjatin
  • Basri, Adi Azrif
  • Ahmad, Kamarul Arifin

Abstract

The aim of this paper is to develop a new non-boundary fitted (NBF) Cartesian grid method to compute flows in a complex geometry such as that found in a human aorta. The algorithm is based on the volume of fluid (VOF) colour function in a regular Cartesian grid through the open source OpenFOAM platform. The solid was treated as a fluid with very high viscosity to theoretically reduce its deformability, and subsequently satisfy a no-slip condition at the boundary. We also introduced the artificial term of the colour function into an algebraic system of momentum equations, which had a significant impact on the non deformability of solid domain and originality of this study. The developed solver, NBF-VOF, is then thoroughly validated using a variety of numerical and experimental results available in the literature Finally, we demonstrated the applicability of our code on flows in a complex geometry based on patient-specific image data robustly without the need for complex meshing generation procedures that conventional boundary fitted (BF) methods do.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:159:y:2019:i:c:p:220-250
    DOI: 10.1016/j.matcom.2018.11.014
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    1. 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.
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