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Computational flow analysis with boundary layer and contact representation: II. Heart valve flow with leaflet contact

Journal

JOURNAL OF MECHANICS
Volume 38, Issue -, Pages 185-194

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/jom/ufac013

Keywords

ventricle; heart valve; ST isogeometric analysis (ST-IGA); inflow stabilization

Categories

Funding

  1. JST-CREST from Japan Society for the Promotion of Science [18H04100]
  2. Rice-Waseda research agreement
  3. Japan Society for the Promotion of Science [16K13779]
  4. ARO [W911NF-17-1-0046, W911NF-21-C-0030]
  5. Top Global University Project of Waseda University
  6. Grants-in-Aid for Scientific Research [18H04100] Funding Source: KAKEN

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This article provides an overview of heart valve flow analyses using boundary layer and contact representation with space-time computational methods, overcoming challenges in maintaining high-resolution flow representation near the valve surfaces, which is important for cardiac flow simulations.
In this second part of a two-part article, we provide an overview of the heart valve flow analyses conducted with boundary layer and contact representation, made possible with the space-time (ST) computational methods described in the first part. With these ST methods, we are able to represent the boundary layers near moving solid surfaces, including the valve leaflet surfaces, with the accuracy one gets from moving-mesh methods and without the need for leaving a mesh protection gap between the surfaces coming into contact. The challenge of representing the contact between the leaflets without giving up on high-resolution flow representation near the leaflet surfaces has been overcome. The other challenges that have been overcome include the complexities of a near-actual valve geometry, having in the computational model a left ventricle with an anatomically realistic motion and an aorta from CT scans and maintaining the flow stability at the inflow of the ventricle-valve-aorta sequence, where we have a traction boundary condition during part of the cardiac cycle.

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