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Determination of Navier's slip parameter using data assimilation

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  • Jarolímová, Alena
  • Hron, Jaroslav

Abstract

One of the crucial aspects of patient-specific blood flow simulations is to specify material parameters and boundary conditions. The choice of boundary conditions can have a substantial impact on the character of the flow. While no-slip is the most popular wall boundary condition, some amount of slip, which determines how much fluid is allowed to flow along the wall, might be beneficial for better agreement with flow patterns in medical images. However, even if one assumes the simple Navier's boundary conditions on the wall, in which the relationship between tangential components of the normal traction and the velocity is linear, the determination of the specific value of the slip parameter is often difficult.

Suggested Citation

  • Jarolímová, Alena & Hron, Jaroslav, 2025. "Determination of Navier's slip parameter using data assimilation," Applied Mathematics and Computation, Elsevier, vol. 489(C).
    • Handle: RePEc:eee:apmaco:v:489:y:2025:i:c:s0096300324006180
    DOI: 10.1016/j.amc.2024.129157
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    References listed on IDEAS

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    1. Guerra, Telma & Catarino, Catarina & Mestre, Tânia & Santos, Sara & Tiago, Jorge & Sequeira, Adélia, 2018. "A data assimilation approach for non-Newtonian blood flow simulations in 3D geometries," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 176-194.
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