Determination of Navier's slip parameter using data assimilation

Alena Jarolímová and Jaroslav Hron

Applied Mathematics and Computation, 2025, vol. 489, issue C

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.

Keywords: Navier's slip; Variational data assimilation; Navier–Stokes equations; Stabilized finite element method; Adjoint equations (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:489:y:2025:i:c:s0096300324006180

DOI: 10.1016/j.amc.2024.129157

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