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A cell-based smoothed finite element model for non-Newtonian blood flow

Author

Listed:
  • Liu, Mingyang
  • Gao, Guangjun
  • Khoo, Boo Cheong
  • He, Zhenhu
  • Jiang, Chen

Abstract

Smoothed Finite Element Method (S-FEM) has drawn increasing attention in the field of computational fluid dynamics (CFD) and the present work seeks to make further contribution to this growing field of S-FEM by simulating for the non-Newtonian blood flow. This investigation took the form of Streamline Upwind Petrov-Galerkin in conjunction with Stabilized Pressure Gradient Projection (SUPG/SPGP) to alleviate the spatial oscillation and instability problems. The validation of the cell-based S-FEM (CS-FEM) combined with SUPG/SPGP was carried out by the blood flow over a backward-facing step. The performances of the presented method were explored by the blood flow in the carotid bifurcation and blood flow in the intracranial segment of internal carotid artery. Impressively, the results exhibit good features of the CS-FEM on solving severely distorted mesh vis-a-vis the standard finite element method (FEM). The presented method could realize the accurate prediction in the mentioned complex blood flows as the same as Finite Volume Method software STAR-CCM+.

Suggested Citation

  • Liu, Mingyang & Gao, Guangjun & Khoo, Boo Cheong & He, Zhenhu & Jiang, Chen, 2022. "A cell-based smoothed finite element model for non-Newtonian blood flow," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    • Handle: RePEc:eee:apmaco:v:435:y:2022:i:c:s0096300322005549
    DOI: 10.1016/j.amc.2022.127480
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    References listed on IDEAS

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    1. Ruslan Abdulkadirov & Pavel Lyakhov, 2022. "Estimates of Mild Solutions of Navier–Stokes Equations in Weak Herz-Type Besov–Morrey Spaces," Mathematics, MDPI, vol. 10(5), pages 1-13, February.
    2. Li, Y. & Liu, G.R., 2019. "A novel node-based smoothed finite element method with linear strain fields for static, free and forced vibration analyses of solids," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 30-58.
    3. Tong, Yanchun, 2018. "High precision solution for thermo-elastic equations using stable node-based smoothed finite element method," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 272-287.
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