Variational multiscale stabilized FEM for cardiovascular flows in complex arterial vessels under magnetic forces

In this study, we present a variational multiscale stabilized finite element method for steady-state incompressible fluid flow under magnetic forces. In particular, an algebraic approach of approximating the subscales has been considered, and then, the stabilization parameters are derived using Four...

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Bibliographic Details
Main Authors: Sahoo Dipak Kumar, Rathi Anil, Kumar B. V. Rathish
Format: Article
Language:English
Published: De Gruyter 2024-03-01
Series:Computational and Mathematical Biophysics
Subjects:
Online Access:https://doi.org/10.1515/cmb-2023-0118
Description
Summary:In this study, we present a variational multiscale stabilized finite element method for steady-state incompressible fluid flow under magnetic forces. In particular, an algebraic approach of approximating the subscales has been considered, and then, the stabilization parameters are derived using Fourier analysis. The proposed scheme is used to trace the blood flow dynamics in complex arterial vessels under multiple pathological conditions. We examine the pressure and stress distribution in addition to the flow pattern to assess the criticality of the diseased condition.
ISSN:2544-7297