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 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.