On the Numerical Evaluation of Wall Shear Stress Using the Finite Element Method.

ABSTRACT: Wall shear stress (WSS) is a crucial hemodynamic quantity extensively studied in cardiovascular research, yet its numerical computation is not straightforward. This work compares WSS results obtained from two different finite element discretizations, quantifies the differences between continuous and discontinuous stresses, and introduces a modified variationally consistent method for WSS evaluation through the formulation of a boundary-flux problem. Two benchmark problems are considered: a 2D Stokes flow on a unit square and a 3D Poiseuille flow through a cylindrical pipe. These are followed by investigations of steady-state Navier-Stokes flow in two image-based, patient-specific aneurysms. The study focuses on P1/P1 stabilized and Taylor-Hood P2/P1 mixed finite elements for velocity and p

SUBMITTER: Brunatova J 

PROVIDER: S-EPMC12426767 | biostudies-literature | 2025 Sep

REPOSITORIES: biostudies-literature