Numerical simulation of Oldroyd-B fluid with application to hemodynamics

Oldroyd-B viscoelastic fluid is numerically simulated using the stabilized Galerkin least squares finite element method. The instabilities due to the connective nature of the Oldroyd-B model is treated using the discrete viscous elastic split stress method. The model is used to study the behavior of the flow of blood through an abdominal aortic segment. The results show that the viscoelastic nature of the blood should be considered specially at low shear rates. © The Author(s) 2019.