Artificial Stress Diffusion in Numerical Simulations of Viscoelastic Fluid Flows

Abstract

Viscoelastic fluids are quite common in many areas of industrial, environmental, and biomedical fluid mechanics. There exist a number of models describing specific subclasses of these fluids, capturing their various distinct properties. Most of these models are rather complex, relating the stress tensor with the fluid rate of deformation tensor and its history. This is why the mathematical modeling and numerical simulations of viscoelastic fluid flows are some of the most challenging problems of contemporary computational fluid dynamics.