Temporal Artificial Stress Diffusion for Numerical Simulations of Oldroyd-B Fluid Flow

This paper presents a numerical evaluation of two different artificial stress diffusion techniques for the stabilization viscoelastic Oldroyd-B fluid flows at high Weissenberg numbers. The standard in form Laplacian extra tensor is compared with newly proposed approach using discrete time derivative tensor. Both methods are implemented finite element code and demonstrated solution flow two-dimensional corrugated channel range simulations have shown that this new temporal not only efficiently stabilizes simulations, but also vanishes when reaches steady state. It contrast to tensorial diffusion, does affect final solution.