NUMERICAL TESTS OF VANISHING DIFFUSION STABILIZATION IN OLDROYD-B FLUID FLOW SIMULATIONS

This work presents some numerical tests of finite element solution of incompressible Oldroyd-B fluids flows, using different types of numerical stabilization. In this study the diffusive term (Laplacian of extra stress) is added to the tensorial constitutive relation where it is multiplied by a coefficient, that is variable in time. The goal is to make this diffusion coefficient vanish in time, so that the final solution remains unaffected by the added diffusion term. A series of numerical tests was performed for the steady two-dimensional Oldroyd-B fluid flow in corrugated channel (tube) to compare different versions of the vanishing stabilization terms and assess their efficiency in enforcing the solution convergence, without affecting the final steady state.

Automated summary

This work presents numerical tests on the finite element solution of incompressible Oldroyd-B fluid flows using different types of numerical stabilization. The goal is to make the diffusion coefficient vanish in time, ensuring that the final solution remains unaffected by the added diffusion term.