Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

On the Influence of Diffusion Stabilization in Oldroyd-B Fluid Flow Simulations
Pires M., Bodnár T.
Abstract:
This work presents some numerical tests of finite element solution of incompressible Oldroyd-B fluid flows. The effect of numerical stabilization using artificial stress diffusion is investigated in detail. The limits of Weissenberg number We for which it is possible to obtain the numerical solution were studied depending on the Reynolds number Re and the diffusion parameter. Series of numerical tests were performed for steady two-dimensional Oldroyd-B fluid flow in corrugated channel (tube). The numerical results clearly proved the advantage (higher attainable We) of stabilized numerical method over the classical formulation without the artificial stress diffusion.
Keywords:
Finite Element Method, Oldroyd-B Fluid, Numerical Stabilization, Stres Diffusion.

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2020.023

In Proceedings Topical Problems of Fluid Mechanics 2020, Prague, 2020 Edited by David Šimurda and Tomáš Bodnár, pp. 176-183 ISBN 978-80-87012-74-1 (Print) ISSN 2336-5781 (Print)