On the influence of diffusion stabilization in Oldroyd-B fluid flow simulations

0523867 - MÚ 2021 RIV CZ eng C - Conference Paper (international conference)
Pires, M. - Bodnár, Tomáš
On the influence of diffusion stabilization in Oldroyd-B fluid flow simulations.
Proceedings of Topical Problems of Fluid Mechanics 2020. Praha: Institute of Thermomechanics of the Czech Academy of Sciences, 2020 - (Šimurda, D.; Bodnár, T.), s. 176-183. ISBN 978-80-87012-74-1. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2020. Prague (CZ), 19.02.2020-21.02.2020]
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : finite element method * Oldroyd-B fluid * numerical stabilization * stres diffusion
OECD category: Pure mathematics
https://doi.org/10.14311/TPFM.2020.023

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.
Permanent Link: http://hdl.handle.net/11104/0308144