Numerical tests of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations

0554563 - MÚ 2022 RIV CZ eng C - Conference Paper (international conference)
Pires, M. - Bodnár, Tomáš
Numerical tests of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations.
Proceedings of Topical Problems of Fluid Mechanics 2021. Prague: Institute of Thermomechanics AS CR, v. v. i., 2021 - (Bodnár, T.; Neustupa, T.; Šimurda, D.), s. 102-109. ISBN 978-80-87012-76-5. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2021. on-line (CZ), 17.02.2021-19.02.2021]
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : finite element method * oldroyd-B fluid * numerical stabilization * stress diffusion
OECD category: Pure mathematics
https://doi.org/10.14311/TPFM.2021.014

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.
Permanent Link: http://hdl.handle.net/11104/0329272