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Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations
- 1.0571367 - MÚ 2024 RIV DE eng J - Journal Article
Pires, M. - Bodnár, Tomáš
Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations.
SN Applied Sciences. Roč. 5, č. 5 (2023), č. článku 135. ISSN 2523-3963
Institutional support: RVO:67985840
Keywords : artificial diffusion stabilization * finite element method * Oldroyd-B fluid * stress diffusion
OECD category: Pure mathematics
Impact factor: 2.6, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s42452-023-05348-1
Two different methods of artificial diffusion stabilization of the numerical simulations of steady Oldroyd-B fluids flows are presented. They are based on the idea of vanishing in time added stabilization terms which are only present during the initial stage of time-marching process towards the steady state solution. These extra terms naturally vanish and do not affect the final result. The numerical simulations are built on a simple steady 2D case of Oldroyd-B fluid flow in a symmetrical corrugated channel. Numerical solver uses finite element discretization in space and characteristic Galerkin method for pseudo-time discretization. Numerical results are presented in the form of isolines and graphs of selected flow variables, to assess the possible efficiency of the different stabilization techniques used.
Permanent Link: https://hdl.handle.net/11104/0342604
File Download Size Commentary Version Access Bodnar.pdf 0 9 MB Publisher’s postprint open-access
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