Application of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations

0571367 - MÚ 2024 RIV DE eng J - Článek v odborném periodiku
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
Institucionální podpora: RVO:67985840
Klíčová slova: artificial diffusion stabilization * finite element method * Oldroyd-B fluid * stress diffusion
Obor OECD: Pure mathematics
Impakt faktor: 2.6, rok: 2022
Způsob publikování: 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.
Trvalý link: https://hdl.handle.net/11104/0342604