In this article, three dimensional (3D) lid-driven flow in shallow cavities with a unit square base are studied. The numerical solution of the Navier–Stokes equations modeling incompressible viscous fluid flow in a cavity is obtained via a methodology combining a first order accurate operator-splitting scheme, a -projection Stokes solver, a wave-like equation treatment of the advection and finite element space approximations. Numerical results of a lid-driven flow in a cubic cavity show a good agreement with those reported in literature. The critical Reynolds numbers () for having flow with increasing of oscillating amplitude (a Hopf bifurcation) in different shallow cavities are obtained and associated oscillating modes are studied.
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Tsorng-Whay Pan 1 ; Shang-Huan Chiu 2 ; Aixia Guo 1 ; Jiwen He 1
@article{CRMECA_2023__351_S1_685_0, author = {Tsorng-Whay Pan and Shang-Huan Chiu and Aixia Guo and Jiwen He}, title = {Numerical study of transitions in lid-driven flows in shallow cavities}, journal = {Comptes Rendus. M\'ecanique}, pages = {685--701}, publisher = {Acad\'emie des sciences, Paris}, volume = {351}, number = {S1}, year = {2023}, doi = {10.5802/crmeca.166}, language = {en}, }
TY - JOUR AU - Tsorng-Whay Pan AU - Shang-Huan Chiu AU - Aixia Guo AU - Jiwen He TI - Numerical study of transitions in lid-driven flows in shallow cavities JO - Comptes Rendus. Mécanique PY - 2023 SP - 685 EP - 701 VL - 351 IS - S1 PB - Académie des sciences, Paris DO - 10.5802/crmeca.166 LA - en ID - CRMECA_2023__351_S1_685_0 ER -
%0 Journal Article %A Tsorng-Whay Pan %A Shang-Huan Chiu %A Aixia Guo %A Jiwen He %T Numerical study of transitions in lid-driven flows in shallow cavities %J Comptes Rendus. Mécanique %D 2023 %P 685-701 %V 351 %N S1 %I Académie des sciences, Paris %R 10.5802/crmeca.166 %G en %F CRMECA_2023__351_S1_685_0
Tsorng-Whay Pan; Shang-Huan Chiu; Aixia Guo; Jiwen He. Numerical study of transitions in lid-driven flows in shallow cavities. Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 685-701. doi : 10.5802/crmeca.166. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.166/
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