Oscillatory instability of fully 3D flow in a cubic diagonally lid-driven cavity
Fluid Dynamics
2020-10-22 v1
Abstract
A transition to unsteadiness of a flow inside a cubic diagonally lid-driven cavity with no-slip boundaries is numerically investigated by a series of direct numerical simulations (DNS) performed on 100^3 and 200^3 stretched grids. It is found that the observed oscillatory instability is setting in via a subcritical symmetry-breaking Hopf bifurcation. The instability evolves on two vortices in a coupled manner. Critical values of Reynolds number Recr=2320 and non-dimensional angular oscillating frequency omegacr=0.249 for transition from steady to oscillatory flow are accurately estimated. Characteristic patterns of the 3D oscillatory flow are presented.
Keywords
Cite
@article{arxiv.1306.3267,
title = {Oscillatory instability of fully 3D flow in a cubic diagonally lid-driven cavity},
author = {Yuri Feldman},
journal= {arXiv preprint arXiv:1306.3267},
year = {2020}
}