Chaotic dynamics of two-dimensional flows around a cylinder
Numerical Analysis
2023-11-15 v1 Numerical Analysis
Abstract
We study flow around a cylinder from a dynamics perspective, using drag and lift as indicators. We observe that the mean drag coefficient bifurcates from the steady case when the Karman vortex street emerges. We also find a jump in the dimension of the drag/lift attractor just above Reynolds number 100. We compare the simulated drag values with experimental data obtained over the last hundred years. Our simulations suggest that a vibrational resonance in the cylinder would be unlikely for Reynolds numbers greater than 1000, where the drag/lift behavior is fully chaotic.
Keywords
Cite
@article{arxiv.2311.07698,
title = {Chaotic dynamics of two-dimensional flows around a cylinder},
author = {L. Ridgway Scott and Rebecca Durst},
journal= {arXiv preprint arXiv:2311.07698},
year = {2023}
}
Comments
27 pages, including appendix