Viscous flow regimes in unit square: Part 4. Vorticity dynamics from monopoles to multipoles
Fluid Dynamics
2018-08-23 v1
Abstract
The initial-boundary value problem of the vorticity equation has been solved numerically by an iterative method. A variety of initial vorticity distributions is specified. All of them can be described by simple mathematical functions: there are a vorticity source-sink pair, circular shears out of a localised monopole, a cat's-eye topology and a few flows originating from single or multiple vortices. Our computational results show diverse flow phenomena, such as roll-ups of shear layers, vortex merging or impingement, as well as birth of spiral structures.
Keywords
Cite
@article{arxiv.1808.07328,
title = {Viscous flow regimes in unit square: Part 4. Vorticity dynamics from monopoles to multipoles},
author = {F. Lam},
journal= {arXiv preprint arXiv:1808.07328},
year = {2018}
}
Comments
13 pages, 21 plots