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Viscous flow regimes in unit square: Part 4. Vorticity dynamics from monopoles to multipoles

2018/08/22 by F. Lam, Lam, F.
Engineering · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Vibration and Dynamic Analysis

paper · pdf · doi:10.48550/arxiv.1808.07328

openalex publication_date 2018/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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