Topic
Digon
About: Digon is a research topic. Over the lifetime, 1 publications have been published within this topic receiving 1 citations. The topic is also known as: 2-gon & demisquare.
Papers
TL;DR: In this article, it was shown that 2D Navier-Stokes and Euler flows with localised vorticity always feature regular structures in the far field, and that the level lines of each component of the velocity, at large distances, tend to have the symmetries of a regular polygon: a digon if the total circulation is non-zero; a square for flows with zero total circulation and non-integrable velocity; an hexagon for flows having integrably velocity and, exceptionally, a polygon with more than six sides.
Abstract: We show that 2D Navier–Stokes and Euler flows with localised vorticity always feature regular structures in the far field. The level lines of each component of the velocity, at large distances, tend to have the symmetries of a regular polygon: a digon if the total circulation is non-zero; a square for flows with zero total circulation and non-integrable velocity; an hexagon for flows with integrable velocity and, exceptionally, a polygon with more than six sides.
5 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |