Arnold-Beltrami-Childress (ABC) Flows

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
The ABC flow, a three-parameter velocity field that provides a simple stationary solution of Euler's equations in three dimensions for incompressible, inviscid fluid flows, can be considered to be a prototype for the study of turbulence. It is named after V. Arnold, E. Beltrami, and S. Childress.
[more]
Contributed by: Enrique Zeleny (August 2012)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The ABC flow is explicitly given by:
,
,
.
Reference
[1] R. Ricca, An Introduction to the Geometry and Topology of Fluid Flows, Dordrecht; Boston: Kluwer Academic Publishers, 2001.
Permanent Citation