Advection Maps for Closed Flows

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Advection refers to the variation of a scalar field, induced by the effects of a superposed vector field, for example, the transport of pollutants to a river. A simple periodically repeating model of sinusoidal shear in a square region of size is considered, assuming velocities with inversion symmetry.

Contributed by: Enrique Zeleny (August 2012)
Open content licensed under CC BY-NC-SA


Snapshots


Details

For the velocity field, we choose

, , if ,

, , if ,

where is the maximum velocity and is the period, generating the mapping

where

.

Reference

[1] T. Tél and M. Gruiz, Chaotic Dynamics: An Introduction Based on Classical Mechanics, Cambridge, UK: Cambridge University Press, 2006.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send