Accession Number:

ADA558584

Title:

Optimal Mixing On The Sphere

Descriptive Note:

Corporate Author:

WOODS HOLE OCEANOGRAPHIC INSTITUTION MA

Personal Author(s):

Report Date:

2010-11-10

Pagination or Media Count:

22.0

Abstract:

The mixing of tracers on the surface of a sphere has many geophysical applications from the advection of volcanic ash to the global redistribution of temperature and angular momentum by atmospheric general circulation. Due to the difficulties of spherical geometry, such as the poles and the isotropy between the meridional and zonal directions, previous work on optimal mixing focuses instead on the d-dimensional torus 5, 7, 8. Here we are motivated by the geophysical problem of temperature redistribution over the surface of the sphere given a heat source at the equator and cooling at the poles. What flow most efficiently mixes the temperature field and how do the characteristics of these optimal flows compare to similar flows on the torus

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE