Chiral Pattern in Nonrotating Spherical Convection
Fluid Dynamics
2022-01-24 v1
Abstract
When the Rayleigh number is low, Rayleigh-B\'enard convection in a nonrotating spherical shell with central gravity has symmetric solutions in terms of three-dimensional discrete rotation. All the known patterns with the regular polyhedral symmetries accompany reflection symmetry. We found a new type of steady convection in a nonrotating spherical shell by computer simulations. The pattern has the discrete rotational symmetry of a regular tetrahedron with no reflection symmetry. The convection consists of six pairs of spiral rolls placed on 12 faces of a spherical dodecahedron. Depending on the winding of the spirals, there are two possible configurations that are mirror images of one another.
Cite
@article{arxiv.2201.08513,
title = {Chiral Pattern in Nonrotating Spherical Convection},
author = {Akira Kageyama and Nobuaki Ohno},
journal= {arXiv preprint arXiv:2201.08513},
year = {2022}
}