Are there localized eddies in the trihedral corners of the Stokes eigenmodes in cubical cavity?

Abstract

Moffatt eddies were observed as companions of each Stokes eigenmode in the square, in [Leriche E, Labrosse G. J Comput Phys 2004;200:489–511], regardless of the eigenmode symmetry. The present paper brings an answer about the possible existence of analogous localized corner vortices in trihedral rectangular corners, from numerically computed Stokes eigenmodes in a cubical cavity. Our spectrally accurate results do no exhibit such localized structure.