Viscous inertial modes on a differentially rotating sphere: Comparison with solar observations

Inertial modes in a rotating triaxial ellipsoid.

In this work, we present an algorithm that enables computation of inertial modes and their corresponding frequencies in a rotating triaxial ellipsoid. The method consists of projecting the inertial mode equation onto finite-dimensional bases of polynomial vector fields. It is shown that this leads to a well-posed eigenvalue problem, and hence, that eigenmodes are of polynomial form. Furthermore...

Viscous dissipation by tidally forced inertial modes in a rotating spherical shell

We investigate the properties of forced inertial modes of a rotating fluid inside a spherical shell. Our forcing is tidal like, but its main property is that it is on the large scales. By numerically solving the linear equations of this problem, including viscosity, we first confirm some analytical results obtained on a two-dimensional model by Ogilvie (2005); some additional properties of this...

Inertial modes of slowly rotating isentropic stars

We investigate inertial mode oscillations of slowly and uniformly rotating, isentropic, Newtonian stars. Inertial mode oscillations are induced by the Coriolis force due to the star’s rotation, and their characteristic frequencies are comparable with the rotation frequency Ω of the star. So called r-mode oscillations form a sub-class of the inertial modes. In this paper, we use the term “r-mode...

Stability of differentially heated flow from a rotating sphere

Inertial effects on Saffman–Taylor viscous fingering

By CHRISTOPHE CHEVALIER, MARTINE BEN AMAR, DANIEL BONN AND ANKE LINDNER Laboratoire de Physique et Mécanique des Milieux Hétérogènes, UMR 7636 CNRS, Université Paris 6, Ecole Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, 75231 Paris cedex 05, France Laboratoire de Physique Statistique, UMR 8550 CNRS, Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris cedex 05, France E...