The Boussinesq approximation in rapidly rotating flows

Inverse cascade and symmetry breaking in rapidly rotating Boussinesq convection

On the Behavior of Velocity Fluctuations in Rapidly Rotating Flows

The behavior of velocity fluctuations subjected to rapid rotation is examined. The rapid rotation considered is any arbitrary combination of two basic forms of rotation, reference frame rotation and mean flow rotation. It is recognized that the two types of rotating flows differ in the manner in which the fluctuating fields are advected. The first category is comprised of flows in rotating syst...

Inertial waves in rapidly rotating flows: a dynamical systems perspective

An overview of recent developments in a wide variety of enclosed rapidly rotating flows is presented. Highlighted is the interplay between inertial waves, which have been predicted from linear inviscid considerations, and the viscous boundary layer dynamics which result from instabilities as the nonlinearities in the systems are increased. Further, even in the absence of boundary layer instabil...

Triadic resonances in precessing rapidly rotating cylinder flows

Direct numerical simulations of flows in cylinders subjected to both rapid rotation and axial precession are presented and analysed in the context of a stability theory based on the triadic resonance of Kelvin modes. For a case that was chosen to provide a finely tuned resonant instability with a small nutation angle, the simulations are in good agreement with the theory and previous experiment...

The dynamics of the radiative envelope of rapidly rotating stars I. A spherical Boussinesq model

Context. The observations of rapidly rotating stars are increasingly detailed and precise thanks to interferometry and asteroseismology; twodimensional models taking into account the hydrodynamics of these stars are very much needed. Aims. A model for studying the dynamics of baroclinic stellar envelope is presented. Methods. This models treats the stellar fluid at the Boussinesq approximation ...