Near-Inertial Waves in Strongly Baroclinic Currents

Evolution of near-inertial waves

The three-dimensional evolution of near-inertial internal gravity waves is investigated for the case of a laterally unbounded fluid layer of constant finite depth. A general Green’s function formulation is derived which can be used to solve initial value problems or study the effect of forcing. The Green’s function is expanded in vertical normal modes, and is very singular. Convolutions with fi...

Stalling of near-inertial waves in a cyclone

[1] Observations at the edge of the Loop Current after hurricane Katrina show inertial energy amplified at a depth of approximately 600 700 m. Ray-analysis using the eddy field obtained from a numerical simulation with data assimilation suggests that the amplification is due to inertial motions stalled in a deep cyclone. Citation: Oey, L.-Y., M. Inoue, R. Lai, X.-H. Lin, S. E. Welsh, and L. J. ...

Inertial waves near corotation in 3D hydrodynamical disks

This paper concerns the interaction between non-axisymmetric inertial waves and their corotation resonances in a hydrodynamical disk. Inertial waves are of interest because they can localise in resonant cavities circumscribed by Lindblad radii, and as a consequence exhibit discrete oscillation frequencies that may be observed. It is often hypothesised that these trapped eigenmodes are affiliate...

Physical Simulation of Baroclinic Waves and Vortices in the Atmosphere

Nonlinear Energy Transfer from Semidiurnal Barotropic Motion to Near-Inertial Baroclinic Motion

A theoretical investigation into the subharmonic parametric instability of internal gravity waves to progressive surface waves in a continuously stratified medium is presented. A perturbation and multiple scales analysis is utilized and is carried out to the third order. Recent parallel efforts for a two-layer model have shown that surface waves can resonate, exponentially in time, two oblique ...