|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Spontaneous wave generation in geophysical fluids
If you have a question about this talk, please contact Dr C. P. Caulfield.
A long-standing issue in geophysical fluid dynamics has been to quantify the coupling between the slow balanced motion, which dominates the large-scale dynamics, and the much faster inertia-gravity waves. Pioneering work by Lorenz in the mid-1980s introduced the idea of near-invariant slow manifolds to characterise the balanced part of the motion. More recent work has concentrated on mechanisms of spontaneous generation, whereby inertia-gravity waves are emitted by slowly evolving balanced flows. Such mechanisms demonstrate the fundamental limitations of the concept of slow manifold; they may also constitute significant sources of wave activity in the atmosphere and ocean. In this talk, I will consider spontaneous wave generation in the small-Rossby-number (rotation-dominated) regime. In this regime, there is a strict time-scale separation between balanced motion and inertia-gravity waves. As a result, slow manifolds can be constructed that are invariant to all orders on the Rossby number. This implies that wave generation is exponentially weak in the Rossby number and cannot be captured by standard power-series expansions. Exponential asymptotics techniques can however be used to describe the waves generated. I will discuss the application of these techniques to low-order models and to some idealised flows.
This talk is part of the Fluid Mechanics (DAMTP) series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsComputer Laboratory Digital Technology Group (DTG) Meetings DPMMS Pure Maths study groups Graduate Seminars
Other talksINDEPENDENT COMPONENT ANALYSIS VIA NONPARAMETRIC MAXIMUM LIKELIHOOD ESTIMATION The literature of liberation The Range of Planetary Circulations Described by the Dry Primitive Equations A Better Start: ‘what works’ to improve nutrition in 0-3 year olds Macrophage migration and death pathways in TB pathogenesis Carbon Nanomaterial and TMDC investigations with Linear-Scaling Density Functional Theory