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In geophysical and astrophysical flows, we are often interested in understanding the impact of internal waves on the non-wavelike flow. For example, oceanic internal waves generated at the surface and the seafloor transfer energy from the large scale flow to dissipative scales, thereby influencing the global ocean state. A primary challenge in the study of wave-flow interactions is how to separate these processes – since waves and non-wavelike flows can vary on similar spatial and temporal scales in the Eulerian frame. However, in a Lagrangian flow-following frame, temporal filtering offers a convenient way to isolate waves. Here, I will discuss a recently developed method for evolving Lagrangian mean fields alongside the governing equations in a numerical simulation, and extend this theory to allow effective filtering of waves from non-wavelike processes.
Further Information
Dr Lois Baker is the Flora Philip Fellow and EPSRC National Fellow in Fluid Dynamicsa in the School of Mathematics at the University of Edinburgh. Her research involves using mathematical and numerical models to understand oceanic fluid dynamics. Baker is particularly interested in the interactions of internal waves and submesoscale vortices that are generated in the deep and upper ocean.