Atmosphere Ocean Science Friday Seminar

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Shallow water wave energy accumulation

Speaker: Cai Maitland-Davies, CAOS

Location: Warren Weaver Hall 1314

Date: Friday, April 29, 2022, 4 p.m.

Notes:

Generalized Lagrangian-mean (GLM) theory offers advantages over an Eulerian-mean approach in some situations, in particular in its handling of material invariants. Applying this framework to a shallow water system, we have found an energy conservation law describing the transfer of energy between the mean flow and the wave field. These are two-way interactions which describe the balanced mean flow response to an evolving wave field, and include the self-advection of wavepackets by their induced mean flow. I will discuss this energy conservation law using some example simulations, and draw attention to the accumulation of wave energy over time that we have observed, which in the absence of potential vorticity can also be shown from the equations.