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Point-vortex dynamics in three-dimensional ageostrophic balanced flows
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DOI：10.1017/jfm.2022.55.png)
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摘要
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Geophysical turbulent flows, characterized by rapid rotation, quantified by small Rossby number, and stable stratification, often self-organize into a collection of coherent vortices, referred to as a vortex gas. The lowest-order asymptotic expansion in Rossby number is quasigeostrophy, which has purely horizontal velocities and cyclone-anticyclone antisymmetry. Ageostrophic effects are important components of many geophysical flows and, as such, these phenomena are not well modelled by quasigeostrophy. The next-order correction in Rossby number, which includes ageostrophic effects, is the so-called balanced dynamics. Balanced dynamics includes ageostrophic vertical velocity and breaks the geostrophic cyclone-anticyclone antisymmetry. Point-vortex solutions are well known in two-dimensional and quasigeostrophic dynamics and are useful for studying the vortex-gas regime of geophysical turbulence. Here, we find point-vortex solutions in fully three-dimensional continuously stratified QG(+1) dynamics, a particular formulation of balanced dynamics. Simulations of QG(+1) point vortices show several interesting features not captured by quasigeostrophic point vortices including significant vertical transport on long time scales. The ageostrophic component of QG(+1) point vortex point-vortex dynamics renders them useful in modelling flows where quasigeostrophy filters out important physical processes.
Keyword:
quasi-geostrophic flows
vortex dynamics
geostrophic turbulence
期刊
IF:
3.9
论文数:
2.0W
被引数:
9.4W
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