Papers › Point vortex dynamics in three-dimensional ageostrophic balanced flows
Point vortex dynamics in three-dimensional ageostrophic balanced flows
Jeffrey B. Weiss
The archive published only this paper's code-link row. Authors, date and abstract are from arXiv's metadata (CC0), read from the Kaggle arXiv metadata snapshot of 2026-09-12 where its title matched the archive's; the title is the archive's.
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-anticylone antisymmetry. Ageostrophic effects are important components of many geophysical flows and, as such, these phenomena are not well-modeled by quasigeostrophy. The next order correction in Rossby number, which includes ageostrohpic affects, is so-called balanced dynamics. Balanced dynamics includes ageostrophic vertical velocity and breaks the geostrophic cyclone-anticylone antisymmetry. Point vortex solutions are well known in 2d 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 timescales. The ageostrophic component of QG⁺¹ point vortex dynamics renders them useful in modeling flows where quasigeostrophy filters out important physical processes.
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections