Beach vortices near circular topography

Abstract

Finite-area monopolar vortices which propagate around topography without change in shape are computed for circular seamounts and wells including the limiting cases of each: islands and infinitely deep wells. The time-dependent behaviour of vortex pairs propagating toward circular topography is also examined. Trajectories of point-vortex pairs exterior to the topography are found and compared to trajectories of vortex patches computed using contour dynamics.

Evolution, propagation and interactions with topography of hurricane-like vortices in a moist-convective rotating shallow-water model

“…There also exist numerical simulations using the same model with simple topography profiles on the f -plane, e.g. Grimshaw et al (1994), Richardson (2000) and Hinds, Johnson & McDonald (2016), and on the β-plane (van Geffen & Davies 1999), as well as laboratory experiments in rotating tanks (Carnevale, Kloosterziel & van Heijst 1991;Flor & Eames 2002). As can be inferred from these studies, e.g.…”

Travelling vortices over mountains and the long-term structure of the residual flow

“…Most of those studies were focused on QG uniform currents above an isolated mountain, which generate an anticyclone over the summit (owing to squeezing effects) and a cyclonic vortex at the lee side owing to stretching effects (Huppert & Bryan 1976). More recent analytical studies describe the structure and stability of monopolar vortices over seamounts (Nycander & Lacasce 2004;Ryzhov & Koshel 2013;Hinds, Johnson & McDonald 2016;Zhao, Chieusse-Gérard & Flierl 2019).…”

Interaction of an along-shore propagating vortex with a vortex enclosed in a circular bay

“…Models of distributed vortices moving in complex bounded domains have, for example, been studied in papers. 5,11,[16][17][18][19][20][21][22][23] The outline of the paper is as follows. First, a model of two point vortices interacting near a circular coast-like boundary is formulated by taking advantage of the Kirchhoff-Routh stream-function.…”