Abstract
Abstract. In the frame of a three-layer, quasi-geostrophic analytical model of an f-plane geophysical flow, the Lagrangian advection induced by the interaction of a monopole vortex with an isolated topographic feature is addressed. Two different cases when the monopole is located either within the upper or the middle layer are of our interest. In the bottom layer, there is a delta-function topographic feature, which generates a closed recirculation region in its vicinity due to the background flow. This recirculation region extends to the middle and upper layers, and it plays the role of a topographic vortex. The interaction between the monopole and the topographic vortex causes a complex, including chaotic, advection of fluid particles. We show that the model's parameters, namely the monopole and topographic vortices' strengths and initial positions, and the layers' depths and densities, are responsible for the diverse advection patterns. While the patterns are rather complicated, one can single out two major processes, which mostly govern the fluid particle advection. The first one is the variation in time of the system's phase space structure, so that within the closed region of the topographic vortex, there appear periodically unclosed particle pathways by which the particles leave the topographic vortex. The second one is chaotic advection that arises from the nonstationarity of the monopole–topography interaction.
Highlights
By a The by vortex monopole topographic vora regular threeresponsible for the diverse advection patterns
Syspteatxte.hTmwhaseyssebcyonwdhoicnhe tihsechpaaorttiiccleasdvleeacvtieonthtehattoDaproiagsertasapfhrSoicmyvstohtree- msaSnod, Kizner, 2010) either within the upper or these singularities move like passive tracers middle layer. along regular nonstationarity of the monopole–topography interactioDn.iscussionsbackground-flow streamlines
System (2) is a thoroughly-studied system which governs the dynamics of a fluid particle due to the velocity field generated by an exterior background flow intersecting a delta-function topography
Summary
By a The by vortex monopole topographic vora regular threeresponsible for the diverse advection patterns. The middlelayer point-monopole appears in the upper layer as a regular vortex; this configuration generates different fluid particle advections due to the absence of singularity in the monopole–topography velocity field. System (2) is a thoroughly-studied system which governs the dynamics of a fluid particle due to the velocity field generated by an exterior background flow intersecting a delta-function topography.
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