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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Discussion papers
https://doi.org/10.5194/npg-2019-6
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-2019-6
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 14 Mar 2019

Research article | 14 Mar 2019

Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Nonlinear Processes in Geophysics (NPG).

Particle Clustering and Subclustering as a Proxy for Mixing in Geophysical Flows

Rishiraj Chakraborty, Aaron Coutino, and Marek Stastna Rishiraj Chakraborty et al.
  • Department of Applied Mathematics, University of Waterloo, Canada

Abstract. The Eulerian point of view is the traditional theoretical and numerical tool to describe fluid mechanics. Some modern computational fluid dynamics codes allow for the efficient simulation of particles, in turn facilitating a Lagrangian description of the flow. The existence and persistence of Lagrangian coherent structures in fluid flow has been a topic of considerable study. Here we focus on the ability of Lagrangian methods to characterize mixing in geophysical flows. We study the instability of a strongly non-linear double jet flow, initially in geostrophic balance, which forms quasi-coherent vortices when subjected to ageostrophic perturbations. Particle clustering techniques are applied to study the behaviour of the particles in the vicinity of coherent vortices. Changes in inter-particle distance play a key role in establishing the patterns in particle trajectories. This paper exploits graph theory in finding particle clusters and regions of dense interactions (also known as sub-clusters). The methods discussed and results presented in this paper can be used to identify mixing in a flow and extract information about particle behaviour in coherent structures from a Lagrangian point of view.

Rishiraj Chakraborty et al.
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Status: final response (author comments only)
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Rishiraj Chakraborty et al.
Rishiraj Chakraborty et al.
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Short summary
In this paper, we highlight a specific example of large scale flows. We talk about technical developments of how to extract regions of dense mixing in the flow using graph theoretic tools from discrete Mathematics.
In this paper, we highlight a specific example of large scale flows. We talk about technical...
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