Vortex Ring and Air Mass Boundaries
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- čas přidán 29. 08. 2024
- A perturbed four vortex ring near is shown near the south pole. Also shown are the 'moving walls' of attractive and repulsive Lagrangian coherent structures (LCS). The model shows a hyperbolic region and the formation of filamentary structures that extend over large portions of the sphere. Groups of green particles are shown to help illustrate the mixing and stretching.
▶️ Learn more at the video Lagrangian Coherent Structures- Introduction
• Lagrangian Coherent St...
► Dr. Shane Ross is a Professor at Virginia Tech. He has a Ph.D. from Caltech (California Institute of Technology) and worked at NASA/JPL and Boeing.
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► Links to related paper PDFs
The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds, Chaos 20, 017505 (2010).
shaneross.com/p...
Chaotic advection in the restricted four-vortex problem on a sphere, Physica D: Nonlinear Phenomena 223(1), 36-53 (2006).
shaneross.com/p...
Finite-time Lyapunov exponents in the instantaneous limit and material transport, Nonlinear Dynamics, 100:3825-3852 (2020).
shaneross.com/p...
Detection and characterization of transport barriers in complex flows via ridge extraction of the finite time Lyapunov exponent field, International Journal for Numerical Methods in Engineering 86, 1163-1174 (2011).
shaneross.com/p...
Pollution transport patterns obtained through generalized Lagrangian coherent structures, Atmosphere 11, 168 (2020).
shaneross.com/p...
► Related Courses and Playlists by Dr. Ross
📚Nonlinear Dynamics and Chaos
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📚Hamiltonian Dynamics
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📚Lagrangian and 3D Rigid Body Dynamics
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📚Center Manifolds, Normal Forms, and Bifurcations
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📚Three-Body Problem Orbital Mechanics
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📚Attitude Dynamics and Control
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