Explore the fascinating world of Lagrangian coherent structures in this 31-minute video lecture by Dr. Shane Ross of Virginia Tech. Delve into the theoretical mathematical foundations and practical applications of particle transport patterns in fluid flows. Learn about finite-time Lyapunov exponents, unsteady double gyres, and their relevance to various phenomena such as jellyfish feeding zones, hurricane dynamics, and global ocean currents. Discover how these concepts are applied in search and rescue operations, pollution tracking, and reduced order modeling of fluid mechanics. Gain insights into cutting-edge research combining unmanned aircraft systems with atmospheric measurements to predict Lagrangian coherent structures.
Lagrangian Coherent Structures Introduction
Overview
Syllabus
25-3852 (2020)..
Introduction.
Lagrangian coherent structures.
Finite Time Lyapunov Exponent (FTLE).
Unsteady Double Gyre.
Entrainment into Vortex.
Jellyfish feeding zone.
Hurricane Andrea, 2007.
Instantaneous attracting LCS.
Instantaneous repelling LCS.
Applications to dispersion.
Global ocean flow structure.
Transient Attracting Profiles (TRAPs) for search-and-rescu.
ALPHA experiments near Martha's Vineyard, Mass.
Reduced order modeling (ROM) and LCS.
Eulerian-Lagrangian ROM.
Taught by
Ross Dynamics Lab
