Lagrangian Coherent Structures (LCS) in unsteady fluids with Finite Time Lyapunov Exponents (FTLE) скачать в хорошем качестве

Lagrangian Coherent Structures (LCS) in unsteady fluids with Finite Time Lyapunov Exponents (FTLE)

Fluid dynamics are often characterized by coherent structures that persist in time and mediate the behavior and transport of the fluid. Lagrangian coherent structures (LCS) are a particularly important class of coherent structures, as they are the time-varying analogues of stable and unstable manifolds from dynamical systems theory, and they represent material lines of attraction and repulsion in the fluid. LCS are often computed via the Finite Time Lyapunov Exponent (FTLE) field, which involves computing the stretching between neighboring passive particles that are advected (integrated) along the flow field. Citable link for this video: https://doi.org/10.52843/cassyni.6y3tz6 Key papers: 1. Haller 2002: http://georgehaller.com/reprints/appr... 2. Shadden, Lekien, Marsden 2005: https://linkinghub.elsevier.com/retri... 3. Haller Review 2014: http://georgehaller.com/reprints/annu... 4. https://aip.scitation.org/doi/10.1063... @eigensteve on Twitter eigensteve.com databookuw.com This video was produced at the University of Washington %%% CHAPTERS %%% 0:00 Introduction & Overview 5:56 Integrating Particles through Unsteady Flow Fields 11:55 LCS as Stable and Unstable Manifolds 18:49 Literature Review 21:52 Computing FTLE Fields 30:16 FTLE as Material Lines (Separatrices) 33:33 LCS for Unsteady Aerodynamics 36:13 LCS Describe How Jellyfish Eat 38:46 FTLE and Mixing 40:25 Mixing in the Ocean 41:56 FTLE as a Measure of Sensitivity