Lagrangian coherent structures and internal wave attractors

DOI10.1063/1.3273054zbMath1311.76032OpenAlexW1987672300WikidataQ51706882 ScholiaQ51706882MaRDI QIDQ5250427

Wenbo Tang, Thomas Peacock

Publication date: 19 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1721.1/79349

Mathematics Subject Classification ID

Direct numerical and large eddy simulation of turbulence (76F65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Stratification effects in turbulence (76F45)

Related Items (21)

Finite-time attractivity for semilinear functional differential inclusions ⋮ Eulerian algorithms for computing some Lagrangian flow network quantities ⋮ A novel quantity for identifying the repelling structures of continuous dynamical systems ⋮ Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two-dimensional linear differential systems ⋮ Geodesic theory of transport barriers in two-dimensional flows ⋮ Non-Boussinesq effect on the internal solitary wave propagation under a Lagrangian-like description for various pycnocline thickness conditions ⋮ Uncertainty in finite-time Lyapunov exponent computations ⋮ Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles ⋮ Inertial wave super-attractor in a truncated elliptic cone ⋮ Finite-time attractivity of strong solutions for generalized nonlinear abstract Rayleigh-Stokes equations ⋮ On the appearance of internal wave attractors due to an initial or parametrically excited disturbance ⋮ The finite-time expected deviation exponent for continuous dynamical systems ⋮ Estimating the Finite Time Lyapunov Exponent from Sparse Lagrangian Trajectories ⋮ Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents ⋮ An Eulerian approach for computing the finite time Lyapunov exponent ⋮ The backward phase flow method for the Eulerian finite time Lyapunov exponent computations ⋮ An improved Eulerian approach for the finite time Lyapunov exponent ⋮ Fast construction of forward flow maps using Eulerian based interpolation schemes ⋮ Damping of quasi-two-dimensional internal wave attractors by rigid-wall friction ⋮ Tidally generated internal-wave attractors between double ridges ⋮ Fast Computations for the Lagrangian-averaged Vorticity Deviation Based on the Eulerian Formulations

Cites Work

• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• Tidal generation of internal waves from a periodic array of steep ridges
• Observations on the wavenumber spectrum and evolution of an internal wave attractor
• Visualization of nonlinear effects in reflecting internal wave beams
• Numerical simulation of a two-dimensional internal wave attractor
• Tidal conversion at a very steep ridge
• Geometric focusing of internal waves
• Near-critical reflection of internal waves
• Low-mode internal tide generation by topography: an experimental and numerical investigation
• Progressive internal waves on slopes
• Distinguished material surfaces and coherent structures in three-dimensional fluid flows

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