Fast computation of finite-time Lyapunov exponent fields for unsteady flows
From MaRDI portal
Publication:5250422
DOI10.1063/1.3270044zbMath1311.76102OpenAlexW2092508437WikidataQ51059608 ScholiaQ51059608MaRDI QIDQ5250422
Clarence W. Rowley, Steven L. Brunton
Publication date: 19 May 2015
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3270044
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (32)
The unsteady three-dimensional wake produced by a trapezoidal pitching panel ⋮ An optimization method for chaotic turbulent flow ⋮ Generalized Lagrangian coherent structures ⋮ Mesochronic classification of trajectories in incompressible 3D vector fields over finite times ⋮ High-order visualization of three-dimensional Lagrangian coherent structures with DG-FTLE ⋮ Scale-Space Approaches to FTLE Ridges ⋮ DG-FTLE: Lagrangian coherent structures with high-order discontinuous-Galerkin methods ⋮ An efficient Lagrangian interpolation scheme for computing flow maps and line integrals using discrete velocity data ⋮ Coherent structure detection and the inverse cascade mechanism in two-dimensional Navier–Stokes turbulence ⋮ Extraction of Lagrangian coherent structures in the framework of the Lagrangian-Eulerian stabilized collocation method (LESCM) ⋮ Identifying finite-time coherent sets from limited quantities of Lagrangian data ⋮ Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre ⋮ Uncertainty in finite-time Lyapunov exponent computations ⋮ GPU and APU computations of finite time Lyapunov exponent fields ⋮ Numerical characterization of nonlinear dynamical systems using parallel computing: the role of GPUs approach ⋮ Improved Lagrangian coherent structures with modified finite-time Lyapunov exponents in the PIC framework ⋮ Advection without compounding errors through flow map composition ⋮ On the lifespan of recirculating suspensions with pulsatile flow ⋮ Reduced-order unsteady aerodynamic models at low Reynolds numbers ⋮ Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents ⋮ An Eulerian approach for computing the finite time Lyapunov exponent ⋮ Characterization of multiscroll attractors using Lyapunov exponents and Lagrangian coherent structures ⋮ The backward phase flow method for the Eulerian finite time Lyapunov exponent computations ⋮ Long-time uncertainty propagation using generalized polynomial chaos and flow map composition ⋮ On the stages of vortex decay in an impulsively stopped, rotating cylinder ⋮ Fast construction of forward flow maps using Eulerian based interpolation schemes ⋮ Trajectory-free approximation of phase space structures using the trajectory divergence rate ⋮ Explicit invariant manifolds and specialised trajectories in a class of unsteady flows ⋮ Introduction to Vector Field Topology ⋮ A mapping method for distributive mixing with diffusion: Interplay between chaos and diffusion in time-periodic sine flow ⋮ Lagrangian coherent structures and the smallest finite-time Lyapunov exponent ⋮ Near-wake dynamics of a vertical-axis turbine
Cites Work
- Predicting transport by Lagrangian coherent structures with a high-order method
- A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions
- Pollution release tied to invariant manifolds: a case study for the coast of Florida
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- Detection of Lagrangian coherent structures in three-dimensional turbulence
- A Lagrangian analysis of a two-dimensional airfoil with vortex shedding
- Lagrangian coherent structures in n-dimensional systems
- Lagrangian coherent structures from approximate velocity data
- An objective definition of a vortex
- Geometry of unsteady fluid transport during fluid–structure interactions
- Transport and stirring induced by vortex formation
- Distinguished material surfaces and coherent structures in three-dimensional fluid flows
This page was built for publication: Fast computation of finite-time Lyapunov exponent fields for unsteady flows