Computing the finite time Lyapunov exponent for flows with uncertainties

DOI10.1016/j.jcp.2020.109905OpenAlexW3091907705MaRDI QIDQ2123969

Guoqiao You, Shingyu Leung

Publication date: 14 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109905

zbMATH Keywords

uncertaintydynamical systemsflow visualizationnumerical methods for PDEsfinite time Lyapunov exponent

Mathematics Subject Classification ID

Numerical analysis (65-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Eulerian algorithms for computing some Lagrangian flow network quantities ⋮ Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems ⋮ Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles

Uses Software

• SDE Toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems
• Computing coherent sets using the Fokker-Planck equation
• An Eulerian approach for computing the finite time Lyapunov exponent
• A variational theory of hyperbolic Lagrangian coherent structures
• A survey of numerical methods for stochastic differential equations
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Numerical solution of SDE through computer experiments. Including floppy disk
• Eulerian based interpolation schemes for flow map construction and line integral computation with applications to Lagrangian coherent structures extraction
• An improved Eulerian approach for the finite time Lyapunov exponent
• Lagrangian coherent structures and mixing in two-dimensional turbulence
• Level set methods and dynamic implicit surfaces
• A finite element/operator-splitting method for the numerical solution of the two dimensional elliptic Monge-Ampère equation
• A finite element/operator-splitting method for the numerical solution of the three dimensional Monge-Ampère equation
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• A parallel splitting up method and its application to Navier-Stokes equations
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• The backward phase flow method for the Eulerian finite time Lyapunov exponent computations
• Operator-Splitting Based Fast Sweeping Methods for Isotropic Wave Propagation in a Moving Fluid
• A Variance Based FTLE-Like Method for Unsteady Uncertain Vector Fields
• The Split Bregman Method for L1-Regularized Problems
• A Penalization-Regularization-Operator Splitting Method for Eikonal Based Traveltime Tomography
• Lagrangian coherent structures in n-dimensional systems
• Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence
• Lagrangian coherent structures from approximate velocity data
• High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
• A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations
• Approximate Integration of Stochastic Differential Equations
• A Simple Explicit Operator-Splitting Method for Effective Hamiltonians
• Estimating the Finite Time Lyapunov Exponent from Sparse Lagrangian Trajectories
• A Fast Semi-Implicit Level Set Method for Curvature Dependent Flows with an Application to Limit Cycles Extraction in Dynamical Systems
• On the Construction and Comparison of Difference Schemes
• Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents
• Distinguished material surfaces and coherent structures in three-dimensional fluid flows

This page was built for publication: Computing the finite time Lyapunov exponent for flows with uncertainties