An Eulerian approach for computing the finite time Lyapunov exponent
From MaRDI portal
Publication:543766
DOI10.1016/j.jcp.2011.01.046zbMath1316.65113OpenAlexW2024382716MaRDI QIDQ543766
Publication date: 17 June 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2011.01.046
Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Numerical nonlinear stabilities in dynamical systems (65P40)
Related Items (24)
Computing the finite time Lyapunov exponent for flows with uncertainties ⋮ Eulerian algorithms for computing some Lagrangian flow network quantities ⋮ A novel quantity for identifying the repelling structures of continuous dynamical systems ⋮ Inspecting sound sources in an orifice-jet flow using Lagrangian coherent structures ⋮ An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems ⋮ Eulerian Algorithms for Computing the Forward Finite Time Lyapunov Exponent Without Finite Difference upon the Flow Map ⋮ An efficient Lagrangian interpolation scheme for computing flow maps and line integrals using discrete velocity data ⋮ Dynamically Orthogonal Numerical Schemes for Efficient Stochastic Advection and Lagrangian Transport ⋮ VIALS: an Eulerian tool based on total variation and the level set method for studying dynamical systems ⋮ Coherent structure detection and the inverse cascade mechanism in two-dimensional Navier–Stokes turbulence ⋮ Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems ⋮ Uncertainty in finite-time Lyapunov exponent computations ⋮ Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles ⋮ Eulerian based interpolation schemes for flow map construction and line integral computation with applications to Lagrangian coherent structures extraction ⋮ Anisotropic mesh adaptation on Lagrangian coherent structures ⋮ On the stirring properties of the thermally-driven rotating annulus ⋮ Advection without compounding errors through flow map composition ⋮ 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 ⋮ 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 ⋮ Fast Computations for the Lagrangian-averaged Vorticity Deviation Based on the Eulerian Formulations
Cites Work
- Unnamed Item
- Unnamed Item
- A level set based Eulerian method for paraxial multivalued traveltimes
- A level-set method for computing the eigenvalues of elliptic operators defined on compact hypersurfaces
- A variational theory of hyperbolic Lagrangian coherent structures
- Chaotic advection in the restricted four-vortex problem on a sphere
- Fast geodesics computation with the phase flow method
- A second order accurate level set method on non-graded adaptive Cartesian grids
- Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A slowness matching Eulerian method for multivalued solutions of eikonal equations
- A PDE-based fast local level set method
- Lagrangian coherent structures and mixing in two-dimensional turbulence
- Level set methods and dynamic implicit surfaces
- A hybrid particle level set method for improved interface capturing
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- A level set method for three-dimensional paraxial geometrical optics with multiple point sources
- Tricubic interpolation in three dimensions
- Transmission traveltime tomography based on paraxial Liouville equations and level set formulations
- 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
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- Accurate extraction of Lagrangian coherent structures over finite domains with application to flight data analysis over Hong Kong International Airport
- Fast computation of finite-time Lyapunov exponent fields for unsteady flows
- The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds
- Lagrangian coherent structures and internal wave attractors
- A Local Level Set Method for Paraxial Geometrical Optics
- Distinguished material surfaces and coherent structures in three-dimensional fluid flows
- The \(N\)-vortex problem. Analytical techniques
- Variational problems and partial differential equations on implicit surfaces
This page was built for publication: An Eulerian approach for computing the finite time Lyapunov exponent
