An efficient Lagrangian interpolation scheme for computing flow maps and line integrals using discrete velocity data

DOI10.1007/s10915-017-0620-7zbMath1447.37069OpenAlexW2770744005MaRDI QIDQ1668712

Renkun Shi, Guoqiao You, Yuhua Xu

Publication date: 29 August 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0620-7

zbMATH Keywords

coherent structuresflow visualizationflow maps

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

• Unnamed Item
• An Eulerian method for computing the coherent ergodic partition of continuous dynamical systems
• An Eulerian approach for computing the finite time Lyapunov exponent
• The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation
• Fast geodesics computation with the phase flow method
• The phase flow method
• Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Lagrangian coherent structures and mixing in two-dimensional turbulence
• Level set methods and dynamic implicit surfaces
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• Computing Lagrangian coherent structures from their variational theory
• The backward phase flow method for the Eulerian finite time Lyapunov exponent computations
• Finite size Lyapunov exponent: review on applications
• 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
• High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
• Predictability in the large: an extension of the concept of Lyapunov exponent
• Fast computation of finite-time Lyapunov exponent fields for unsteady flows
• Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov--Poisson system
• Dispersion of passive tracers in closed basins: Beyond the diffusion coefficient
• Distinguished material surfaces and coherent structures in three-dimensional fluid flows

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