Quantifying transport in numerically generated velocity fields

DOI10.1016/S0167-2789(97)00115-2zbMath0925.76260OpenAlexW2021550374WikidataQ57943696 ScholiaQ57943696MaRDI QIDQ1373918

L. J. Pratt, A. M. Rogerson, Peter D. Miller, Christopher K. R. T. Jones

Publication date: 26 November 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00115-2

zbMATH Keywords

dynamical systemsnumerical experimentspartial differential equationchaotic transportLagrangian transport

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Dynamical systems approach to turbulence (76F20)

Related Items

Assessing coherent feature kinematics in ocean models, Predicting transport by Lagrangian coherent structures with a high-order method, Local stable and unstable manifolds and their control in nonautonomous finite-time flows, A Lagrangian description of transport associated with a front-eddy interaction: application to data from the North-Western Mediterranean Sea, HYPERBOLICITY AND INVARIANT MANIFOLDS FOR PLANAR NONAUTONOMOUS SYSTEMS ON FINITE TIME INTERVALS, Lobe dynamics applied to barotropic Rossby-wave breaking, Lagrangian chaos and Eulerian chaos in shear flow dynamics, Optimal mixing in recirculation zones, Influence of inertia on eddies created in films creeping over strongly undulated substrates, Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence, Lagrangian coherent structures from approximate velocity data, Distinguished material surfaces and coherent structures in three-dimensional fluid flows, Finite time transport in aperiodic flows, A comparison of methods for interpolating chaotic flows from discrete velocity data, Pollution release tied to invariant manifolds: a case study for the coast of Florida, An analytical study of general hyper-diffusivity and barotropic eddies, Lagrangian coherent structures and mixing in two-dimensional turbulence, Transport and bifurcation in a non-area-preserving two-dimensional map with applications to the discharge of pollution in an estuarine flow, Transport in finite size systems: An exit time approach, Finding finite-time invariant manifolds in two-dimensional velocity fields, Self-consistent chaotic transport in fluids and plasmas

Uses Software

• Dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transport in Hamiltonian systems
• Methods for evaluating fluid velocities in spectral simulations of turbulence
• Lobe area in adiabatic Hamiltonian systems
• Chaotic transport in dynamical systems
• An efficient method for computing invariant manifolds of planar maps
• Dynamics: numerical explorations. Accompanying computer program dynamics. Coauthored by Eric J. Kostelich. With 3 1/2 DOS Diskette
• Transport in two-dimensional maps
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• Chaotic transport in the homoclinic and heteroclinic tangle regions of quasiperiodically forced two-dimensional dynamical systems
• Chaotic transport by Rossby waves in shear flow
• Viscous perturbations of vorticity-conserving flows and separatrix splitting
• Particle motion in vorticity-conserving, two-dimensional incompressible flows
• Homoclinic tangles-classification and applications
• Chaotic advection in a Rayleigh-Bénard flow