Chaotic advection in the restricted four-vortex problem on a sphere

DOI10.1016/j.physd.2006.08.012zbMath1330.76034OpenAlexW1975351355MaRDI QIDQ857169

Shane D. Ross, Paul K. Newton

Publication date: 14 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.physd.2006.08.012

zbMATH Keywords

ergodicitymixingvortex ringchaotic advectionparticle transport

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) Meteorology and atmospheric physics (86A10) Turbulent transport, mixing (76F25) Dynamical systems approach to turbulence (76F20)

Related Items (8)

A fast sweeping method for eikonal equations on implicit surfaces ⋮ Von Kármán vortex streets on the sphere ⋮ Three ways to solve the Poisson equation on a sphere with Gaussian forcing ⋮ Dynamics and bifurcation of passive tracers advected by a ring of point vortices on a sphere ⋮ An Eulerian approach for computing the finite time Lyapunov exponent ⋮ The \(N\)-vortex problem on a sphere: Geophysical mechanisms that break integrability ⋮ The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds ⋮ Detection and characterization of transport barriers in complex flows via ridge extraction of the finite time Lyapunov exponent field

Cites Work

• Unnamed Item
• Unnamed Item
• An efficient method for computing invariant manifolds of planar maps
• Dynamics and statics of vortices on a plane and a sphere. I
• Dynamics of three vortices on a plane and a sphere. II: General compact case
• Dynamics of three vortices on a plane and a sphere. III: Noncompact case. Problems of collapse and scattering
• Distributing many points on a sphere
• Streamline topologies for integrable vortex motion on a sphere
• Mathematical problems for the next century
• Lagrangian coherent structures and mixing in two-dimensional turbulence
• Topological fluid mechanics of point vortex motions
• Motion of three point vortices on a sphere
• The motion of three point vortices on a sphere
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• STRATOSPHERIC DYNAMICS
• The N -vortex problem on a rotating sphere. II. Heterogeneous Platonic solid equilibria
• TheN-vortex problem on a rotating sphere. I Multi-frequency configurations
• Symplectic maps, variational principles, and transport
• The vortex dynamics analogue of the restricted three-body problem: advection in the field of three identical point vortices
• Wave and vortex dynamics on the surface of a sphere
• Nonlinear Stability of a Latitudinal Ring of Point-Vortices on a Nonrotating Sphere
• Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
• Connecting orbits and invariant manifolds in the spatial restricted three-body problem
• Point vortices on a sphere: Stability of relative equilibria
• Chaotic advection in point vortex models and two-dimensional turbulence
• TRANSPORT IN DYNAMICAL ASTRONOMY AND MULTIBODY PROBLEMS
• Choosing a Point from the Surface of a Sphere
• The \(N\)-vortex problem. Analytical techniques

This page was built for publication: Chaotic advection in the restricted four-vortex problem on a sphere