Structural stability in two-dimensional model flows: Lagrangian and Eulerian turbulence

DOI10.1063/1.857677zbMath0713.76058OpenAlexW2061693718MaRDI QIDQ3199097

T. J. Danielson, Julio M. Ottino

Publication date: 1990

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857677

zbMATH Keywords

Navier-Stokes equationsPoincaré mapspower spectrumchaotic advectiontwo-dimensional approximationLagrangian turbulencetransition from Lagrangian to Eulerian turbulence

Mathematics Subject Classification ID

Turbulence (76F99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20)

Related Items (5)

Advection of a vortex pair atmosphere in a velocity field of point vortices* ⋮ Dynamical flow characterization of transitional and chaotic regimes in converging–diverging channels ⋮ Lagrangian chaos and Eulerian chaos in shear flow dynamics ⋮ Reduced Navier--Stokes equations near a flow boundary ⋮ Lagrangian chaos, Eulerian chaos, and mixing enhancement in converging–diverging channel flows

Cites Work

• Passive scalars, three-dimensional volume-preserving maps, and chaos
• An analytical study of transport, mixing and chaos in an unsteady vortical flow
• Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows
• Chaotic streamlines in the ABC flows
• A series-expansion study of the Navier–Stokes equations with applications to three-dimensional separation patterns
• The dynamics of coherent structures in the wall region of a turbulent boundary layer
• Regular and chaotic motion of fluid particles in a two-dimensional fluid
• Analysis of chaotic mixing in two model systems
• Stirring by chaotic advection

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