The geometry and statistics of mixing in aperiodic flows
- 1 October 1999
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 11 (10), 2963-2968
- https://doi.org/10.1063/1.870155
Abstract
The relationship between statistical and geometric properties of particle motion in aperiodic, two-dimensional flows is examined. Finite-time-invariant manifolds associated with transient hyperbolic trajectories are shown to divide the flow into distinct regions with similar statistical behavior. In particular, numerical simulations of simple, eddy-resolving barotropic flows indicate that there exists a close correlation between such geometric structures and patchiness plots that describe the distribution of Lagrangian average velocity over initial conditions. For barotropic turbulence, we find that Eulerian velocity correlation time scales are significantly longer than their Lagrangian counterparts indicating the existence of well-defined Lagrangian structures. Identification of such structures shows a similar, close relationship between the invariant manifold geometry and patchiness calculations at intermediate time scales, where anomalous dispersion rates are found. © 1999 American Institute of Physics.@S1070-6631~99!02910-4#Keywords
This publication has 15 references indexed in Scilit:
- Geometry of Cross-Stream Mixing in a Double-Gyre Ocean ModelJournal of Physical Oceanography, 1999
- Lagrangian dynamics in high-dimensional point-vortex systemsPhysics of Fluids, 1998
- Finite time transport in aperiodic flowsPhysica D: Nonlinear Phenomena, 1998
- Patchiness: A New Diagnostic for Lagrangian Trajectory Analysis in Time-Dependent Fluid FlowsInternational Journal of Bifurcation and Chaos, 1998
- Asymmetric transport and non-Gaussian statistics of passive scalars in vortices in shearPhysics of Fluids, 1998
- AC power losses in flexible thick-film superconducting tapesPhysica C: Superconductivity and its Applications, 1997
- Tracer dynamics in open hydrodynamical flows as chaotic scatteringPhysica D: Nonlinear Phenomena, 1994
- Chaotic advection in point vortex models and two-dimensional turbulencePhysics of Fluids, 1994
- Lagrangian turbulence and anomalous transportFluid Dynamics Research, 1991
- Stirring by chaotic advectionJournal of Fluid Mechanics, 1984