Lagrangian chaos, Eulerian chaos, and mixing enhancement in converging–diverging channel flows

Chaos in Shear Flows

Eulerian And Lagrangian Predictability Of Oceanic Flows

Our work has a number of objectives: • To determine the predictability time scales of the meandering of oceanic fronts • To determine the ways in which predictability in such a flow is lost, the physical processes responsible, and the sites of most rapid error growth • To develop simple, efficient data assimilation schemes that can be used to forecast the behavior of such fronts • To develop a ...

Chaos and mixing in a geostrophic flow

Experimefits on Rossby waves on an azimuthal jet in a rapidly rotating annular tank reveal a striking barrier to mixing across the jet. A model based on the experiments assumes a twodimensional incompressible flow described by a time-dependent streamfunction consisting of azimuthally propagating waves on a narrow jet. When there is only one wave, all Lagrangian particle trajectories are closed ...

Lagrangian–Eulerian methods for multiphase flows

This review article aims to provide a comprehensive and understandable account of the theoretical foundation, modeling issues, and numerical implementation of the Lagrangian–Eulerian (LE) approach for multiphase flows. The LE approach is based on a statistical description of the dispersed phase in terms of a stochastic point process that is coupled with an Eulerian statistical representation of...

Chaos and Mixing in Triaxial Stellar Systems

We investigate the timescales for stochasticity and chaotic mixing in a family of triaxial potentials that mimic the distribution of light in elliptical galaxies. Some of the models include central point masses designed to represent nuclear black holes. Most of the boxlike orbits are found to be stochastic, with mean Liapunov times that are 3 − 6 times the period of the long-axis orbit. In mode...