Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2007-07-07
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 76 (2007) 046217
Nonlinear Sciences
Chaotic Dynamics
Scientific paper
10.1103/PhysRevE.76.046217
Transport and mixing properties of passive particles advected by an array of vortices are investigated. Starting from the integrable case, it is shown that a special class of perturbations allows one to preserve separatrices which act as effective transport barriers, while triggering chaotic advection. In this setting, mixing within the two dynamical barriers is enhanced while long range transport is prevented. A numerical analysis of mixing properties depending on parameter values is performed; regions for which optimal mixing is achieved are proposed. Robustness of the targeted mixing properties regarding errors in the applied perturbation are considered, as well as slip/no-slip boundary conditions for the flow.
Bachelard Romain
Benzekri Tounsia
Chandre Cristel
Leoncini Xavier
Vittot Michel
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