Intensive and weak mixing in the chaotic region of a velocity field
The local stirring properties of a passive fluid domain with arbitrary borders in known velocity field are discussed. Construction of maps for local stretching values in fixed moments allows to analyse informatively an evolution of regions, in which an intensive stirring takes place. The stirring process is explored in a sample of an advection problem of a passive impurity in the velocity field induced by a system of three point vortices moved periodically. It is shown that the regions of a chaotic motion of fluid particles and of an intensive stirring do not coincide. Chaotic region has a zone of weak stirring, in which contours are transported from one intensive stretching zone to another without any deformation.
KeywordsVelocity Field Chaotic Motion Fluid Particle Vortex Pair Point Vortex
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