Motion of Three Vortices near Collapse

Physics – Fluid Dynamics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

45 pages, 22 figures Last version of the paper with all updates

Scientific paper

10.1063/1.870440

A system of three point vortices in an unbounded plane has a special family of self-similarly contracting or expanding solutions: during the motion, vortex triangle remains similar to the original one, while its area decreases (grows) at a constant rate. A contracting configuration brings three vortices to a single point in a finite time; this phenomenon known as vortex collapse is of principal importance for many-vortex systems. Dynamics of close-to-collapse vortex configurations depends on the way the collapse conditions are violated. Using an effective potential representation, a detailed quantitative analysis of all the different types of near-collapse dynamics is performed when two of the vortices are identical. We discuss time and length scales, emerging in the problem, and their behavior as the initial vortex triangle is approaching to an exact collapse configuration. Different types of critical behaviors, such as logarithmic or power-law divergences are exhibited, which emphasizes the importance of the way the collapse is approached. Period asymptotics for all singular cases are presented as functions of the initial vortices configurations. Special features of passive particle mixing by a near-collapse flows are illustrated numerically.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Motion of Three Vortices near Collapse does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Motion of Three Vortices near Collapse, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Motion of Three Vortices near Collapse will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-200329

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.