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SUMMARY:Motion of vortices with buoyancy - Stefan Llewellyn Smith\, Depart
 ment of Mechanical and Aerospace Engineering\, UCSD
DTSTART:20191104T130000Z
DTEND:20191104T140000Z
UID:TALK132685@talks.cam.ac.uk
CONTACT:Prof. Jerome Neufeld
DESCRIPTION:In this talk I will discuss vortical flows with density variat
 ions in the presence of gravity. Explicit calculations of the motion of no
 n-trivial vortices in the presence of density differences and surface tens
 ion are not as common as one might expect. Three topics are presented. An 
 asymptotic model for the evolution of a thin-core vortex filament with den
 sity variations is discussed\, using a formulation based on forces due to 
 Moore and Saffman that allows buoyancy and surface tension forces to be in
 corporated in a natural manner. A contour dynamics method for axisymmetric
  vortex rings with density differences is presented\, which requires follo
 wing the evolution of a vortex sheet on the boundary generated by baroclin
 ic torques. Finally a formulation of contour dynamics applicable to helica
 l vortices is outlined.
LOCATION:MR5\, Centre for Mathematical Sciences
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