Motion of vortices with buoyancy

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• Stefan Llewellyn Smith, Department of Mechanical and Aerospace Engineering, UCSD
• Monday 04 November 2019, 13:00-14:00
• MR5, Centre for Mathematical Sciences.

If you have a question about this talk, please contact Prof. Jerome Neufeld.

In this talk I will discuss vortical flows with density variations in the presence of gravity. Explicit calculations of the motion of non-trivial vortices in the presence of density differences and surface tension 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 density variations is discussed, using a formulation based on forces due to Moore and Saffman that allows buoyancy and surface tension forces to be incorporated in a natural manner. A contour dynamics method for axisymmetric vortex rings with density differences is presented, which requires following the evolution of a vortex sheet on the boundary generated by baroclinic torques. Finally a formulation of contour dynamics applicable to helical vortices is outlined.

This talk is part of the Geophysical and Environmental Processes series.

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