70th Annual Meeting of the APS Division of Fluid Dynamics (November 19, 2017 — November 21, 2017)

P0022: Axisymmetrization and Tripole Formation in an Elliptic Vortex

  • Ling Xu, University of Michigan, Ann Arbor
  • Robert Krasny, University of Michigan, Ann Arbor

A treecode-accelerated vortex method with remeshing and adaptive refinement [1,2] is applied to simulate an elliptic vortex [3] in an incompressible inviscid fluid using the Lagrangian Biot-Savart formulation. As the vortex evolves, thin filaments develop at the edge of the vortex, and surrounding fluid is entrained forming a tripole structure, while the vortex core and outer bands become axisymmetric. Color figures show the vorticity evolution on logarithmic scale; b/w figures show the adaptive computational grid using a refinement criterion based on local vorticity variation.

[1] P. Bosler, L. Wang, C. Jablonowski, R. Krasny, Fluid Dynamics Research 46:031406 (2014)
[2] P. Li, H. Johnston, R. Krasny, J. Comput. Phys. 228:3858-3868 (2009)
[3] P. Koumoutsakos, J. Comput. Phys. 138:821-857 (1997)

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