Vortex methods

Thursday, January 13, 2011 - 9:30am - 10:30am
Mark Stock (Applied Scientific Research)
In addition to my research into vortex particle methods, parallel N-body methods, and GPU programming, I create artwork using these same computer programs. The work consists of imagery and animations of fluid forms and other shapes and patterns in nature. Using relatively simple algorithms reflecting the origins of their underlying processes, many of these patterns can be recreated and their inherent beauty exposed. In this talk, I will discuss the technical aspects of my work, but mainly plan to distract attention with the works themselves.

Wednesday, June 2, 2010 - 3:30pm - 4:15pm
John Dabiri (California Institute of Technology)
Keywords: vortices, locomotion, swimming, flying

Abstract: The formation and shedding of fluid vortices is an inevitable consequence
of movement for all but the smallest of swimming and flying organisms. Can
animals use these vortices to enhance locomotion? If so, can their methods
of vortex-enhanced propulsion be translated to engineered systems? This
talk will describe experimental studies of jellyfish and numerical
simulations of eels that suggest candidate mechanisms to enhance the
Monday, February 22, 2010 - 11:30am - 12:15pm
Monika Nitsche (University of New Mexico)
Keywords: vortex sheet motion, vortex blob method, Euler-alpha model

Abstract: The vortex sheet is a mathematical model for a shear layer
in which the layer is approximated by a surface. Vortex
sheet evolution has been shown to approximate the motion
of shear layers well, both in the case of free layers and
of separated flows at sharp edges.
Generally, the evolving sheets develop singularities
in finite time. To approximate the fluid past this time,
the motion is regularized and the sheet defined as the
Monday, September 24, 2012 - 3:15pm - 4:05pm
Walter Craig (McMaster University)
Abstract: Over the past period of a decade and more, mathematicians in the PDE community have developed techniques for the phase space analysis of the dynamics of many model nonlinear Hamiltonian PDEs. These results include constructions of KAM invariant tori, Birkhoff normal forms and Nekhoroshev stability theorems, and constructions of cascade orbits. In this talk I will describe some applications and extensions of these ideas to a problem in fluid dynamics concerning the interaction of two near-parallel vortex filaments in three dimensions.
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