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The Center for Control, Dynamical Systems, and Computation University of California at Santa Barbara
 

Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Winter 2009 Seminar Series
Presents
Dynamics of Aquatic Locomotion
Eva Kanso
University of Southern California
Friday, February 13, 2009 3:00 - 4:00pm Chem 1171
Abstract:
The net locomotion of a deformable body submerged in an infinite volume of fluid depends
critically on the dynamic coupling between the body deformations and the unsteady motion of
the surrounding fluid. A mathematical description of this coupling at finite Reynolds numbers
would require taking into account the detailed effects of viscosity which are primarily manifested
in the dynamics of the thin shear layers around the body that separate at the body tail to create
vortical structures. In this talk, we propose idealized models for the swimming of a submerged
body in a perfect fluid in response to: (1) prescribed (actively controlled) shape deformations;
(2) the presence of ambient vorticity; and (3) the effect of vorticity shed periodically from the
body tail. This low-order modeling approach allows one to isolate and examine the role of the
vorticity in achieving a net locomotion. We also discuss a simple model for the wake interactions
in large fish schools. In this preliminary work on fish schooling, we ignore the fish and focus

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics