[Amath-seminars] Peter Badoo talk tomorrow (Aug. 12th)

[J. Nathan Kutz]

Hi All

Reminder that tomorrow Peter Badoo will be giving a talk in ECE 303 at 230.  You can also join via zoom.

Join Zoom Meeting
https://us02web.zoom.us/j/7175194479 <https://us02web.zoom.us/j/7175194479>


Meeting ID: 717 519 4479

Best
Nathan





> On Jul 26, 2022, at 2:29 AM, J. Nathan Kutz <kutz at uw.edu> wrote:

> 

> 

> Hi All

> 

> Peter Baddoo from MIT will be visiting UW for a couple of weeks and will give a seminar on Friday, August 12th at 230pm (ECE 303)

> 

> 

> Speaker:  Peter Baddoo, MIT

> 

> Title: Understanding interacting airfoils: complex analysis, asymptotics, and dynamics

> 

> Abstract: When two or more airfoils move together, their interactions significantly affect the characteristics of the surrounding fluid. We develop a mathematical theory for these interactions using conformal maps, multiply-connected function theory, and modified Schwarz problems. Via use of the transcendental Schottky–Klein prime function, our theory is valid for any connectivity (any number of airfoils). Accordingly, our approach is very general and permits many airfoil motions (pitching, heaving, undulatory) and configurations (tandem, in-line, ground effect). We focus on the doubly-connected case where there are two interacting swimmers and find that our theory yields excellent agreement with experimental data. We also derive an asymptotic solution that captures the salient features of the prime function solution, along with a reduced-order dynamical system that explains the airfoils’ trajectories.


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