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Modelling flying formations and vortex ring motions
We consider two problems in fluid dynamics: the collective locomotion of flying animals and the interaction of vortex rings with fluid interfaces. First, we present a model of formation flight, viewing the group as a material whose properties arise from the flow-mediated interactions among its members. This aerodynamic model explains how flapping flyers produce vortex wakes and how they are influenced by the wakes of others. Long in-line arrays show that the group behaves as a soft, excitable “crystal” with regularly ordered member “atoms” whose positioning is susceptible to deformations and dynamical instabilities. Second, we delve into the phenomenon of vortex ring reflections at water-air interfaces. Experimental observations reveal reflections analogous to total internal reflection of a light beam. We present a vortex-pair—vortex-sheet model to simulate this phenomenon, offering insights into the fundamental interactions of vortex rings with free surfaces.
Please feel free to join remotely on teams here: teams.microsoft.com/l/meetup-join/19%3ameeting_MWU2MzJiNjgtYzM2Mi00ZWNkLWFiMjktOGQwOTc0MGRkZDll%40thread.v2/0?context=%7b%22Tid%22%3a%22cc95de1b-97f5-4f93-b4ba-fe68b852cf91%22%2c%22Oid%22%3a%22e6ced614-5673-458c-832d-5d4ada66f593%22%7d
Date:
6 February 2025, 12:00
Venue:
Lecture Room 3
Speaker:
Prof. Christiana Mavroyiakoumou (NYU Courant)
Organising department:
Mathematical Institute
Organiser:
Alain Goriely (University of Oxford)
Organiser contact email address:
Kirkham@maths.ox.ac.uk
Part of:
Industrial & Applied Mathematics Seminar
Booking required?:
Not required
Audience:
Public
Editor:
Nicola Kirkham
