Complex interacting entities in fluid flows: Intelligent advection

Julyan Cartwright

Instituto Andaluz de Ciencias de la Tierra, Granada, Spain

Complex or intelligent entities from birds and fish, to balloon and glider pilots, fishermen chasing their catch, and even oceanographers on campaign often modify their behaviour as a result of the opportunities and constraints imposed by their fluid environment, driven by the need to achieve an objective in some optimal way; for instance, shark feeding has been found to involve Levy flights. Such behavioural strategies of entities within a fluid are particularly interesting when they give rise to a collective phenomenon produced by mutual interactions between multiple entities; either interactions via some visual, auditory, or chemical mechanism, or else via the fluid flow itself. For example, aerobic bacteria in overpopulated regions around a limited oxygen source develop swimming patterns that generate bioconvection: mixing fluid currents that transport oxygen to themselves. Similarly, biological cilia on the surface of an organism can organize their movements to develop a collective flow, as do bees flapping their wings to cool their hive, and further instances of such interactions are seen in the V-flight of flocks of birds, porpoises riding the bow wave of a ship, and the peloton of racing cyclists, all of which are of mutual benefit to those involved; on the other hand an antagonistic example of interacting entities is a racing yacht taking the wind out of another boat's sails. Such entity-induced flow is a conceptual opposite to the advection of passive scalars: there flow affects the entities, while here the entities affect the flow. This conceptual blend of chaotic advection and agent-based dynamics has not been systematically explored and provides some interesting perspectives for future research.

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