Bulletin of the American Physical Society
74th Annual Meeting of the APS Division of Fluid Dynamics
Volume 66, Number 17
Sunday–Tuesday, November 21–23, 2021; Phoenix Convention Center, Phoenix, Arizona
Session Q11: Biological Fluid Dynamics: General II
8:00 AM–10:10 AM,
Tuesday, November 23, 2021
Room: North 125 AB
Chair: Megan Leftwich, George Washington U
Abstract: Q11.00009 : Efficient strategy to track a planktonic target from its hydrodynamic signature*
9:44 AM–9:57 AM
Presenter:
Tommaso Redaelli
(Aix-Marseille Univ, CNRS, Centrale Marseille, IRPHE, Marseille, France)
Authors:
Tommaso Redaelli
(Aix-Marseille Univ, CNRS, Centrale Marseille, IRPHE, Marseille, France)
Christophe Eloy
(Aix-Marseille Univ, CNRS, Centrale Marseille, IRPHE, Marseille, France)
Eva Kanso
(Univ of Southern California)
To tackle this problem, we model the flow disturbance generated by a target in the Stokes limit assuming the target is an essential singularity of the Stokes equations (a stokeslet, a stressless, etc.). We suppose the copepod measures this flow, its gradient or the symmetric part of the gradient (the strain) along the direction of the antennae. The question is whether the copepod is able to locate the target from this information only. We show that an algorithm based on a triangulation from two measures, one on each antenna, is a robust strategy to track the target. This strategy is robust since the flow singularity is always the point where the field lines of the vector field converge. This vector field being the flow velocity itself, its gradient or its symmetric part projected along the antennae direction. The triangulation algorithm is applicable to any target, whatever the hydrodynamic signature of the target, which can be always modeled through a combination of flow singularities. Moreover, it allows to overcome one of the fundamental difficulties of tracking: the intrinsic symmetries of the measured flow field.
*EUROPEAN RESEARCH COUNCIL, ERC ADVANCED GRANT, PROJECT C0PEP0D
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