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Numerical methods and optimization for micro-swimming

Abstract : This thesis is devoted to modelling and simulating swimmers at low Reynolds number. Two computational frameworks are devised for these purposes, and they are used in synergy with optimisation algorithms. In the first part we study a problem of parametric shape optimisation for multi-flagellated microswimmers. The simulations are based on the Boundary Integral formulation of Stokes equations and the Boundary Element method, while the optimisation is carried out with black-box algorithms. In the second part, the problem of swimming micro-organisms is modelled using the Arbitrary-Lagrangian-Eulerian formalism and simulated via the Finite Element method. A coherent framework for the simulation of different swimmers is proposed: multi-body, flagellated or elastic microswimmers can be investigated via this modular platform. We show that interactions with optimisation or machine-learning algorithms are possible by studying the gait optimisation of a bidimensional multi-sphere micro-swimmer.
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https://tel.archives-ouvertes.fr/tel-03701091
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Submitted on : Tuesday, June 21, 2022 - 4:18:12 PM
Last modification on : Thursday, June 30, 2022 - 8:24:15 AM

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Luca Berti. Numerical methods and optimization for micro-swimming. Numerical Analysis [math.NA]. Université de Strasbourg, 2021. English. ⟨NNT : 2021STRAD021⟩. ⟨tel-03701091v2⟩

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