2014
DOI: 10.1137/130943078
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Reinforcement Learning and Wavelet Adapted Vortex Methods for Simulations of Self-propelled Swimmers

Abstract: We present a numerical method for the simulation of collective hydrodynamics in self-propelled swimmers. Swimmers in a viscous incompressible flow are simulated with a remeshed vortex method coupled with Brinkman penalization and projection approach. The remeshed vortex methods are enhanced via wavelet based adaptivity in space and time. The method is validated on benchmark swimming problems. Furthermore the flow solver is integrated with a reinforcement learning algorithm, such that swimmers can learn to adap… Show more

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Cited by 117 publications
(84 citation statements)
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“…This system of equations is solved in the velocity-vorticity form by combining remeshed vortex methods with Brinkmann penalization and a projection approach [54]. This method has been extensively validated across a range of biophysical problems, from bluff body flows to biological swimming [23,[54][55][56].…”
Section: Governing Equations Numerical Methods and Validationmentioning
confidence: 99%
“…This system of equations is solved in the velocity-vorticity form by combining remeshed vortex methods with Brinkmann penalization and a projection approach [54]. This method has been extensively validated across a range of biophysical problems, from bluff body flows to biological swimming [23,[54][55][56].…”
Section: Governing Equations Numerical Methods and Validationmentioning
confidence: 99%
“…This allows users to formulate simulations without the need of explicitly interacting with a highly sophisticated spatiotemporally-adaptive machinery. The present software have been used for the simulations of bluff body flows [23], flow-mediated interactions between two cylinders [24], for the analysis of optimal shapes in anguilliform swimming at intermediated Reynolds numbers [25], and the investigation of reinforcement learning within the context of self-propelled bodies [26].…”
Section: Introductionmentioning
confidence: 99%
“…Its most important advantage in the present context is that it provides a 47 direct quantitative estimate to the hydrodynamic power in self-propelled swimming. 48 Although the CFD modelling of collective swimming is not new, most of the prior work 49 has been limited to groups of two-dimensional (2D) swimmers in 2D fluids [16][17][18][19][20][21][22][23][24][25]. To test the influence of phase difference, for each position (circles) we implemented four simulations (Ύφ = 0, T /4, T /2 and 3T /4, respectively).…”
mentioning
confidence: 99%