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Numerical simulation of the flight of a badminton shuttlecock using the SPH method

Abstract : This study aims at studying the capability of a meshless method, the Smoothed Particle Hydrodynamics (SPH) method, to predict the whole flight of a badminton shuttlecock, including the first stage of its flight where flipping motion induced by the dynamics or the player occurs. As a first step, our study is restricted to 2D configurations, and a 2D shuttlecock model is proposed that has same dimensions and weight of a real shuttlecock. After first validating the numerical approach on a simple test-case of a ballistic flight of a cylinder, we investigate flights of the proposed 2D shuttlecock model. Similarly to previous numerical studies [10, 11], we simulate the air flow around a shuttlecock fixed in a wind tunnel and find that the variation versus the Reynolds number of the drag coefficient (C x) is in a quite good agreement with experimental averaged values. We also investigate the badminton shuttlecock trajectory in the most stable configuration where the cock stopper is already in front of the trajectory and show that trajectories are similar to the ones studied in the work of Cohen et al. [4]. We finally simulate the complete flight of the badminton shuttlecock, from the departure with the cock stopper oriented backward, to the final stage of the flight with a stable trajectory. We show that the main characteristics of the flight as well as the shuttlecock behavior during the flight can be reproduced thanks to this numerical approach, and we analyze all the phases of the flight: the turning over phase, the oscillation phase, and then the stabilization phase. Numerical results obtained in this 2 Mirantsoa Rasolofomanana et al. study compare favorably with previous experimental studies. To the best of our knowledge, it is the first time that the complete flight of a badminton shuttlecock has been numerically predicted.
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Contributeur : Nicolas Grenier <>
Soumis le : lundi 19 octobre 2020 - 21:44:21
Dernière modification le : lundi 22 février 2021 - 16:21:21
Archivage à long terme le : : mercredi 20 janvier 2021 - 19:29:26


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  • HAL Id : hal-02971917, version 1



Mirantsoa Rasolofomanana, N. Grenier, Christian Tenaud. Numerical simulation of the flight of a badminton shuttlecock using the SPH method. 2020. ⟨hal-02971917⟩



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