Comptes Rendus
no. 11-12
Partial differential equations
Note on the fall of an axisymmetric body in a perfect fluid over a horizontal ramp
[Note sur la chute d'un solide axisymétrique dans un fluide parfait au-dessus d'un plan horizontal]

Présenté par : the Editorial Board

Matthieu Hillairet1 ; Diaraf Seck2, 3 ; Lamine Sokhna1, 2, 3
1 IMAG, Université de Montpellier, CNRS, Montpellier, France
2 Laboratoire de mathématiques de la décision et d'analyse numérique (LMDAN), FASEG, UCAD, Senegal
3 École doctorale de mathématiques et informatique, UCAD, Senegal
Comptes Rendus. Mathématique, Volume 356 (2018) no. 11-12, pp. 1156-1166.

Dans cette note, nous considérons la chute d'un solide axisymétrique dans un fluide parfait au-dessus d'un plan. Il est connu [12] que l'éventualité d'un contact entre le solide et le plan est reliée à l'asymptotique de l'effet de masse ajoutée quand la distance entre le plan et le solide tend vers 0. Nous proposons une nouvelle méthode pour calculer cet effet de masse ajoutée, qui fournit simultanément l'asymptotique d'un champ de vitesses associé entre le solide et le plan.

In this note, we consider the fall of an axisymmetric body in a perfect fluid over a ramp. It was shown in [12] that the possibility of a collision between the body and the ramp is related to the asymptotics of the so-called added mass when the distance between the ramp and the body goes to 0. We propose here a new method to compute this added mass, which provides simultaneously an approximation of an associated fluid velocity field in the gap between the ramp and the body.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.10.001

Matthieu Hillairet 1 ; Diaraf Seck 2, 3 ; Lamine Sokhna 1, 2, 3

1 IMAG, Université de Montpellier, CNRS, Montpellier, France
2 Laboratoire de mathématiques de la décision et d'analyse numérique (LMDAN), FASEG, UCAD, Senegal
3 École doctorale de mathématiques et informatique, UCAD, Senegal 
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     journal = {Comptes Rendus. Math\'ematique},
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Matthieu Hillairet; Diaraf Seck; Lamine Sokhna. Note on the fall of an axisymmetric body in a perfect fluid over a horizontal ramp. Comptes Rendus. Mathématique, Volume 356 (2018) no. 11-12, pp. 1156-1166. doi : 10.1016/j.crma.2018.10.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.10.001/

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