On présente une méthode de calculs de l'écoulement tridimensionnel instationnaire autour d'un obstacle immergé avec vitesse d'avance par une méthode de singularités. Les deux conditions de surface libre sont utilisées sous leurs formes non-linéaires. On utilise une modélisation dans le domaine temporel par une méthode mixte Euler–Lagrange reposant sur la connaissance, à chaque pas de temps, du potentiel sur la surface libre et de sa position. On résout alors un problème mixte, avec une condition de Neumann sur le corps et de Dirichlet sur la surface libre. On utilise une technique des sources désingularisées. La méthode est validée sur des exemples stationnaires.
This Note describes a computational method for three dimensional unsteady flows around a submerged body with forward speed. The two free-surface boundary conditions are written under their non linear form. The calculations are carried out in the time domain using a mixed Euler–Lagrange scheme based on the knowledge, at each time step, of the potential on the free surface and of the location of this surface. A mixed problem with a Neumann condition on the body and a Dirichlet one on the free surface is then solved. The panel method uses desingularized sources to represent free surface effects. Validations are carried out on steady flows.
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Keywords: Computational fluid mechanics, Hydrodynamics, Non linear free surface effects, Forces, Wave pattern, Time domain, Unsteady
Alain Rebeyrotte 1 ; Malick Ba 1 ; Michel Guilbaud 2
@article{CRMECA_2005__333_2_163_0,
author = {Alain Rebeyrotte and Malick Ba and Michel Guilbaud},
title = {Prise en compte des effets non lin\'eaires de surface libre en \'ecoulement instationnaire},
journal = {Comptes Rendus. M\'ecanique},
pages = {163--170},
publisher = {Elsevier},
volume = {333},
number = {2},
year = {2005},
doi = {10.1016/j.crme.2004.10.002},
language = {fr},
}
TY - JOUR AU - Alain Rebeyrotte AU - Malick Ba AU - Michel Guilbaud TI - Prise en compte des effets non linéaires de surface libre en écoulement instationnaire JO - Comptes Rendus. Mécanique PY - 2005 SP - 163 EP - 170 VL - 333 IS - 2 PB - Elsevier DO - 10.1016/j.crme.2004.10.002 LA - fr ID - CRMECA_2005__333_2_163_0 ER -
Alain Rebeyrotte; Malick Ba; Michel Guilbaud. Prise en compte des effets non linéaires de surface libre en écoulement instationnaire. Comptes Rendus. Mécanique, Volume 333 (2005) no. 2, pp. 163-170. doi : 10.1016/j.crme.2004.10.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.10.002/
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