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Modélisation numérique de problèmes hydrodynamiques aux frontières libres

Abstract : The subject of this thesis is the description of the dynamics of free boundaries in fluid mechanics within a phase field approach. The first part is devoted to the numerical method: both the general principle and the algorithm are presented. In the second part, we study the deformation and breakup of viscoelastic isolated drops submitted to an axisymmetric flow of elongation. In the stationary regime, we highlighted a curvature inversion at the tip of the drop, due to a localization of viscoelastic stresses. We also highlighted the independence of the breakup thresholds with respect to viscoelasticity, whereas the dynamics itself is strongly affected. The dynamics of two dimensional vesicles under shear flow is considered in the third part of this document. We have studied the limitations of the phase field approach for isolated vesicles. Then, we have highlighted the existence of a maximum in the lift force on the vesicle near a deformable substrate. These results are supported by a lubrication analysis. Finaly, a preliminary study of the blending of diphasic liquids is presented in the last part, in two dimensions.
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Contributor : Julien Beaucourt <>
Submitted on : Wednesday, July 13, 2005 - 12:40:39 PM
Last modification on : Tuesday, September 11, 2018 - 11:00:02 AM
Long-term archiving on: : Friday, April 2, 2010 - 9:37:42 PM


  • HAL Id : tel-00009749, version 1



Julien Beaucourt. Modélisation numérique de problèmes hydrodynamiques aux frontières libres. Modélisation et simulation. Université Joseph-Fourier - Grenoble I, 2005. Français. ⟨tel-00009749⟩



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