An efficient interface capturing method for a large collection of interacting bodies immersed in a fluid

Meriem Jedouaa 1, 2, * Charles-Henri Bruneau 2 Emmanuel Maitre 1
* Corresponding author
1 EDP - Equations aux Dérivées Partielles
LJK - Laboratoire Jean Kuntzmann
2 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : An efficient method to capture an arbitrary number of fluid/structure interfaces in a level-set framework is built, following ideas introduced for contour capturing in image analysis. Using only three label maps and two distance functions we succeed in locating and evolving the bodies independently in the whole domain and get the distance between the closest bodies in order to apply a collision force whatever the number of cells is. The method is applied to rigid solid bodies in order to compare to the results available in the literature. In that case, a global penalization model uses the label maps to follow the solid bodies all together without a separate computation of each body velocity. Numerical simulations are performed in two- and three- dimensions. An application to immersed vesicles is also proposed and shows the capability and efficiency of the method to handle numerical contacts between elastic bodies at low resolution. Two-dimensional simulations of vesicles under various flow conditions are presented.
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Meriem Jedouaa, Charles-Henri Bruneau, Emmanuel Maitre. An efficient interface capturing method for a large collection of interacting bodies immersed in a fluid. Journal of Computational Physics, Elsevier, 2019, 378, pp.143-177. ⟨10.1016/j.jcp.2018.11.006⟩. ⟨hal-01236468v2⟩

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