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

Meriem Jedouaa (1) , Charles-Henri Bruneau (2) , Emmanuel Maitre (1)

1 EDP - Equations aux Dérivées Partielles
2 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS

An efficient method to capture an arbitrary number of fluid/solid or fluid/fluid interfaces in a level-set framework is built, following the ideas introduced for contour capturing in image analysis. Using only three label maps and two distance functions it is possible to get the distance between the closest cells and to apply the 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. Consequently, the method is very efficient when dealing with a large number of cells. Numerical simulations are performed in two-and three-dimensions under gravity force.

Mots clés: level set method; multiple cells; fluid/structure interaction; collision model

Domaines: Analyse numérique [math.NA]

Meriem Jedouaa, Charles-Henri Bruneau, Emmanuel Maitre. An efficient interface capturing method for a large collection of interacting cells immersed in a fluid. 2015. ⟨hal-01236468v1⟩