Joint French-Czech mathematics meeting

INSA-Lyon, November 29-30, 2018

Bertrand Maury

Université Paris-Sud

Direct simulation of fluid-grain mixtures.

A huge quantity of methods have been introduced in the last two decades to simulate the flow of rigid grains in a viscous fluid. Various strategies can be undertaken : moving or fixed mesh, finite element / difference / volume approaches, together with dozens of way to account for the local rigid motion. We shall give a (non exhaustive) overview of the different ways that have been proposed, and comment on their behavior in terms of numerics and modeling, in particular in terms of accuracy in the computation of fluid-grain interaction forces, and ability to capture short-range interactions between grains.