Abstract:
We propose a numerical scheme
for the simulation of fluid-particles flows with two incompressible
phases. The numerical strategy is based on a finite volume
discretization on staggered grids, with a flavor of kinetic schemes in
the definition of the numerical fluxes. We particularly pay attention
to the difficulties related to the volume conservation constraint
and to the presence of a close-packing term which imposes a threshold
on the volume fraction of the disperse phase. We are able to
identify stability conditions on the time step to preserve this
threshold and the energy dissipation of the original model. The
numerical scheme is validated with the simulation of sedimentation
flows.