In this paper, we discuss the numerical treatment of three-dimensional mixture models for (semi-)dilute and concentrated suspensions of particles in incompressible uids. The generalized Navier-Stokes system and the continuity equation for the volume fraction of the disperse phase are discretized using an implicit high-resolution nite element scheme, and maximum principles are enforced using algebraic ux correction. To prevent the volume fractions from exceeding the maximum packing limit, a conservative overshoot limiter is applied to the converged convective
['Yuliya Gorb', 'Otto Mierka', 'Liudmila S. Rivkind', 'Dmitri Kuzmin']
Finite element simulation of three-dimensional particulate flows using mixture models