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We present a collision model for phase-resolved Direct Numerical Simulationsof sediment transport that couple the fluid and particles by the ImmersedBoundary Method. Typically, a contact model for these types of simulationscomprises a lubrication force for particles in close proximity to another solidobject, a normal contact force to prevent particles from overlapping, and atangential contact force to account for friction. Our model extends the work ofprevious authors to improve upon the time integration scheme to obtainconsistent results for particle-wall collisions. Furthermore, we account forpolydisperse spherical particles and introduce new criteria to account forenduring contact, which occurs in many sediment transport situations. This isdone without using arbitrary values for physically-defined parameters and bymaintaining the full momentum balance of a particle in enduring contact. Wevalidate our model against several test cases for binary particle-wallcollisions as well as the collective motion of a sediment bed sheared by aviscous flow, yielding satisfactory agreement with experimental data by variousauthors.

A collision model for grain-resolving simulations of flows over dense, mobile, polydisperse granular sediment beds