ABSTRACT
We use the inelastic hard-sphere model for which the collisions are instantaneous and the simulation moves in time from one collision to the next and so on. The pre-and post-collisional velocities of two colliding particles are related by the expression:
where c˜ji = c˜j − c˜i is the pre-collisional velocity of particle j relative to i (c˜′ji being the corresponding postcollisional relative velocity), kji = k the unit vector directed from the center of the particle j to that of particle i, and e is the coefficient of normal restitution, with 0 ≤ e ≤ 1. We drive a collection of smooth inelastic hard-spheres in a cubic box of size L˜ by the uniform shear flow, using the Lees-Edwards boundary condition (Allen & Tildesley 1989). Let x˜ and y˜ (z˜) be the streamwise and transverse directions, respectively, with the origin of the coordinate-frame being positioned at the center of the box. In the following we restrict to a monodisperse system of particles of diameter, d˜, and material density ρ˜.
