We study a simple lattice model of shear-induced clustering in two dim
ensions in which clusters of particles aggregate under an imposed shea
r flow and fragment stochastically. Two non-equilibrium steady states
are identified: an unjammed state and a jammed slate characterised by
a system-spanning cluster. A discontinuous jamming transition with str
ong hysteresis occurs as the shear rate is increased or fragmentation
rate decreased. We study the kinetics of jamming and measure power law
cluster size distributions. We also consider some general simulation
issues including the role of Galilean invariance. (C) 1998 Elsevier Sc
ience B.V. All rights reserved.