The feasibility of the macroparticle simulation of stochastic (momentu
m) cooling is discussed. A computationally effective algorithm for sim
ulating the particle dynamics is proposed. The scaling laws for the nu
mber of particles and cooling system bandwidth are numerically checked
. Results of simulation of the momentum stacking in a simplified model
are presented, indicating that reproducing 3 orders of magnitude in t
he density variation is easily achievable.