Can clusters of galaxies be used to trace the large-scale peculiar vel
ocity field of the universe? We answer this question by using large-sc
ale cosmological simulations to compare the motions of rich clusters o
f galaxies with the motion of the underlying matter distribution. Thre
e models are investigated: Omega = 1 and Omega = 0.3 CDM, and Omega =
0.3 PBI models, all normalized to the COBE background fluctuations. We
compare the cluster and mass distribution of peculiar velocities, bul
k motions, velocity dispersions, and Mach numbers as a function of sca
le for R greater than or equal to 50 h(-1) Mpc. We also present the la
rge-scale velocity and potential maps of clusters and of the matter. W
e find that clusters of galaxies trace well the large-scale velocity f
ield and can serve as an efficient tool to constrain cosmological mode
ls. The recently reported bulk motion of clusters 689 +/- 178 km s(-1)
on similar to 150 h(-1) Mpc scale (Lauer and Postman 1994) is larger
than expected in any of the models studied (less than or equal to 190
+/- 78 km s(-1)).