  We have performed a series of simulations of clusters of galaxies on the
basis of the smoothed particle hydrodynamics technique in a spatially-flat cold
dark matter universe with $\Omega=0.3$, $\lambda=0.7$, and H_0=70 km/s/Mpc as
one of the most successful representative cosmological scenarios. In
particular, we focus on the Sunyaev--Zel'dovich effect in submm and mm bands,
and estimate the reliability of the estimates of the global Hubble constant
$H_0$ and the peculiar velocity of clusters $v_r$. Our simulations indicate
that fractional uncertainties of the estimates of $H_0$ amount to $\sim 20%$
mainly due to the departure from the isothermal and spherical gas density
distribution. We find a systematic underestimate bias of $H_0$ by $\sim 20%$
for clusters $z\approx 1$, but not at $z\approx 0$. The gas temperature drop in
the central regions of our simulated clusters leads to the underestimate bias
of $v_r$ by $\sim 5%$ at $z\approx 0$ and by $\sim 15%$ at $z\approx 1$ in
addition to the statistical errors of the comparable amount due to the
non-spherical gas profile.
