  We compute the skewness $t_3$ and the corresponding hierarchical amplitude
$T_3$ of the divergence of the velocity field for arbitrary non-Gaussian
initial conditions. We find that $T_3$ qualitatively resembles the
corresponding hierarchical amplitude for the density field, $S_3$, in that it
contains a term proportional to the initial skewness, which decays inversely as
the linear growth factor, plus a constant term which differs from the
corresponding Gaussian term by a complex function of the initial three- and
four- point functions. We extend the results for $S_3$ and $T_3$ with
non-Gaussian initial conditions to evolved fields smoothed with a spherical
tophat window function. We show that certain linear combinations, namely $S_3 +
{1 \over 2} T_3$, $S_3 + T_3$, and $s_3 + t_3$, lead to expressions which are
much simpler, for non-Gaussian initial conditions, than $S_3$ and $T_3$ (or
$s_3$ and $t_3$) considered separately.
