  Let $W$ be a Weyl group corresponding to the root system $A_{n-1}$ or $B_n$.
  We define a simplicial complex $ \Delta^m_W $ in terms of polygon dissections
for such a group and any positive integer $m$. For $ m=1 $, $ \Delta^m_W$ is
isomorphic to the cluster complex corresponding to $ W $, defined in \cite{FZ}.
We enumerate the faces of $ \Delta^m_W $ and show that the entries of its
$h$-vector are given by the generalized Narayana numbers $ N^m_W(i) $, defined
in \cite{Atha3}. We also prove that for any $ m \geq 1$ the complex $
\Delta^m_W $ is shellable and hence Cohen-Macaulay.
