  We present analytic and numerical models of a cluster wind flow resulting
from the interaction of stellar winds of massive stars, with a super massive
black hole (SMBH). We consider the motion of the stars as well as the
gravitational force of the SMBH. In the numerical simulations we consider two
cases: the first one with the stars is in circular orbits, and the second one
with the stars in eccentric orbits around the SMBH. We found that after the
system reaches an equilibrium, the circular and elliptical cases are very
similar. We found a very good agreement between the analytical and numerical
results, not only from our numerical simulations but also from other high
resolution numerical calculations. The analytical models are very interesting,
since the properties of such complex systems involving strong winds and a
massive compact object, can be rapidly inferred without the need of a numerical
calculation.

Astrophysics of Galaxies