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We present analytic and numerical models of a cluster wind flow resultingfrom the interaction of stellar winds of massive stars, with a super massiveblack hole (SMBH). We consider the motion of the stars as well as thegravitational force of the SMBH. In the numerical simulations we consider twocases: the first one with the stars is in circular orbits, and the second onewith the stars in eccentric orbits around the SMBH. We found that after thesystem reaches an equilibrium, the circular and elliptical cases are verysimilar. We found a very good agreement between the analytical and numericalresults, not only from our numerical simulations but also from other highresolution numerical calculations. The analytical models are very interesting,since the properties of such complex systems involving strong winds and amassive compact object, can be rapidly inferred without the need of a numericalcalculation.

Huffing, and puffing, and blowing your house in: Strong stellar winds interaction with a super massive black hole