In the first part of the talk, I present the tests of purely mechanical <br />
AGN feedback models via a nuclear wind around the central SMBH in <br />
elliptical galaxies by comparing simulation results to four well <br />
defined observational constraints. In the second part, I show simulation <br />
results for the coevolution of the SMBH and its host galaxy under <br />
different environments, represented by different amounts of gas <br />
stripping. I also present a short explanation of several ongoing <br />
projects.