Observations have shown that the cold gas formation rate at the centers of some galaxy clusters is much smaller than expected based on X-ray luminosity, a discrepancy called the `cool-core problem', and active galactic nuclei (AGNs) are considered to be a major feedback source that prevents the hot gas from cooling and reduces star formation. In this talk I will have a brief introduction about current theoretical understanding of the problem and open questions. I will also introduce our work, where we have developed a new model to treat AGN feedback in hydrodynamical simulations of isolated cluster environment. With the new model we have performed a set of kiloparsec scale simulations with the numerical code FLASH to study the interaction of AGN jets and driven turbulence in the intra-cluster medium, where we have shown that precessing jets coupled with strong turbulent driving can enhance accretion onto the SMBH and thus affect the feedback process.