The research of Feng Yuan covers: 1) the theory of black hole accretion and outflow, including the dynamics of accretion and the formation of wind and jet; 2) theoretical modeling of active galactic nuclei and black hole X-ray binary; 3) the role of AGN feedback in galaxy formation and evolution. While he has been using analytical approach to study the above-mentioned topics, in recent years he focuses more on the hydrodynamical and magnetohydrodynamical numerical simulations using supercomputers.