Solid-liquid suspensions in stirred tanks are common unit operations in many process industries. The complex flow characteristics of these systems, such as two-phase turbulence and interphase interaction, make the corresponding numerical simulations complicated and challenging. This paper presents a review of models dealing with the continuous and discrete phases of solid-liquid suspensions and summarizes the applications for simulating related flow phenomena, including velocity and turbulence components, solids concentration, just-suspended speed, cloud height, optimization of geometrical parameters, and particle shape and type. Perspectives concerning different modeling approaches are presented, and the Eulerian-Lagrangian approach with resolved particles is highlighted to address the underlying suspension mechanisms in stirred tanks.