This chapter provides a summary of key studies that lead people to the current state of sediment transport numerical modelling along with a summary of the current methods used to model sediment transport using computational fluid dynamics (CFD). In recent years, with the rapid development of CFD and computational power, numerical studies of local scour have become increasingly popular. The most popular single-phase approach neglects the effects of the dispersed phase on the continuous phases and solves the volumetric concentration of the dispersed phase using an advection-diffusion model. The sediment phase is treated as individual discrete particles, and their motion is solved based on Newton’s Law of motion. The Finite Volume Method is employed to solve the governing equations for the fluid mixture (air-water) phases. The computational domain is discretised into control volumes (cells) without overlapping.