Publisher Summary Ship maneuvering comprises course keeping, course changing, track keeping, and speed changing. Maneuvering requirements are a standard part of the contract between shipyard and ship-owner. International Maritime Organization (IMO) regulations specify minimum requirements for all ships, but ship-owners may introduce additional or more severe requirements ship types, for example, tugs, ferries, dredgers, and exploration ships. Ship maneuverability is described by its initial turning ability, sustained turning ability, yaw checking ability, stopping ability, and yaw stability. The sustained turning ability appears to be the least important because it describes the ship behavior only for a time long after initiating a maneuver. The stopping ability is of interest only for slow speeds. For avoiding obstacles at high ship speed, it is far more effective to change course than to stop. Understanding ship maneuvering and the related numerical and experimental tools is important for the designer for the choice of maneuvering equipment of a ship. Both maneuvering and seakeeping of ships concern time-dependent ship motions with some minute differences. This chapter discusses the most common computational methods for maneuvering flows.