Vorticity generation and transport at interfaces and free surfaces in three-dimensional flows

Vorticity is an important physical quantity which describes the rotation of a fluid, and is useful for visualising and understanding various flow structures within a fluid. This thesis investigates the creation of vorticity on either a solid boundary, the boundary between two fluids, or the boundary between a fluid and a vacuum, and finds that the total vorticity within a fluid flow is usually conserved.