Hydrodynamic noise from an air-water interface is often encountered in marine engineering structures. It involves a complex mechanism, various forms of sound sources and many factors affecting the propagation. It interacts with the free surface and is affected by cavitation and water-air-bubble mixed flow, which has a negative impact on the concealment of the ship, giving this line of inquiry strong research significance. This paper introduces a noise calculation method and its applications in terms of free surface noise, cavitation noise and water-air-bubble mixed flow noise respectively, and describes their computational methods and key issues. The solutions currently in use are also introduced. Finally, future research directions are proposed.