Numerical simulation of the flow around a planing body by MPS method

In the planing of a high-speed boat, it is difficult to predict the complex geometry of spray and highly deformed free surface. The scale of spray is often larger than the length of the boat and its shape changes according to the speed and attitude of boat. In the situation, it is difficult to provide computational mesh with appropriate spatial resolution in both complex spray geometry and boundary layers around the hull. This paper presents a simulation procedure of the large spray formation around a high speed planing body. The method is based on Moving Particle Semi-implicit (MPS) method with modifications for ship hydrodynamics. They are surface tension, smooth body boundary, and efficient treatment of collision between free surfaces. The paper provides examples of two-dimensional falling wedge on the free surface and three-dimensional planing wedges.

► Particle flow simulation for a high-speed planing body is presented.
► The list-based particle search method is applied for large scale spray.
► Mirror-image particle method with the consideration of corner is presented.
► Surface tension model for the limited spatial resolution is tested.
► Simulation of a 2D and 3D falling wedge show good agreement with the experiment.