A wave model for simulating vessel effecting shallow-water waves in real-time

We propose a novel solution to simulate vessel effecting shallow water waves in real-time for usage in maritime training simulators. The solution is based on the Navier-Stokes (NS-E) equations that describe the motion of fluids. The NS-E is derived from the continuity equation describing the conservation of mass and the conservation of momentum theory on 3 directions. Thus, the usage of NS-E produces the most accurate numerical results over other equations (Boussinesq Equn, Green-Naghdi Equn). By depth integrating the NS-E the resulting depth averaged equations are used to solve for wave heights in shallow water surfaces. We use the open source CFD software package OpenFOAM in our solution. The depth averaged NS-E , which is solved via the PIMPLE algorithm gives the output of the height fields of the waves over the simulation area considered.