The simulation of breaking wave has a computationally intensive application. In order to reduce the computation, this thesis presents a slice-based water simulation method for ocean breaking waves on natural simulation by generating the 2D simulations and then integrating these 2D simulation results into a 3D shape. We first simulate a 2D wave by a 2D Navier-Stokes solver to obtain the varying of ocean. Then, we combine VOF (Volume of fluid) with a new reconstruct free surface method that is a fast 2D simulation. We use linear interpolation with noise function to construct a complete 3D ocean simulation from these 2D simulations. By doing these, one can reduce the computation time and achieve better efficiency.

We present a slice-based method that combined with fluid-solid interaction to render the oceans interact with the objects of the simulation. First, according to the key slices selection one can determine the initial slices simulation for reducing the computation on the number of grid and expressing the solid appearance. Second, we used 3D vector Navier-Stokes equations and combined with 3D fluid-solid coupling to comply with the laws of physics for 2D slice simulation. Third, using a volume of fluid method one can reconstruct the 2D ocean surface and further apply interpolation to extended 2D surfaces to 3D ocean surface. Finally, using the Doo-Sabin subdivision surfaces method is to be smoother for the 3D surface. From the viewpoint of ocean simulation, we can not only solve the fluid-solid coupling problem of objects floating on the sea but also achieve better result in efficiency compared with traditional ocean simulation. From the viewpoint of fluid-solid coupling, the proposed method can greatly reduce the computation in number of grid and be applied to embedded systems, games or films effectively.