A three-dimensional CIP (Constrained Interpolation Profile) method for highly nonlinear wave-body interaction problems is presented. In the current numerical model, the wave-body interaction problem is treated as a multiphase problem, which includes a liquid phase (water), a gas phase (air) and a solid phase (floating body). A CIP based finite difference calculations are carried out in a regular computation domain with a Cartesian grid system. The free surface is captured by CIP method with a sharpness enhancement technique. The solid body is represented by distribution of virtual particles on the surface. A couple of three-dimensional numerical simulations are carried out to validate the proposed 3-D numerical model.


The goal of the current research is to develop a numerical simulation method for quantitatively prediction of local and global wave loads for highly nonlinear sea-keeping problems, such as slamming, water on deck, wave impact by green water, and capsizing. These problems are beyond the capability of traditional potential flow theory based BEM method. A CFD method that based on the solution of the full Navier- Stokes equation is necessary. A popular way for CFD simulation of a floating body in waves is to perform numerical solution inside the water domain and let the free surface and the body surface as domain boundaries that need to be determined. In the case a curvilinear grid or an unstructured grid that is adapted to these boundaries should be used. For a highly nonlinear problem that contains complicated deformation of free surface or violent motion of floating body, the difficulty of the grid generation may make numerical calculation too expensive or even impossible. Therefore in our numerical model we use a different approach to challenge such highly nonlinear problem.

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