Development of an hydrodynamic hull model for slender planning hulls based on the 2D+t theory

Abstract: A two-dimensional Boundary Element Method (BEM) based on potential flow theory is developed. Exact body boundary conditions and fully nonlinear free surface boundary conditions are considered in order to accurately model nonlinear wave-body interactions. The two-dimensional symmetric water entry of a wedge is studied. Gravity effects are generally included and several numerical treatments are performed. Van Karman's theory is used to simulate the first instant of the water entry. A jet cut-off model is developed in order to tackle the problem of a thin water jet running up along the hull. Smoothing and regriding of the free surface profile are implemented and performed at each time step in order to limit numerical errors and instabilities. Reliable pressure results and first encouraging results are obtained when non-viscous flow separation happens.