Numerical solution of 3D highly nonlinear water entry problems

TL;DRAbstract

Ships or offshore structures may experience severe water impact problems in the harsh environments, such as cargo sloshing, slamming and green water on deck. These impact loads can cause serious structural damage and are of considerable concern to the stability and survivability of ships or offshore structures. All of these forces are associated with highly nonlinear free surface flows. -- The thesis presents the numerical solution of slamming problems for 3D bodies entering calm water symmetrically and asymmetrically, with prescribed entry velocities and free-fall motions. The highly nonlinear slamming problems are governed by the Navier-Stokes equations and are solved by a Constrained Interpolation Profile (CIP)-based finite difference method on a fixed Cartesian grid. The CIP method is employed for the advection calculations and a pressure-based algorithm is applied for the non-advection calculations. For the pressure computation, a Poisson-type equation is solved at each time step

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