Numerical solution of 2-D slamming problem with a CIP method

Abstract

This thesis presents numerical solutions of the slamming problem for 2-D sections entering calm water. The highly nonlinear water entry problem governed by the Navier-Stokes equations was solved by a Constrained Interpolation Profile (ClP)-based finite difference method on a fixed Cartesian grid. In the computation, the CIP method was employed for the advection calculations and a pressured-based algorithm was applied for non-advection calculations. The free surfaces and the body boundaries were captured using color functions. For the pressure calculation, a Poisson-type equation was solved at each time step by the Conjugate Gradient (CG) iterative method. Validation studies have been carried out for wedges with various deadrise angles and for a bow flare section. Pressures, free surface elevations and hydrodynamic forces were compared with experimental results and numerical solutions by the boundary element method (BEM), the volume of fluid (VOF) method, and the smoothed particle hydrodynamics (SPH) method.