Numerical solution of water entry problem of 2-D wedges

The numerical solution of nonlinear water entry problem for two-dimensional (2-D) wedges is presented in this thesis. The Boundary Element Method (BEM) was used for solving the Laplace equation, and the Mixed Eulerian Lagrangian scheme was employed to track the nonlinear free surface. The free surface profile and the velocity potential are represented by Cubic-Splines. The forward fourth-order Runge-Kutta method was used for time marching. A cut-off treatment was applied to the thin jet to avoid computational instability. -- Verification studies were carried out for a wavemaker with impulsive motions. Pressure distributions, free surface elevations and hydrodynamic forces were calculated and compared with analytical solutions and other numerical results. The developed numerical method was then employed to solve the symmetric water entry of 2-D wedges with various deadrise angles. Pressure distributions and free surface elevations were compared with experimental results and solutions by other numerical methods, such as the similarity method, BEM, and the constrained interpolation profile (CIP) method