Numerical solution of water entry problem of 2-D wedges

Zhang, Min (2012) Numerical solution of water entry problem of 2-D wedges. Masters thesis, Memorial University of Newfoundland.

[English] PDF (Migrated (PDF/A Conversion) from original format: (application/pdf)) - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Download (16MB) [English] PDF - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. (Original Version)

Abstract

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.

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