Simulation Of The Hydrodynamic Interaction of Bodies

When two ships are operating in proximity, the resulting hydrodynamic forces can cause significant loads on the ships. Such problems can be solved by a numerical approach, based on the use of a three-dimensional panel method. The objective of this paper is to compute the case of two ships which are allowed to move under the influence of the hydrodynamic forces. In this problem, the direct evaluation of the time derivative term from Bernoulli's equation may be computed by one-sided finite difference if two ships are moving. A new approach presented here is to partially combine Bernoulli's equation and Lagrange's equation. Numerical experiments will demonstrate and validate the efficacy of this approach from the concept of the "possible displacement" which leads to a more accurate two-sided finite difference scheme. Thesis Supervisor: F. Thomas Korsmeyer Title: Lecturer Acknowledgments I am particularly grateful to my advisor, F. Thomas Korsmeyer for his patience, encouragement and guidance. Also, I would like to express my appreciation to my friends for their warm care. Finally, this thesis is dedicated to my parents for their love and support.