TABLE OF CONTENTS 



Page 



LIST OF FIGURES iii 



TABLE iv 



NOTATION V 



ABSTRACT 1 



ADMINISTRATIVE INFORMATION 1 



INTRODUCTION 1 



MATHEMATICAL FORMULATION 4 



NUMERICAL SCHEME 10 



BOUNDARY FUNCTIONS 10 



LAPLACE SOLVER 16 



RESULTS 18 



CONCLUSION 24 



REFERENCES 39 



LIST OF FIGURES 



1 - U-Shaped Body in the Free Surface at Time t = 0.0 25 



2 - Geometric Description of the Moving Body Contour 26 



3 - Fluid Region for Flow Symmetric about the y-Axis . 27 



4 - Subregions into Which the Fluid Region is Divided 28 



5 - Mesh Size in Each Subregion of the Computational Region 29 



6 - Initial Mesh Near the Body 30 



7 - Free-Surface Elevations Near Body for t = 5.4, 5.6, ..., 8.8 31 



8 - Free-Surface Elevations Near Body for t = 9.0, 9.2, ..., 11.4, 32 



9 - Free-Surface Positions in a Frame of Reference Fixed to the Body for 



t = 6.2, 6.4, .... 9.0 33 



iii 



