TABLE OF CONTENTS 



VOLUME I 



Page 



ABSTRACT ii 



PREFACE iii 



LIST OF TABLES vii 



LIST OF FIGURES viii 



LIST OF SYMBOLS xi 



CHAPTER 



I INTRODUCTION 1 



II STREAM FUNCTION WAVE THEORY 2 



Introduction 2 



Formulation 3 



Differential Equation 3 



Boundary Conditions 4 



Bottom Boundary Condition (BBC) 4 



Kinematic Free Surface Boundary Condition (KFSBC) .... 4 



Dynamic Free Surface Boundary Condition (DFSBC) 4 



The Stream-function Solution 6 



ffl EVALUATION OF VALIDITIES OF WAVE THEORIES 6 



Introduction 6 



Discussion of Differences Between Stream-function and 



Other Wave Theories 6 



Analytical Validity 8 



Definition of Boundary Condition Errors 8 



Results of Analytical Validity Comparison 10 



Comparison with Stream-function Theory Developed by 



Von Schwind and Raid 18 



Conclusions Resulting from the Analytical Validity Study .... 18 



Experimental VaUdity 22 



Conclusions Resulting from the Experimental Vahdity Study . . 25 



