CONTENTS 



Page No, 



ABSTRACT -------------------- i 



INTRODUCTION ---------------_-_ 2 



Background of Project --------_-_--_ 2 



Earlier Studies of Wave Refraction ---------- 3 



Scope of Present Study -------------- 3 



METHOD ---_---------_-----_ 4 



Previous Work ----_-------_---_ 4 



Construction of Wave Rays ------------- 4 



Computer Operations --------------- 5 



Representation of Output ------------- 8 



PROGRAM DEVELOPMENT ---------------- 9 



Interpolation Surfaces -------------- 9 



Ray Curvature Approximation ------------ 12 



Grid. Considerations --------------- 12 



Wave Ray Representation ---__------_- 13 



Testing of Ray Constructions ------------ 13 



CONCLUSION ------------------- 13 



REFERENCES ------------------- 14 



TABLE 1 - Computer Input Specifications for Waves of 4-Sec. Period 16 



TABLE 2 - Computer Input Specifications for Waves of 6-Sec. Period 17 



LIST OF FIGURES ----------------- 18 



FIGURES 1-9---------- --------19-29 



APPENDICES 



A - Computer program for compilation of wave velocities as 



a function of wave period and water depth ------ 30 



B - Computer program for distribution of Wave Velocity values 



over a grid of depth values as a function of wave period. - 34 



C - Computer program to produce matrices for deriving equations 



of linear surfaces -------------- 38 



D - Computer program for wave refraction (linear-interpolation) 



using the IBM 1620 -------------- 40 



E - Computer program for wave refraction (linear-interpolation) 



using the IBM 7094 -------------- 55 



F - Derivations relating -— with -— and -— with ------- 59 



^ ax sx 5Y ay 



G - Method used in obtaining most frequent combinations of deep- 

 water height, period, and direction of waves capable of 



striking Virginia Beach ------------ 60 



