TABLE OF CONTENTS 



Page 



ABSTRACT 1 



ADMINISTRATIVE INFORMATION 1 



INTRODUCTION 1 



MATHEMATICAL FORMULATION OF THE PROBLEM 1 



SOLUTION OF THE PROBLEM 4 



SHALLOW-WATER APPROXIMATION 6 



NUMERICAL RESULTS 7 



APPENDIX A - NUMERICAL EVALUATION OF ^ AND I 2 14 



REFERENCES 16 



LIST OF FIGURES 



Figure 1 — Coordinate System 3 



* ( B \ a 



Figure 2 - Bottom Pressure for — = 1, F = 0.625,1 — =0.31 9 



h (B 



Figure 3 - Bottom Pressure for — = 1, F = 0.85, I — = 0.3 



Lt \*^ 



h (B \ 

 Figure 4 - Bottom Pressure for — = 1, F = 1.5,1 — =0.3 I 10 



Figure 5 - Bottom Pressure for ->- = 1, F = 2, (— = 0.3 ' 



h (B 

 Figure 6 - Bottom Pressure for — = 0.6, F = 0.85, (— = 0.3 ) 



h (B \ 

 Figure 7 - Bottom Pressure for —= 0.6, F = 1.5, (—= 0.3 J 11 



Figure 8 — Comparison of Bottom Pressures at Subcritical and Supercritical 



h v I B \ 

 Speeds for — =0.6,— =0,1 — = 0.3 1 12 



