CONTENTS 



Page 



ABSTRACT 1 



INTRODUCTION 1 



APPROACH 2 



ASYMPTOTIC EVALUATION OF THE KELVIN WAKE 4 



A SIMPLE TEST CASE: THE FAR-FIELD WAVE-AMPLITUDE FUNCTION 8 



A SIMPLE TEST CASE: THE FAR-FIELD KELVIN WAKE 12 



SUMMARY OF RESULTS AND CONCLUSIONS 17 



ACKNOWLEDGMENTS 19 



REFERENCES 19 



FIGURES 



1. Real parts of the functions E+(t;x,a) and E_(t;x,a) for x = -50 and 



a = .1, .2, 1/23/2, .4, and .5 3 



2. Real and imaginary parts of the functions (l+t2)K(t) and t(l+t2)K(t) 

 for a simple ship bow shape in the zeroth-order slender-ship 



approximat ion 4 



3a. The phase function 6(t;a) for < t < 6 and several values of ex 4 



3b. The function 6'(t;ct) for < t < 6 and several values of a 4 



3c. The function 9"(t;a) for < t < 3 and several values of ot 4 



4. The functions to(ot), t + (a) and t_(a) 5 



5. The functions tgCa), t±(a), OgCa), OQ''(a), 0±'(a) 



and 0+' ' (a) for < a < 0.5 5 



6. The classical Kelvin ship wave pattern 7 



7. The wavelengths X+(a) and propagation angles fe( <*) of the transverse 



and divergent waves in the Kelvin wake 7 



iii 



