Gravity Waves and Finite Turbulent Flow Fields 



An elementary analysis was performed of the refraction of 

 waves entering a finite current field. A combination of these results 

 with simple diffraction considerations qualitatively reproduced the 

 measured crest line deformations. A unified theoretical study of 

 this complex problem is required to provide quantitative results. 



Recommendations for further investigation of wave interaction 

 with turbulence field with no nnean flow are made. 



It appears that the present results may be useful in develop- 

 ing full-scale procedures for local "quieting" of the deep water waves 

 behind support ship for retrieving or launching submersibles or 

 landing craft in a following sea. 



ACKNOWLEDGMENTS 



The author wishes to express his appreciation to Dr. R. Hires 

 of Stevens Institute of Technology for vziluable discussions and tech- 

 nical advice rendered during the course of this study. He is also 

 indebted to Professors W. J. Pierson, Jr. and G. Neumann of 

 New York University for their continued encouragement and helpful 

 suggestions throughout the study. Professor Eric S. Posmentier of 

 New York University is thanked for his thorough review of the 

 dissertation. 



REFERENCES 



Bryson, A. E. , Jr. and Ho, Hu-Chi, Applied Optimal Control 

 Theory , Blaisdell Publishing Co. , 1969. 



Johnson, J. )A^ . , "Generalized wave refraction diagrams , " Proc. 

 Second Conf. Coastal Eng. , Berkeley, Calif. , 1952. 



Johnson, J. W, , "Generalized wave diffraction diagrams , " Proc. 

 Second Conf. Coastal Eng. , Berkeley, Callif. , the 

 Engineering Foundation on Wave Research, pp. 6-23, 1952. 



Murray, S. P. , "Slnnulatlon of horizontal turbulent diffusion of 



particles under waves," Coastal Engineering Proceedings 

 of Eleventh Conference, London, England, Vol. 1, pp. 446- 

 466, Sept. 1968. 



Penny, W. G. and Price, A. T. , "The diffraction theory of sea 

 waves by breakwaters and the shelter afforded by break- 

 waters," Phil. Trans. Roy. Soc. (London) Sec, A, 244, 

 pp. 236-53, March 1952. 



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