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REPORT DOCUMENTATION PAGE 



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N READ INSTRUCTIONS 

 BEFORE COMPLETING FORM 



1. REPORT NUMBER 



DTNSRDC-81/095 



2. GOVT ACCESSION NO 



EClPVENT'S catalog number 



4. TITLE (and Subtitle) 



A RAY THEORY FOR NONLINEAR SHIP 

 WAVES AND WAVE RESISTANCE 



5. "TYPE Of REPORT 4 PERIOD COVERED 



Final 



6. PERFORMING ORG. REPORT NUMBER 



7. AUTHORfsJ 



Bohyun Yim 



8. CONTRACT OR GRANT NUMBERfs; 



9. PERFORMING ORGANIZATION NAME AND ADDRESS 



David W. Taylor Naval Ship Research 

 and Development Center 

 Bethesda, Maryland 20084 



Task Area RR0140302 

 Work Unit 1552-018 



II. CONTROLLING OFFICE NAME AND ADDRESS 



12. REPORT DATE 



December 1981 



13. NUMBER OF PAGES 



23 



14. MONITORING AGENCY NAME fi ADDUESS(lf different tram Controlling Office) 



15. SECURITY CLASS, (of this report) 



UNCLASSIFIED 



16. DISTRIBUTION STATEMENT (of this Report) 



APPROVED FOR PUBLIC RELEASE: DISTRIBUTION UNLIMITED 



17. DISTRIBUTION STATEMENT (of the abstract entered In Block 20, If different from Report) 



18. SUPPLEMENTARY NOTES 



19. KEY WORDS (Continue on reverse aide t 



Ray 



Wave Number 



Caustic 



Free Surface Shock Waves 



assary and Identify by block number) 



Ship Waves 

 Wave Phase 

 Second Caustic 

 Nonlinear Ship Waves 



Wave Reflection 

 Wave Resistance 

 Bulbous Bow 



20. ABSTRACT (Continue on reverse aide It necessary and Identity by b/ocfc number) 



Analytical and numerical methods for application of ray theory in 

 computing ship waves are investigated. The potentially important role of 

 ray theory in analyses of nonlinear waves and wave resistance is demon- 

 strated. The reflection of ship waves from the hull boundary is analyzed 

 here for the first time. 



(Continued on reverse side) 



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EDITION OF 1 NOV 65 IS OBSOLETE 



5/N 0102-LF-014-6601 



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