Waves generated by a moving source in a two-layer ocean of finite depth

Journal of Engineering Mathematics

Volumn 35, Issue 1-2, 1999, Pages 85-107

  Yeung, R W ^a   Nguyen, T C ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NAVAL SURFACE WARFARE CENTER   (United States)

Author keywords

Asymptotics; Froude number; Gravity waves; Green's function; Internal waves; Shallow water effects; Stratified flow; Wave patterns

Indexed keywords

ASYMPTOTIC STABILITY; DENSITY (SPECIFIC GRAVITY); FLOW OF FLUIDS; FLUID MECHANICS; GRAVITY WAVES; GREEN'S FUNCTION; INTEGRATION; SURFACE WAVES; VELOCITY;

FAR-FIELD ASYMPTOTIC BEHAVIOR; FROUDE NUMBER; INTERNAL WAVES; METHOD OF STATIONARY PHASE; SHALLOW WATER EFFECTS; STRATIFIED FLOW; VELOCITY POTENTIALS; WAVE PATTERNS;

WATER WAVES;

MATHEMATICAL METHOD; OCEAN; STABILITY; WAVE;

EID: 0032807345     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1004399917692     Document Type: Article

References (24)

1. V. W. Ekman, On dead water. Norwegian North Polar Expedition, 1893-1896, Scientific Results 5 (1904) 1-150.
2. T. Miloh and M. P. Tulin, A theory of dead water phenomena. Proc. 17th Symp. Naval Hydrodyn., The Hague (1988) 127-142.
3. T. Miloh, M. P. Tulin and G. Zilman, Dead-water effects of a ship moving in stratified seas. J. Offshore Mech. Arctic Eng. 115 (1993) 105-110.
4. B. A. Hughes, Surface wave wakes and internal wave wakes produced by surface ships. Proc. 16th Symp. Naval Hydrodyn., Berkeley, CA (1986), 1-17.
5. M. P. Tulin and T. Miloh, Ship internal waves in a shallow thermocline: the supersonic case. Proc. 18th Symp. Naval Hydrodyn., Ann Arbor, MI (1991) 567-581.
6. J. B. Keller and W. H. Munk, Internal wave wakes of a body moving in a stratified fluid. Phys. Fluids 13 (1970) 1425-1431.
7. C. S. Yih and S. Zhu, Patterns of ship waves. Q. Appl. Math. 47 (1989) 17-33.
8. M. P. Tulin, P. Wang and Y. Yao, Numerical prediction of ship generated internal waves in a stratified ocean at supercritical Froude numbers. Proc. 6th Int. Conf. Num. Ship Hydrodyn. Iowa City (1993) 519-539.
9. H. L. Wong and S. M. Çauşal, Numerical algorithms for slender bodies with vortex shedding and density stratification. J. Ship Res. 40 (1996) 11-21.
10. R. W. Yeung and S. H. Kim, A new development in the theory of oscillating and translating slender ships. Proc. 15th Symp. Naval Hydrodyn. Hamburg, W. Germany (1984) 195-212.
11. A. A. Hudimac, Ship waves in a stratified ocean. J. Fluid Mech. 11 (1961) 229-243.
12. G. D. Crapper, Ship waves in a stratified ocean. J. Fluid Mech. 29 (1967) 667-672.
13. L. N. Sretenskii, On the wave resistance of ships in the presence of internal waves. Izv. Akad. Nauk C. C. C. R., Otdelenie Tekhnicheskikh 1 (1959) 56-63.
14. P.N. Uspenskii, On the wave resistance of a ship in the presence of internal waves under conditions of finite depth. Akad. Nauk USSR Tr. Morskogo Gidrophizicheskogo Instituta 18 (1959) 68-84.
15. T. Sabunçu, The theoretical wave resistance of a ship travelling under interfacial wave conditions. Trondheim: Norwegian Ship Model Exp. Tank (1961) 124 pp.
16. J. H. Michell, Wave resistance of a ship. Phil. Mag. 5, 45 (1898) 106-123.
17. H. Lamb, Hydrodynamics. New York: Dover Publication Inc. (1932) 738 pp.
18. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products. Orlando: Academic Press (1980) 1160 pp.
19. H. L. Pond, The theoretical pressure signature of bodies represented by source distributions. Maryland: DTMB Rep. No. C-743 (1957) 38 pp.
20. E. T. Copson, Asymptotic Expansions. Cambridge: Cambridge U. Press (1967) 119 pp.
21. J. V. Wehausen and E. V. Laitone, Surface waves. Handbuch der Physik 9 (1960) 446-778.
22. Y. K. Chung and J. S. Lim, A review of the Kelvin ship wave pattern. J. Ship Res. 35 (1991) 191-197.
23. S. D. Conte and C. Boor, Elementary Numerical Analysis. New York: McGraw-Hill (1980).
24. T. Nguyen and R. W. Yeung, Steady-wave sytems in a two-layer fluid of finite depth. Proc. 12th Int. Workshop Water Waves and Floating Bodies. Marseilles, France (1997) 115-119.