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TECHNICAL PAPERS

Limiting Forms of Internal Solitary Waves

[+] Author and Article Information
Janna L. Maltseva

Lavrentyev Institute of Hydrodynamics, 630090, Novosibirsk, Russiae-mail: maltseva@hydro.nsc.ru

J. Offshore Mech. Arct. Eng 125(1), 76-79 (Feb 28, 2003) (4 pages) doi:10.1115/1.1537730 History: Received March 01, 2002; Revised September 01, 2002; Online February 28, 2003
Copyright © 2003 by ASME
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References

Benney,  D. J., and Ko,  D. R. S., 1978, “The Propagation of Long Large Amplitude Internal Waves,” Stud. Appl. Math., 59(3), pp. 187–199.
Amick,  C. J., and Turner,  R. E. L., 1986, “A Global Theory of Internal Solitary Waves in Two-Fluid Systems,” Trans. Am. Math. Soc., 298(2), pp. 431–484.
Derzho,  O. G., and Grimshaw,  R., 1997, “Solitary Waves with a Vortex Core in a Shallow Layer of Stratified Fluid,” Phys. Fluids, 9(11), pp. 3378–3385.
Benjamin,  T. B., 1971, “A Unified Theory of Conjugate Flows,” Philos. Trans. R. Soc. London, Ser. A, 269, pp. 587–643.
Makarenko,  N. I., 1999, “Conjugate Flows and Smooth Bores in a Weakly Stratified Fluid,” J. Appl. Mech. Tech. Phys., 40(2), pp. 249–257.
Maltseva, J. L., 2000, “Flat Solitary Waves in a Two-Layer Fluid,” Proc. 5th International Symposium on Stratified Flows, G. Lawrence et al., eds., University of British Columbia, Vancouver, Canada, pp. 803–808.
Lamb,  K. G., and Wan,  B., 1998, “Conjugate Flows and Flat Solitary Waves for a Continuously Stratified Fluid,” Phys. Fluids, 26, pp. 2061–2079.
Bukreev,  V. I., and Gusev,  A. V., 1998, “Forced Smooth Bore in a Continuously Stratified Fluid,” Dokl. Ross. Akad. Nauk, 363(3), pp. 327–329.
Grue,  J., Jensen,  A., Rusås,  P.-O., and Sveen,  J. K., 2000, “Breaking and Broadening of Internal Solitary Waves,” J. Fluid Mech., 413, pp. 181–217.

Figures

Grahic Jump Location
The spectrum of linearized problem
Grahic Jump Location
The streamlines for ρ0=y(8y2−33.0822y+34.7464)/9,b=−0.5,b0=−0.51
Grahic Jump Location
The streamlines for ρ0=y(8y2−33.0822y+34.7464)/9,b=0.5,b0=0.51
Grahic Jump Location
The dependence λ1 by the amplitude parameter b
Grahic Jump Location
The streamlines for solitary waves with additional elevation in the middle region; b0=−1/3,b1=−19/20,b*=−0.596402
Grahic Jump Location
The density profile and fine structure of stratification; σ=1/20

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