On nonlinear transient free-surface flows over a bottom obstruction

Physics of Fluids

Volumn 9, Issue 9, 1997, Pages 2598-2604

  Zhu, Songping ^a   Zhang, Yinglong ^a  

^a UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FREE SURFACE FLOWS; TOPOGRAPHY; WAVES;

BOTTOM TOPOGRAPHY EFFECTS; FLOW MODELLING; TRANSIENT FREE-SURFACE FLOWS;

EID: 0030776095     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869376     Document Type: Article

References (23)

1. L. K. Forbes and L. W. Schwartz, "Free-surface flow over a semicircular obstruction," J. Fluid Mech. 114, 299 (1982).
2. A. C. King and M. I. G. Bloor, "Free-surface flow of a stream obstructed by an arbitrary bed topography," Q. J. Mech. Appl. Math. 43, 87 (1990).
3. Y.-L. Zhang and S.-P. Zhu, "Open channel flow past a bottom obstruction," J. Eng. Math, 30, 487 (1996).
4. H. J. Haussling and R. M. Coleman, "Nonlinear water waves generated by an accelerated circular cylinder," J. Fluid Mech. 92, 767 (1982).
5. G. R. Baker, D. I. Meiron, and S. A. Orzag, "Generalized vortex methods for free-surface flow problems," J. Fluid Mech. 123, 477 (1982).
6. W. Craig and C. Sulem, "Numerical simulation of gravity waves," J. Comput. Phys. 108, 73 (1993).
7. M. Greenhow, "A complex variable method for the floating-body boundary-value problem," J. Comput. Appl. Math. 46, 115 (1993).
8. M. A. Grosenbaugh and R. W. Yeung, "Nonlinear free-surface flows at a two-dimensional bow," J. Fluid Mech. 209, 57 (1989).
9. W. M. Lin, J. N. Newmann, and D. K. P. Yue, "Nonlinear forced motions of floating bodies," in Proceedings of the 15th Symposium on Naval Hydrodynamics Hamburg (National Academy, Washington D.C., 1984), pp. 33-49.
10. T. R. Akylas, "On the excitation of long nonlinear water waves by a moving pressure distribution," J. Fluid Mech. 141, 455 (1982).
11. S. L. Cole, "Transient waves produced by flow past a bump," Wave Motion 7, 579 (1985).
12. T. Y. Wu, "Generation of upstream-advancing solitons by moving disturbances," J. Fluid Mech. 184, 75 (1987).
13. S. S. Shen, "Locally forced critical surface waves in channel of arbitrary cross section," ZAMP 42, 122 (1991).
14. M. S. Longuet-Higgins and E. D. Cokelet, "The deformation of sleep surface waves on water. I. A numerical method of computation," Proc. R. Soc. London, Ser. A 350, 1 (1976).
15. T. Vinje and P. Brevig, "Nonlinear ship motions," in Proceedings of the 3rd International Conference on Numerical Ship Hydrodynamics Paris, (1981), pp. 257-268.
16. J. J. Stoker, Waves (Wiley, New York, 1958).
17. T. B Benjamin, "Upstream influnce," J. Fluid Mech. 40, 49 (1970).
18. J. V. Wehausen and E. V. Laitone., "Surface wave," in Handbuch der Physik (Springer, Berlin, 1960), Vol. 9, pp. 446-778.
19. J.-M. Vanden-Broeck, "Free-surface flow over an obstruction in a channel," Phys. Fluids 30, 2315 (1987).
20. M. S. Languet-Higgins, "On the mass, momentum, energy and circulation of a solitary wave, Part II," Proc. R. Soc. London, Ser. A 340, 471 (1974).
21. A. F. T. da Silva and D. H. Peregrine, " Wave-breaking due to moving submerged obstacles," in IUTAM Beraking Waves, Sydney (Springer, Berlin, 1991), pp. 333-340.
22. S. M. Sun and M. C. Shen, "Exact theory of secondary supercritical solution for steady surface waves over a bump," Physica D 67, 301 (1993).
23. C. M. Casciola and M. Landrini, "Nonlinear long waves generated by a moving pressure disturbance," J. Fluid Mech. 325, 399 (1996).