Large-amplitude steady rotational water waves

European Journal of Mechanics, B/Fluids

Volumn 27, Issue 2, 2008, Pages 96-109

  Ko, Joy ^a   Strauss, Walter ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

Extreme waves; Rotational water waves; Stagnation; Vorticity

Indexed keywords

CONTINUUM DAMAGE MECHANICS; NUMERICAL METHODS; PERIODIC STRUCTURES; PROBLEM SOLVING; TWO DIMENSIONAL; VORTICITY;

EXTREME WAVES; MATHEMATICAL FORMULATIONS; ROTATIONAL WATER WAVES; STAGNATION;

WATER WAVES;

EID: 38849197027     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2007.04.004     Document Type: Article

References (17)

1. Simmen J.A., and Saffman P.G. Steady deep-water waves on a linear shear current. Stud. Appl. Math. 73 1 (1985) 35-57
2. Teles da Silva A.F., and Peregrine D.H. Steep, steady surface waves on water of finite depth with constant vorticity. J. Fluid Mech. 195 (1988) 281-302
3. Vanden-Broeck J.-M. Steep solitary waves in water of finite depth with constant vorticity. J. Fluid Mech. 274 (1994) 339-348
4. Vanden-Broeck J.-M. New families of steep solitary waves in water of finite depth with constant vorticity. Eur. J. Mech. B Fluids 14 6 (1995) 761-774
5. Okamoto H., and Shōji M. The Mathematical Theory of Permanent Progressive Water-Waves. Advanced Series in Nonlinear Dynamics vol. 20 (2001), World Scientific Publishing Co. Inc., River Edge, NJ
6. Miroshnikov V.A. The Boussinesq-Rayleigh approximation for rotational solitary waves on shallow water with uniform vorticity. J. Fluid Mech. 456 (2002) 1-32
7. Dalrymple R.A. A numerical model for periodic finite amplitude waves on a rotational fluid. J. Comput. Phys. 24 1 (1977) 29-42
8. Dubreil-Jacotin M.-L. Sur la détermination rigoureuse des ondes permanentes périodiques d'ampleur finie. J. Math. Pures Appl. 13 (1934) 217-291
9. Thomas G.P. Wavecurrent interactions: an experimental and numerical study. Part 2. Nonlinear waves. J. Fluid Mech. 216 (1990) 505-536
10. Brooke Benjamin T. The solitary wave on a stream with an arbitrary distribution of vorticity. J. Fluid Mech. 12 (1962) 97-116
11. Swan C., Cummins I.P., and James R.L. An experimental study of two-dimensional surface water waves propagating on depth-varying currents. Part 1. Regular waves. J. Fluid Mech. 428 (2001) 273-304
12. Constantin A., and Strauss W. Exact steady periodic water waves with vorticity. Comm. Pure Appl. Math. 57 4 (2004) 481-527
13. Constantin A., and Escher J. Symmetry of steady deep-water waves with vorticity. Eur. J. Appl. Math. 15 6 (2004) 755-768
14. V.M. Hur, Symmetry of steady periodic surface water waves with vorticity, Philos. Trans. Roy. Soc. (2007), in press
15. A. Constantin, W. Strauss, Rotational steady water waves near stagnation, Philos. Trans. Roy. Soc. (2007), in press
16. Toland J.F. On the existence of a wave of greatest height and Stokes's conjecture. Proc. Roy. Soc. London Ser. A 363 1715 (1978) 469-485
17. Toland J.F. Stokes waves. Topol. Methods Nonlinear Anal. 7 1 (1996) 1-48