Surface waves of large amplitude beneath an elastic sheet. Part 1. High-order series solution

Journal of Fluid Mechanics

Volumn 169, Issue , 1986, Pages 409-428

  Forbes, Lawrence K ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000942622     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112086000708     Document Type: Article

References (20)

1. Cokelet, E. D. 1977 Steep gravity waves in water of arbitrary uniform depth. Phil. Trans. R. Soc. Lond. A 286, 183–230.
2. Domb, C. & Sykes, M. F. 1957 On the susceptibility of a ferromagnetic above the Curie point. Proc. R. Soc. Lond. A 240, 214-228.
3. Donnell, L. H. 1976 Beams, Plates and Shells. McGraw-Hill.
4. Evans, D. V. & Davies, T. V. 1968 Wave-ice interaction. Davidson Laboratory Report 1313, Stevens Institute of Technology, Hoboken, New Jersey.
5. Hogan, S. J. 1980 Some effects of surface tension on steep water waves. Part 2. J. Fluid Mech. 96, 417–445.
6. Hogan, S. J. 1981 Some effects of surface tension on steep water waves. Part 3. J. Fluid Mech. 110, 381–410.
7. Longuet-Higgins, M. S. 1975 Integral properties of periodic gravity waves of finite amplitude. Proc. R. Soc. Lond. A 342, 157–174.
8. Muller, A. & Ettema, R. 1984a Dynamic response of an ice breaker hull to ice breaking. Iowa Institute of Hydraulic Research Report IIHR273, The University of Iowa, Iowa City.
9. Muller, A. & Ettema, R. 1984b Dynamic response of an icebreaker hull to ice breaking. In Proc. IAHR Ice Symp., Hamburg, vol. 11, pp. 287–296.
10. Schwartz, L. W. 1974 Computer extension and analytic continuation of Stokes expansion for gravity waves. J. Fluid Mech. 62, 553–578.
11. Schwartz, L. W. & Fenton, J. D. 1982 Strongly nonlinear waves. Ann. Rev. Fluid Mech. 14, 39–60.
12. Schwartz, L. W. & Vanden Broeck, J.-M. 1979 Numerical solution of the exact equations for capillary-gravity waves. J. Fluid Mech. 95, 119–139.
13. Shanks, D. 1955 non linear transformation of divergent and slowly convergent sequences. J. Maths & Phys. 34, 1–42.
14. Squire, V. A. 1984 On the critical angle for ocean waves entering shore fast ice. Cold Reg. Sci. Tech. 10, 59–68.
15. Stoker, J. J. 1957 Water Waves. Wiley-Interscience.
16. Stokes, G. G. 1849 On the theory of oscillatory waves. Trans. Camb. Phil. Soc. 8, 441–455.
17. Stokes, G. G. 1880 In Mathematical and Physical Papers, vol. 1. Cambridge University Press.
18. Tuck, E. O. 1982 An inviscid theory for sliding flexible sheets. J. Austral. Math. Soc. B 23, 403-415.
19. Wilton, J. R. 1915 On ripples. Phil. Mag. 29, 688–700.
20. Wynn, P. 1966 On the convergence and stability of the epsilon algorithm. SIAM J. Numer. Anal. 3, 91–121.