Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Some aspects of the French flexible bag wave-energy device

Author: D. C. Shaw
Journal: Quart. Appl. Math. 43 (1985), 337-358
MSC: Primary 76B99
DOI: https://doi.org/10.1090/qam/814232
MathSciNet review: 814232
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: French (1977) has suggested a channel form wave energy absorber in which power is removed from the wave front by flexible bags along the channel walls. He has given a simple theoretical model for such a device which has, however, several drawbacks which we attempt to remedy. Several two-dimensional models of the channel are examined in which one or more of the dimensions are many wavelengths long. In particular, it is possible to apply realistic boundary conditions at the channel walls and obtain relationships between the wall stiffness $ \mu $ and the decay rate of the wave front, $ \sigma $. Two main methods are used; the variational method developed by Evans and Morris (1972) and the Wiener-Hopf method, as modified by Jones (1952).

References [Enhancements On Off] (What's this?)

  • 1. Evans, D. V. & Morris, C. A. N. (1972a), J. Inst. Maths. Applics., 9, 198-204
  • 2. Evans, D. V. & Morris, C. A. N. (1972b), J. Inst. Maths. Applics., 10, 1-9
  • 3. French, M. J. (1977), J. Mech. Engng. Sci., 19, no. 2, 90-92
  • 4. Havelock, T. N. (1929), Phil. Mag., 8, 569-576
  • 5. D. S. Jones, Diffraction by a wave-guide of finite length, Proc. Cambridge Philos. Soc. 48 (1952), 118–134. MR 0046270
  • 6. D. S. Jones, The theory of electromagnetism, International Series of Monographs on Pure and Applied Mathematics, Vol. 47. A Pergamon Press Book, The Macmillan Co., New York, 1964. MR 0161555
  • 7. Horace Lamb, Hydrodynamics, 6th ed., Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1993. With a foreword by R. A. Caflisch [Russel E. Caflisch]. MR 1317348
  • 8. Newman, J. N. (1974), J. Fluid Mech., 66, 97-106
  • 9. B. Noble, Methods based on the Wiener-Hopf technique for the solution of partial differential equations, International Series of Monographs on Pure and Applied Mathematics. Vol. 7, Pergamon Press, New York-London-Paris-Los Angeles, 1958. MR 0102719
  • 10. Salter, S. H. (1974), Nature, 249, 5459
  • 11. Thomas, J. R. (1981), Ph.D. Thesis, Bristol University
  • 12. F. Ursell, The effect of a fixed vertical barrier on surface waves in deep water, Proc. Cambridge Philos. Soc. 43 (1947), 374–382. MR 0021821

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 76B99

Retrieve articles in all journals with MSC: 76B99

Additional Information

DOI: https://doi.org/10.1090/qam/814232
Article copyright: © Copyright 1985 American Mathematical Society

American Mathematical Society