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On the transformation of long gravity waves on a sloping beach

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The transformation of long water waves arriving at a sloping beach is investigated. An approximate theory is presented for plane periodic waves propagating in water of non-uniform depth. The theoretical description of the phenomenon, based on certain kinematic assumptions, is formulated in the material variables, and the solution is constructed by applying the Hamilton variational principle. In order to assess the accuracy of the formulation and to learn more about long wave transformation, experimental measurements were carried out in a laboratory flume. In the experiments, a water wave, generated by a piston-type wave maker placed at one end of the flume, propagated towards a rigid inclined ramp installed at the other end of the flume. The wave transformation along the direction of its propagation was recorded by a set of wave gauges installed along the flume. The wave run-up on the sloping beach was measured with a special conductivity gauge placed alongside the ramp. Comparison of the theoretical results with experimental data indicates that the proposed theoretical formulation provides a good description of the main features of wave transformation behaviour over a sloping beach, except in the vicinity of the shore point, where some discrepancies occur.
Słowa kluczowe
Czasopismo
Rocznik
Strony
363--389
Opis fizyczny
Bibliogr. 17 poz., wykr.
Twórcy
autor
  • Institute of Hydro-Engineering, Polish Academy of Sciences, Waryńskiego 17, PL-71-310 Szczecin, Poland
Bibliografia
  • 1.Bathe K. J., 1982, Finite element procedure in engineering analysis, Prentice-Hall, Upper Saddle River, New Jersey, 1037 pp.
  • 2.Bjőrk A., Dahlquist G., 1983, Numerical methods, PWN, Warszawa, 548 pp., (in Polish).
  • 3.Carrier G. F., Greenspan H.P., 1958, Water waves of finite amplitude on a sloping beach, J. Fluid Mech., 4 (01), 97-109.
  • 4.Chybicki W., 2006, Theory of surface waves in water of non-uniform depth, Wyd. IBW-PAN, Gdańsk, 244 pp., (in Polish).
  • 5.Dingemans M.W., 1997, Water wave propagation over uneven bottoms, Part 1 - Linear wave propagation, World Sci., Singapore-New York, 1061 pp.
  • 6.Goto C., 1979, Non-linear equation of long waves in the Lagrangian description, Coast. Eng. Japan, 22, 1-9.
  • 7.Kânoğlu U., 2004, Nonlinear evolution and runup-rundown of long waves over a sloping beach, J. Fluid Mech., 513, 363-372.
  • 8.Madsen O. S., 1971, On the generation of long waves, J. Geophys. Res., 76 (36), 8672-8683.
  • 9.Massel S.R., 1982, On the non-linear theory of paddle generated waves in laboratory channels, Arch. Hydro-Eng., 39 (3), 183-208, (in Polish).
  • 10.Massel S.R., Pelinovsky E.N., 2001, Run-up of dispersive and breaking waves, Oceanologia, 43 (1), 61-97.
  • 11.Miles J., Salmon R., 1985, Weakly dispersive nonlinear gravity waves, J. Fluid Mech., 157, 519-531.
  • 12.Pelinovsky E.N., 1991, Long waves climbing a beach, Hydrotech. Trans., 54, 81-86.
  • 13.Shuto N., 1967, Run-up of long waves on a sloping beach, Coast. Eng. Japan, 10, 23-37.
  • 14.Synolakis C.E., 1987, The run-up of solitary waves, J. Fluid Mech., 185, 523-545.
  • 15.Szmidt K., 2006, Modelling of non-linear long water waves on a sloping beach, Bull. Polish Acad. Sci., Tech. Sci., 54 (4), 381-389.
  • 16.Wilde P., Chybicki W., 2004, Long water waves as a structure - fluid interaction problem, Arch. Hydro-Eng. Environ. Mech., 51 (2), 95-118.
  • 17.Wilde P., Wilde M., 2001, On the generation of water waves in a flume, Arch. Hydro-Eng. Environ. Mech., 48 (4), 69-83.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0003-0012
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