Narzędzia help

Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
first previous
cannonical link button

http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-BAT8-0008-0004

Czasopismo

Archives of Hydro-Engineering and Environmental Mechanics

Tytuł artykułu

On the Transformation of Long Gravitational Waves in a Region of Variable Water Depth: a Comparison of Theory and Experiment

Autorzy Szmidt, K. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
Abstrakty
EN The paper describes investigations on transformation of long gravitational waves in water of variable depth with reflection of the waves from a shelf barrier. In the model considered, a long water wave arrives from an area of constant water depth to an area of constant, smaller water depth, where it reflects at a vertical wall. The analysis is confined to a finite fluid domain, relevant to experimental investigations in a laboratory flume. In theoretical analysis of the phenomenon, we follow a non-linear shallow water approximation to the problem considered. The fundamental equations of fluid motion are derived with the help of a standard variational procedure in a material system of coordinates. The equations proved to be a reasonable approximation to a description of the long waves propagating in fluid with small variation of its depth. In the discussed case of reflection of such waves from a vertical barrier, however, the motion of the fluid is more complicated and therefore the long water wave theory does not deliver as good results as in the case of pure propagation of the waves. The primary objective of this paper is thus to compare the theoretical solution proposed with data obtained in experiments, and to answer the question about accuracy and applicability of the theoretical model in the description of the problem investigated.
Słowa kluczowe
EN shallow water   nonlinear waves   non-uniform water depth  
Wydawca Institute of Hydro-Engineering, Polish Academy of Sciences
Czasopismo Archives of Hydro-Engineering and Environmental Mechanics
Rocznik 2007
Tom Vol. 54, nr 2
Strony 137--158
Opis fizyczny Bibliogr. 18 poz., il.
Twórcy
autor Szmidt, K.
  • Institute of Hydro-Engineering, Polish Academy of Sciences, ul. Waryńskiego 17, 71-310 Szczecin, Poland, jks@ibwpan.gda.pl
Bibliografia
1. Bathe K. J. (1982) Finite Element Procedures in Engineering Analysis, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
2. Carrier G. F. and Greenspan H. P. (1958) Water waves of finite amplitude on a sloping beach, J. Fluid Mechanics, 4, 97–109.
3. Chybicki W. (2006) Surface Wave Propagation over Uneven Bottom, IBW PAN Publishing House, Gdansk (in Polish).
4. Dingemans M. W. (1997) Water Wave Propagation over Uneven Bottoms, World Scientific, Singapore, New York
5. Goto C. (1979) Non-linear equation of long waves in the Lagrangian description, Coastal Engineering in Japan, 22, 1–7.
6. Madsen P. A. and Sch¨affer H. A. (1999) A review of Boussinesq – type equations for surface gravity waves, in: Advances in Coastal and Ocean Engineering, 5, ed. Liu Ph. L. F., World Scientific, Singapore, London, 1–93.
7. Mei Ch. C. (1983) The Applied Dynamics of Ocean Surface Waves, J. Wiley & Sons, New York.
8. Shuto N. (1967) Run-up of long waves on a sloping beach, Coastal Engineering in Japan, 10, 23–38.
9. Stoker J. J. (1948) The formation of breakers and bores, Comm. Pure and Applied. Math., 1, 1–87.
10. Stoker J. J. (1957) Water Waves, Inter-Science, New York.
11. Szmidt K. (2006) Modelling of non-linear water waves on a sloping beach, Bull. Polish Academy of Sciences, 54, (4), 381–389.
12. Ursell F. (1953) The long – wave paradox in the theory of gravity waves, Proc. Cambridge Phil. Soc., 49, 685–694.
13. Wehausen J. V. and Laitone E. V. (1960) Surface Waves in: Encyclopaedia of Physics, ed. by Flugge S., Vol. IX, Fluid Dynamics III, Springer Verlag, Berlin.
14. Whitham G. B. (1974) Linear and Non-Linear Waves, J. Wiley & Sons, New York.
15. Whitham G. B. (1979) Lecture of Wave Propagation, Tata Institute of Fundamental Research, Bombay, Springer Verlag, Berlin, Heidelberg, New York.
16. Wilde P. (1999) Long water waves in Lagrange’s description and variational formulation, Internal report IBW PAN, Gdansk.
17. Wilde P. and Chybicki W. (2004) Long water waves as a structure fluid interaction problem, Archives of Hydro-Engineering and Environmental Mechanics, 51, (2), 95–118.
18. Wilde P. and Wilde M. (2001) On the generation of water waves in a flume, Archives of Hydro-Engineering and Environmental Mechanics, 48, (4), 69–83.
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-BAT8-0008-0004
Identyfikatory