Finite Difference Analysis of Surface Wave Scattering by Underwater Rectangular Obstacles

• Autorzy: Szmidt K.
• Języki publikacji: EN

Abstrakty

EN

This paper deals with the problem of the scattering of surface water waves by underwater obstacles. The main goal of the investigations is to estimate the efficiency of such structures in protecting sea shelf zones from open sea waves. A useful measure of the protection is the ratio of the square of the amplitude of the transmitted wave to the square of the amplitude of the arriving wave. The problem is formulated in terms of the finite difference method. It is shown that the discrete approach to the problem leads to eigenvalue problems for two matrices resulting from the discrete description. As compared to analytical formulation, the discrete method may be convenient in application to unsteady problems and obstacles of complicated geometry.

Słowa kluczowe

EN

water wave; scattering of waves; finite difference method

• Wydawca: Institute of Hydro-Engineering of Polish Academy of Sciences
• Czasopismo: Archives of Hydro-Engineering and Environmental Mechanics
• Rocznik: 2010
• Tom: Vol. 57, nr 3-4
• Strony: 179--198
• Opis fizyczny: Bibliogr. 5 poz., il

Twórcy

autor

Szmidt K.

• Institute of Hydro-Engineering, Polish Academy of Sciences, Kościerska 7, 80-328 Gdańsk, Poland,

Bibliografia

• 1. Bathe K. J. (1982) Finite Element Procedures in Engineering Analysis, Prentice Hall Inc., New Jersey.
• 2. Bodewig E. (1959) Matrix Calculus, North Holland Publishing Comp., Amsterdam.
• 3. Mandal B. N., Chakrabarti A. (2000) Water Wave Scattering by Barriers, WIT Press, Southampton.
• 4. Mei Ch. C., Black J. L. (1969) Scattering of surface waves by rectangular obstacles in waters of finite depth, J. Fluid Mech., 38, 499–511.
• 5. Wilde P., Wilde M. (2001) On the Generation of Water Waves in a Flume, Archives of Hydro-Engineering and Environmental Mechanics, 48 (4), 69–83.