Resonance of long waves around a circular island and its relation to edge waves

2021 ◽  
Vol 86 ◽  
pp. 15-24
Author(s):  
Xiaojing Niu
Keyword(s):  
Long Waves ◽  
Edge Waves ◽  
Circular Island

Scattering of long waves around a circular island mounted on a conical shoal

Wave Motion ◽  
1996 ◽  
Vol 23 (4) ◽  
pp. 353-362 ◽  
Author(s):  
Songping Zhu ◽  
Yinglong Zhang
Keyword(s):  
Long Waves ◽  
Circular Island

The generation of surface waves over a sloping beach by an oscillating line source

1976 ◽  
Vol 79 (3) ◽  
pp. 573-585 ◽  
Author(s):  
Clare A. N. Morris
Keyword(s):  
Free Surface ◽  
Surface Waves ◽  
Line Source ◽  
Short Wave ◽  
Long Waves ◽  
Edge Waves ◽  
Wave Regime ◽  
Wave Solutions ◽  
Sloping Beach

AbstractA line source whose strength varies sinusoidally with time and also with the co-ordinate measured along its length is situated parallel to the shoreline of a beach of angle ¼π0. Both long-and short-wave solutions are found. It is shown that for certain positions of the source, long waves are not radiated to infinity, while in the short-wave regime, the solutions take the form of edge-waves, with resonances occurring at certain wavenumbers. Computations of the free-surface contours are presented for a range of wavenumbers.

scholarly journals An Extended Analytic Solution of Combined Refraction and Diffraction of Long Waves Propagating over Circular Island

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Yu-Shu Kuo ◽  
Tai-Wen Hsu ◽  
Chia-Cheng Tsai ◽  
Yu-Hsuan Huang
Keyword(s):  
Wave Scattering ◽  
Analytic Solution ◽  
Complex Variables ◽  
Long Waves ◽  
Wave Refraction ◽  
Long Wave ◽  
Present Solution ◽  
Circular Island ◽  
Frobenius Series ◽  
Independent Parameters

An analytic solution of long waves scattering by a cylindrical island mounted on a permeable circular shoal was obtained by solving the linear long wave equation (LWE). The solution is in terms of the Bessel function expressed by complex variables. The present solution is suitable for arbitrary bottom configurations described by a power function with two independent parameters. For the case of the paraboloidal shoal, there exists a singular point (α=2) which can be removed using Frobenius series, whereαis a real constant. The present solution is reduced to Yu and Zhang’s (2003) solution for impermeable circular shoal. The numerical results show some special features of the combined effect of wave refraction and diffraction caused by a porous circular island. The effect of key parameters of the island dimension, the shoal slope, and permeability on wave scattering was discussed based on the analytic solution.

Analytical solutions for long waves over a circular island

2010 ◽  
Vol 57 (4) ◽  
pp. 440-446 ◽  
Author(s):  
Tae-Hwa Jung ◽  
Changhoon Lee ◽  
Yong-Sik Cho
Keyword(s):  
Analytical Solutions ◽  
Long Waves ◽  
Circular Island

Peculiarities of Modern Dynamics of the Global Economy

2010 ◽  
pp. 78-92 ◽  
Author(s):  
V. Klinov
Keyword(s):  
Economic Growth ◽  
Economic Development ◽  
Business Cycles ◽  
Global Economy ◽  
Long Waves ◽  
Rapid Expansion ◽  
Business Taxation ◽  
Modern World ◽  
China And India ◽  
World Economic

Rates and factors of modern world economic growth and the consequences of rapid expansion of the economies of China and India are analyzed in the article. Modification of business cycles and long waves of economic development are evaluated. The need of reforming business taxation is demonstrated.

Nonlinear long waves on water and solitons

1995 ◽  
Vol 165 (12) ◽  
pp. 1403 ◽  
Author(s):  
R.Kh. Zeytounian
Keyword(s):  
Long Waves
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