—The theme of this article is to apply a three-dimensional fully-nonlinear hydrodynamic model to simulate a solitary wave passing through a gap into a canal of expanded cross-section with a raised channel bottom. When a solitary wave impacts on an infinitely long breakwater with a gap width L1
, part of the wave energy is reflected by the breakwater and part is transmitted through the gap. Here the domain with incident and reflected waves is called Region I and that with transmitted waves in a channel of width L2
) is Region II. As the bottom of Region II has an upward step, the wave is transitioned to propagate from a deep water region (normalized depth=1) into a shallow water region (depth= D
). The transmitted waves are subject to be diffracted and reflected by the confined boundaries. These diffraction and reflection effects are governed by D
and L 2
. For L 2
= L 1
, it is
similar to the case for a solitary wave climbing upon a step to generate soliton fission phenomenon. The results show that the condition of D
>0 can enhance the nonlinearity of waves while L 2
allows the transmitted waves to expand with reduced wave height. It is noticed that part of the transmitted outward-propagating waves are r
eflected back from the wall boundaries to interact with longitudinal traveling waves forming a wave front oscillating transversely with nonuniform wave height across the channel.
—Solitary wave, fully-nonlinear wave, three-dimensional wave, diffraction, tsunami.
C. H. Chang is with the Department of Information Management, Ling-Tung University, Taichung, Taiwan (e-mail: changbox@ teamail.ltu.edu.tw).
K. H. Wang is with the Department of Civil and Environmental Engineering, University of Houston, Houston, TX, USA (e-mail: KHWang@uh.edu).
Cite:Chih-Hua Chang and Keh-Han Wang, "A Solitary Wave Propagates through a Gap into a Channel with an Upward Step," International Journal of Environmental Science and Development vol. 5, no. 5, pp. 467-472, 2014.