Numerical Simulation of Bragg Reflection Based on Linear Waves Propagation over A Series of Rectangular Seabed |
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Authors: | Chih-Chung WEN Li-Hung TSAI |
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Institution: | [1]Department of Environmental Engineering, Hungkuang University, Taichung 433, China [2]Center of Harbor and Marine Technology, Institute of Transportation, Ministry of Transportation and Communications, Wuchi, Taichung 435, China |
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Abstract: | A numerical model, Evolution Equation of Mild-Slope Equation (EEMSE) developed by Hsu et al. (2003), was applied to study the Bragg reflection of water waves over a series of rectangular seabed. Three key parameters of the Bragg reflection including the peak coefficient of primary Bragg reflection, its corresponding relative wavelength, and the bandwidth, have shown to be effective in describing the characteristics of the primary Bragg reflection. The characteristics of the Bragg reflection were investigated under the various conditions comprising number, height, and spacing interval of a series of rectangular seabed. The results reveal that the peak of Bragg reflection increases with the increase of rectangular seabed height and number, the bandwidth and the shift value of the Bragg reflection depend on the increase of the rectangular seabed height as well as the decrease of rectangular seabed number, and the relative rectangular seabed spacing in the rang of 3 and 4 could produce higher Bragg reflection. Finally, a correlative and regressive analysis is performed by use of the calculated data. Based on the results of the analysis, empirical equations were established. Our study results can provide an appropriate choice of a series of rectangular seabed field for a practical design. |
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Keywords: | Bragg reflection mild-slope equation rectangular seabed bandwidth of the Bragg reflection rapidly varying component |
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