#TITLE_ALTERNATIVE#
Here we study the effect of a submerged sinusoidal bar in reducing the amplitude of an incident monochromatic wave towards the shore. A system of partial differential equations for amplitude of the right and left going waves are found after applying multiple-scale asymptotic expansion to the Linear...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/7992 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Here we study the effect of a submerged sinusoidal bar in reducing the amplitude of an incident monochromatic wave towards the shore. A system of partial differential equations for amplitude of the right and left going waves are found after applying multiple-scale asymptotic expansion to the Linear Shallow Water Equation then we discreet the equations using finite difference methods. Analytical study yields that when incident wavelength is twice as sinusoidal bar wavelength then Bragg resonance occurs. This Bragg resonance mechanism can reduce the amplitude of an incoming monochromatic wave significantly only with a relatively small amplitude of sinusoidal bar, numerical simulation confirm this. A qualitative comparison between numerical and analytical results shows good agreement. However, the result could be different if there is a reflecting wave on the right of the sinusoidal bar. It turns out that the phase difference between the right going wave and the left going reflected wave plays an important role. We shows that when the phase difference is zero then the right and the left going waves are interacting constructively and yield a wave with amplitude much bigger than the amplitude of incident wave. |
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