APPLICATION OF SOLITON SOLUTION TO TRIANGULE-SHAPE WATER SURFACE WAVE SEQUENCE WITH SPARSELY DISTRIBUTED STRIP ROUGHNESS IN SHALLOW WATER

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  • 浅水状態の粗配置桟粗度上で生じる三角状水面波列に対するソリトン解の適用

Abstract

<p> Triangular-shaped surface waves occur with large amplitude in a river during a flood. The large amplitude surface waves are concerned to cause damage to river structures. Higashikawa et al. (2019) found that the train of triangular-shaped surface waves occurs due to soliton resonance. They assumed that the propagation direction of the soliton resonance inclines to the flow direction when the modified Miles' solution is applied. In this study, we aim to derive theoretical solutions by modifying the hypothesis. As a result, our new solutions agree with the laboratory experiment results better than Higashikawa et al. (2019). Furthermore, we confirmed that triangular-shaped surface waves occur due to soliton resonance.</p>

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