Numerical investigation of influence of wave directionality on the water resonance at a narrow gap between two rectangular barges
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摘要: 应用二阶非线性三维势流时域模型模拟两个并靠矩形驳船间的窄缝内流体共振现象。模型中,速度势分解为入射势和未知的散射势,其中散射势通过求解边界积分方程计算得到。采用四阶预报校正的方法对自由水面边界条件在时间上进行数值积分。本文研究了波浪方向对窄缝内一阶、二阶波高的影响。计算结果表明,入射波浪的角度不会影响窄缝内流体的共振频率,同时窄缝内流体发生共振时,最大的共振波高总是发生在窄缝中点处。然而,共振时对应的最大波高随着入射角度的变化而变化。同时,入射波浪的频率与窄缝内流体共振频率的相对大小导致窄缝内最大波高位置向上游或者下游移动。Abstract: A three-dimensional time-domain potential flow model with second-order nonlinearity was applied to simulate the wave resonance in a gap between two side-by-side rectangular barges. In the model, the velocity potential was decomposed into the incident potential and unknown scattered potential which was obtained by solving the boundary integral equation. The fourth-order predict-correct method was applied to enforce the free surface conditions in the time integration. The influence of the wave direction on the first and second-order gap surface elevations was investigated. The results reveal that the incident wave angle does not affect the resonant wave frequency and the maximum surface elevation at resonance always occurs at the middle location along the gap. However, the corresponding maximum wave surface elevation at resonance varies with the incident wave angle. The location of the maximum wave elevation shifts either upstream or downstream along the gap, depending on the relative magnitude of incident wave frequency to the resonant frequency.
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