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Wave propagation in a fully nonlinear numerical wave tank: A desingularized method

机译：完全非线性数值波箱中的波传播：一种去奇化方法

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摘要

The problem of wave propagation in a fully nonlinear numerical wave tank is studied using desingularized boundary integral equation method coupled with mixed Eulerian-Lagrangian formulation. The present method is employed to solve the potential flow boundary value problem at each time step. The fourth-order predictor-corrector Adams-Bashforth-Moulton scheme is used for the time-stepping integration of the free surface boundary conditions. A damping layer near the end-wall of wave tank is added to absorb the outgoing waves with as little wave reflection back into the wave tank as possible. The saw-tooth instability is overcome via a five-point Chebyshev smoothing scheme. The model is applied to several wave propagations including solitary, irregular and random incident waves.
机译：利用去混合化的欧拉-拉格朗日公式，用去奇化边界积分方程法研究了在完全非线性数值波箱中的波传播问题。本方法用于解决每个时间步的潜在流边界值问题。四阶预测-校正器Adams-Bashforth-Moulton方案用于自由表面边界条件的时间逐步积分。在波箱端壁附近增加了一个阻尼层，以吸收反射出的波，并尽可能少地将波反射回波箱。通过五点切比雪夫平滑方案可以克服锯齿形不稳定性。该模型适用于多种波传播，包括孤立波，不规则波和随机入射波。

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