| 张运秋,张宁川,裴玉国.畸形波数值模拟的一个有效模型[J].,2008,(3):406-410 |
| 畸形波数值模拟的一个有效模型 |
| An efficient model for numerical simulation of freak waves |
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| DOI：10.7511/dllgxb200803018 |
| 中文关键词: 畸形波 四阶非线性薛定谔方程 伪谱方法 数值模型 边带不稳定性 |
| 英文关键词: freak wave four-order nonlinear Schr dinger equation pseudo-spectral method numerical model sideband instability |
| 基金项目:教育部科技重点资助项目(104061). |
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| 中文摘要: |
| 基于控制深水复波包演化的修正的四阶非线性薛定谔方程和离散时间步长的伪谱方法，建立了畸形波生成的数值模型，模拟了边带扰动初始条件下满足边带不稳定性条件时波列的演化，统计了演化过程中生成的畸形波，并对该过程中谱成分能量的变化进行了分析．结果表明，采用该模型可以有效地模拟畸形波的生成，边带不稳定性是畸形波生成的一个可能原因，而且多对不稳定边带的相互作用增加了畸形波生成的概率． |
| 英文摘要: |
| A numerical wave model is developed to simulate freak wave generation, which is based on the modified four-order nonlinear Schr dinger equation governing the slow variation of complex envelope in deep water and a standard split-step, pseudo-spectral method. The evolution of wave trains with a pair of initial sideband disturbance is carried out when sideband instability is satisfied, freak wave occurrence is estimated, and variation of complex envelope spectral components is also discussed in this process. Results show that this model can be used to simulate freak wave formation efficiently, sideband instability is its possible mechanism, and the interaction of multiple pairs of instable sidebands increases its generation probability. |
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