模拟畸形波的聚焦波浪模型
Focusing models for generating freak waves
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摘要: 利用改进的高阶谱方法建立了模拟极限波的二维聚焦模型,通过与Baldock(1996)的实验结果和理论值的比较,验证了模型的正确性,并分析了波浪非线性的相互作用对聚焦结果的影响. 通过改进Longuet-Higgins海浪模型,给出了4种实验室聚焦模拟畸形波的波浪模型:极限波聚焦模型+随机波模型;极限波聚焦模型+规则波模型;相位角分布范围调制聚焦模型;相同相位角组成波个数调制聚焦模型. 基于上述完全非线性数值波浪模型,采用不同的能量分配方式,在有限模拟长度和时间内得到了具有不同$H_{\max}/H_{s}$值的畸形波.Abstract: A 2-D extreme wave focusing model is presented onthe basis of enhanced high-order spectral (HOS) numerical method,validated with the experimental and theoretical results, and applied toinvestgate the effect of wave-wave nonlinear interaction on the wavefocusing amplitude. Based on improved Longuet-Higgins wave model, four wavefocusing models for freak wave generation are proposed: 1.extreme wave modelwith random wave model; 2. extreme wave model with regular wave model; 3.wave focusing model from phase-interval modulation; 4. wave focusing modelfrom wave number modulation with the same phase. With the application ofdifferent energy distribution techniques in the four wave focusing models,freak wave with differentvalues of $H_{\max}/H_{s}$ are obtained in thefinite space and time domains.
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Keywords:
- high-order spectral method /
- freak wave /
- focused waves /
- Longuet-Hinggins model /
- phase modulation
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