| 高阶谱数值方法及其应用 |
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| 引用本文： | 赵西增,孙昭晨,梁书秀.高阶谱数值方法及其应用[J].船舶力学,2008,12(5). |
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| 作者姓名： | 赵西增 孙昭晨 梁书秀 |
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| 作者单位： | 大连理工大学海岸和近海工程国家重点实验室,辽宁大连,116023;大连理工大学海岸和近海工程国家重点实验室,辽宁大连,116023;大连理工大学海岸和近海工程国家重点实验室,辽宁大连,116023 |
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| 摘 要： | 高阶谱方法是一种快速模拟波浪运动的有效方法,它基于小波陡对速度势展开,通过快速Fourier变换解决了自由面波动问题.文中基于高阶谱方法,建立了模拟波浪运动的数值模型,通过与Stokes波理论值比较,验证了方法的合理性;并应用于波浪的色散聚集和Stokes波不稳定性研究,通过与其它结论的比较,验证了结果的正确性.
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| 关 键 词： | 高阶谱方法 快速Fourier变换 非线性波 Stokes不稳定性 色散聚焦 |
A high order spectral method and its application to nonlinear water waves |
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| ZHAO Xi-zeng,SUN Zhao-chen,LIANG Shu-xiu.A high order spectral method and its application to nonlinear water waves[J].Journal of Ship Mechanics,2008,12(5). |
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| Authors: | ZHAO Xi-zeng SUN Zhao-chen LIANG Shu-xiu |
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| Abstract: | High order spectral method is an efficient technique in water wave computation,which is based on potential superposition of component waves and FFT algorithm.The numerical scheme is applied to a number of wave and wave train configuration including longwave-shortwave dispersive focusing and the instability of Stokes wave with finite slope.The results are consistent with those obtained in other studies. |
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| Keywords: | high order spectral method fast-Fourier transform nonlinear wave Stokes instability dispersive focusing |
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