| 含强水流高阶Boussinesq水波方程 |
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| 引用本文： | 邹志利. 含强水流高阶Boussinesq水波方程[J]. 海洋学报, 2000, 22(4): 41-50 |
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| 作者姓名： | 邹志利 |
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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, 大连116024 |
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| 基金项目： | 国家自然科学基金资助项目(编号：59679005)和重点资助项目(编号：59839330). |
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| 摘 要： | 采用摄动法并利用已建立的纯波情况下高阶Boussinesq方程,建立了可以考虑强水流与波浪相互作用的高阶Boussinesq方程.水流速度与波浪群速具有相同量级,且随时间和空间的变化尺度远大于波浪周期和波长.方程色散性近似到[4/4]阶Pade展开,对浅水情况方程可以是完全非线性的,可适用于波流相互作用的强非线性问题.通过将水流存在时波长和波幅的结果与一阶斯托克斯波结果对比,讨论了具有不同近似程度的3种含波流相互作用的Boussinesq方程的适用性.
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| 关 键 词： | 波浪 水流 波流相互作用 |
| 收稿时间： | 1998-07-27 |
| 修稿时间： | 1998-07-27 |
Higher-order Boussinesq equations with strong currents |
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| Zou Zhili. Higher-order Boussinesq equations with strong currents[J]. Acta Oceanologica Sinica (in Chinese), 2000, 22(4): 41-50 |
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| Authors: | Zou Zhili |
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| Affiliation: | State Key Laboratory of Coasstal and off shore Engineering, Delian University of Technology, Delian 116024 |
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| Abstract: | The higherorder Boussinesq equations for the case of strong current are developed by a perturbation method under the assumption that the current velocity is of the sarne mwitude as the wave group vefority, and its time and space scales of variation are much greater than the wave period and length respectively. The frequency dispersion of the equations is accurate to [4/4] Pade's expanson and the equations are applicable to fully nonlinear case of wave and current interactions for very shallow water. The discussion is also made for the validations of the Boussinesq equations with different frequency dispersion. |
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| Keywords: | Water wave current wave-current interactions |
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