| 风浪相互作用的Stokes模型 |
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| 引用本文： | 徐亚洲,李杰. 风浪相互作用的Stokes模型[J]. 水科学进展, 2009, 20(2): 281-286 |
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| 作者姓名： | 徐亚洲 李杰 |
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| 作者单位： | 同济大学土木工程学院,上海,200092;同济大学土木工程学院,上海,200092 |
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| 基金项目： | 国家自然科学基金,国家科技支撑计划,上海市科学技术委员会登山行动计划 |
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| 摘 要： | 结合非线性Stokes波和平行流线性稳定理论推导出了高阶无粘Orr-Sommerfeld方程及相应的波面压力和能量传递计算公式。针对二阶模型,引入拟非线性能量传递系数以考虑非线性能量,并建立了总能量的统一表达式。采用数值方法求解含有奇点的一阶无粘Orr-Sommerfeld方程,获得了考虑水深影响时的能量传递系数。结果表明,Stokes波各阶分量对应着相同的临界层高度,高阶无粘Orr-Sommerfeld方程可通过坐标变换统一求解。水深变浅将降低小量纲一波速c/U1时的风浪能量传递系数。
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| 关 键 词： | 风浪相互作用 Stokes波 Orr-Sommerfeld方程 平行流失稳 风浪能量传递 |
| 收稿时间： | 2008-05-06 |
Stokes model for wind-wave interaction |
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| XU Ya-zhou,LI Jie. Stokes model for wind-wave interaction[J]. Advances in Water Science, 2009, 20(2): 281-286 |
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| Authors: | XU Ya-zhou LI Jie |
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| Affiliation: | School of Civil Engineering, Tongji University, Shanghai 200092, China |
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| Abstract: | Combined with the nonlinear Stokes wave and the parallel flow instability theory,the high-order inviscid Orr-mmerfeld equations,the formulas of pressure over wave surface and the energy transfer are derived.Furthermore,for the secondorder model,the quasi-nonlinear energy transfer coefficient,a new parameter,is introduced to take nonlinear energy into consideration,and the uniform expression of total energy is established.The energy transfer coefficients considering water depth are obtained from the numerical solutions to the first-order Orr-Somerfeld equation with a singular point.The findings are that,through coordinate transformations,the high-order inviscid Orr-mmerfeld equations can be solved simultaneously.For small values of dimensionless wave speed c/U1,the energy transfer coefficients considering the influence of water depth are less than those with infinite water depth. |
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