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基于二阶斯托克斯波理论的辐射应力垂向分布
吴相忠1, 张庆河1
天津大学 建筑工程学院暨港口与海洋工程教育部重点实验室
摘要:
基于二阶斯托克斯波理论推导了辐射应力的垂向分布表达式, 通过算例讨论了辐射应力在深水和有限水深条件下的垂向分布规律, 并与基于微幅波理论的辐射应力进行了比较。结果表明, 在波浪非线性不强时, 基于二阶斯托克斯波理论的辐射应力与基于微幅波理论的辐射应力表达式计算结果接近; 而当水深较浅波浪非线性较强时, 基于二阶斯托克斯波理论的辐射应力在近表面处明显大于基于微幅波理论的辐射应力。采用二阶斯托克斯波理论推导的波浪辐射应力更为合理地反映了波浪非线性效应。
关键词:  二阶斯托克斯波  辐射应力  垂向分布
DOI:
分类号:
基金项目:国家自然科学基金项目(50279029)
Vertical distribution of radiation stresses based on the second-order Stokes wave theory
Abstract:
The expressions for vertical distributions of radiation stresses were derived based on the second-order Stokes waves theory. The vertical variation of radiation stresses in deep water and intermediate water were discussed and the vertical profiles of radiation stresses obtained basing on the second-order Stokes waves and linear wave theory were compared. The results showed that when the nonlinear influence was not strong, the vertical profiles of radiation stresses were almost same between the second-order Stokes waves and the linear wave theory. While when the water depth is relatively shallow and the nonlinear influence is quite strong, the vertical profiles of radiation stresses based on the second-order Stokes waves is significantly stronger than that of the linear wave theory near the water surface. The radiation stresses obtained based on the second-order Stokes can reflect the nonlinear influence more reasonable than that of the linear wave theory.
Key words:  the second-order Stokes waves  radiation stress  vertical distribution
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