基于二阶斯托克斯波理论的辐射应力垂向分布

Vertical distribution of radiation stresses based on the second-order Stokes wave theory

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。

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 dis- cussed 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 pro- files 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 the- ory near the water surface. The radiation stresses obtained based on the second-order Stokes can reflect the nonlin- ear influence more reasonable than that of the linear wave theory.