浮冰在Stokes波作用下运动响应研究

Study on motion response of ice floe under Stokes wave

基于斜滑理论、水波理论和耐波性理论,提出了可以快速预报小块浮冰在波浪作用下三自由度运动响应的计算方法;基于STAR-CCM+软件,采用VOF造波功能,建立三维Stokes波浪水槽,研究单块浮冰与Stokes波浪相互作用.计算结果与试验结果基本符合,验证了本文计算结果的有效性.基于此,研究了不同参数下浮冰运动响应幅值算子,包含波长、波高和冰厚等,并获得不同参数的影响规律.结果表明:正方形薄冰三个自由度的响应幅值算子曲线均随着相对波长的增加而逐渐趋近于1,而立方体浮冰的垂荡运动响应幅值算子曲线在相对波长接近8~9时发生了共振现象;浮冰的纵向漂移速度明显受到波高影响,与波高呈平方关系.

Based on the slope sliding theory,water wave theory and seakeeping theory,a method that could quickly predict the 3-degree-of-freedom(3DOF)motion response of small ice floe under wave action was presented.Based on STAR-CCM+software and volume of fluid(VOF)wave-making function,a three-dimensional Stokes wave tank was established to study the interaction between a small ice floe and Stokes wave.The calculated results were generally in agreement with the experimental results,verifying the validity of the calculated results.On this basis,response amplitude operator(RAO)of the ice floe was studied under different parameters,including wavelength,wave height and ice thickness,and the influence law of different parameters was obtained.Results show that along with the increase of relative wave length,all the 3DOF RAO curves of a square thin ice approach to 1,while the heave RAO curve of a cubic ice resonates when relative wave length is around between 8 and 9.The longitudinal drift velocity of the ice is obviously affected by wave height with a quadratic relationship.