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Green function of steady forward speed with ice cover
European Journal of Mechanics - B/Fluids ( IF 2.6 ) Pub Date : 2020-04-13 , DOI: 10.1016/j.euromechflu.2020.04.002
Lizhu Hao , Ziying Pan , Baoshan Wu

The Green function representing the potential flow generated by a source with unit strength advancing beneath an ice cover along a straight path at a constant speed is studied in the paper. The ice is modelled as elastic plate. The Green function satisfying the linearized covered-surface condition is derived and expressed in the form of a double Fourier integral with respect to wavenumber k and polar angle θ on the Fourier plane. The computing method of Green function is then proposed, the polar integral is first performed by using the theorem of residues, the resultant wavenumber integral is reformulated by removing the weak singularities and evaluated numerically. The Green function is shown to be suitable for the prediction of ice plate deflection. The given solution is analysed as a function of speed and ice thickness.



中文翻译:

带有冰盖的稳定前进速度的绿色功能

本文研究了Green函数,该函数代表单位强度以恒定速度沿直线路径在冰盖下方前进的源所产生的潜在流量。冰被建模为弹性板。推导满足线性化覆盖表面条件的格林函数,并相对于波数以双傅立叶积分的形式表示ķ 和极角 θ在傅立叶平面上。提出了格林函数的计算方法,首先利用残差定理进行极积分,通过去除弱奇异点重新形成波数积分并进行数值评估。格林函数显示出适合于预测冰盖挠度。给定的解决方案作为速度和冰厚度的函数进行分析。

更新日期:2020-04-13
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