Water wave radiation by a sphere submerged in water with an ice-cover
Water wave radiation by a sphere submerged in water with an ice-cover
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DOI：
10.1007/s00419-007-0186-1
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发表时间：
2008-08
影响因子：
2.8
通讯作者：
D. Das;B. N. Mandal
中科院分区：
文献类型：
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作者：
D. Das;B. N. Mandal
使用多极子方法，我们制定的辐射问题（包括升沉和摇摆）的水波由一个淹没的球在深以及在均匀的有限深的水与冰盖，与冰盖被模拟为一个非常小的厚度的弹性板。在每一种情况下，这导致了一个无限的线性方程组，这些方程组通过标准技术数值求解。附加的质量和阻尼系数的起伏和摇摆的球，并描绘了图形对波数的淹没球的半径和弯曲刚度的冰盖的各种值，以显示这些量的冰盖的存在下的效果。当弯曲刚度取为零时，恢复了有自由表面水体的附加质量和阻尼系数的数值结果。
Using the multipoles method, we formulate the problems of radiation (both heave and sway) of water waves by a submerged sphere in deep as well as in uniform finite depth water with an ice-cover, with the ice-cover being modelled as an elastic plate of very small thickness. In each case this leads to an infinite system of linear equations which are solved numerically by standard techniques. The added-mass and damping coefficients for a heaving and swaying sphere are obtained and depicted graphically against the wave number for various values of the radius of the submerged sphere and flexural rigidity of the ice-cover to show the effect of the presence of ice-cover on these quantities. When the flexural rigidity is taken to be zero, the numerical results for the added-mass and damping coefficient for water with a free surface are recovered.