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Water Wave Scattering by a Bottom-Standing Thick Rectangular Barrier in the Presence of an Ice Cover
Journal of Applied Mechanics and Technical Physics ( IF 0.6 ) Pub Date : 2020-05-01 , DOI: 10.1134/s0021894420030116
S. Ray , S. De , B. N. Mandal

The problem of scattering of a normally incident surface wave train by an obstacle in the form of a thick rectangular vertical bottom-standing barrier submerged in finite-depth water with a free surface is extended here with an ice cover modelled as a thin uniform elastic plate. The problem is reduced to a set of singular integral equations of the first kind. The Galerkin approximation in terms of simple polynomials multiplied by appropriate weight functions whose form is dictated by the behavior of the fluid velocity near the barrier edges is used for solving the integral equations. The reflection and transmission coefficients are obtained numerically, and they are depicted graphically against the wavenumber for various ice cover parameters. It is observed that the barrier thickness plays a significant role in modelling of efficient breakwaters.

中文翻译:

在冰盖存在的情况下,底立厚矩形屏障的水波散射

法向入射表面波列被障碍物散射的问题,该障碍物是淹没在具有自由表面的有限深度水中的厚矩形垂直底立障碍物,这里扩展了冰盖模型为薄均匀弹性板. 问题简化为一组第一类奇异积分方程。用简单多项式乘以适当的权重函数的伽辽金近似,其形式由屏障边缘附近的流体速度的行为决定,用于求解积分方程。反射系数和透射系数以数字方式获得,并以图形方式描述了各种冰盖参数的波数。据观察,屏障厚度在有效防波堤的建模中起着重要作用。
更新日期:2020-05-01
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