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Applicability of the method of fundamental solutions to interaction of fully nonlinear water waves with a semi-infinite floating ice plate

机译:完全非线性水波与半无限浮冰板相互作用的基本解法的适用性

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摘要

In this research effort, a meshless numerical model was developed to study the hydroelastic interaction of an incident wave with a semi-infinite horizontal floating plate. It is assumed that the fluid is homogenous, inviscid and incompressible. Fundamental solution of the governing Laplace equation is considered to be radial basis functions. In this method, only a few boundary points are located on the boundary. Moreover, there are a few source points that are located outside the computational domain. Two additional source points are introduced to deal with the plate's edge conditions. The problem is solved using collocations at only a few boundary points. When density and thickness of the plate are reduced to zero, good agreements with other numerical works are observed.
机译:在这项研究工作中,开发了无网格数值模型来研究入射波与半无限水平浮板的水弹相互作用。假定流体是均匀,不粘且不可压缩的。控制拉普拉斯方程的基本解被认为是径向基函数。在这种方法中,边界上只有几个边界点。此外,有一些源点位于计算域之外。引入了两个额外的源点来处理印版的边缘条件。使用仅在几个边界点处的搭配解决了该问题。当板的密度和厚度减小到零时,观察到与其他数值研究的良好一致性。

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