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An iterative procedure for the diffraction of water waves by multiple cylinders

机译:多圆柱水波衍射的迭代过程

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摘要

Diffraction of water waves by an array of vertical cylinders of circular cross section is studied. In order to account for first order interaction among the cylinders, the body boundary condition is satisfied for each cylinder considering the scattered wave field from other cylinders in an iterative way. After each iteration, coefficients in the partial wave decomposition of the wave potential are modified. Convergence is fast for the whole range of frequencies and for a large number of bodies, compared with exact algebraic methods of Linton and Evans [J. Fluid Mech. 46 (1990) 549] and Kagemoto and Yue [J. Fluid Mech. 166 (1) (1986) 189].
机译:研究了圆形横截面的垂直圆柱体对水波的衍射。为了考虑圆柱体之间的一阶相互作用,考虑到来自其他圆柱体的散射波场,以迭代方式为每个圆柱体满足体边界条件。每次迭代之后,波势的部分波分解中的系数都会被修改。与Linton和Evans的精确代数方法相比,在整个频率范围和大量物体上,收敛速度很快。流体机械。 46(1990)549]和影本和悦[J.流体机械。 166(1)(1986)189]。

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