散射波的二阶幅射边界条件及其应用
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摘要: 本文借助于一个线性微分算子序列,对线性波浪绕射问题,推导出了散射波的一阶和二阶幅射边界条件,作为数值算例,在内域采用有限元,在有限距离幅射边界上分别采用一阶和二阶幅射条件及Sommerfeld条件,计算了作用在大尺度圆柱上的波浪荷载,结果表明,当采用二阶幅射条件时,精度得到很大的提高,因此,可以将内域划得很小,从而避免了以往采用Sommerfeld条件时,为获得足够的精度必须增加单元数目而导致计算量很大和占用很多计算机内存的弊病.
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