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Radiation and diffraction of water waves by an infinite horizontal structure with a sidewall using SBFEM

机译:使用SBFEM的具有侧壁的无限水平结构对水波的辐射和衍射

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摘要

A novel semi-analytical and semi-numerical method, the scaled boundary finite element method (SBFEM), is applied to solve radiation and diffraction of waves by an infinite horizontal structure in shallow water with a sidewall. The boundary-value problem is solved by using SBFEM and domain decomposition technique. The nonhomogeneous scaled boundary finite element equation is solved by seeking the special solution and general solution. Only the boundary is spatially discretized with curved surface finite elements, resulting in a reduction of the spatial dimension by one. The solution in the radial direction is analytical, whilst the solution in the circumferential is numerical. The method is verified by comparing the computational results with the analytical results and numerical results of boundary element method. Satisfactory results are obtained with a small number of surface elements, which demonstrates the high efficiency of the method.
机译:一种新颖的半解析半数值方法,即比例边界有限元法(SBFEM),被用于解决带有侧壁的浅水中无限水平结构波的辐射和衍射问题。利用SBFEM和域分解技术解决了边值问题。通过寻求特殊解和一般解来求解非齐次标度边界有限元方程。仅边界通过曲面有限元在空间上离散,从而使空间尺寸减小一倍。径向的解是解析的,而圆周的解是数值的。通过将计算结果与边界元方法的分析结果和数值结果进行比较,验证了该方法的有效性。使用少量的表面元素可获得令人满意的结果,这证明了该方法的高效率。

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