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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Adaptive dual boundary element method for solving oblique incident wave passing a submerged breakwater
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Adaptive dual boundary element method for solving oblique incident wave passing a submerged breakwater

机译：求解斜入射波通过水下防波堤的自适应双边界元方法

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摘要

In this paper, an adaptive mesh scheme in boundary element computations for solving the propagation of oblique incident wave passing a breakwater is developed. The purpose is to demonstrate cost savings engendered through adaptivity. The computation is performed on meshes of constant boundary elements, and are adapted to the solution by locally changing element sizes (h-version). Two error indicators obtained from the dual integral equations are used as local error norm, which are essential ingredients for all adaptive mesh schemes in boundary element method (BEM). The evaluation of two local error norms is the norm between the obtained boundary condition and the given boundary condition. The two error tracking curves are in good agreement with their shapes. Two examples show that the adaptive mesh based on the error indicators converge to the solution more efficiently using the same number of elements than does uniform mesh discretization for each segment of the boundary. To check the validity of the present formulation, the transmission and reflection coefficients are determined by using the developed dual BEM program, and are compared well with those of experiment and analytical solution using the eigenfunction expansion method.
机译：本文提出了一种边界网格计算中的自适应网格方案，以解决斜波入射通过防波堤的传播问题。目的是演示通过适应性节省的成本。该计算是在恒定边界元素的网格上执行的，并且通过局部更改元素大小（h版本）使其适用于解决方案。从对偶积分方程中获得的两个误差指标用作局部误差范数，它们是边界元方法（BEM）中所有自适应网格方案的基本要素。对两个局部误差范数的评估是在获得的边界条件和给定的边界条件之间的范数。两条误差跟踪曲线与它们的形状非常吻合。两个示例表明，与针对边界的每个分段的均匀网格离散化相比，使用相同数量的元素，基于错误指示符的自适应网格可以更有效地收敛到解决方案。为了检验本配方的有效性，使用开发的双重BEM程序确定了透射系数和反射系数，并使用特征函数展开法将其与实验和解析解进行了比较。

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