论文标题
海底声散射的等几何边界元素方法
Isogeometric boundary element method for acoustic scattering by a submarine
论文作者
论文摘要
用边界元素方法（Igabem）的同几何分析最近引起了兴趣。在本文中，将研究Igabem在3D声学散射问题上的近似性，并将作为基准示例提出新的改进的BETSSI潜艇。盖尔金和搭配都与多个边界积分方程（BIE）相结合。除了传统的bie外，还将考虑使用此bie的正规化版本。此外，还考虑了超细胞的bie和burton-miller配方。提出了一个新的自适应集成程序，并且数值示例显示了边界元素方法中集成过程的重要性。数值示例还包括标准BEM和Igabem之间的比较，这再次验证了从样条基函数的元素间连续性增加获得的较高精度。本文的主要目标之一是基准测试声散射问题，在这方面将经常使用制造解决方案的方法。
Isogeometric analysis with the boundary element method (IGABEM) has recently gained interest. In this paper, the approximability of IGABEM on 3D acoustic scattering problems will be investigated and a new improved BeTSSi submarine will be presented as a benchmark example. Both Galerkin and collocation are considered in combination with several boundary integral equations (BIE). In addition to the conventional BIE, regularized versions of this BIE will be considered. Moreover, the hyper-singular BIE and the Burton--Miller formulation are also considered. A new adaptive integration routine is presented, and the numerical examples show the importance of the integration procedure in the boundary element method. The numerical examples also include comparison between standard BEM and IGABEM, which again verifies the higher accuracy obtained from the increased inter-element continuity of the spline basis functions. One of the main objectives in this paper is benchmarking acoustic scattering problems, and the method of manufactured solution will be used frequently in this regard.
