论文标题
使用无限元素对声学散射的等几何分析
Isogeometric Analysis of Acoustic Scattering using Infinite Elements
论文作者
论文摘要
事实证明，等几何分析（IGA）是对几个领域（包括结构力学和流体动力学）的经典有限元方法（FEM）的改进。在本文中，研究了IgA的性能以及对于某些声学散射问题的无限元素方法（IEM）。特别是，刚性球体的声学散射的简单问题，以及弹性球形壳在内部和外部具有流体结构域的声波散射，代表了完整的声学结构相互作用（ASI）问题。最后，研究了模拟外壳和简化的潜艇基准。数值示例包括IGA与FEM之间的比较。我们的主要发现是，与$ c^0 $ fem的使用相比，IgA的使用显着提高了准确性，这由于样条基基函数的元素间连续性增加。
Isogeometric analysis (IGA) has proven to be an improvement on the classical finite element method (FEM) in several fields, including structural mechanics and fluid dynamics. In this paper, the performance of IGA coupled with the infinite element method (IEM) for some acoustic scattering problems is investigated. In particular, the simple problem of acoustic scattering by a rigid sphere, and the scattering of acoustic waves by an elastic spherical shell with fluid domains both inside and outside, representing a full acoustic-structure interaction (ASI) problem. Finally, a mock shell and a simplified submarine benchmark are investigated. The numerical examples include comparisons between IGA and the FEM. Our main finding is that the usage of IGA significantly increases the accuracy compared to the usage of $C^0$ FEM due to increased inter-element continuity of the spline basis functions.
