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Seamless integration of computer-aided geometric modeling and acoustic simulation: Isogeometric boundary element methods based on Catmull-Clark subdivision surfaces
Advances in Engineering Software ( IF 4.0 ) Pub Date : 2020-07-21 , DOI: 10.1016/j.advengsoft.2020.102879
L.L. Chen , Y. Zhang , H. Lian , E. Atroshchenko , C. Ding , S.P.A. Bordas

Isogeometric boundary element method is a computer simulation algorithm that can directly utilize the data of a geometric model represented by its surface. Catmull-Clark subdivision surfaces are a widely used technique in 3D computer graphics to construct complicated geometries. In the present work, we combine Catmull-Clark subdivision surfaces with isogeometric boundary element method to simulate acoustic propagation in semi-infinite domains. The present method can produce fast and high fidelity results, due to its strength of seamless integration of computer-aided geometric modeling and numerical simulation. The feasibility of the method is demonstrated by several acoustic scattering problems, including the one with analytical solutions and the examples with complicated geometries.



中文翻译:

计算机辅助几何建模和声学模拟的无缝集成:基于Catmull-Clark细分曲面的等几何边界元方法

等几何边界元方法是一种计算机模拟算法,可以直接利用由其表面表示的几何模型的数据。在3D计算机图形学中,Catmull-Clark细分曲面是一种用于构造复杂几何图形的广泛使用的技术。在目前的工作中,我们将Catmull-Clark细分曲面与等几何边界元方法结合起来,以模拟半无限域中的声传播。由于本方法可以无缝集成计算机辅助几何建模和数值模拟,因此可以产生快速且高保真的结果。通过几个声散射问题证明了该方法的可行性,其中包括一个具有解析解的问题和多个具有复杂几何形状的示例。

更新日期:2020-07-21
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