基于细分曲面边界元法的声学分析
Acoustic Analysis Based on Isogeometric Boundary Element Method with Subdivision Surfaces

DOI: 10.12677/OJAV.2019.74020, PP. 175-182

Keywords: 细分曲面，边界元法，声散射
Subdivision Surfaces, Boundary Element Method, Acoustic Scattering

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Abstract:

细分曲面核心思想是通过对初始多边形网格进行重复细化，并得到光滑极限曲面。Catmull-Clark细分曲面是基于双三次B样条发展起来的，适用于对任意四边形网格进行细分和拟合操作。将细分曲面与边界元法结合起来，在数值分析中几何与物理都采用样条插值，保证了分析模型的几何精确性，同时也使物理插值的精度有所提高。本文通过联合基于Catmull-Clark的细分曲面法和声学边界元法，建立极限光滑球形模型，并用此模型分析在平面波入射时球模型表面的声散射响应，以证明CCBEM (Catmull-Clark边界元法)方法的正确性。
The core idea of subdivision surfaces is to repeatedly refine the initial polygon mesh and obtain smooth limit surfaces. The Catmull-Clark subdivision surface is developed based on the bicubic B-spline and is suitable for subdivision and fitting operations on arbitrary quadrilateral meshes. Combining the subdivision surface with the boundary element method, spline interpolation is applied to both geometry and physics in numerical analysis, which ensures the geometric accuracy of the analysis model and improves the accuracy of physical interpolation. In this paper, a Cat-mull-Clark based on subdivision surface method and a Catmull-Clark based on acoustic boundary element method are used to establish an extremely smooth spherical model, and the model is used to analyze the acoustic scattering response when plane waves are incident to prove the accuracy of the CCBEM method.

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