周期结构声散射系数的无网格数值计算方法

计算物理 ›› 2013, Vol. 30 ›› Issue (2): 229-236.

周期结构声散射系数的无网格数值计算方法

王海涛, 曾向阳

西北工业大学航海学院, 西安 710072

收稿日期:2012-05-08 修回日期:2012-09-27 出版日期:2013-03-25 发布日期:2013-03-25
作者简介:王海涛(1986-),男,博士生,从事室内声场建模计算研究,E-mail:footballman@126.com
基金资助:
航空科学基金(20091553018);西北工业大学博士论文创新基金(cx201222)资助项目

Meshless Models for Numerical Calculation of Scattering Coefficients of Periodic Structures

WANG Haitao, ZENG Xiangyang

College of Marine, Northwestern Polytechnical University, Xi'an 710072, China

Received:2012-05-08 Revised:2012-09-27 Online:2013-03-25 Published:2013-03-25

摘要/Abstract

摘要： 将无网格思想引入周期结构声散射系数的数值计算,提出两种无网格数值计算模型:边界无网格模型(Boundary Meshless Model,BMM)及无网格平面波分解模型(Meshless Plane Wave Decomposition Model,MPDM),两种模型均可对任意形状周期结构的声散射系数进行计算,其中BMM适用于尺寸有限大的周期结构,而MPDM适用于尺寸无限大的周期结构.详细介绍两种无网格数值计算模型的推导过程,利用两种模型对正弦型周期结构的散射系数进行计算,并与测量实验结果进行对比分析,结果显示两种模型都具有良好的准确性,但BMM相比于MPDM误差更小.最后对两种模型的特点和适用性进行分析.

关键词: 周期结构, 声散射系数, 无网格法

Abstract: Details for implementation of a Boundary Meshless Model (BMM) and a Meshless Plane Wave Decomposition Model (MPWD) calculating scattering coefficients of periodic structures with arbitrary shaped profiels are provided. BMM based on Mommertz's determination is applicable for finite samples. In contrast, numerical calculation is performed in a groove of one period in MPWD, which is applicable for samples with infinite surfaces. Random-incidence scattering coefficients of a sine-shaped sample and corresponding infinite sample are calculated using BMM and MPWD. Comparisons with measurements demonstrate that both models have good accuracy. Directional distributions of directional scattering coefficients are similar. At last, performances of the two models are discussed.

Key words: periodic structure, scattering coefficient, meshless method

中图分类号:

TU112

王海涛, 曾向阳. 周期结构声散射系数的无网格数值计算方法[J]. 计算物理, 2013, 30(2): 229-236.

WANG Haitao, ZENG Xiangyang. Meshless Models for Numerical Calculation of Scattering Coefficients of Periodic Structures[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 30(2): 229-236.

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