室内声场无网格数值算法性能影响因素分析  

Analysis of influencing factors on the performance of the meshless method for the numerical calculation of sound fields in enclosures

作　　者：王海涛[1] 曾向阳[1] 陈玲[2] 

机构地区：[1]西北工业大学环境工程系,西安710072 [2]上海飞机设计研究院,上海200232

出　　处：《应用声学》2011年第6期435-442,共8页Journal of Applied Acoustics

基　　金：航空科学基金;教育部新世纪优秀人才支持计划基金;西北工业大学基础研究基金

摘　　要：基于室内无网格数值算法的理论和实验研究,本文进一步利用控制变量法,结合计算效率对影响计算精度的因素进行了全面分析,包括节点、高斯点的分布方式及其密度,以及构造无网格形函数过程中的基函数类型、权函数类型,并通过对一类基准问题的大量数据实验获得了适用于小尺度封闭空间的最佳支持域半径范围。基于有关结论对一个实际机舱进行了建模分析,将声压级计算值与测量值对比,验证了这些结论的正确性。Based on the theoretical and experimental studies of the meshless method for sound field in enclosures, this paper discusses the influencing factors on performance of the method, including the arranges and densities of the nodes and Gauss points, the types of basis and weight functions. The suitable radius of the support domain for the calculation of sound fields in small enclosures is obtained through numerical tests to a basic numerical example. The meshless method with suitable parameters is used to calculate the sound field of an airplane cabin. Comparison of the calculated sound pressure level with the measured results has validated these conclusions.

关 键 词：无网格法 小尺度封闭空间 声场计算 精度影响因素 支持域半径 

分 类 号：O241.6[理学—计算数学]