EI、Scopus 收录
中文核心期刊

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

一种模拟大规模高频声场的双层奇异边界法

李珺璞 陈文

李珺璞, 陈文. 一种模拟大规模高频声场的双层奇异边界法[J]. 力学学报, 2018, 50(4): 961-969. doi: 10.6052/0459-1879-18-100
引用本文: 李珺璞, 陈文. 一种模拟大规模高频声场的双层奇异边界法[J]. 力学学报, 2018, 50(4): 961-969. doi: 10.6052/0459-1879-18-100
Li Junpu, Chen Wen. A DUAL-LEVEL SINGULAR BOUNDARY METHOD FOR LARGE-SCALE HIGH FREQUENCY SOUND FIELD ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(4): 961-969. doi: 10.6052/0459-1879-18-100
Citation: Li Junpu, Chen Wen. A DUAL-LEVEL SINGULAR BOUNDARY METHOD FOR LARGE-SCALE HIGH FREQUENCY SOUND FIELD ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(4): 961-969. doi: 10.6052/0459-1879-18-100

一种模拟大规模高频声场的双层奇异边界法

doi: 10.6052/0459-1879-18-100
基金项目: 中央高校基本科研业务费专项资金项目(2018B40714, 2017B709X14), 国家自然科学基金项目(11372097, 11572111), 江苏省研究生科研与实践创新计划项目(KYCX17_0488)和中国国家留学基金项目(201706710107)资助.
详细信息
    作者简介:

    *李珺璞, 博士研究生, 主要研究方向: 计算力学. E-mail: junpu.li@foxmail.com ; *陈文, 教授, 主要研究方向: 计算力学、软物质力学. E-mail:chenwen@hhu.edu.cn

    通讯作者:

    李珺璞

    陈文

  • 中图分类号: O302;

A DUAL-LEVEL SINGULAR BOUNDARY METHOD FOR LARGE-SCALE HIGH FREQUENCY SOUND FIELD ANALYSIS

  • 摘要: 大规模高频声场的数值模拟是一项非常有计算挑战性的课题. 为了解决传统边界型离散方法由于全局支撑的满阵限制, 不易应用于大规模高频声场模拟的计算瓶颈, 本文提出了一种用于模拟大规模高频声场的双层奇异边界法. 在该方法中, 通过引入双层结构, 细网格上的全局支撑的满阵被转化为局部支撑的大规模稀疏矩阵, 传统奇异边界法模拟大规模问题时所面临的高计算量以及过度存储需求遂得以解决. 其次, 双层奇异边界法仅通过粗网格评估远场作用, 且独立于特定的插值核函数. 相较于快速多级方法, 该方法具有更强的适应性和灵活性, 且多层结构使该方法具有一定的预调节作用, 非常适合求解具有大规模、高秩、高条件数特点的高频波矩阵. 在其后的散射球模型算例中, 双层奇异边界法配置10万个节点, 成功模拟了无量纲波数高达160的声散射问题. 在对于人头模型的声散射特性分析中, 双层奇异边界法比COMSOL软件计算速度快了约78.13%. 当配置8万个节点时, 双层奇异边界法成功模拟了频率高达25 kHz 的工况, 该频率已远远超出了人耳的听力极限.

     

  • [1] 刘璟泽, 姜东, 韩晓林等. 曲线加筋Kirchhoff-Mindlin板自由振动分析. 力学学报, 2017, 49(4): 929-939
    [1] (Liu Jingze, Jiang Dong, Han Xiaolin, et al.Free vibration analysis of curvilinearly stiffened Kirchhoff-Mindlin plates.Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(4): 929-939 (in Chinese))
    [2] Wang XM, Liu S, Liu ZP.Underwater sonar image detection: A combination of non-local spatial information and quantum-inspired shuffled frog leaping algorithm.Plos One, 2017, 12(5): 1-30
    [3] Li JP, Chen W.Singular boundary method based on time-dependent fundamental solutions for active noise control.Numerical Methods for Partial Differential Equations, 2018, 34(4): 1401-1421
    [4] 刘硕, 方国东, 王兵等. 近场动力学与有限元方法耦合求解热传导问题. 力学学报, 2018, 50(2): 339-348
    [4] (Liu Shuo, Fang Guodong, Wang Bing, et al.Study of thermal conduction problem Using coupled peridynamics and finite element method.Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 339-348 (in Chinese))
    [5] Zhang JM, Lin WC, Dong YQ, et al.A double-layer interpolation method for implementation of BEM analysis of problems in potential theory.Applied Mathematical Modelling, 2017, 51: 250-269
    [6] Li XL, Li SL.Improved complex variable moving least squares approximation for three-dimensional problems using boundary integral equations.Engineering Analysis with Boundary Elements, 2017, 84: 25-34
    [7] 高效伟, 刘健, 彭海峰. 集成单元边界元法及其在主动冷却热防护系统分析中的应用. 力学学报, 2016, 48(4): 994-1003
    [7] (Gao Xiaowei, Liu Jian, Peng Haifeng.Integrated unit bem and its application in analysis of actively cooling tps.Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(4): 994-1003 (in Chinese))
    [8] Gao XW, Li ZY, Yang Kai, et al.Element differential method and its application in thermal-mechanical problems.International Journal for Numerical Methods in Engineering, 2018, 113(1): 82-108
    [9] Li XL, Li SL.Analysis of the complex moving least squares approximation and the associated element-free Galerkin method.Applied Mathematical Modelling, 2017, 47: 45-62
    [10] Li JP, Chen W.A modified singular boundary method for three-dimensional high frequency acoustic wave problems.Applied Mathematical Modelling, 2018, 54: 189-201
    [11] Li JP, Chen W, Gu Y.Error bounds of singular boundary method for potential problems.Numerical Methods for Partial Differential Equations, 2017, 33(6): 1987-2004
    [12] 杨建军, 郑健龙. 无网格局部强弱法求解不规则域问题. 力学学报, 2017, 49(3): 659-666
    [12] (Yang Jianjun, Zheng Jianlong.Meshless local strong-weak (MLSW) method for irregular domain problems.Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(3): 659-666 (in Chinese))
    [13] Shen L, Liu YJ.An adaptive fast multipole boundary element method for three-dimensional acoustic wave problems based on the Burton-Miller formulation.Computational Mechanics, 2007, 40(3): 461-472
    [14] Li WW, Chen W, Fu ZJ.Precorrected-FFT accelerated singular boundary method for large-scale three-dimensional potential problems.Communications in Computational Physics, 2017, 22(2): 460-472
    [15] Cui TJ, Weng CC, Chen G, et al.Efficient MLFMA, RPFMA, and FAFFA algorithms for EM scattering by very large structures.IEEE Transactions on Antennas & Propagation, 2004, 52(3): 759-770
    [16] Li JP, Chen W, Fu ZJ. A modified dual-level algorithm for large-scale three-dimensional Laplace and Helmholtz equation. Computational Mechanics, 2018, https://doi.org/10.1007/s00466-018-1536-2
    [17] 陈文, 李珺璞, 傅卓佳. 基于时间依赖基本解的奇异边界法模拟二维狄利克雷边界标量波方程. 计算力学学报, 2017, 34(2): 231-237
    [17] (Chen Wen, Li Junpu, Fu ZhuoJia. Singular boundary method based on time-dependent fundamental solution for 2D scalar wave equation.Chinese Journal of Computational Mechanics, 2017, 34(2): 231-237 (in Chinese))
    [18] Fu ZJ, Chen W, Gu Y.Burton-Miller-type singular boundary method for acoustic radiation and scattering.Journal of Sound & Vibration, 2014, 333(16): 3776-3793
    [19] Mccowen A.Efficient 3-D moment-method analysis for reflector antennas using a far-field approximation technique.IEE Proceedings-Microwaves, Antennas and Propagation, 1999, 146(1): 7-12
    [20] Chen JT, Lee YT, Lin YJ.Analysis of mutiple-shepers radiation and scattering problems by using a null-field integral equation approach.Applied Acoustics, 2010, 71(8): 690-700
    [21] Liu L.Single layer regularized meshless method for three dimensional exterior acoustic problem.Engineering Analysis with Boundary Elements, 2017, 77: 138-144
    [22] 谷岩, 陈文. 改进的奇异边界法模拟三维位势问题. 力学学报, 2012, 44(2): 351-360
    [22] (Gu Yan, Chen Wen.Improved singular boundary method for three dimensional potential problems.Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 351-360 (in Chinese))
    [23] Liu L, Zhang H.Single layer regularized meshless method for three dimensional Laplace problem.Engineering Analysis with Boundary Elements, 2016, 71: 164-168
    [24] 王俊鹏, 校金友, 文立华. 大规模边界元模态分析的高效数值方法. 力学学报, 2017, 49(5): 1070-1080
    [24] (Wang Junpeng, Xiao Jinyou, Wen Lihua.An efficient numerical method for large-scale modal analysis using boundary element method.Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(5): 1070-1080 (in Chinese))
    [25] Li JP, Fu ZJ, Chen W.Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method.Computers & Mathematics with Applications, 2016, 71(1): 381-390
  • 加载中
计量
  • 文章访问数:  1296
  • HTML全文浏览量:  99
  • PDF下载量:  1360
  • 被引次数: 0
出版历程
  • 刊出日期:  2018-07-18

目录

    /

    返回文章
    返回