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The stable node-based smoothed finite element method for analyzing acoustic radiation problems

机译：基于稳定节点的光滑有限元分析声辐射问题

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摘要

In this paper, the stable node-based smoothed finite element method (SNS-FEM) and the well-known Dirichlet-to-Neumann (DtN) boundary condition are coupled together to reduce the dispersion error in analyzing acoustic radiation problems. An artificial boundary is introduced to truncate the infinite domain and the DtN boundary condition is imposed on the artificial boundary to guarantee the uniqueness of the solution. In the SNS-FEM formulation, a stable item which contains the gradient variance items is constructed without any uncertain parameter to strengthen the system stiffness. Through this operation, a perfect balance between the stiffness and mass matrices is established and the dispersion error is reduced significantly. Two benchmark cases and two practical engineering problems are employed to investigate the performance of the SNS-FEM. The results demonstrate that the SNS-FEM achieves super accuracy and super convergence. Additionally, the SNS-FEM is less sensitive to the wave number and high-efficiency.
机译：本文将稳定的基于节点的平滑有限元方法（SNS-FEM）和著名的Dirichlet-to-Neumann（DtN）边界条件耦合在一起，以减少分析声辐射问题时的色散误差。引入了人工边界来截断无限域，并且在人工边界上施加了DtN边界条件，以确保解的唯一性。在SNS-FEM公式中，构造了包含梯度变化项的稳定项，而没有任何不确定的参数来增强系统刚度。通过该操作，在刚度和质量矩阵之间建立了完美的平衡，并且色散误差大大降低。使用两个基准案例和两个实际工程问题来研究SNS-FEM的性能。结果表明，SNS-FEM实现了超高精度和超收敛。另外，SNS-FEM对波数和高效率较不敏感。

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  • 来源
    《Engineering analysis with boundary elements》 |2017年第7期|142-151|共10页
  • 作者

    Xin Hu; Xiangyang Cui; Qunyi Zhang; Gang Wang; Guangyao Li;

  • 作者单位

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Collaborative Innovation Center for Intelligent New Energy Vehicle, Shanghai 200092, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Collaborative Innovation Center for Intelligent New Energy Vehicle, Shanghai 200092, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Collaborative Innovation Center for Intelligent New Energy Vehicle, Shanghai 200092, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Collaborative Innovation Center for Intelligent New Energy Vehicle, Shanghai 200092, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Collaborative Innovation Center for Intelligent New Energy Vehicle, Shanghai 200092, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Acoustic radiation; Numerical methods; The stable node-based smoothed finite element; method (SNS-FEM); Dirichlet-to-Neumann (DtN) condition;

    机译：声辐射;数值方法;基于稳定节点的平滑有限元;方法（SNS-FEM）;Dirichlet-to-Neumann（DtN）条件;

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