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A weak-form interpolation meshfree method for computing underwater acoustic radiation

机译：用于计算水下声学辐射的弱形插值网格纤维方法

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摘要

An improved interpolating element-free Galerkin (IIEFG) method coupled with Modified Dirichlet-to-Neumann (MDtN) boundary condition is presented in this paper for use in computing underwater acoustic radiation. In the scheme of the IIEFG-MDtN approach, the improved interpolating moving least-square technology is employed to construct the shape function with the aim of improving the interpolation accuracy, and the MDtN boundary condition is used to meet the Sommerfeld radiation condition required at infinity and remove the difficulties arisen as the truncated DtN boundary condition is employed in computation. It is the key feature of this weak-form meshfree method that no connectivity of nodes or mesh is required for acoustic field variable interpolations while the prediction accuracy is significantly improved. The factors including the size of the influence domain, shape parameters and the number of terms used in the MDtN map, which affect the performance of this proposed method, are studied numerically. Typical numerical examples are presented to test the properties of the IIEFG-MDtN approach. The results indicate the devised method is outstanding to cope with underwater acoustic radiation prediction and can achieve higher accuracy and faster convergency compared to the finite element method.
机译：本文提出了一种改进的与改进的Dirichlet-eyumann（MDTN）边界条件耦合的改进的内插元素Galerkin（IiefG）方法，以用于计算水下声辐射。在IIEFG-MDTN方法的方案中，采用改进的内插移动最小二乘技术来构造形状函数，其目的是提高插值精度，并且MDTN边界条件用于满足无限远处所需的索默电费辐射条件并消除所出现的困难，因为在计算中采用截短的DTN边界条件。这是这种弱形网格的关键特征，即声场可变插值不需要节点或网格的连接，而预测精度明显改善。在数值上研究了影响该提出的方法的性能的影响域，形状参数和MDTN地图中使用的术语数的因素。提出了典型的数值例子以测试IIEFG-MDTN方法的性质。结果表明，设计的方法是应对水下声学辐射预测的突出，并且与有限元方法相比，可以实现更高的精度和更快的收敛。

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  • 来源
    《Oceanographic Literature Review》 |2021年第7期|1598-1599|共2页
  • 作者

    S. Wu; Y. Xiang; B. Liu; G. Li;

  • 作者单位

    School of Energy and Power Engineering Wuhan University of Technology Wuhan Hubei 400063 China;

    School of Energy and Power Engineering Wuhan University of Technology Wuhan Hubei 400063 China;

    School of Energy and Power Engineering Wuhan University of Technology Wuhan Hubei 400063 China;

    School of Energy and Power Engineering Wuhan University of Technology Wuhan Hubei 400063 China;

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