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A Meshfree Radial Point Interpolation Coupled with Infinite Acoustic Wave Envelope Element Method for Computing Acoustic Fields

机译:一种网上辐射点插值,耦合具有用于计算声场的无限声波包络元件方法

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摘要

To take advantage of the meshfree method in computational accuracy, the meshfree radial point interpolation method (RPIM) is introduced to compute acoustic fields in infinite domain. A hybrid meshfree-infinite acoustic wave envelope element method is proposed for acoustic radiationprediction. To improve the accuracy, soften the system stiffness compared to the "overly-stiff" finite element method, and properly model the amplitude decay of the outgoing travelling wave, the RPIM in near field is combined with a variable-order infinite acoustic wave envelope element (WEE)in far field to establish the discretized system equations. The coupling of the PRIM and WEE is achieved by interface elements to maintain the continuity and compatibility on the interface between the two domains, where the RPIM and WEE methods are applied. The suitable shape parameters ofradial basis functions and the size of the influence domain, which influence the performance of this method, are determined by numerical experiments. From the numerical results, the method not only can provide data with high accuracy but also has a faster convergence speed than the conventionalmethod of the finite element method (FEM) combined with WEE. The method can take full advantage of both the RPIM and WEE methods. The experimental results show that the method is very flexible for acoustic radiation prediction in the infinite domain.
机译:为了利用计算准确性的网眼方法,引入了网格辐射点插值方法(RPIM)以计算无限域中的声场。提出了一种混合网外无限声波包络元件方法,用于声学辐射预测。为了提高精度,软化系统刚度与“过硬”有限元方法相比,并适当地模拟传出行波的幅度衰减,近场的RPIM与可变级无限声波包络元件组合(WEE)在远场建立离散系统方程。通过接口元件实现PRIM和WEE的耦合,以维持在两个域之间的接口上的连续性和兼容性,其中施加RPIM和WEE方法。通过数值实验确定影响该方法性能的合适形状参数和影响结构域的尺寸,这是由数值实验确定的。从数值结果来看,该方法不仅可以提供高精度的数据,而且还具有比有限元方法(FEM)与WEE相结合的传统方法的更快的收敛速度。该方法可以充分利用RPIM和WEE方法。实验结果表明,对于无限域中的声学辐射预测,该方法非常灵活。

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