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首页> 外文期刊>Engineering analysis with boundary elements >Acoustic waves scattered by elastic waveguides using a spectral approach with a 2.5D coupled boundary-finite element method
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Acoustic waves scattered by elastic waveguides using a spectral approach with a 2.5D coupled boundary-finite element method

机译：使用2.5D耦合边界有限元方法的频谱方法通过弹性波导散射的声波

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摘要

This work presents a two-and-a-half dimensional (2.5D) spectral formulation based on the finite element method (FEM) and the boundary element method (BEM) to study wave propagation in acoustic and elastic waveguides. The analysis involved superposing two dimensional (2D) problems with different longitudinal wavenumbers. A spectral finite element (SFEM) is proposed to represent waveguides in solids with arbitrary cross-section. Moreover, the BEM is extended to its spectral formulation (SBEM) to study unbounded fluid media and acoustic enclosures. Both approaches use Lagrange polynomials as element shape functions at the Legendre-Gauss-Lobatto (LGL) points. The fluid and solid subdomains are coupled by applying the appropriate boundary conditions at the limiting interface. The proposed method is verified by means of two benchmark problems: wave propagation in an unbounded acoustic medium and the scattering of waves by an elastic inclusion. The convergence and the computational effort are evaluated for different h - p strategies. Numerical results show good agreement with the reference solution. Finally, the proposed method is used to study the pressure field generated by an array of elastic fluid-filled scatterers immersed in an acoustic medium.
机译：这项工作提出了一种基于有限元方法（FEM）和边界元方法（BEM）的二维半二维（2.5D）频谱公式，用于研究声波和弹性波导中的波传播。分析涉及叠加具有不同纵向波数的二维（2D）问题。提出了一种频谱有限元（SFEM）来表示具有任意横截面的固体中的波导。此外，BEM扩展到了其频谱公式（SBEM），以研究无界的流体介质和声学外壳。两种方法都使用Lagrange多项式作为Legendre-Gauss-Lobatto（LGL）点处的元素形状函数。通过在限制界面处应用适当的边界条件，将流体和固体子域耦合。所提出的方法通过两个基准问题得到验证：波在无界声介质中的传播以及弹性夹杂物对波的散射。针对不同的h-p策略评估了收敛性和计算量。数值结果与参考溶液吻合良好。最后，所提出的方法用于研究由浸没在声介质中的一系列充满弹性流体的散射体产生的压力场。

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