Scattering of a plane sound wave on isotropic bodies with a polygonal boundary
https://doi.org/10.22405/2226-8383-2025-26-3-358-373
Abstract
The problem of plane acoustic wave scattering on an isotropic, linear-elastic body represented by an unstructured polygonal mesh is considered. The problem is studied in the context of acoustics and elastodynamics. An efficient algorithm based on the boundary element method (BEM) and collocation is proposed for computing the scattered wave potential. The main implementation challenges include the non-uniqueness of the boundary acoustic equation, the singularity of integrals, and the full population of the system matrix. To overcome these issues, the Burton – Miller combined equation, regularization using Green’s function identities, and Voronoi-based mesh partitioning are employed. Compared to the finite element method (FEM),
the proposed approach reduces computational costs as it requires discretization of the object’s surface only. The developed method is validated by comparing it with the analytical solution for a sphere and with numerical solutions for complex bodies obtained using COMSOL. The results show that the proposed algorithm effectively computes acoustic fields for isotropic objects of arbitrary shape represented by polygonal meshes.
About the Author
Daniil Ruslanovich Lepetkov
Tula State University
Russian Federation
Russian Federation
postgraduate student
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Review
For citations:
Lepetkov D.R. Scattering of a plane sound wave on isotropic bodies with a polygonal boundary. Chebyshevskii Sbornik. 2025;26(3):358-373. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-3-358-373
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