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Article information
2022 , Volume 27, ą 2, p.19-36
Nasibullaeva E.S.
Simulation of acoustic scattering from a set of sound-permeable spheres in 3D space
The problem of acoustic scattering from a sound–permeable spheres set, arbitrarily located in 3D space, under the acoustic field action is considered. In the case of a spheres large number in the system configuration, as well as with an increase in their interaction, the problem solution requires significant computing resources and computer time. Therefore the algorithm optimization for constructing the reexpansion coefficient matrix is carried out in order to minimize the amount of RAM used, and the analysis of the costs of computing resources is carried out depending on the truncated series number. The optimized algorithm verification showed a good correspondence with the numerical data obtained by other researchers. The purpose is to determine the pressure distribution outside and inside the spheres in a wide range of system parameters. Methodology. When solving the Helmholtz equations, a numerical technique based on the fast multipole method was used. For the numerical solution, the method developed for the case of soundproof spheres has been adapted for the sound-permeable one. As a finding of the conducted series of computational experiments, a quantitative estimate of the truncated series number was obtained and can be applied to solution of resource-intensive problems. The optimized calculation method for various values of system parameters is demonstrated for particular examples. Originality. Diagrams constructed using the considered approach, in contrast to approaches based on averaged equations, have represented a complete pressure distribution picture outside and inside the spheres system
[full text] [link to elibrary.ru]
Keywords: sound-permeable sphere, acoustic scattering, multipole expansion method, computational experiment, monopole radiation source, pressure distribution diagram
doi: 10.25743/ICT.2022.27.2.003
Author(s):
Nasibullaeva Elvira Shamilevna
PhD. , Associate Professor
Position: Senior Research Scientist
Office: Mavlyutov Institute of Mechanics UFRC RAS
Address: 450054, Russia, Ufa
Phone Office: (347) 235-52-55
E-mail: elvira@anrb.ru
SPIN-code: 9634-9336 References:
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Bibliography link:
Nasibullaeva E.S. Simulation of acoustic scattering from a set of sound-permeable spheres in 3D space // Computational technologies. 2022. V. 27. ą 2. P. 19-36
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