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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 11, Pages 1904–1926
DOI: https://doi.org/10.31857/S0044466921110120
(Mi zvmmf11321)
 

This article is cited in 2 scientific papers (total in 2 papers)

Mathematical physics

Statement of the beamforming problem and a method of its solution for the localization of an acoustic source based on computational experiment data

T. K. Kozubskayaa, G. M. Plaksina, I. L. Sofronovbc

a Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia
b Moscow Institute of Physics and Technology, 141700, Dolgoprudnyi, Moscow oblast, Russia
c Schlumberger, 125171, Moscow, Russia
Citations (2)
Abstract: The paper is devoted to the statement of the beamforming problem the goal of which is the determination of the continuous acoustic source function based on the analysis of time–space data obtained in computational experiments in aerodynamics and aeroacoustics problems. Here the computational experiment is a highly accurate reproduction of turbulent flow by numerical simulation, which is nowadays possible due to the use of eddy-resolving approaches, improved accuracy methods, large grids, and high-performance computers. Conditions on the parameters of discretization grids in the domain containing a monopole sound source and on the microphone grid required to ensure the validity and accuracy of the algorithm are formulated. A method for specifying the numerical parameters appearing in these conditions is proposed. The correctness of these parameters is controlled by the magnitude of the condition number of the beamforming operator. If the correctness conditions are not fulfilled, regularization of the beamforming operator with the aim of obtaining the source function with acceptable accuracy is considered. It is shown that the proposed numerical beamforming method accurately reconstructs the source function in test examples, and its application to the data obtained in computational experiments on turbulent flow around a part of wing with a high-lift device is in good agreement with the results of the acoustic field analysis of experimental data.
Key words: beamforming, computational experiment, eddy-resolving simulation, turbulent flow, aeroacoustics, acoustic source, triangulation, Gauss cubature.
Funding agency Grant number
Russian Foundation for Basic Research 19-51-80001
This work was supported by the Russian Foundation for Basic Research (project no. 19-51-80001), and was performed using supercomputers of the shared computer center of the Keldysh Institute of Applied Mathematics and the hardware of the shared computer center of Moscow State University.
Received: 11.06.2020
Revised: 11.06.2020
Accepted: 07.07.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 11, Pages 1864–1885
DOI: https://doi.org/10.1134/S0965542521110129
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: T. K. Kozubskaya, G. M. Plaksin, I. L. Sofronov, “Statement of the beamforming problem and a method of its solution for the localization of an acoustic source based on computational experiment data”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021), 1904–1926; Comput. Math. Math. Phys., 61:11 (2021), 1864–1885
Citation in format AMSBIB
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\by T.~K.~Kozubskaya, G.~M.~Plaksin, I.~L.~Sofronov
\paper Statement of the beamforming problem and a method of its solution for the localization of an acoustic source based on computational experiment data
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2021
\vol 61
\issue 11
\pages 1904--1926
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\crossref{https://doi.org/10.31857/S0044466921110120}
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\jour Comput. Math. Math. Phys.
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    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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