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Matematicheskoe modelirovanie, 2022, Volume 34, Number 10, Pages 3–19
DOI: https://doi.org/10.20948/mm-2022-10-01 (Mi mm4408) 		 
Finite element method application for the impedance eduction problem in case of “Interferometer with the flow” installations

S. L. Denisov, N. N. Ostrikov

Central Aerohydrodynamic Institute (TsAGI), Acoustic Division
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DOI: https://doi.org/10.20948/mm-2022-10-01
Abstract: This paper deal with investigations of the Finite Element Method (FEM) application to sound propagation in "Interferometer with Flow" installations type in order to solve the problem of impedance eduction taking into account the inhomogeneity of the flow for the two-dimensional and three-dimensional geometries of the installation duct. The propagation of sound in a duct in the presence of a plane-parallel airflow is described by means of Linearized Euler equation, which is solved by FEM for a given sound frequency. Presented experimental and calculation results comparison demonstrates the influence of the calculated channel geometry on both the distribution of the sound field and the extracted impedance values.
Keywords: impedance, admittance, liners, Interferometer with the flow, Finite Element Method (FEM).
Funding agency Grant number
Russian Science Foundation 21-71-30016
Received: 12.04.2022
Revised: 23.05.2022
Accepted: 27.06.2022
English version:
Mathematical Models and Computer Simulations, 2023, Volume 15, Issue 3, Pages 373–383
DOI: https://doi.org/10.1134/S2070048223030043
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. L. Denisov, N. N. Ostrikov, “Finite element method application for the impedance eduction problem in case of “Interferometer with the flow” installations”, Matem. Mod., 34:10 (2022), 3–19; Math. Models Comput. Simul., 15:3 (2023), 373–383
Citation in format AMSBIB
\Bibitem{DenOst22}
\by S.~L.~Denisov, N.~N.~Ostrikov
\paper Finite element method application for the impedance eduction problem in case of “Interferometer with the flow” installations
\jour Matem. Mod.
\yr 2022
\vol 34
\issue 10
\pages 3--19
\mathnet{http://mi.mathnet.ru/mm4408}
\crossref{https://doi.org/10.20948/mm-2022-10-01}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4497555}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 3
\pages 373--383
\crossref{https://doi.org/10.1134/S2070048223030043}
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