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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2022 Volume 34, Number 10, Pages 3–19 (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

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).

Received: 12.04.2022
Revised: 23.05.2022
Accepted: 27.06.2022

DOI: 10.20948/mm-2022-10-01


 English version:
Mathematical Models and Computer Simulations, 2023, 15:3, 373–383

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© Steklov Math. Inst. of RAS, 2024