ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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MSC2020 76N15

Modeling of acoustic fields during gas flow around bodies

A. R. Bagapov1, R. V. Zhalnin2

AnnotationThe article describes the modeling of the acoustic field based on the analysis of pressure fluctuations. For this a model based on the laws of mass, energy and momentum is implemented in a two-dimensional setting. For the calculations, the HLLC scheme for solving the Rieman problem and the WENO scheme for reconstructing the gas-dynamic parameters on the faces between the cells are used. To simulate the acoustic field, a time-averaged characteristic was chosen - the overall sound pressure level (OASPL). The paper considers the acoustic field obtained when a gas flows around a single square body, a cascade of square bodies, a step and a cavity, an interpretation of the ongoing processes is given. The result of the study is the visualization and description of the phenomena that arise when a gas flow around bodies, as well as the study of the effect of removing the observation point on acoustic effects within the simulated area.
Keywordsgas dynamics, HLLC, WENO, acoustic field, acoustic noise, OASPL

1Arif R. Bagapov, master’s student at the Faculty of Mathematics and Information Technologies, National Research Mordovia State University, (68/1 Bolshevistskaya Str., Saransk 430005, Republic of Mordovia, Russia), ORCID:,

2Ruslan V. Zhalnin, head of the Department of Applied Mathematics, Differential Equations and Theoretical Mechanics, National Research Mordovia State University (68/1 Bolshevistskaya Str., Saransk 430005, Republic of Mordovia, Russia), Ph.D. (Physics and Mathematics), ORCID:,

Citation: A. R. Bagapov, R. V. Zhalnin, "[Modeling of acoustic fields during gas flow around bodies]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,22:3 (2020) 333–351 (In Russian)

DOI 10.15507/2079-6900.22.202003.333-351