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Application of Multipole Decomposition for Sonic Boom Propagation Problems

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Abstract

In the present, work a modification of the multipole decomposition method is developed, which makes it possible to relate the overpressure distribution in the near-field of a supersonic transport (SST) with a far-field distribution, which is needed for the solution of sonic boom propagation problem from an SST. A generalization of the method for solving the integral equations arising from multipole decomposition is performed. An algorithm for multipole correction of near-field overpressure signatures obtained in numerical simulations has been developed and tested.

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ACKNOWLEDGMENTS

The authors thank Yu.S. Suvorov and K.G. Khairullina for help with calculations.

Funding

The publication was prepared as part of the implementation of the Program for the creation and development of the world-class scientific center Supersound for 2020–2025 with financial support from the Ministry of Science and Higher Education of the Russian Federation (agreement on the provision of a grant in the form of subsidies from the federal budget for state support for the creation and development of scientific world-class centers performing research and development according to the priorities of scientific and technological development dated May 17, 2022, no. 075-15-2022-1023).

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Authors and Affiliations

  1. Zhukovsky Central Aerohydrodynamic Institute, 140181, Zhukovsky, Russia

    A. A. Kornyakov, V. G. Soudakova & A. S. Shcheglova

Authors
  1. A. A. Kornyakov
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  2. V. G. Soudakova
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  3. A. S. Shcheglova
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Correspondence to V. G. Soudakova.

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Translated by K. Gumerov

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Kornyakov, A.A., Soudakova, V.G. & Shcheglova, A.S. Application of Multipole Decomposition for Sonic Boom Propagation Problems. Mech. Solids 58, 2933–2943 (2023). https://doi.org/10.3103/S0025654423080113

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  • DOI: https://doi.org/10.3103/S0025654423080113

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