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ISSN 2079-3316 Bilingual online scientific Online scientific journal of the Ailamazyan Program System Institute of the Ailamazyan PSI of PSI of Russian Academy of Science of RAS 12+ 
Volume 16 (2025) . Issue 4 (67) . Paper No. 11 (458)

Research Article
DOIDigital Object Identifier 10.25209/2079-3316-2025-16-4-287-317

Numerical modeling of the icing process under conditions of large supercooled droplets

Alexey Vladimirovich Goryachev1, Pavel Alexeevich Goryachev2Correspondent author, Dmitry Alexeevich Goryachev3, Maxim Vladimirovich Nuriev4, Andrey Andreevich Nikolaev5, Alexey Anatolievich Rybakov6Correspondent author

1-5Central Institute of Aviation Motors, Moscow, Russia
6National Research Center „Kurchatov Institute“, Moscow, Russia
2 Pavel Alexeevich Goryachev — Correspondent author pagoryachev@ciam.ru
6 Alexey Anatolievich Rybakov — Correspondent author rybakov_aan@nrcki.ru

Abstract. An improved method is proposed that allows increasing the accuracy of three-dimensional calculations of the process of ice formation on aircraft surfaces on large supercooled droplets (SLD) atmospheric conditions. Ice build-up formation is described using mathematical models of liquid film flow SWIM, as well as a model of deposition and splashing of large droplets upon impact with the ice surface. An improvement of the model is proposed that allows calculating the splashing process for both dry and wet surfaces. Validation of the proposed method is performed by comparing the calculation results with the available experimental data obtained on the NACA0012 model profile under SLD conditions. The calculation data showed better agreement with the experiment in terms of shape, size and localization of the formed ice build-ups compared to the results obtained using the Ansys Fensap-Ice software package. (In Russian).

Keywords: icing, aircraft, large supercooled droplets, finite element method, mathematical modeling

MSC-20202020 Mathematics Subject Classification 76T30; 76T99, 80A17, 80A19, 80A22, 80M12MSC-2020 76-XX: Fluid mechanics or other parts of 74-XX} MSC-2020 76Txx: Multiphase and multicomponent flows MSC-2020 76T30: Three or more component flows MSC-2020 76T99: None of the above, but in this section MSC-2020 80-XX: Classical thermodynamics, heat transfer MSC-2020 80Axx: Thermodynamics and heat transfer MSC-2020 80A17: Thermodynamics of continua MSC-2020 80A22: Stefan problems, phase changes, etc. MSC-2020 80Mxx: Basic methods in thermodynamics and heat transfer MSC-2020 80M12: Finite volume methods applied to problems in thermodynamics and heat transfer MSC-2020 :

Acknowledgments:

1,2,3,4,5The work was carried out on author's own initiative
6The work was carried out within the framework of the state assignment of the National Research Center "Kurchatov Institute".

For citation: Alexey V. Goryachev, Pavel A. Goryachev, Dmitry A. Goryachev, Maxim V. Nuriev, Andrey A. Nikolaev, Alexey A. Rybakov. Numerical modeling of the icing process under conditions of large supercooled droplets. Program Systems: Theory and Applications, 2025, 16:4, pp. 287–317. (In Russ.). https://psta.psiras.ru/2025/4_287-317.

Full text of article (PDF): https://psta.psiras.ru/read/psta2025_4_287-317.pdf.

The article was submitted 09.09.2025; approved after reviewing 10.11.2025; accepted for publication 20.11.2025; published online 01.12.2025.

© Goryachev A. V., Goryachev P. A., Goryachev D. A., Nuriev M. V., Nikolaev A. A., Rybakov A. A.
2025
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