Simulation of 2D rarefied gas flows based on the numerical solution of the Boltzmann equation

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Аннотация

There are various methods for calculating rarefied gas flows, in particular, statistical methods and deterministic methods based on the finite-difference solutions of the Boltzmann nonlinear kinetic equation and on the solutions of model kinetic equations. There is no universal method; each has its disadvantages in terms of efficiency or accuracy. The choice of the method depends on the problem to be solved and on parameters of calculated flows. Qualitative theoretical arguments help to determine the range of parameters of effectively solved problems for each method; however, it is advisable to perform comparative tests of calculations of the classical problems performed by different methods and with different parameters to have quantitative confirmation of this reasoning. The paper provides the results of the calculations performed by the authors with the help of the Direct Simulation Monte Carlo method and finite-difference methods of solving the Boltzmann equation and model kinetic equations. Based on this comparison, conclusions are made on selecting a particular method for flow simulations in various ranges of flow parameters.

Язык оригиналаанглийский
Название основной публикацииProceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017
Подзаголовок основной публикацииDedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS
Редакторы Fomin
ИздательAmerican Institute of Physics Inc.
Число страниц8
Том1893
ISBN (электронное издание)9780735415782
DOI
СостояниеОпубликовано - 26 окт 2017
Событие25th Conference on High-Energy Processes in Condensed Matter, HEPCM 2017 - Novosibirsk, Российская Федерация
Продолжительность: 5 июн 20179 июн 2017

Серия публикаций

НазваниеAIP Conference Proceedings
ИздательAMER INST PHYSICS
Том1893
ISSN (печатное издание)0094-243X

Конференция

Конференция25th Conference on High-Energy Processes in Condensed Matter, HEPCM 2017
СтранаРоссийская Федерация
ГородNovosibirsk
Период05.06.201709.06.2017

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    Poleshkin, S. O., Malkov, E. A., Kudryavtsev, A. N., Shershnev, A. A., Bondar, Y. A., & Kohanchik, A. A. (2017). Simulation of 2D rarefied gas flows based on the numerical solution of the Boltzmann equation. В Fomin (Ред.), Proceedings of the XXV Conference on High-Energy Processes in Condensed Matter, HEPCM 2017: Dedicated to the 60th Anniversary of the Khristianovich Institute of Theoretical and Applied Mechanics SB RAS (Том 1893). [030050] (AIP Conference Proceedings; Том 1893). American Institute of Physics Inc.. https://doi.org/10.1063/1.5007508