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Журнал вычислительной математики и математической физики, 2023, T. 63, № 12, стр. 1942-1959

Численный анализ течения разреженного газа через систему коротких каналов

И. В. Воронич 1, *, В. А. Титарев 1, **

1 ФИЦ ИУ РАН
119333 Москва, ул. Вавилова, 40, Россия

* E-mail: i.voronich@frccsc.ru
** E-mail: vladimir.titarev@frccsc.ru

Поступила в редакцию 17.05.2023
После доработки 26.06.2023
Принята к публикации 22.08.2023

Аннотация

На основе S-модельного кинетического уравнения рассматривается задача о перетекании разреженного газа из резервуара высокого давления в резервуар низкого давления через плоскую мембрану с конечным числом пор. Кинетическое уравнение решается численно неявным консервативным методом второго порядка точности, реализованным в собственном расчетном коде Несветай. Для переходных и континуальных режимов получены численные решения уравнений Навье–Стокса сжимаемой среды. Изучается зависимость от числа Кнудсена (${\text{Kn}}$) расхода газа через систему пор и действующие на стержни мембраны силы при отношении давлений в резервуарах $2:1$. Описаны особенности поля течения вблизи мембраны и на удалении от нее. Библ. 49. Фиг. 13. Табл. 3.

Ключевые слова: мембрана, канал, кинетическое уравнение, S-модель, разреженный газ, вычислительная аэродинамика, неструктурированная сетка, параллельные вычисления.

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