Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack

S. V. Alekseeva; S. A. Sazhenkov

doi:10.14529/mmp220201

Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack

Переведенное название: Исследование модели фильтрации воздуха и воды в тающем или замерзающем снеге

S. V. Alekseeva, S. A. Sazhenkov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

Статья посвящена теоретическому исследованию нестационарной задачи описания термомеханических процессов в снегу с учетом эффектов таяния и промерзания. Снег моделируется как сплошная среда, состоящая из воды, воздуха и пористого ледяного скелета. Базовые уравнения, описывающие состояние снега, основаны на фундаментальных законах сохранения механики сплошных сред. Для одномерной постановки в качестве приближения рассматриваемой задачи строится схема Роте. Дается формальное обоснование метода Роте, т.е. устанавливается сходимость приближенных решений к решению рассматриваемой задачи при некоторых дополнительных требованиях регулярности.

Переведенное название	Исследование модели фильтрации воздуха и воды в тающем или замерзающем снеге
Язык оригинала	английский
Номер статьи	1
Страницы (с-по)	5-16
Число страниц	12
Журнал	Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software
Том	15
Номер выпуска	2
DOI	https://doi.org/10.14529/mmp220201
Состояние	Опубликовано - мая 2022

Ключевые слова

conservation laws
filtration
phase transition
Rothe method
snow

Предметные области OECD FOS+WOS

1.02 КОМПЬЮТЕРНЫЕ И ИНФОРМАЦИОННЫЕ НАУКИ
1.01 МАТЕМАТИКА

ГРНТИ

27 МАТЕМАТИКА

Доступ к документу

10.14529/mmp220201

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abstract = "The article is devoted to a theoretical study of a non-stationary problem on thermomechanical processes in snow taking into account the effects of melting and freezing. Snow is modeled as a continuous medium consisting of water, air and porous ice skeleton. The governing equations of snow are based on the fundamental conservation laws of continuum mechanics. For the one-dimensional setting, the Rothe scheme is constructed as an approximation of the considered problem and the Rothe method is formally justified, i.e., convergence of approximate solutions to the solution of the considered problem is established under some additional regularity requirements.",

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Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack. / Alekseeva, S. V.; Sazhenkov, S. A.

В: Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, Том 15, № 2, 1, 05.2022, стр. 5-16.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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