Standard

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.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Alekseeva, SV & Sazhenkov, SA 2022, 'Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack', Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, Том. 15, № 2, 1, стр. 5-16. https://doi.org/10.14529/mmp220201

APA

Alekseeva, S. V., & Sazhenkov, S. A. (2022). Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack. Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, 15(2), 5-16. [1]. https://doi.org/10.14529/mmp220201

Vancouver

Alekseeva SV, Sazhenkov SA. Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack. Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software. 2022 май;15(2):5-16. 1. doi: 10.14529/mmp220201

Author

Alekseeva, S. V. ; Sazhenkov, S. A. / Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack. в: Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software. 2022 ; Том 15, № 2. стр. 5-16.

BibTeX

@article{b6b09a8cbfac4efebc0299520ba15bfd,
title = "Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack",
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.",
keywords = "conservation laws, filtration, phase transition, Rothe method, snow, Rothe method, conservation laws, filtration, phase transition, snow",
author = "Alekseeva, {S. V.} and Sazhenkov, {S. A.}",
note = "Funding Information: The work was carried out in accordance with the State Assignment of the Russian Ministry of Science and Higher Education entitled “Modern methods of hydrodynamics for environmental management, industrial systems and polar mechanics” (Govt. contract code: FZMW-2020-0008, 24 January 2020). Publisher Copyright: {\textcopyright} 2022 South Ural State University. All rights reserved.",
year = "2022",
month = may,
doi = "10.14529/mmp220201",
language = "English",
volume = "15",
pages = "5--16",
journal = "Вестник ЮУрГУ. Серия {"}Математическое моделирование и программирование{"}",
issn = "2071-0216",
publisher = "South Ural State University",
number = "2",

}

RIS

TY - JOUR

T1 - Studying the Model of Air and Water Filtration in a Melting or Freezing Snowpack

AU - Alekseeva, S. V.

AU - Sazhenkov, S. A.

N1 - Funding Information: The work was carried out in accordance with the State Assignment of the Russian Ministry of Science and Higher Education entitled “Modern methods of hydrodynamics for environmental management, industrial systems and polar mechanics” (Govt. contract code: FZMW-2020-0008, 24 January 2020). Publisher Copyright: © 2022 South Ural State University. All rights reserved.

PY - 2022/5

Y1 - 2022/5

N2 - 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.

AB - 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.

KW - conservation laws

KW - filtration

KW - phase transition

KW - Rothe method

KW - snow

KW - Rothe method

KW - conservation laws

KW - filtration

KW - phase transition

KW - snow

UR - http://www.scopus.com/inward/record.url?scp=85143064432&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=49307944

UR - https://www.mendeley.com/catalogue/e802fe18-781e-34bc-999b-605581ac3909/

U2 - 10.14529/mmp220201

DO - 10.14529/mmp220201

M3 - Article

AN - SCOPUS:85143064432

VL - 15

SP - 5

EP - 16

JO - Вестник ЮУрГУ. Серия "Математическое моделирование и программирование"

JF - Вестник ЮУрГУ. Серия "Математическое моделирование и программирование"

SN - 2071-0216

IS - 2

M1 - 1

ER -

ID: 40405858