Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 11, Pages 1961–1972
DOI: https://doi.org/10.1134/S0044466919110115 (Mi zvmmf10985) 		 
This article is cited in 8 scientific papers (total in 8 papers)

A method for numerical simulation of haline convective flows in porous media as applied to geology

E. B. Soboleva

Ishlinsky Institute of Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia
Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0044466919110115
Abstract: A numerical code for simulating haline convective flows in porous media based on the finite difference method on a staggered nonuniform grid is developed. The mathematical model includes the equations of continuity, Darcy, and transport of contaminants with variable properties of the solid and fluid phases. The convective term in the convection–diffusion equation is approximated using the QUICK scheme. The code is tested using the problem of the concentration step motion as an example. A numerical solution of the onset and development of haline convection in a semi-infinite porous (homogeneous or inhomogeneous) domain with a contaminant source on the upper boundary is obtained.
Key words: filtration flow, natural haline convection, Darcy equation, convection–diffusion equation, finite difference method, QUICK schemeþ.
Funding agency Grant number
Russian Science Foundation 16-11-10195
This work was supported by the Russian Science Foundation, project no. 16-11-10195.
Received: 08.07.2019
Revised: 08.07.2019
Accepted: 08.07.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 11, Pages 1893–1903
DOI: https://doi.org/10.1134/S0965542519110101
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: E. B. Soboleva, “A method for numerical simulation of haline convective flows in porous media as applied to geology”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019), 1961–1972; Comput. Math. Math. Phys., 59:11 (2019), 1893–1903
Citation in format AMSBIB
\Bibitem{Sob19}
\by E.~B.~Soboleva
\paper A method for numerical simulation of haline convective flows in porous media as applied to geology
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2019
\vol 59
\issue 11
\pages 1961--1972
\mathnet{http://mi.mathnet.ru/zvmmf10985}
\crossref{https://doi.org/10.1134/S0044466919110115}
\elib{https://elibrary.ru/item.asp?id=41044799}
\transl
\jour Comput. Math. Math. Phys.
\yr 2019
\vol 59
\issue 11
\pages 1893--1903
\crossref{https://doi.org/10.1134/S0965542519110101}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000510740900010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076446026}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10985
  • https://www.mathnet.ru/eng/zvmmf/v59/i11/p1961
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Æóðíàë âû÷èñëèòåëüíîé ìàòåìàòèêè è ìàòåìàòè÷åñêîé ôèçèêè Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:218
    References:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025