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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 8, Pages 1402–1412 (Mi zvmmf268)  
This article is cited in 5 scientific papers (total in 5 papers)

Mathematical modeling of the three-dimensional evolution of the interface between fluids of different viscosities and densities in an inhomogeneous ground

D. N. Nikol'skii

Orel State University, Komsomol'skaya ul. 95, Orel, 302015, Russia
Full-text PDF (1076 kB) Citations (5)
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Abstract: The three-dimensional evolution of the interface between fluids of different viscosities and densities in the case of a piston displacement is considered. The problem is reduced to a system of integral and differential equations, which are solved numerically by the method of discrete singularities. The practical convergence of the numerical scheme is analyzed, and the numerical results are compared with an analytical solution.
Key words: interface problems for different fluids, fluid flow through an inhomogeneous ground, evolution of the interface, numerical method of discrete singularities, convergence analysis.
Received: 12.01.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 8, Pages 1347–1357
DOI: https://doi.org/10.1134/S096554250708012X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: D. N. Nikol'skii, “Mathematical modeling of the three-dimensional evolution of the interface between fluids of different viscosities and densities in an inhomogeneous ground”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1402–1412; Comput. Math. Math. Phys., 47:8 (2007), 1347–1357
Citation in format AMSBIB
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\by D.~N.~Nikol'skii
\paper Mathematical modeling of the three-dimensional evolution of the interface between fluids of different viscosities and densities in an inhomogeneous ground
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 8
\pages 1402--1412
\mathnet{http://mi.mathnet.ru/zvmmf268}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378185}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 8
\pages 1347--1357
\crossref{https://doi.org/10.1134/S096554250708012X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548420618}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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