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Matematicheskoe modelirovanie, 2014, Volume 26, Number 9, Pages 111–125 (Mi mm3519)  
This article is cited in 9 scientific papers (total in 9 papers)

Numerical modeling of thermal stabilization of filter ground

P. N. Vabishchevicha, M. V. Vasilyevab, N. V. Pavlovab

a Nuclear Safety Institute, Russian Academy of Sciences, Moscow
b Ammosov North-Eastern Federal University, Yakutsk
Full-text PDF (581 kB) Citations (9)
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Abstract: We consider the numerical simulation of the thermal stabilization (artificial freezing) filter soil around the base of the mine. Mathematical model based on the classical model of Stephen, which describes the process of heat transfer with phase change with the filter in a porous medium, and the system of equations for the temperature and pressure. Fictitious domain method is used for numerical solution of the resulting problem. Discretization of the system of equations is the finite element method, which is implemented in a software package FEniCSon high performance computing clusters. The numerical results are given and discussed.
Keywords: heat transfer, filtration, phase change, Stefan problem, fictitious domain method, finite element method, computing cluster.
Received: 18.04.2013
English version:
Mathematical Models and Computer Simulations, 2015, Volume 7, Issue 2, Pages 154–164
DOI: https://doi.org/10.1134/S2070048215020106
Bibliographic databases:
Document Type: Article
UDC: 519.63:517.958
Language: Russian
Citation: P. N. Vabishchevich, M. V. Vasilyeva, N. V. Pavlova, “Numerical modeling of thermal stabilization of filter ground”, Matem. Mod., 26:9 (2014), 111–125; Math. Models Comput. Simul., 7:2 (2015), 154–164
Citation in format AMSBIB
\Bibitem{VabVasPav14}
\by P.~N.~Vabishchevich, M.~V.~Vasilyeva, N.~V.~Pavlova
\paper Numerical modeling of thermal stabilization of filter ground
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 9
\pages 111--125
\mathnet{http://mi.mathnet.ru/mm3519}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 2
\pages 154--164
\crossref{https://doi.org/10.1134/S2070048215020106}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929092828}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:57
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