Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 4, Pages 63–68 (Mi vmumm340)  

Short notes

Numerical simulation of the freezing process in a moist soil

B. P. Lazarev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Abstract: A numerical method is implemented for the solution of the unsteady three-dimensional heat transfer problem in moist soils with consideration of phase transitions in a region of subzero temperatures. The corresponding numerical model takes into account the physical nonlinearity of the soil. For the description of phase transitions in frozen soils, a model that consists of the four characteristic temperature zones where the basic thermodynamic soil parameters vary according to certain laws is used. The numerical simulation is carried out using the finite element method to discretize the boundary value problem in space and a finite difference scheme to discretize it in time. The obtained numerical solutions are compared with the analytical solutions to the Stefan problem.
Key words: freezing, thermal conductivity, nonlinearity, phase transition, heat capacity, finite element method, Stefan problem.
Received: 22.04.2013
English version:
Moscow University Mechanics Bulletin, 2014, Volume 69, Issue 4, Pages 103–107
DOI: https://doi.org/10.3103/S0027133014040050
Bibliographic databases:
Document Type: Article
UDC: 536.21
Language: Russian
Citation: B. P. Lazarev, “Numerical simulation of the freezing process in a moist soil”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 4, 63–68; Moscow University Mechanics Bulletin, 69:4 (2014), 103–107
Citation in format AMSBIB
\Bibitem{Laz14}
\by B.~P.~Lazarev
\paper Numerical simulation of the freezing process in a moist soil
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 4
\pages 63--68
\mathnet{http://mi.mathnet.ru/vmumm340}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2014
\vol 69
\issue 4
\pages 103--107
\crossref{https://doi.org/10.3103/S0027133014040050}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84926640186}
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