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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 12, Pages 2060–2073
DOI: https://doi.org/10.31857/S0044466921120176 (Mi zvmmf11332) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical physics

Computational implementation of a mixed-dimensional model of heat transfer in the soil–pipe system in cryolithic zone

V. I. Vasilieva, M. V. Vasilyevaa, D. Ya. Nikiforova, N. I. Sidnyaevb, S. P. Stepanova, A. N. Tseevac

a North-Eastern Federal University, 677000, Yakutsk, Russia
b Bauman State Technical University, 105005, Moscow, Russia
c Yakutsk Design Research Institute of Construction, 677000, Yakutsk, Russia
Citations (3)
DOI: https://doi.org/10.31857/S0044466921120176
Abstract: A mathematical model of heat transfer between the permafrost foundation of a building with a system of freezing pipes and atmospheric air is constructed and numerically implemented. As a mathematical model of heat transfer in the building foundation, the Stefan problem in the enthalpy statement with smoothed coefficients and a smeared temperature source is used. The heat transfer in the system of pipes is described by a one-dimensional convection–conduction equation. Numerical results obtained on model problems showed that the proposed numerical method significantly reduces the computational complexity of the problem.
Key words: cryolithic zone, heat and mass transfer, Stefan problem, finite element method, computational algorithm.
Funding agency Grant number
Russian Science Foundation 19-11-00230
Ministry of Education and Science of the Russian Federation 14.ß26.31.0013
This work was supported by the Russian Science Foundation, project no. 19-11-00230, and by the Government of the Russian Federation, project no. 14.Y26.31.0013.
Received: 10.01.2020
Revised: 16.07.2021
Accepted: 04.08.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 12, Pages 2054–2067
DOI: https://doi.org/10.1134/S0965542521120162
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. I. Vasiliev, M. V. Vasilyeva, D. Ya. Nikiforov, N. I. Sidnyaev, S. P. Stepanov, A. N. Tseeva, “Computational implementation of a mixed-dimensional model of heat transfer in the soil–pipe system in cryolithic zone”, Zh. Vychisl. Mat. Mat. Fiz., 61:12 (2021), 2060–2073; Comput. Math. Math. Phys., 61:12 (2021), 2054–2067
Citation in format AMSBIB
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\by V.~I.~Vasiliev, M.~V.~Vasilyeva, D.~Ya.~Nikiforov, N.~I.~Sidnyaev, S.~P.~Stepanov, A.~N.~Tseeva
\paper Computational implementation of a mixed-dimensional model of heat transfer in the soil–pipe system in cryolithic zone
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2021
\vol 61
\issue 12
\pages 2060--2073
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\crossref{https://doi.org/10.31857/S0044466921120176}
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\transl
\jour Comput. Math. Math. Phys.
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\issue 12
\pages 2054--2067
\crossref{https://doi.org/10.1134/S0965542521120162}
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    		Æóðíàë âû÷èñëèòåëüíîé ìàòåìàòèêè è ìàòåìàòè÷åñêîé ôèçèêè Computational Mathematics and Mathematical Physics
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