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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
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.
Received: 10.01.2020 Revised: 16.07.2021 Accepted: 04.08.2021
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
Linking options:
https://www.mathnet.ru/eng/zvmmf11332 https://www.mathnet.ru/eng/zvmmf/v61/i12/p2060
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