Computational Implementation of a Mixed-Dimensional Model of Heat Transfer in the Soil-Pipe System in Cryolithic Zone

被引：1

作者：

Vasil'ev, V., I ^{[1
]}

Vasil'eva, M. V. ^{[1
]}

Nikiforov, D. Ya ^{[1
]}

Sidnyaev, N., I ^{[2
]}

Stepanov, S. P. ^{[1
]}

Tseeva, A. N. ^{[3
]}

机构：

[1] North Eastern Fed Univ, Yakutsk 677000, Russia

[2] Bauman State Tech Univ, Moscow 105005, Russia

[3] Yakutsk Design Res Inst Construct, Yakutsk 677000, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2021年 / 61卷 / 12期

基金：

俄罗斯科学基金会;

关键词：

cryolithic zone; heat and mass transfer; Stefan problem; finite element method; computational algorithm; DISCRETE-FRACTURE MODEL; FINITE-ELEMENT-METHOD; FLOW;

D O I：

10.1134/S0965542521120162

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2054 / 2067

页数：14