Comparison of analytical solution of the semi-infinite problem of soil freezing with numerical solutions in various simulation software

21st International Scientific Conference on Advanced in Civil Engineering "Construction - The Formation of Living Environment"

土木建筑工程

Alekseev, Andrey^1,2 ; Gribovskii, Gleb^3 ; Vinogradova, Svetlana^2

Moscow State University of Civil Engineering, Yaroslavskoye shosse 26, Moscow

129337, Russia^1

Research Institute of Bases and Underground Structures NIIOSP Named after N M Gersevanov, JSC Research Center of Construction, 2nd Institutskaya st. 6, Moscow

109428, Russia^2

Department of Theoretical and Applied Mechanics, BSU, Nezavisimosti avenue 4, Minsk

220030, Belarus^3

关键词: Frost penetrations;    Heat transfer model;    Moving boundaries;    Numerical solution;    Simulation software;    Soil physical property;    Stefan condition;    Strong nonlinearity;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/365/4/042059/pdf
DOI  :  10.1088/1757-899X/365/4/042059

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

The objective of this research is to determine the most suitable software packages for simulation of thermal effect of various constructions on seasonally frozen or permafrost ground. The abrupt change in soil physical properties at freeze/thaw boundaries is a considerable challenge because it introduces a strong nonlinearity into the heat transfer model. Mathematically speaking, there appears a Stefan condition at the moving boundary of the phase transition. A problem of soil column freezing is considered. The simulation results, obtained by different software, are compared with the analytical solution of the corresponding semi-infinite Stefan problem. The frost penetration depth and the depth profiles of temperature and its absolute error, after 300 days, are presented.