One-dimensional vertical model of permafrost dynamics

5th All-Russian Conference with International Participation POLAR MECHANICS

地球科学;力学

Belolipetskii, V.M.^1 ; Genova, S.N.^1

Institute of Computational Modeling SB RAS, Krasnoyarsk, Russia^1

关键词: Numerical algorithms;    Phase-transition boundary;    Stefan problem;    Three-layer;    Vertical direction;    Vertical structures;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/193/1/012005/pdf
DOI  :  10.1088/1755-1315/193/1/012005

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Simple description of the temperature field in soils during their freezing or thawing is considered with the help of solutions of Stefan problems. A mathematical model is based on the equations of thermal conductivity for the frozen and thawed layers. In the vertical structure of the permafrost zone, three layers are distinguished: thawed soil, frozen soil, snow. A simplified numerical algorithm for solving one-dimensional (in the vertical direction) thermal conductivity problems with moving phase transition boundaries with the formation of new and cancellation of existing layers is proposed.