One-dimensional vertical model of permafrost dynamics

[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.

[发布机构] Institute of Computational Modeling SB RAS, Krasnoyarsk, Russia^1

[效力级别] 力学 [学科分类] 力学，机械学

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