Geodesic
A numerical model of the seasonal thawing of permafrost in the swamp-lake landscapes
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 2, pp. 158-165

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The theoretical description of the temperature field in the soils during freezing or thawing is carried out using solutions of Stefan's problem. A mathematical model based on the equations of thermal conductivity for frozen and thawed layers. We consider the areas in which there are lakes or bogs. We distinguished the following layers in the vertical structure of the zone of permafrost: thawed soil, frozen soil, water, ice, snow. We offer a simplified numerical algorithm for solving of one-dimensional (in the vertical direction) heat conduction problems with moving boundaries of phase transition with the formation of new and cancellation of existing layers. A simplified numerical algorithm for solving one-dimensional (in the vertical direction) heat conduction problems with moving boundaries of phase transition with the formation of new and cancellation of existing layers is offering.
Keywords: permafrost, Stefan's problem, thawed and frozen soil, small dimensional numerical model. 
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     title = {A numerical model of the seasonal thawing of permafrost in the swamp-lake landscapes},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     number = {2},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2016_9_2_a3/}
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Viktor M. Belolipetskii; Svetlana N. Genova. A numerical model of the seasonal thawing of permafrost in the swamp-lake landscapes. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 2, pp. 158-165. http://geodesic.mathdoc.fr/item/JSFU_2016_9_2_a3/