A numerical model of the seasonal thawing of permafrost in the swamp-lake landscapes

Тип публикации: статья из журнала

Год издания: 2016

Идентификатор DOI: 10.17516/1997-1397-2016-9-2-158-165

Ключевые слова: Permafrost, Small dimensional numerical model, Stefan’s problem, Thawed and frozen soil

Аннотация: 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. © Siberian Federal University. All rights reserved.

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Издание

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 9, Is. 2

Номера страниц: 158-165

Авторы

  • Belolipetskii Victor M. (Inst Computat Modelling SB RAS, Akademgorodok 50-44, Krasnoyarsk 660036, Russia; Siberian Fed Univ, Inst Math & Comp Sci, Svobodny 79, Krasnoyarsk 660041, Russia)
  • Genova Svetlana N. (Inst Computat Modelling SB RAS, Akademgorodok 50-44, Krasnoyarsk 660036, Russia)

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