Abstract
The article is devoted to the numerical solution of the Stefan problem for studying the process of soil thawing in permafrost conditions. An enthalpy solution method was constructed, and the applicability of this method was considered. The numerical solution was found using the Pismen-Rekford scheme in 2D and 3D cases. The developed computational algorithms are parallelized for use on modern high performance computational systems. An approach has been implemented for modeling thermal processes in the thickness of an arbitrary array of substances, taking into account arbitrary initial conditions and environmental conditions. Mathematical modeling of the process of thawing of the upper layer of permafrost was carried out in two-dimensional and three-dimensional formulations, including the formulation with a gas reservoir located in the ground.
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