Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost

Sergei Stepanov, Djulustan Nikiforov and Aleksandr Grigorev
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Sergei Stepanov: Ammosov NEFU, Belinskogo Str. 58, Yakutsk 677000, Russia
Djulustan Nikiforov: Ammosov NEFU, Belinskogo Str. 58, Yakutsk 677000, Russia
Aleksandr Grigorev: Ammosov NEFU, Belinskogo Str. 58, Yakutsk 677000, Russia

Mathematics, 2021, vol. 9, issue 20, 1-12

Abstract: In this work, we design a multiscale simulation method based on the Generalized Multiscale Finite Element Method (GMsFEM) for numerical modeling of fluid seepage under permafrost condition in heterogeneous soils. The complex multiphysical model consists of the coupled Richards equation and the Stefan problem. These problems often contain heterogeneities due to variations of soil properties. For this reason, we design coarse-grid spaces for the multiphysical problem and design special algorithms for solving the overall problem. A numerical method has been tested on two- and three-dimensional model problems. A a quasi-real geometry with a complex surface is considered for the three-dimensional case. We demonstrate the efficiency and accuracy of the proposed method using several representative numerical results.

Keywords: cryolithozone; heat and mass transfer; finite element methed; GMsFEM (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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