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Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost

Author

Listed:
  • 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)

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.

Suggested Citation

  • Sergei Stepanov & Djulustan Nikiforov & Aleksandr Grigorev, 2021. "Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost," Mathematics, MDPI, vol. 9(20), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:20:p:2545-:d:653453
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    References listed on IDEAS

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    1. Fabio V. Difonzo & Costantino Masciopinto & Michele Vurro & Marco Berardi, 2021. "Shooting the Numerical Solution of Moisture Flow Equation with Root Water Uptake Models: A Python Tool," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(8), pages 2553-2567, June.
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