Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost
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 Stefa...
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ftmdpi:oai:mdpi.com:/2227-7390/9/20/2545/ 2023-08-20T04:09:12+02:00 Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost Sergei Stepanov Djulustan Nikiforov Aleksandr Grigorev 2021-10-11 application/pdf https://doi.org/10.3390/math9202545 EN eng Multidisciplinary Digital Publishing Institute Computational and Applied Mathematics https://dx.doi.org/10.3390/math9202545 https://creativecommons.org/licenses/by/4.0/ Mathematics; Volume 9; Issue 20; Pages: 2545 cryolithozone heat and mass transfer finite element methed GMsFEM Text 2021 ftmdpi https://doi.org/10.3390/math9202545 2023-08-01T02:55:21Z 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. Text permafrost MDPI Open Access Publishing Mathematics 9 20 2545 |
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Open Polar |
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MDPI Open Access Publishing |
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English |
topic |
cryolithozone heat and mass transfer finite element methed GMsFEM |
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cryolithozone heat and mass transfer finite element methed GMsFEM Sergei Stepanov Djulustan Nikiforov Aleksandr Grigorev Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost |
topic_facet |
cryolithozone heat and mass transfer finite element methed GMsFEM |
description |
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. |
format |
Text |
author |
Sergei Stepanov Djulustan Nikiforov Aleksandr Grigorev |
author_facet |
Sergei Stepanov Djulustan Nikiforov Aleksandr Grigorev |
author_sort |
Sergei Stepanov |
title |
Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost |
title_short |
Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost |
title_full |
Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost |
title_fullStr |
Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost |
title_full_unstemmed |
Multiscale Multiphysics Modeling of the Infiltration Process in the Permafrost |
title_sort |
multiscale multiphysics modeling of the infiltration process in the permafrost |
publisher |
Multidisciplinary Digital Publishing Institute |
publishDate |
2021 |
url |
https://doi.org/10.3390/math9202545 |
genre |
permafrost |
genre_facet |
permafrost |
op_source |
Mathematics; Volume 9; Issue 20; Pages: 2545 |
op_relation |
Computational and Applied Mathematics https://dx.doi.org/10.3390/math9202545 |
op_rights |
https://creativecommons.org/licenses/by/4.0/ |
op_doi |
https://doi.org/10.3390/math9202545 |
container_title |
Mathematics |
container_volume |
9 |
container_issue |
20 |
container_start_page |
2545 |
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1774721987146416128 |