Iteratively coupled mixed finite element solver for thermo-hydro-mechanical modeling of permafrost thaw
In this paper we consider computational challenges associated with thermo-hydro-mechanical models for simulation of subsidence due to permafrost thaw. The model we outline couples heat conduction with phase change and thermal advection to Biot’s poroelasticity equations with attention paid to the de...
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ftdoajarticles:oai:doaj.org/article:d09af7ac45ed4890ac0897c9a8df3d86 2024-09-09T20:02:53+00:00 Iteratively coupled mixed finite element solver for thermo-hydro-mechanical modeling of permafrost thaw Naren Vohra Malgorzata Peszynska 2024-05-01T00:00:00Z https://doi.org/10.1016/j.rinam.2024.100439 https://doaj.org/article/d09af7ac45ed4890ac0897c9a8df3d86 EN eng Elsevier http://www.sciencedirect.com/science/article/pii/S2590037424000098 https://doaj.org/toc/2590-0374 2590-0374 doi:10.1016/j.rinam.2024.100439 https://doaj.org/article/d09af7ac45ed4890ac0897c9a8df3d86 Results in Applied Mathematics, Vol 22, Iss , Pp 100439- (2024) Thermo-hydro-mechanical models Heterogeneous permafrost Heat conduction with phase change Poroelasticity Mixed finite elements Nonlinear constitutive relationships Mathematics QA1-939 article 2024 ftdoajarticles https://doi.org/10.1016/j.rinam.2024.100439 2024-08-05T17:49:11Z In this paper we consider computational challenges associated with thermo-hydro-mechanical models for simulation of subsidence due to permafrost thaw. The model we outline couples heat conduction with phase change and thermal advection to Biot’s poroelasticity equations with attention paid to the dependence of the constitutive parameters on temperature. Our numerical scheme uses the lowest order mixed finite elements for discretization of thermal and hydrological flow, and Galerkin finite elements for mechanics, and uses an implicit–explicit time stepping. We set up an iterative solver that solves the thermal subproblem followed by the hydro-mechanical subproblem, and demonstrate its robustness in practical heterogeneous permafrost scenarios. We also identify the challenges associated with the roughness of the dependence of mechanical parameters on the temperature. Article in Journal/Newspaper permafrost Directory of Open Access Journals: DOAJ Articles Results in Applied Mathematics 22 100439 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Thermo-hydro-mechanical models Heterogeneous permafrost Heat conduction with phase change Poroelasticity Mixed finite elements Nonlinear constitutive relationships Mathematics QA1-939 |
spellingShingle |
Thermo-hydro-mechanical models Heterogeneous permafrost Heat conduction with phase change Poroelasticity Mixed finite elements Nonlinear constitutive relationships Mathematics QA1-939 Naren Vohra Malgorzata Peszynska Iteratively coupled mixed finite element solver for thermo-hydro-mechanical modeling of permafrost thaw |
topic_facet |
Thermo-hydro-mechanical models Heterogeneous permafrost Heat conduction with phase change Poroelasticity Mixed finite elements Nonlinear constitutive relationships Mathematics QA1-939 |
description |
In this paper we consider computational challenges associated with thermo-hydro-mechanical models for simulation of subsidence due to permafrost thaw. The model we outline couples heat conduction with phase change and thermal advection to Biot’s poroelasticity equations with attention paid to the dependence of the constitutive parameters on temperature. Our numerical scheme uses the lowest order mixed finite elements for discretization of thermal and hydrological flow, and Galerkin finite elements for mechanics, and uses an implicit–explicit time stepping. We set up an iterative solver that solves the thermal subproblem followed by the hydro-mechanical subproblem, and demonstrate its robustness in practical heterogeneous permafrost scenarios. We also identify the challenges associated with the roughness of the dependence of mechanical parameters on the temperature. |
format |
Article in Journal/Newspaper |
author |
Naren Vohra Malgorzata Peszynska |
author_facet |
Naren Vohra Malgorzata Peszynska |
author_sort |
Naren Vohra |
title |
Iteratively coupled mixed finite element solver for thermo-hydro-mechanical modeling of permafrost thaw |
title_short |
Iteratively coupled mixed finite element solver for thermo-hydro-mechanical modeling of permafrost thaw |
title_full |
Iteratively coupled mixed finite element solver for thermo-hydro-mechanical modeling of permafrost thaw |
title_fullStr |
Iteratively coupled mixed finite element solver for thermo-hydro-mechanical modeling of permafrost thaw |
title_full_unstemmed |
Iteratively coupled mixed finite element solver for thermo-hydro-mechanical modeling of permafrost thaw |
title_sort |
iteratively coupled mixed finite element solver for thermo-hydro-mechanical modeling of permafrost thaw |
publisher |
Elsevier |
publishDate |
2024 |
url |
https://doi.org/10.1016/j.rinam.2024.100439 https://doaj.org/article/d09af7ac45ed4890ac0897c9a8df3d86 |
genre |
permafrost |
genre_facet |
permafrost |
op_source |
Results in Applied Mathematics, Vol 22, Iss , Pp 100439- (2024) |
op_relation |
http://www.sciencedirect.com/science/article/pii/S2590037424000098 https://doaj.org/toc/2590-0374 2590-0374 doi:10.1016/j.rinam.2024.100439 https://doaj.org/article/d09af7ac45ed4890ac0897c9a8df3d86 |
op_doi |
https://doi.org/10.1016/j.rinam.2024.100439 |
container_title |
Results in Applied Mathematics |
container_volume |
22 |
container_start_page |
100439 |
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1809934820015341568 |