A robust and energy-conserving model of freezing variably-saturated soil
Phenomena involving frozen soil or rock are important in many natural systems and, as a consequence, there is a great interest in the modeling of their behavior. Few models exist that describe this process for both saturated and unsaturated soil and in conditions of freezing and thawing, as the ener...
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ftutrentoiris:oai:iris.unitn.it:11572/88299 2024-02-11T10:07:53+01:00 A robust and energy-conserving model of freezing variably-saturated soil M. Dall'Amico S. Endrizzi S. Gruber Rigon, Riccardo M., Dall'Amico S., Endrizzi S., Gruber Rigon, Riccardo 2011 STAMPA http://hdl.handle.net/11572/88299 https://doi.org/10.5194/tc-5-469-2011 http://www.the-cryosphere.net/5/469/2011/tc-5-469-2011.html eng eng country:DEU info:eu-repo/semantics/altIdentifier/wos/WOS:000292242500013 volume:2011 issue:5 firstpage:469 lastpage:484 numberofpages:16 journal:THE CRYOSPHERE http://hdl.handle.net/11572/88299 doi:10.5194/tc-5-469-2011 info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-79958148808 http://www.the-cryosphere.net/5/469/2011/tc-5-469-2011.html info:eu-repo/semantics/openAccess Permafrost Freezing Soil Cryosphere Newtonian methods info:eu-repo/semantics/article 2011 ftutrentoiris https://doi.org/10.5194/tc-5-469-2011 2024-01-23T23:08:14Z Phenomena involving frozen soil or rock are important in many natural systems and, as a consequence, there is a great interest in the modeling of their behavior. Few models exist that describe this process for both saturated and unsaturated soil and in conditions of freezing and thawing, as the energy equation shows strongly non-linear characteristics and is often difficult to handle with normal methods of iterative integration. Therefore in this paper we propose a method for solving the energy equation in freezing soil. The solver is linked with the solution of Richards equation, and is able to approximate water movement in unsaturated soils and near the liquid-solid phase transition. A globallyconvergent Newton method has been implemented to achieve robust convergence of this scheme. The method is tested by comparison with an analytical solution to the Stefan problem and by comparison with experimental data derived from the literature Article in Journal/Newspaper permafrost Università degli Studi di Trento: CINECA IRIS The Cryosphere 5 2 469 484 |
institution |
Open Polar |
collection |
Università degli Studi di Trento: CINECA IRIS |
op_collection_id |
ftutrentoiris |
language |
English |
topic |
Permafrost Freezing Soil Cryosphere Newtonian methods |
spellingShingle |
Permafrost Freezing Soil Cryosphere Newtonian methods M. Dall'Amico S. Endrizzi S. Gruber Rigon, Riccardo A robust and energy-conserving model of freezing variably-saturated soil |
topic_facet |
Permafrost Freezing Soil Cryosphere Newtonian methods |
description |
Phenomena involving frozen soil or rock are important in many natural systems and, as a consequence, there is a great interest in the modeling of their behavior. Few models exist that describe this process for both saturated and unsaturated soil and in conditions of freezing and thawing, as the energy equation shows strongly non-linear characteristics and is often difficult to handle with normal methods of iterative integration. Therefore in this paper we propose a method for solving the energy equation in freezing soil. The solver is linked with the solution of Richards equation, and is able to approximate water movement in unsaturated soils and near the liquid-solid phase transition. A globallyconvergent Newton method has been implemented to achieve robust convergence of this scheme. The method is tested by comparison with an analytical solution to the Stefan problem and by comparison with experimental data derived from the literature |
author2 |
M., Dall'Amico S., Endrizzi S., Gruber Rigon, Riccardo |
format |
Article in Journal/Newspaper |
author |
M. Dall'Amico S. Endrizzi S. Gruber Rigon, Riccardo |
author_facet |
M. Dall'Amico S. Endrizzi S. Gruber Rigon, Riccardo |
author_sort |
M. Dall'Amico |
title |
A robust and energy-conserving model of freezing variably-saturated soil |
title_short |
A robust and energy-conserving model of freezing variably-saturated soil |
title_full |
A robust and energy-conserving model of freezing variably-saturated soil |
title_fullStr |
A robust and energy-conserving model of freezing variably-saturated soil |
title_full_unstemmed |
A robust and energy-conserving model of freezing variably-saturated soil |
title_sort |
robust and energy-conserving model of freezing variably-saturated soil |
publisher |
country:DEU |
publishDate |
2011 |
url |
http://hdl.handle.net/11572/88299 https://doi.org/10.5194/tc-5-469-2011 http://www.the-cryosphere.net/5/469/2011/tc-5-469-2011.html |
genre |
permafrost |
genre_facet |
permafrost |
op_relation |
info:eu-repo/semantics/altIdentifier/wos/WOS:000292242500013 volume:2011 issue:5 firstpage:469 lastpage:484 numberofpages:16 journal:THE CRYOSPHERE http://hdl.handle.net/11572/88299 doi:10.5194/tc-5-469-2011 info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-79958148808 http://www.the-cryosphere.net/5/469/2011/tc-5-469-2011.html |
op_rights |
info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.5194/tc-5-469-2011 |
container_title |
The Cryosphere |
container_volume |
5 |
container_issue |
2 |
container_start_page |
469 |
op_container_end_page |
484 |
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1790606711728373760 |