Comparison of laplace transform and finite difference solutions for an evolving permafrost region
Abstract Laplace transform solutions are derived for an evolving permafrost region in saturated ground when the freezing interface moves with constant speed. The solution is inverse in the sense that the melting temperature at the interface and the groud surface temperature are prescribed functions...
Published in: | International Journal for Numerical and Analytical Methods in Geomechanics |
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crwiley:10.1002/nag.1610140904 2024-06-02T08:13:02+00:00 Comparison of laplace transform and finite difference solutions for an evolving permafrost region Morland, L. W. Kelly, R. J. 1990 http://dx.doi.org/10.1002/nag.1610140904 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fnag.1610140904 https://onlinelibrary.wiley.com/doi/pdf/10.1002/nag.1610140904 en eng Wiley http://onlinelibrary.wiley.com/termsAndConditions#vor International Journal for Numerical and Analytical Methods in Geomechanics volume 14, issue 9, page 631-648 ISSN 0363-9061 1096-9853 journal-article 1990 crwiley https://doi.org/10.1002/nag.1610140904 2024-05-03T10:51:47Z Abstract Laplace transform solutions are derived for an evolving permafrost region in saturated ground when the freezing interface moves with constant speed. The solution is inverse in the sense that the melting temperature at the interface and the groud surface temperature are prescribed functions of time. The solution procedure incorporates an initial temperature distribution in a domain extended above the ground surface. This allows, by asymptotic analysis, the construction of initially continuous melting and surface temperatures with bounded first and second derivatives. Solutions for two classes of initial conditions are determined by numerical inversion of the transforms. These solutions are used to test the corresponding solutions obtained by a direct finite difference algorithm developed earlier. 1 Good agreements for both interface path and temperature profiles are obtained in both classes. Article in Journal/Newspaper permafrost Wiley Online Library Laplace ENVELOPE(141.467,141.467,-66.782,-66.782) International Journal for Numerical and Analytical Methods in Geomechanics 14 9 631 648 |
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Wiley Online Library |
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crwiley |
language |
English |
description |
Abstract Laplace transform solutions are derived for an evolving permafrost region in saturated ground when the freezing interface moves with constant speed. The solution is inverse in the sense that the melting temperature at the interface and the groud surface temperature are prescribed functions of time. The solution procedure incorporates an initial temperature distribution in a domain extended above the ground surface. This allows, by asymptotic analysis, the construction of initially continuous melting and surface temperatures with bounded first and second derivatives. Solutions for two classes of initial conditions are determined by numerical inversion of the transforms. These solutions are used to test the corresponding solutions obtained by a direct finite difference algorithm developed earlier. 1 Good agreements for both interface path and temperature profiles are obtained in both classes. |
format |
Article in Journal/Newspaper |
author |
Morland, L. W. Kelly, R. J. |
spellingShingle |
Morland, L. W. Kelly, R. J. Comparison of laplace transform and finite difference solutions for an evolving permafrost region |
author_facet |
Morland, L. W. Kelly, R. J. |
author_sort |
Morland, L. W. |
title |
Comparison of laplace transform and finite difference solutions for an evolving permafrost region |
title_short |
Comparison of laplace transform and finite difference solutions for an evolving permafrost region |
title_full |
Comparison of laplace transform and finite difference solutions for an evolving permafrost region |
title_fullStr |
Comparison of laplace transform and finite difference solutions for an evolving permafrost region |
title_full_unstemmed |
Comparison of laplace transform and finite difference solutions for an evolving permafrost region |
title_sort |
comparison of laplace transform and finite difference solutions for an evolving permafrost region |
publisher |
Wiley |
publishDate |
1990 |
url |
http://dx.doi.org/10.1002/nag.1610140904 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fnag.1610140904 https://onlinelibrary.wiley.com/doi/pdf/10.1002/nag.1610140904 |
long_lat |
ENVELOPE(141.467,141.467,-66.782,-66.782) |
geographic |
Laplace |
geographic_facet |
Laplace |
genre |
permafrost |
genre_facet |
permafrost |
op_source |
International Journal for Numerical and Analytical Methods in Geomechanics volume 14, issue 9, page 631-648 ISSN 0363-9061 1096-9853 |
op_rights |
http://onlinelibrary.wiley.com/termsAndConditions#vor |
op_doi |
https://doi.org/10.1002/nag.1610140904 |
container_title |
International Journal for Numerical and Analytical Methods in Geomechanics |
container_volume |
14 |
container_issue |
9 |
container_start_page |
631 |
op_container_end_page |
648 |
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1800759668443709440 |