| Download | - View final version: Three-time-level methods for the numerical solution of soil freezing problems (PDF, 1.1 MiB)
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| Author | Search for: Goodrich, L. E.1 |
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| Affiliation | - National Research Council of Canada
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| Format | Text, Article |
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| Subject | permafrost; soils; frozen soils; heat transfer |
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| Abstract | Finite element and finite difference methods for heat and mass transfer problems are usually based on two-time-level schemes for treating the time derivative. In freezing and thawing problems the equations are non-linear. The non- linearity arises because of the dependence of the material properties on both temperature and moisture fields. With two-time-level schemes it is usually necessary to iterate the solution in order to obtain accurate results. For non- linear problems of this type iteration can be avoided by using a three-time-level scheme with material properties evaluated at the intermediate time level. The most well known three-time-level scheme is, however, subject to oscillation which seriously limits its usefulness. This paper discusses a new three-time-level scheme and compares it with several other time marching schemes from the standpoint of accuracy and susceptibility to oscillation. |
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| Publication date | 1980 |
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| In | |
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| Language | English |
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| Peer reviewed | Yes |
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| Identifier | DBR-P-925 |
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| NRC number | NRCC 18518
NRC-IRC-282 |
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| NPARC number | 20374430 |
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| Export citation | Export as RIS |
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| Report a correction | Report a correction (opens in a new tab) |
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| Record identifier | 34d3ad22-2cd6-4077-aadb-742e06120c71 |
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| Record created | 2012-07-23 |
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| Record modified | 2024-03-19 |
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