Three-time-level methods for the numerical solution of soil freezing problems

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TypeArticle
Journal titleCold Regions Science and Technology
ISSN0165-232X
Volume3
Pages237242; # of pages: 6
SubjectPermafrost; Soils; frozen soils; heat transfer; Sol; sol gele; transfert de chaleur
AbstractFinite 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.
Publication date
LanguageEnglish
AffiliationNRC Institute for Research in Construction; National Research Council Canada
Peer reviewedYes
IdentifierDBR-P-925
NRC number18518
282
NPARC number20374430
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Record identifier34d3ad22-2cd6-4077-aadb-742e06120c71
Record created2012-07-23
Record modified2016-05-09
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