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Article

Krupička, Lukáš ; Štefan, Radek ; Beneš, Michal
Coupled heat transport and Darcian water flow in freezing soils. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 130-135
MSC: 65M06, 76S05, 76S99, 80A22
Keywords:
heat transport; Darcy flow; freezing soil; semi-implicit method
Summary:
The model of coupled heat transport and Darcian water flow in unsaturated soils and in conditions of freezing and thawing is analyzed. In this contribution, we present results concerning the existence of the numerical solution. Numerical scheme is based on semi-implicit discretization in time. This work illustrates its performance for a problem of freezing processes in vertical soil columns.
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