Geodesic
Numerical analysis of a one-dimensional model of a melting-freezing snowpack
Journal of computational and engineering mathematics, Tome 8 (2021) no. 4, pp. 17-27 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article is devoted to a numerical study of a one-dimensional non-stationary problem on thermomechanical processes in a snowpack with account of effects of melting and freezing. Snow is modeled as a continuous medium consisting of water, air and porous ice skeleton. The governing equations of snow are based on the fundamental conservation laws of continuum mechanics. A finite-difference algorithm is constructed and a series of numerical experiments is fulfilled. The results of the computations correspond well to laboratory observations.
Keywords: snow, finite-difference scheme.
Mots-clés : filtration, phase transition 
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     author = {S. V. Alekseeva and S. A. Sazhenkov},
     title = {Numerical analysis of a one-dimensional model of a melting-freezing snowpack},
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     pages = {17--27},
     year = {2021},
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     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2021_8_4_a2/}
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S. V. Alekseeva; S. A. Sazhenkov. Numerical analysis of a one-dimensional model of a melting-freezing snowpack. Journal of computational and engineering mathematics, Tome 8 (2021) no. 4, pp. 17-27. http://geodesic.mathdoc.fr/item/JCEM_2021_8_4_a2/