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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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: filtration, phase transition, snow, finite-difference scheme. 
@article{JCEM_2021_8_4_a2,
     author = {S. V. Alekseeva and S. A. Sazhenkov},
     title = {Numerical analysis of a one-dimensional model of a melting-freezing snowpack},
     journal = {Journal of computational and engineering mathematics},
     pages = {17--27},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2021_8_4_a2/}
}
TY  - JOUR
AU  - S. V. Alekseeva
AU  - S. A. Sazhenkov
TI  - Numerical analysis of a one-dimensional model of a melting-freezing snowpack
JO  - Journal of computational and engineering mathematics
PY  - 2021
SP  - 17
EP  - 27
VL  - 8
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCEM_2021_8_4_a2/
LA  - en
ID  - JCEM_2021_8_4_a2
ER  - 
%0 Journal Article
%A S. V. Alekseeva
%A S. A. Sazhenkov
%T Numerical analysis of a one-dimensional model of a melting-freezing snowpack
%J Journal of computational and engineering mathematics
%D 2021
%P 17-27
%V 8
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCEM_2021_8_4_a2/
%G en
%F JCEM_2021_8_4_a2
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/