Geodesic
Modelling of the solidification of a metal drop on a cold substrate
Matematičeskoe modelirovanie, Tome 13 (2001) no. 9, pp. 119-127 Cet article a éte moissonné depuis la source Math-Net.Ru

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The mathematical model of liquid metal droplet impact onto a cold surface and a solidification is considered. The implicit finite difference scheme is utilized for a solution of the Navier–Stokes equations. The numerical algorithm to solve the unsteady currents of a viscous incompressible liquid is discussed. The position of the free boundary melt is marked by particles. Markers move with a local velocity of a liquid. The experimental rezults and numerical rezults are compared to confirm the algorithm. 
@article{MM_2001_13_9_a12,
     author = {V. N. Popov},
     title = {Modelling of the solidification of a~metal drop on a~cold substrate},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {119--127},
     year = {2001},
     volume = {13},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2001_13_9_a12/}
}
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V. N. Popov. Modelling of the solidification of a metal drop on a cold substrate. Matematičeskoe modelirovanie, Tome 13 (2001) no. 9, pp. 119-127. http://geodesic.mathdoc.fr/item/MM_2001_13_9_a12/