Seminár 15.3.2012: Juraj Kyselica (FMFI UK)

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminár 15.3.2012: Juraj Kyselica (FMFI UK)

Postby kollar » Fri Mar 09, 2012 4:36 pm

Štvrtok 15.3.2012, 14:30-15:30, F1-326 / Thursday, March 15, 2012, 2:30-3:30 PM, F1-326

Juraj Kyselica (FMFI Univerzita Komenského Bratislava)

Mathematical modelling of solidification of a binary alloy

Abstrakt/Abstract:
We study the two-dimensional solidification of a binary alloy by numerical means. We employ a front-fixing transformation and develop a finite-difference scheme to simulate the evolution of an initially-planar solidification front. The self-similar solution is taken as a seed field in cases when the melt is constitutionally supercooled. In the regime considered, we find that the solid--liquid interface takes the form of a travelling wave. The parametric dependence of the numerical solution is also investigated.
kollar
 
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