Title :
Asymptotic solution of the phase field system in the case of the high thermal conductivity and the small coefficient of the velocity of the free boundary
Author :
Rudnev, Vadim Yu
Author_Institution :
MIEM, Moscow Tech. Univ. of Commun. & Inf., Moscow, Russia
Abstract :
We consider the phase field system in the case of a stationary solution. We construct the corresponding weak asymptotic solution which becomes the classical solution of the Stefan-Gibbs-Thomson problem in the case of dynamics of the free boundary. Using numerical simulation we verify correctness of asymptotic solution constructed.
Keywords :
heat transfer; numerical analysis; thermal conductivity; Stefan-Gibbs-Thomson problem; asymptotic solution; classical solution; free boundary; high thermal conductivity; numerical simulation; phase field system; weak asymptotic solution; Diffraction; Educational institutions; Equations; Heating; Mathematical model; Numerical simulation; Thermal conductivity;
Conference_Titel :
Days on Diffraction (DD), 2013
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-1037-3
DOI :
10.1109/DD.2013.6712815
