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Numerical analysis with the phase field equations for the Stefan problems (1407.6464v3)
Published 24 Jul 2014 in math.AP, cond-mat.stat-mech, and math.NA
Abstract: Phase field equations describe the novel approach to the Stefan problems. We calculate these equations numerically performed in two-dimensions. We take full advantage of the phase field parameter $\varphi$ to track the interface on which complicated movements or changes are needed. More precisely, we analyze the dissolution and/or precipitation without the unknown velocity functions like the Navier-Stokes equations numerically.