Numerical and analytical investigation of the free boundary confluence for the phase field system
V.G. Danilov, V.Yu. Rudnev
TL;DR
This paper investigates the behavior of free boundaries in a phase field system related to the Stefan-Gibbs-Thomson problem, focusing on numerical solutions and the impact of temperature disturbances at boundary contact points.
Contribution
It provides a combined numerical and analytical study of free boundary confluence in the phase field system, highlighting the effects of soliton-type temperature disturbances.
Findings
Free boundary interaction analyzed numerically
Temperature disturbances influence boundary confluence
Insights into phase transition dynamics
Abstract
In this paper we numerically research the solutions of the phase field system for the spherically symmetric Stefan-Gibbs-Thomson problem in the case of interaction of the free boundaries. We analyze the effect of the soliton type disturbance of the temperature in the point of the contact of the free boundaries.
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Taxonomy
TopicsSolidification and crystal growth phenomena · Advanced Mathematical Modeling in Engineering · Differential Equations and Numerical Methods