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Title of Journal: Comput Visual Sci

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Abbravation: Computing and Visualization in Science

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Springer-Verlag

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10.1007/bf03046538

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1433-0369

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A conserving discretization for a Stefan problem w

Authors: C Vuik A Segal FJ Vermolen
Publish Date: 2014/03/19
Volume: 3, Issue: 1-2, Pages: 109-114
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Abstract

The dissolution of an Al2Cu particle is considered A characteristic property is that initially the particle has a nonsmooth boundary Furthermore the dissolution may be controlled by an interface reaction The mathematical model of this dissolution process contains a description of the particle interface of which the position varies in time Such a model is called a Stefan problem We use the finite element method to solve this problem numerically The displacement of the free boundary is computed by a method based on the balance of atoms This method leads to good results also for nonsmooth boundaries Some numerical experiments are given for the dissolution of an Al2Cu particle in an AlCu alloy with a varying rate of the interface reaction

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