Numerical solutions of diffusion-controlled moving boundary problems which conserve solute
Numerical solutions of diffusion-controlled moving boundary problems which conserve solute
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DOI：
10.1016/j.jcp.2005.02.031
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发表时间：
2005-10
影响因子：
4.1
通讯作者：
T. Illingworth;I. Golosnoy
中科院分区：
文献类型：
--
作者：
T. Illingworth;I. Golosnoy
本文综述并比较了在两个不同的阶段中由移动边界分离的扩散问题的瞬态解的数值方法。基于朗道变换，提出了一种新的方案.有限差分方程推导出这样一种方式，以确保溶质守恒。它适用于平面、圆柱形或球形几何形状的二元合金。实现该计划的算法的效率被认为是。计算实验表明，本文提出的算法在时间和空间上都具有一阶精度。
Numerical methods of finding transient solutions to diffusion problems in two distinct phases that are separated by a moving boundary are reviewed and compared. A new scheme is developed, based on the Landau transformation. Finite difference equations are derived in such a way as to ensure that solute is conserved. It is applicable to binary alloys in planar, cylindrical, or spherical geometries. The efficiency of algorithms which implement the scheme is considered. Computational experiments indicate that the algorithms presented here are of first order accuracy in both time and space.