STABILITY OF THE TOTALLY IMPLICIT FINITE-DIFFERENCE SCHEME FOR THE ONE-DIMENSIONAL DIFFUSION EQUATION WITH A MOVING BOUNDARY

被引：0
|
作者：
FABBRI, M
机构：
[1] Laboratório Associado de Sensores e Materiais-LAS, Instituto de Pesquisas Espaciais-INPE, São José dos Campos, 12201, SP
来源：
COMPUTING | 1990年 / 45卷 / 04期
关键词：
SOLIDIFICATION; FINITE-DIFFERENCE METHODS; MOVING-BOUNDARY PROBLEMS; NUMERICAL ANALYSIS;
D O I：
10.1007/BF02238801
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We analyze the totally implicit O(h2k) finite difference method applied to a linear unidimensional diffusion equation with a boundry moving with constant velocity. The related physical problem is the solidification of a finite column filled with a binary mixture, in the quasiequilibrium regime. By advancing the boundary along the path h/k = velocity of the interface, a simple algorithm is obtained which is shown to be consistent and unconditionally stable for any value of the interfacial segregation factor and of the Peclet number.
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页码：333 / 343
页数：11
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