A comparison of numerical models for one-dimensional Stefan problems

被引：124

作者：

Javierre, E. ^{[1
]}

Vuik, C. ^{[1
]}

Vermolen, F. J. ^{[1
]}

van der Zwaag, S. ^{[1
]}

机构：

[1] Delft Univ Technol, NL-2628 CD Delft, Netherlands

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 192卷 / 02期

关键词：

Stefan problem; phase transformations; similarity solutions; moving grid method; level set method; phase field method;

D O I：

10.1016/j.cam.2005.04.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a critical comparison of the suitability of several numerical methods, level set, moving grid and phase field model, to address two well-known Stefan problems in phase transformation studies: melting of a pure phase and diffusional solid-state phase transformations in a binary system. Similarity solutions are applied to verify the numerical results. The comparison shows that the type of phase transformation considered determines the convenience of the numerical techniques. Finally, it is shown both numerically and analytically that the solid-solid phase transformation is a limiting case of the solid-liquid transformation. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：445 / 459

页数：15

共 27 条

[1] The fast construction of extension velocities in level set methods [J].