Stefan Problem through Extended Finite Elements: Review and Further Investigations

被引：16
|
作者：
Salvatori, Luca [1 ]
Tosi, Niccolo [2 ]
机构：
[1] Univ Firenze, DICeA, Via Santa Marta 3, I-50139 Florence, Italy
[2] Univ Southampton, Sch Engn Sci, Southampton SO17 1BJ, Hants, England
来源：
ALGORITHMS | 2009年 / 2卷 / 03期
关键词：
first-order phase transition; extended finite elements; embedded discontinuities;
D O I：
10.3390/a2031177
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A general review of the extended finite element method and its application to the simulation of first-order phase transitions is provided. Detailed numerical investigations are then performed by focusing on the one-dimensional case and studying: (i) spatial and temporal discretisations, (ii) different numerical techniques for the interface-condition enforcement, and (iii) different treatments for the blending elements. An embeddeddiscontinuity finite element approach is also developed and compared with the extended finite element method, so that a clearer insight of the latter can be given. Numerical examples for melting/ solidification in planar, cylindrical, and spherical symmetry are presented and the results are compared with analytical solutions.
引用
收藏
页码：1177 / 1220
页数：44
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