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

页码：1177 / 1220

页数：44

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