Stefan Problem through Extended Finite Elements: Review and Further Investigations

Algorithms

Luca Salvatori¹ 

[1] DICeA, Università di Firenze, via di Santa Marta 3, I-50139 Firenze, Italy

关键词: first-order phase transition;    extended finite elements;    embedded discontinuities;   

DOI  :  10.3390/a2031177

来源: mdpi

【 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 embedded-discontinuity 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.

【 授权许可】

CC BY   
© 2009 by the authors; licensee Molecular Diversity Preservation International, Basel, Switzerland.