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.

Stefan Problem through Extended Finite Elements: Review and Further Investigations / L.Salvatori;N.Tosi. - In: ALGORITHMS. - ISSN 1999-4893. - ELETTRONICO. - 2:(2009), pp. 1177-1220. [10.3390/a2031177]

Stefan Problem through Extended Finite Elements: Review and Further Investigations

SALVATORI, LUCA;
2009

Abstract

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.
2009
2
1177
1220
L.Salvatori;N.Tosi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/365028
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