Stefan Problem Through Extended Finite Elements: Review And Further Investigations
ALGORITHMS(2009)
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.
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关键词
first-order phase transition,extended finite elements,embedded discontinuities
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