Stefan problem through extended finite elements: review and further investigations (Q1662497)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Stefan problem through extended finite elements: review and further investigations |
scientific article; zbMATH DE number 6920471
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stefan problem through extended finite elements: review and further investigations |
scientific article; zbMATH DE number 6920471 |
Statements
Stefan problem through extended finite elements: review and further investigations (English)
0 references
20 August 2018
0 references
Summary: 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.
0 references
first-order phase transition
0 references
extended finite elements
0 references
embedded discontinuities
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
0 references
