Three-dimensional modeling of a thermal dendrite using the phase field method with automatic anisotropic and unstructured adaptive finite element meshing

Abstract : Dendritic growth is computed with automatic adaptation of an anisotropic and unstructured finite element mesh. The energy conservation equation is formulated for solid and liquid phases considering an interface balance that includes the Gibbs-Thomson effect. An equation for a diffuse interface is also developed by considering a phase field function with constant negative value in the liquid and constant positive value in the solid. Unknowns are the phase field function and a dimensionless temperature, as proposed by [1]. Linear finite element interpolation is used for both variables, and discretization stabilization techniques ensure convergence towards a correct non-oscillating solution. In order to perform quantitative computations of dendritic growth on a large domain, two additional numerical ingredients are necessary: automatic anisotropic unstructured adaptive meshing [2,[3] and parallel implementations [4], both made available with the numerical platform used (CimLib) based on C++ developments. Mesh adaptation is found to greatly reduce the number of degrees of freedom. Results of phase field simulations for dendritic solidification of a pure material in two and three dimensions are shown and compared with reference work [1]. Discussion on algorithm details and the CPU time will be outlined.
Keywords : CAFE simulations
Type de document :
Communication dans un congrès
Liste complète des métadonnées

Littérature citée [14 références]  Voir  Masquer  Télécharger

https://hal-mines-paristech.archives-ouvertes.fr/hal-01353713
Contributeur : Magalie Prudon <>
Soumis le : vendredi 12 août 2016 - 15:39:53
Dernière modification le : mercredi 27 mars 2019 - 16:18:02
Document(s) archivé(s) le : dimanche 13 novembre 2016 - 11:13:07

Fichier

MSE_117_1_012008.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

Citation

Carole Sarkis, Luisa Silva, Charles-André Gandin, Mathis Plapp. Three-dimensional modeling of a thermal dendrite using the phase field method with automatic anisotropic and unstructured adaptive finite element meshing. 4th International Conference on Advances in Solidification Processes (ICASP-4), Jul 2014, Old Windsor, United Kingdom. pp.012008, ⟨10.1088/1757-899X/117/1/012008⟩. ⟨hal-01353713⟩

Partager

Métriques

Consultations de la notice

559

Téléchargements de fichiers

122