Three-dimensional modeling of a thermal dendrite using the phase field method with automatic anisotropic and unstructured adaptive finite element meshing - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2016

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

(1) , (1) , (1) , (2)
1
2
Carole Sarkis
  • Fonction : Auteur
  • PersonId : 987595
Luisa Silva

Résumé

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.

Mots clés

Fichier principal
Vignette du fichier
MSE_117_1_012008.pdf (1.37 Mo) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01353713 , version 1 (12-08-2016)

Identifiants

Citer

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⟩
263 Consultations
91 Téléchargements

Altmetric

Partager

Gmail Facebook Twitter LinkedIn More