Phase-field modeling of dendritic solidification for an Al-4.5wt%Cu atomized droplet using an anisotropic adaptive mesh

Abstract : Dendritic growth is computed using a phase-field model with automatic adaptation of an anisotropic and unstructured finite element mesh. Unknowns are the phase-field function, a dimensionless temperature and a dimensionless composition, as proposed by [KAR1998] and [RAM2004]. Linear finite element interpolation is used for all variables, after discretization stabilization techniques that 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 [COU2011], [COU2014] and parallel implementations [DIG2001], 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 and a binary alloy in two and three dimensions are shown and compared with reference work. Discussion on algorithm details and the CPU time are outlined and a comparison with a macroscopic model are made.
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Carole Sarkis. Phase-field modeling of dendritic solidification for an Al-4.5wt%Cu atomized droplet using an anisotropic adaptive mesh. Material chemistry. PSL Research University, 2016. English. ⟨NNT : 2016PSLEM048⟩. ⟨tel-01649221⟩

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