Finite element simulation of planar instabilities during solidification of an undercooled melt
Journal of Computational Physics
Crystal growth and dendritic solidification
Journal of Computational Physics
Variational algorithms and pattern formation in dendritic solidification
Journal of Computational Physics
Computation of dendrites using a phase field model
Proceedings of the twelfth annual international conference of the Center for Nonlinear Studies on Nonlinearity in Materials Science
A front-tracking method for dendritic solidification
Journal of Computational Physics
Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
Journal of Computational Physics
Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
Journal of Computational Physics
Modeling melt convection in phase-field simulations of solidification
Journal of Computational Physics
Front-tracking finite element method for dendritic solidification: 765
Journal of Computational Physics
Numerical simulation of dendritic solidification with convection: three-dimensional flow
Journal of Computational Physics
Sharp interface Cartesian grid method III: Solidification of pure materials and binary solutions
Journal of Computational Physics
A level set simulation of dendritic solidification of multi-component alloys
Journal of Computational Physics
Journal of Computational Physics
Direct numerical simulations of flows with phase change
Computers and Structures
Journal of Scientific Computing
Hi-index | 31.47 |
A two-dimensional model for simulation of the directional solidification of dendritic alloys is presented. It solves the transient energy and solute conservation equations using finite element discretizations. The energy equation is solved in a fixed mesh of bilinear elements in which the interface is tracked; the solute conservation equation is solved in an independent, variable mesh of quadratic triangular elements in the liquid phase only. The triangular mesh is regenerated at each time step to accommodate the changes in the interface position using a Delaunay triangulation. The model is tested in a variety of situations of differing degrees of difficulty, including the directional solidification of Pb-Sb alloys.