Motion of multiple junctions: a level set approach
Journal of Computational Physics
A front-tracking method for dendritic solidification
Journal of Computational Physics
A variational level set approach to multiphase motion
Journal of Computational Physics
A simple level set method for solving Stefan problems
Journal of Computational Physics
Adaptive mesh refinement computation of solidification microstructures using dynamic data structures
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
Computational Fluid Dynamics with Moving Boundaries
Computational Fluid Dynamics with Moving Boundaries
Numerical simulation of dendritic solidification with convection: two-dimensional geometry
Journal of Computational Physics
Modeling dendritic growth of a binary alloy
Journal of Computational Physics
Numerical simulation of dendritic solidification with convection: three-dimensional flow
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
An enthalpy method for modeling eutectic solidification
Journal of Computational Physics
Hi-index | 31.45 |
A level set method combining features of front tracking methods and fixed domain methods is presented to model microstructure evolution in the solidification of multi-component alloys. Phase boundaries are tracked by solving the multi-phase level set equations. Diffused interfaces are constructed from these tracked phase boundaries using the level set functions. Based on the assumed diffused interfaces, volume-averaging techniques are applied for energy, species and momentum transport. Microstructure evolution in multi-component alloy systems is predicted using realistic material parameters. The methodology avoids the difficulty of parameter identification needed in other diffused interface models, and allows easy application to various practical alloy systems. Techniques including fast marching, narrow band computing and adaptive meshing are utilized to speed up computations. Several numerical examples are considered to validate the method and examine its potential for modeling solidification of practical alloy systems. These examples include two- and three-dimensional solidification of a binary alloy in an undercooled melt, a study of planar/cellular/dendritic transition in the solidification of a Ni-Cu alloy, and eutectic and peritectic solidification of an Fe-C system. Adaptive mesh refinement in the rapidly varying interface region makes the method practical for coupling the microstructure evolution at the meso-scale with buoyancy driven flow in the macro-scale, which is shown in the solidification of a Ni-Al-Ta ternary alloy.