A front-tracking method for dendritic solidification
Journal of Computational Physics
Computation of three dimensional dendrites with finite elements
Journal of Computational Physics
A hybrid method for moving interface problems with application to the Hele-Shaw flow
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
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
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
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
Journal of Computational Physics
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
Multiscale finite-difference-diffusion-Monte-Carlo method for simulating dendritic solidification
Journal of Computational Physics
The immersed interface method for the Navier-Stokes equations with singular forces
Journal of Computational Physics
Nonlinear preconditioning for diffuse interfaces
Journal of Computational Physics
Front-tracking finite element method for dendritic solidification: 765
Journal of Computational Physics
A sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
Journal of Computational Physics
A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
Journal of Computational Physics
Numerical simulation of dendritic solidification with convection: two-dimensional geometry
Journal of Computational Physics
The front-tracking ALE method: application to a model of the freezing of cell suspensions
Journal of Computational Physics
Modeling dendritic growth of a binary alloy
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A second-order boundary-fitted projection method for free-surface flow computations
Journal of Computational Physics
Sharp interface tracking using the phase-field equation
Journal of Computational Physics
Modeling the interaction of biological cells with a solidifying interface
Journal of Computational Physics
Journal of Computational Physics
International Journal of Computational Fluid Dynamics
A non-conforming monolithic finite element method for problems of coupled mechanics
Journal of Computational Physics
SIAM Journal on Scientific Computing
Journal of Scientific Computing
Hi-index | 31.48 |
A numerical technique is presented for computing dendritic growth of crystals from pure melts and binary solutions. The governing equations are solved on a fixed Cartesian mesh and the immersed phase boundary is treated as a sharp solid-fluid interface. The interface is tracked using a level-set field. A finite-difference scheme is presented that incorporates the immersed phase boundary with only a small change to a standard Cartesian grid Poisson solver. The scheme is simple to implement in three-dimensions. The results from our calculations show excellent agreement with two-dimensional microscopic solvability theory for pure material solidification. It is shown that the method predicts dendrite tip characteristics in excellent agreement with the theory. The sharp interface treatment allows discontinuous material property variation at the solid-liquid interface. This facilitates sharp-interface simulations of dendritic solidification of binary solutions.