Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
A front-tracking method for dendritic solidification
Journal of Computational Physics
Computation of three dimensional dendrites with finite elements
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
Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations
Journal of Computational Physics
Multiscale finite-difference-diffusion-Monte-Carlo method for simulating dendritic solidification
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
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
Modeling dendritic growth of a binary alloy
Journal of Computational Physics
A Level Set Approach for the Numerical Simulation of Dendritic Growth
Journal of Scientific Computing
Modelling dendritic solidification with melt convection using the extended finite element method
Journal of Computational Physics
A level set simulation of dendritic solidification of multi-component alloys
Journal of Computational Physics
Short note: A volume of fluid approach for crystal growth simulation
Journal of Computational Physics
Hi-index | 31.46 |
A numerical method for the simulation of the effect of melt flow on the three-dimensional growth of a dendrite is described. The method is an extension of the technique for two-dimensional flow described in Al-Rawahi and Tryggvason [J. Comput. Phys. 180 (2002) 471] and is based on the explicit tracking of connected marker points that describe the liquidsolid interface. An explicit projection method is used to solve the energy and the Navier-Stokes equations on a regular stationary grid and the solidified region is represented by setting the velocities in the solid phase to zero. The latent heat released during solidification is calculated using the normal temperature gradient near the interface. The method is validated by a comparison with an exact solution for a Stefan problem and a grid refinement study. The simulations show that the speed of a dendrite arm growing into the flow is increased due to an increase in the temperature gradient on the upstream side and the formation of side branches is promoted, as in two-dimensions. The effect of the flow on the growth of dendrite arms growing in the downstream direction is smaller than in two-dimensions, due to a smaller wake.