A boundary integral approach to unstable solidification
Journal of Computational Physics
Crystal growth and dendritic solidification
Journal of Computational Physics
Modeling a no-slip flow boundary with an external force field
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
Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method
Journal of Computational Physics
Computation of three dimensional dendrites with finite elements
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
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
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 sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
Journal of Computational Physics
Numerical simulation of dendritic solidification with convection: three-dimensional flow
Journal of Computational Physics
A hybrid algorithm for modeling ice formation
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Journal of Computational Physics
Sharp interface Cartesian grid method III: Solidification of pure materials and binary solutions
Journal of Computational Physics
Journal of Computational Physics
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
Simulation of free dendritic crystal growth in a gravity environment
Journal of Computational Physics
Short note: A volume of fluid approach for crystal growth simulation
Journal of Computational Physics
Journal of Computational Physics
A sharp-interface phase change model for a mass-conservative interface tracking method
Journal of Computational Physics
Hi-index | 31.50 |
A front tracking method is presented for simulations of dendritic growth of pure substances in the presence of flow. The liquid-solid interface is explicitly tracked and the latent heat released during solidification is calculated using the normal temperature gradient near the interface. A projection method is used to solve the Navier-Stokes equations. The no-slip condition on the interface is enforced by setting the velocities in the solid phase to zero. The method is validated through a comparison with an exact solution for a Stefan problem, a grid refinement test, and a comparison with a solution obtained by a boundary integral method. Three sets of two-dimensional simulations are presented: a comparison with the simulations of Beckermann et al. (J. Comput. Phys. 154, 468, 1999); a study of the effect of different flow velocities; and a study of the effect of the Prandtl number on the growth of a group of dendrites growing together. The simulations show that on the upstream side the dendrite tip velocity is increased due to the increase in the temperature gradient and the formation of side branches is promoted. The flow has the opposite effect on the downstream side. The results are in good qualitative agreement with published experimental results, even though only the two-dimensional aspects are examined here.