Directional solidification in two and three dimensions
- 15 November 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (20) , 3323-3326
- https://doi.org/10.1103/physrevlett.71.3323
Abstract
A symmetric phase-field model is used to study directional solidification in two and three dimensions. Numerical evidence of tip-splitting, breathing modes, solitary modes, and other non-steady-state behavior is seen in 2D. A simple model for the breathing modes is proposed. Finally, 3D simulations indicate a hexagonal ordering of cells.Keywords
This publication has 17 references indexed in Scilit:
- Breathing mode in a pattern-forming system with two competing lengthsPhysical Review Letters, 1991
- Transition to chaos in directional solidificationPhysical Review Letters, 1991
- Dynamics of one-dimensional interfaces: an experimentalist's viewAdvances in Physics, 1991
- Phase dynamics in directional solidificationPhysical Review Letters, 1990
- Parity-breaking transitions of modulated patterns in hydrodynamic systemsPhysical Review Letters, 1989
- Solitary Modes and the Eckhaus Instability in Directional SolidificationPhysical Review Letters, 1988
- Instabilities of a Moving Nematic-Isotropic InterfacePhysical Review Letters, 1987
- Instabilities and pattern formation in crystal growthReviews of Modern Physics, 1980
- A nonlinear stability analysis of the freezing of a dilute binary alloyPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1970
- Stability of a Planar Interface During Solidification of a Dilute Binary AlloyJournal of Applied Physics, 1964