We perform the linear-stability analysis in the boundary-layer model of dendritic solidification using both the direct matrix-diagonalization method and the differential-equation integration method. The fastest needle-crystal steady state is found to be linearly stable for nonzero anisotropy; successively slower needle crystals have successively more unstable modes. This result agrees with those previously obtained on other models.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics