Abstract
We consider a Green's-function formulation of directional solidification. We develop a numerical scheme which suppresses logarithmic singularities and makes the asymptotic behavior explicit. This one is characterized by a new parameter . At zero surface tension, we obtain solutions for any choice of and . With surface tension, we find that the wavelength remains arbitrary while discrete values are allowed, in agreement with the work of Dombre and Hakim. Their results are generalized to arbitrary surface tension.
- Received 23 October 1987
DOI:https://doi.org/10.1103/PhysRevLett.60.317
©1988 American Physical Society