Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Cellular Automation Finite Difference Modeling of Morphological Evolution During Alloy Solidification



R E. Napolitano, T H. Sanders


Morphological evolution of a dendritic growth front in a binary alloy is simulated using a cellular automation approach to establish the feasibility of modeling such growth with a local rule-based scheme. The motivation for this work is derived from the need to predict the development of solidification structures within real components of complex geometry, where significant constraint of the thermal and solutal fields may exist. Such cases present complex boundaries and large domain sizes, which may preclude the effective use of more conventional methods. In this work, a model is presented which couples a two-dimensional alternate-direction-implicit finite-difference diffusion solution with a cellular automation growth algorithm to simulate morphological evolution in alloys solidifying under directional growth conditions. Temperature, composition, and interface curvature are incorporated into a local growth potential which is used by the automation, allowing the interface to evolve. Alloy solidification is simulated over a range of experimental conditions, producing various structures. Issues addressed include morphological instability, primary spacing selection, interface curvature, microsegregation, and tip conditions.
Minerals, Metals, and Materials Society


alloy solidification, solidification modeling


Napolitano, R. and Sanders, T. (1998), Cellular Automation Finite Difference Modeling of Morphological Evolution During Alloy Solidification, Minerals, Metals, and Materials Society (Accessed February 26, 2024)
Created March 1, 1998, Updated February 17, 2017