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.

A Phase-Field Model for High Anisotropic InterfaciEnergy



Geoffrey B. McFadden, J J. Eggleston, P W. Voorhees


A computationally efficient phase-field model is developed for two-phase systems with anisotropic interfacial energy. The approach allows for anisotropies sufficiently high that the interface has corners or missing crystallographic orientations. The method employs a regularization that enforces local equilibrium at the corners and allows corners to be added or removed without explicitly tracking their location. Numerical simulations for various degrees of anisotropy were performed and they show excellent agreement with analytical equilibrium shapes and yield accurate time dependent solutions for a wide variety of initial conditions.
- 6706
Report Number


anisotropy, interfacial energy, phase-field


McFadden, G. , Eggleston, J. and Voorhees, P. (2001), A Phase-Field Model for High Anisotropic InterfaciEnergy, - 6706, National Institute of Standards and Technology, Gaithersburg, MD (Accessed April 19, 2024)
Created January 1, 2001, Updated October 16, 2008