Title: Modelling, simulating and visualising the Cahn-Hilliard-Cook field equation

Authors: K.A. Hawick, D.P. Playne

Addresses: Institute of Information and Mathematical Sciences, Massey University, Auckland, North Shore 102-904, New Zealand. ' Institute of Information and Mathematical Sciences, Massey University, Auckland, North Shore 102-904, New Zealand

Abstract: The Cahn-Hilliard-Cook equation continues to be a useful model describing binary phase separation in systems such as alloys and other physical and chemical applications. We describe our investigation of this field equation and report on the various discretisation schemes we used to integrate the system in one-, two- and three-dimensions. We also discuss how the equation can be visualised effectively in these different dimensions and consider how these techniques can usefully be applied to other partial differential equations.

Keywords: alloys; partial differential equations; PDE; 3-D visualisation; interactive; binary phase separation; modelling; simulation; Cahn-Hilliard-Cook field equation; discretisation.

DOI: 10.1504/IJCAET.2010.029598

International Journal of Computer Aided Engineering and Technology, 2010 Vol.2 No.1, pp.78 - 93

Published online: 30 Nov 2009 *

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