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

K.A. Hawick and D.P.Playne
Institute of Information and Mathematical Sciences, Massey University, Auckland, North Shore 102-904, New Zealand
International Journal of Computer Aided Engineering and Technology, Volume 2, Number 1 / 2010, p.78-93

@article{hawick2010modelling,

   title={Modelling, simulating and visualising the Cahn-Hilliard-Cook field equation},

   author={Hawick, KA and Playne, DP},

   journal={International Journal of Computer Aided Engineering and Technology},

   volume={2},

   number={1},

   pages={78–93},

   issn={1757-2657},

   year={2010},

   publisher={Inderscience}

}

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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.
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