Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519517 | Journal of Computational Physics | 2011 | 12 Pages |
Abstract
Spectral methods for simulation of a mesoscopic diffusion model of surface pattern formation are evaluated for long simulation times. Backwards-differencing time-integration, coupled with an underlying Newton–Krylov nonlinear solver (SUNDIALS-CVODE), is found to substantially accelerate simulations, without the typical requirement of preconditioning. Quasi-equilibrium simulations of patterned phases predicted by the model are shown to agree well with linear stability analysis. Simulation results of the effect of repulsive particle–particle interactions on pattern relaxation time and short/long-range order are discussed.
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Authors
Nasser Mohieddin Abukhdeir, Dionisios G. Vlachos, Markos Katsoulakis, Michael Plexousakis,