Title | Computer simulations of phase field drops on super-hydrophobic surfaces |
Publication Type | Journal Article |
Year of Publication | 2017 |
Authors | Fedeli, L |
Journal | Journal of Computational Physics |
Volume | 344 |
Pagination | 247 - 259 |
ISSN | 0021-9991 |
Keywords | Multigrid; Phase field; Quasi-Newton; Super-hydrophobicity |
Abstract | We present a novel quasi-Newton continuation procedure that efficiently solves the system of nonlinear equations arising from the discretization of a phase field model for wetting phenomena. We perform a comparative numerical analysis that shows the improved speed of convergence gained with respect to other numerical schemes. Moreover, we discuss the conditions that, on a theoretical level, guarantee the convergence of this method. At each iterative step, a suitable continuation procedure develops and passes to the nonlinear solver an accurate initial guess. Discretization performs through cell-centered finite differences. The resulting system of equations is solved on a composite grid that uses dynamic mesh refinement and multi-grid techniques. The final code achieves three-dimensional, realistic computer experiments comparable to those produced in laboratory settings. This code offers not only new insights into the phenomenology of super-hydrophobicity, but also serves as a reliable predictive tool for the study of hydrophobic surfaces. |
URL | http://www.sciencedirect.com/science/article/pii/S002199911730356X |
DOI | 10.1016/j.jcp.2017.04.068 |
Computer simulations of phase field drops on super-hydrophobic surfaces
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