A phase-field description of surface-tension-driven instability
Abstract
In this paper we report on 2D numerical simulations concerning linear and nonlinear evolution of surface-tension-driven instability in two-fluid systems heated from below using classical and phase-field models. In the phase-field formalism, one introduces an order parameter called phase-field function to characterize thermodynamically the phases. All the system parameters are assumed to vary continuously from one fluid bulk to another (as linear functions of the phase-field). The Navier-Stokes equation (with some extra terms) and the heat equation are written only once for the whole system. The evolution of the phase-field is described by the Cahn-Hilliard equation. In the sharp-interface limit the results found by the phase-field formalism recover the results given by the classical formulation.
Cite
@article{arxiv.nlin/0401018,
title = {A phase-field description of surface-tension-driven instability},
author = {Rodica Borcia and Domnic Merkt and Michael Bestehorn},
journal= {arXiv preprint arXiv:nlin/0401018},
year = {2015}
}
Comments
17 pages, 10 figures, accepted for publication in Int.J. Bifurcat. Chaos