A phase-field description of surface-tension-driven instability

Details A phase-field description of surface-tension-driven instability A phase-field description of surface-tension-driven instability

2004-01-13

arxiv.org/abs/nlin/0401018v1

Nonlinear Sciences

Pattern Formation and Solitons

17 pages, 10 figures, accepted for publication in Int.J. Bifurcat. Chaos

Scientific paper

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.

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