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Title: Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
Author: Folch Manzanares, Roger
Casademunt i Viader, Jaume
Hernández Machado, Aurora
Ramírez Piscina, Laureano
Keywords: Física estadística
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Differentiable dynamical systems
Fluid dynamics
Issue Date: 1999
Publisher: The American Physical Society
Abstract: We present a phase-field model for the dynamics of the interface between two inmiscible fluids with arbitrary viscosity contrast in a rectangular Hele-Shaw cell. With asymptotic matching techniques we check the model to yield the right Hele-Shaw equations in the sharp-interface limit, and compute the corrections to these equations to first order in the interface thickness. We also compute the effect of such corrections on the linear dispersion relation of the planar interface. We discuss in detail the conditions on the interface thickness to control the accuracy and convergence of the phase-field model to the limiting Hele-Shaw dynamics. In particular, the convergence appears to be slower for high viscosity contrasts.
Note: Reproducció del document publicat a:
It is part of: Physical Review E, 1999, vol. E60, p. 1734-1740
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ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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