Title:
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Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
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Author:
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Folch Manzanares, Roger; Casademunt i Viader, Jaume; Hernández Machado, Aurora; Ramírez Piscina, Laureano
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. |
Subject(s):
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-Física estadística -Termodinàmica -Sistemes dinàmics diferenciables -Dinàmica de fluids -Statistical physics -Thermodynamics -Differentiable dynamical systems -Fluid dynamics |
Rights:
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(c) The American Physical Society, 1999
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Document type:
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Article Article - Published version |
Published by:
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The American Physical Society
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