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Phase-field model for Hele-Shaw flows with arabitrary contrast II: numerical approach
Folch Manzanares, Roger; Casademunt i Viader, Jaume; Hernández Machado, Aurora; Ramírez Piscina, Laureano
Universitat de Barcelona
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.
2011-07-26
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Dinàmica de fluids
Statistical physics
Thermodynamics
Differentiable dynamical systems
Fluid dynamics
(c) The American Physical Society, 1999
Article
The American Physical Society
         

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