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Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime

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A one-sided phase-field model is proposed to study the dynamics of unstable interfaces of Hele-Shaw flows in the high viscosity contrast regime. The corresponding macroscopic equations are obtained by means of an asymptotic expansion from the phase-field model. Numerical integrations of the phase-field model in a rectangular Hele-Shaw cell reproduce finger competition with the final evolution to a steady-state finger.

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Articles publicats en revistes (Física Quàntica i Astrofísica)

# metadata.dc.title[].value
Phase-field model of Hele-Shaw flows in the high-viscosity contrast regime