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Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. II. Numerical study

R. Folch·J. Casademunt·A. Hernandez-Machado·L. Ramirez-Piscina
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Abstract

We implement a phase-field simulation of the dynamics of two fluids with arbitrary viscosity contrast in a rectangular Hele-Shaw cell. We demonstrate the use of this technique in different situations including the linear regime, the stationary Saffman-Taylor fingers and the multifinger competition dynamics, for different viscosity contrasts. The method is quantitatively tested against analytical predictions and other numerical results. A detailed analysis of convergence to the sharp interface limit is performed for the linear dispersion results. We show that the method may be a useful alternative to more traditional methods.

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R. Folch, J. Casademunt, A. Hernandez-Machado, L. Ramirez-Piscina. 1999-09-13. Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. II. Numerical study. https://doi.org/10.1103/physreve.60.1734

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