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

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

1999-03-10

arxiv.org/abs/cond-mat/9903173v2

Phys. Rev. E, 60, pp. 1734-1740 (1999)

Physics

Condensed Matter

Soft Condensed Matter

13 pages in revtex, 5 PostScript figures. changes: 1 reference added, figs. 4 and 5 rearranged

Scientific paper

10.1103/PhysRevE.60.1734

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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