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. © 1999 The American Physical Society.
CITATION STYLE
Folch, R., Casademunt, J., Hernández-Machado, A., & Ramírez-Piscina, L. (1999). Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. II. Numerical study. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 60(2), 1734–1740. https://doi.org/10.1103/PhysRevE.60.1734
Mendeley helps you to discover research relevant for your work.