title: Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. II. Numerical study.
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.
authors.affiliation: Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, Avinguda Diagonal, 647, E-08028 Barcelona, Spain.
authors.forename: R
authors.initials: R
authors.lastname: Folch
authors.forename: J
authors.initials: J
authors.lastname: Casademunt
authors.forename: A
authors.initials: A
authors.lastname: Hernández-Machado
authors.forename: L
authors.initials: L
authors.lastname: Ramírez-Piscina