Year: 2005
Type: article
Abstract: We derive a thermodynamically consistent phase-field model for flows containing three (or more) liquid components.The model is based on a Navier-Stokes (NS) and Cahn-Hilliard system (CH) which accounts for surface tension among the different components and three-phase contact lines.We develop a stable conservative, second order accurate fully implicit discretization of the NS and threephase (ternary) CH system.We use a nonlinear multigrid method to efficiently solve the discrete ternary CH system at the implicit time-level and then couple it to a multigrid/projection method that is used to solve the NS equation.We demonstrate convergence of our scheme numerically and perform numerical simulations to show the accuracy, flexibility, and robustness of this approach.In particular, we simulate a three-interface contact angle resulting from a spreading liquid lens on an interface, a buoyancy-driven compound drop, and the Rayleigh-Taylor instability of a flow with three partially miscible components.
DOI: 10.4171/ifb/132
Authors: Junseok Kim, John Lowengrub
Institution: University of California, Irvine
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2070187243