Phase-field-based lattice Boltzmann model for ternary fluid flows considering the wettability effect

A phase-field-based lattice Boltzmann model for ternary fluid flows is proposed, where the conservative Allen-Cahn equation for ternary fluids is used to track the interface of fluids. A time derivative term is introduced into the lattice Boltzmann equation for the conservative Allen-Cahn equation and a forcing distribution function is used in the lattice Boltzmann equation for the Navier-Stokes equations. The computational accuracy and...