In this paper, we consider the numerical solution of a binary fluid–surfactant phase field
model, in which the free energy contains a nonlinear coupling entropy, a Ginzburg–Landau …

High fidelity thermal multi-phase flow simulations are in much demand to reveal the multi-
scale and multi-physics phenomena in metal additive manufacturing (AM) processes, yet …

To understand how the motion of a droplet on a surface can be controlled by wettability
gradients is interesting in a variety of technical applications. Phase field (PF) models can be …

A novel multi-phase flow formulation using a level-set-based interface-capturing approach is
proposed, focusing on addressing numerical challenges associated with the modeling of …

Many important industrial processes, such as additive manufacturing, involve rapid mass,
flow and heat transport between gas, liquid and solid phases. Various associated …

In this paper, we consider numerical approximations of the binary surfactant phase-field
model on complex surfaces. Consisting of two nonlinearly coupled Cahn–Hilliard type …

Microchannel emulsification requires large amounts of surfactant to prevent coalescence
and improve emulsions lifetime. However, most numerical studies have considered …

We present an improved phase-field model in the lattice Boltzmann scheme to investigate
the droplet dynamics in the presence of soluble surfactant. The phase-field model based on …

Two-phase systems with surfactants have extensive applications in scientific and industrial
fields. In this paper, we consider a second-order time-accurate, highly efficient, and energy …

At small scales, the interaction of multicomponent fluids and solids can be dominated by
capillary forces giving rise to elastocapillarity. Surface tension may deform or even collapse …