Droplet dynamics on a solid substrate is significantly influenced by surfactants. It remains a
challenging task to model and simulate the moving contact line dynamics with soluble …

A finite-difference/front-tracking method is developed for simulations of soluble surfactants in
3D multiphase flows. The interfacial and bulk surfactant concentration evolution equations …

In this contribution we present a new computational method for coupled bulk-surface
problems on time-dependent domains. The method is based on a space–time formulation …

Surfactants are widely used in the manipulation of drop motion in microchannels, which is
commonly involved in many applications, eg, surfactant assisted oil recovery and droplet …

In this paper, we develop a first order (in time) numerical scheme for the binary fluid
surfactant phase field model. The free energy contains a double-well potential, a nonlinear …

In this paper, we construct several linear, decoupled and energy stable schemes for a phase-
field surfactant model, in which the free energy functional contains a fourth-order Ginzburg …

Understanding and enabling the control of the properties of foams is important for a variety
of commercial processes and consumer products. In these systems, the role of surface active …

In this work, we present a hydrodynamics coupled phase-field surfactant model with variable
densities. Two scalar auxiliary variables are introduced to transform the original free energy …

The presence of surfactants alters the dynamics of viscous drops immersed in an ambient
viscous fluid. This is specifically true at small scales, such as in applications of droplet based …

Surfactants play a critical role in the physics of paint and coating formulations, affecting key
rheological properties such as viscosity, yield stress, and thixotropy. This paper proposes a …