In this work, we propose and test the validity of a modified Phase Field Method (PFM), which
is specifically developed for large scale simulations of turbulent flows with large and …

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 work, we propose a novel scalar-transport model for the simulation of scalar quantities
that are confined to the interface in two-phase flows. In a two-phase flow, the scalar …

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 …

Phase field models for two-phase flow with a surfactant soluble in possibly both fluids are
derived from balance equations and an energy inequality so that thermodynamic …

A level-set continuum surface force method is presented to compute two-phase flows with
insoluble surfactant. Our method recasts the Navier–Stokes equations for a two-phase flow …

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 …

An existing phase-fieldmodel of two immiscible fluids with a single soluble surfactant present
is discussed in detail. We analyze the well-posedness of the model and provide strong …

This paper presents a new diffuse interface model for multiphase incompressible immiscible
fluid flows with surface tension and buoyancy effects. In the new model, we employ a new …

In this work, we extend the multiphase lattice Boltzmann flux solver, which was proposed in
[1] for simulating incompressible flows of binary fluids based on two-component Cahn …