A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Applied numerical linear algebra
Applied numerical linear algebra
Transport and diffusion of material quantities on propagating interfaces via level set methods
Journal of Computational Physics
An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface
Journal of Scientific Computing
Difference Approximations of the Neumann Problem for the Second Order Wave Equation
SIAM Journal on Numerical Analysis
Numerical approximations of singular source terms in differential equations
Journal of Computational Physics
A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
Journal of Computational Physics
A level-set method for interfacial flows with surfactant
Journal of Computational Physics
Journal of Computational Physics
A front-tracking method for computation of interfacial flows with soluble surfactants
Journal of Computational Physics
An immersed boundary method for interfacial flows with insoluble surfactant
Journal of Computational Physics
A conservative SPH method for surfactant dynamics
Journal of Computational Physics
A hybrid numerical method for interfacial fluid flow with soluble surfactant
Journal of Computational Physics
Phase-field modeling droplet dynamics with soluble surfactants
Journal of Computational Physics
A diffuse-interface method for two-phase flows with soluble surfactants
Journal of Computational Physics
Hi-index | 31.45 |
Surfactants, surface reacting agents, lower the surface tension of the interface between fluids in multiphase flow. This capability of surfactants makes them ideal for many applications, including wetting, foaming, and dispersing. Due to their molecular composition, surfactants are adsorbed from the bulk fluid to the interface between the fluids, leading to different concentrations on the interface and in the fluid. In a previous paper [21], we introduced a new second order method using uniform grids to simulate insoluble surfactants in multiphase flow. This method used Strang splitting allowing for a fully second order treatment in time. Here, we use the same numerical methods to explicitly represent the singular interface, treat the interfacial surfactant concentration, and couple with the Navier-Stokes equations. Now, we introduce a second order method for the surfactants in the bulk that continues to allow the use of regular grids for the full problem. Difficulties arise since the boundary condition for the bulk concentration, which handles the flux of surfactant between the interface and bulk fluid, is applied at the interface which cuts arbitrarily through the regular grid. We extend the embedded boundary method, introduced in [22], to handle this challenge. Through our results, we present the effect of the solubility of the surfactants. We show results of drop dynamics due to resulting Marangoni stresses and of drop deformations in shear flow in the presence of soluble surfactants. There is a large nondimensional parameter space over which we try to understand the drop dynamics.