A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Improved volume conservation in the computation of flows with immersed elastic boundaries
Journal of Computational Physics
SIAM Journal on Numerical Analysis
Accurate projection methods for the incompressible Navier—Stokes equations
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface
Journal of Scientific Computing
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
A front-tracking method for computation of interfacial flows with soluble surfactants
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
Simulating the dynamics of inextensible vesicles by the penalty immersed boundary method
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
Efficient numerical methods for multiple surfactant-coated bubbles in a two-dimensional stokes flow
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A level-set continuum method for two-phase flows with insoluble surfactant
Journal of Computational Physics
A continuum model of interfacial surfactant transport for particle methods
Journal of Computational Physics
An embedded boundary method for soluble surfactants with interface tracking for two-phase flows
Journal of Computational Physics
Hi-index | 31.50 |
In this paper, an immersed boundary method is proposed for the simulation of two-dimensional fluid interfaces with insoluble surfactant. The governing equations are written in a usual immersed boundary formulation where a mixture of Eulerian flow and Lagrangian interfacial variables are used and the linkage between these two set of variables is provided by the Dirac delta function. The immersed boundary force comes from the surface tension which is affected by the distribution of surfactant along the interface. By tracking the interface in a Lagrangian manner, a simplified surfactant transport equation is derived. The numerical method involves solving the Navier-Stokes equations on a staggered grid by a semi-implicit pressure increment projection method where the immersed interfacial forces are calculated at the beginning of each time step. Once the velocity value and interfacial configurations are obtained, surfactant concentration is updated using the transport equation. In this paper, a new symmetric discretization for the surfactant concentration equation is proposed that ensures the surfactant mass conservation numerically. The effect of surfactant on drop deformation in a shear flow is investigated in detail.