A continuum method for modeling surface tension
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
SIAM Journal on Scientific Computing
Journal of Computational Physics
A hybrid method for moving interface problems with application to the Hele-Shaw flow
Journal of Computational Physics
A numerical method for solving incompressible flow problems with a surface of discontinuity
Journal of Computational Physics
An adaptive level set approach for incompressible two-phase flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
Journal of Computational Physics
The point-set method: front-tracking without connectivity
Journal of Computational Physics
An adaptive mesh algorithm for evolving surfaces: simulation of drop breakup and coalescence
Journal of Computational Physics
Level set methods: an overview and some recent results
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Numerical simulation of moving contact line problems using a volume-of-fluid method
Journal of Computational Physics
Journal of Computational Physics
PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface
Journal of Scientific Computing
An Immersed Interface Method for Incompressible Navier-Stokes Equations
SIAM Journal on Scientific Computing
Conservative multigrid methods for Cahn-Hilliard fluids
Journal of Computational Physics
A level-set method for interfacial flows with surfactant
Journal of Computational Physics
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
Journal of Computational Physics
An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies
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
A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces
SIAM Journal on Numerical Analysis
Modeling Cell Movement and Chemotaxis Using Pseudopod-Based Feedback
SIAM Journal on Scientific Computing
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 | 31.53 |
An axisymmetric numerical method to simulate the dynamics of insoluble surfactant on a moving liquid-fluid interface is presented. The motion of the interface is captured using a volume-of-fluid method. Surface tension, which can be a linear or nonlinear function of surfactant concentration (equation of state), is included as a continuum surface force. The surfactant evolution is governed by a convection-diffusion equation with a source term that accounts for stretching of the interface. In the numerical method, the masses of the flow components and the surfactant mass are exactly conserved. A number of test cases are presented to validate the algorithm. Simulations of a drop in extensional flow, and its subsequent retraction and breakup upon cessation of the external flow, are performed. Even when the initial surfactant distribution is dilute, we observe that increases in surfactant concentration locally (i.e. at the drop tips) can result in a local deviation from the dilute limit. We show that this can lead to differences in effective surface tension, the Marangoni forces and the associated drop dynamics between results using the linear and nonlinear equations of state.