Modeling low Reynolds number incompressible flows using SPH
Journal of Computational Physics
Direct Least Square Fitting of Ellipses
IEEE Transactions on Pattern Analysis and Machine Intelligence
Variational problems and partial differential equations on implicit surfaces
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
Journal of Computational Physics
A multi-phase SPH method for macroscopic and mesoscopic flows
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 diffuse-interface method for two-phase flows with soluble surfactants
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 generalized wall boundary condition for smoothed particle hydrodynamics
Journal of Computational Physics
A continuum model of interfacial surfactant transport for particle methods
Journal of Computational Physics
Consistent surface model for SPH-based fluid transport
Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
An embedded boundary method for soluble surfactants with interface tracking for two-phase flows
Journal of Computational Physics
Hi-index | 31.48 |
In this paper, a Lagrangian particle method is proposed for the simulation of multiphase flows with surfactant. The model is based on the multiphase smoothed particle hydrodynamics (SPH) framework of Hu and Adams (2006) [1]. Surface-active agents (surfactants) are incorporated into our method by a scalar quantity describing the local concentration of molecules in the bulk phase and on the interface. The surfactant dynamics are written in conservative form, thus global mass of surfactant is conserved exactly. The transport model of the surfactant accounts for advection and diffusion. Within our method, we can simulate insoluble surfactant on an arbitrary interface geometry as well as interfacial transport such as adsorption or desorption. The flow-field dynamics and the surfactant dynamics are coupled through a constitutive equation, which relates the local surfactant concentration to the local surface-tension coefficient. Hence, the surface-tension model includes capillary and Marangoni-forces. The present numerical method is validated by comparison with analytic solutions for diffusion and for surfactant dynamics. More complex simulations of an oscillating bubble, the bubble deformation in a shear flow, and of a Marangoni-force driven bubble show the capabilities of our method to simulate interfacial flows with surfactants.