%0 Journal Article %1 citeulike:10724874 %A Xu, Jian-Jun %A Yang, Yin %A Lowengrub, John %D 2012 %J Journal of Computational Physics %K level-set, surfactant-transport-equation %N 17 %P 5897--5909 %R 10.1016/j.jcp.2012.05.014 %T A level-set continuum method for two-phase flows with insoluble surfactant %U http://dx.doi.org/10.1016/j.jcp.2012.05.014 %V 231 %X 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 with insoluble surfactant as ” one-fluid” formulation. Interfacial transport and interfacial jump conditions are treated using the level-set method and the discrete Dirac function. Based on the density-weighted projection method, a stable semi-implicit scheme is used to decouple the velocity components in solving the regularized Navier–Stokes equations. It allows numerical simulations for a wide range of viscosity ratios and density ratios. Numerical simulations on single drop deformation in a 2D shear flow are presented. Simulations on two drop interaction shows that surfactants can play a critical role in preventing drop coalescence. A fully 3D simulation demonstrating the physical interactions of multiple surfactant-laden drops is presented.

@article{citeulike:10724874, abstract = {{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 with insoluble surfactant as ” one-fluid” formulation. Interfacial transport and interfacial jump conditions are treated using the level-set method and the discrete Dirac function. Based on the density-weighted projection method, a stable semi-implicit scheme is used to decouple the velocity components in solving the regularized Navier–Stokes equations. It allows numerical simulations for a wide range of viscosity ratios and density ratios. Numerical simulations on single drop deformation in a 2D shear flow are presented. Simulations on two drop interaction shows that surfactants can play a critical role in preventing drop coalescence. A fully 3D simulation demonstrating the physical interactions of multiple surfactant-laden drops is presented.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Xu, Jian-Jun and Yang, Yin and Lowengrub, John}, biburl = {https://www.bibsonomy.org/bibtex/215d3425ea62965245d8001f3bfd6d05d/gdmcbain}, citeulike-article-id = {10724874}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jcp.2012.05.014}, doi = {10.1016/j.jcp.2012.05.014}, interhash = {7896a5ac02b60ae78fbd800b71e8dc03}, intrahash = {15d3425ea62965245d8001f3bfd6d05d}, issn = {00219991}, journal = {Journal of Computational Physics}, keywords = {level-set, surfactant-transport-equation}, month = jul, number = 17, pages = {5897--5909}, posted-at = {2012-08-14 10:43:41}, priority = {2}, timestamp = {2017-06-29T07:13:07.000+0200}, title = {{A level-set continuum method for two-phase flows with insoluble surfactant}}, url = {http://dx.doi.org/10.1016/j.jcp.2012.05.014}, volume = 231, year = 2012 }